[8] | 1 | /*! |
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| 2 | \file |
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| 3 | \brief Probability distributions for Exponential Family models. |
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| 4 | \author Vaclav Smidl. |
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| 5 | |
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| 6 | ----------------------------------- |
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| 7 | BDM++ - C++ library for Bayesian Decision Making under Uncertainty |
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| 8 | |
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| 9 | Using IT++ for numerical operations |
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| 10 | ----------------------------------- |
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| 11 | */ |
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| 12 | |
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| 13 | #ifndef EF_H |
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| 14 | #define EF_H |
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| 15 | |
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[262] | 16 | |
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[461] | 17 | #include "../shared_ptr.h" |
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[384] | 18 | #include "../base/bdmbase.h" |
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[262] | 19 | #include "../math/chmat.h" |
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[8] | 20 | |
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[294] | 21 | namespace bdm |
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| 22 | { |
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[8] | 23 | |
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[32] | 24 | |
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| 25 | //! Global Uniform_RNG |
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[488] | 26 | extern Uniform_RNG UniRNG; |
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[33] | 27 | //! Global Normal_RNG |
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[488] | 28 | extern Normal_RNG NorRNG; |
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[33] | 29 | //! Global Gamma_RNG |
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[488] | 30 | extern Gamma_RNG GamRNG; |
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[32] | 31 | |
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[488] | 32 | /*! |
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| 33 | * \brief General conjugate exponential family posterior density. |
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[8] | 34 | |
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[488] | 35 | * More?... |
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| 36 | */ |
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[28] | 37 | |
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[488] | 38 | class eEF : public epdf |
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| 39 | { |
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| 40 | public: |
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[32] | 41 | // eEF() :epdf() {}; |
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[488] | 42 | //! default constructor |
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| 43 | eEF () : epdf () {}; |
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| 44 | //! logarithm of the normalizing constant, \f$\mathcal{I}\f$ |
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| 45 | virtual double lognc() const = 0; |
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[565] | 46 | |
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[488] | 47 | //!Evaluate normalized log-probability |
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[565] | 48 | virtual double evallog_nn (const vec &val) const { |
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| 49 | bdm_error ("Not implemented"); |
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| 50 | return 0.0; |
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| 51 | } |
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| 52 | |
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[488] | 53 | //!Evaluate normalized log-probability |
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| 54 | virtual double evallog (const vec &val) const { |
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| 55 | double tmp; |
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| 56 | tmp = evallog_nn (val) - lognc(); |
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| 57 | return tmp; |
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| 58 | } |
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| 59 | //!Evaluate normalized log-probability for many samples |
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| 60 | virtual vec evallog_m (const mat &Val) const { |
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| 61 | vec x (Val.cols()); |
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| 62 | for (int i = 0;i < Val.cols();i++) {x (i) = evallog_nn (Val.get_col (i)) ;} |
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| 63 | return x -lognc(); |
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| 64 | } |
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| 65 | //!Evaluate normalized log-probability for many samples |
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| 66 | virtual vec evallog_m (const Array<vec> &Val) const { |
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| 67 | vec x (Val.length()); |
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| 68 | for (int i = 0;i < Val.length();i++) {x (i) = evallog_nn (Val (i)) ;} |
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| 69 | return x -lognc(); |
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| 70 | } |
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[565] | 71 | |
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[488] | 72 | //!Power of the density, used e.g. to flatten the density |
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[565] | 73 | virtual void pow (double p) { |
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| 74 | bdm_error ("Not implemented"); |
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| 75 | } |
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[488] | 76 | }; |
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[8] | 77 | |
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[33] | 78 | |
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[170] | 79 | //! Estimator for Exponential family |
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[488] | 80 | class BMEF : public BM |
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| 81 | { |
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| 82 | protected: |
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| 83 | //! forgetting factor |
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| 84 | double frg; |
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| 85 | //! cached value of lognc() in the previous step (used in evaluation of \c ll ) |
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| 86 | double last_lognc; |
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| 87 | public: |
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| 88 | //! Default constructor (=empty constructor) |
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| 89 | BMEF (double frg0 = 1.0) : BM (), frg (frg0) {} |
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| 90 | //! Copy constructor |
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| 91 | BMEF (const BMEF &B) : BM (B), frg (B.frg), last_lognc (B.last_lognc) {} |
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| 92 | //!get statistics from another model |
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[565] | 93 | virtual void set_statistics (const BMEF* BM0) { |
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| 94 | bdm_error ("Not implemented"); |
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| 95 | } |
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| 96 | |
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[488] | 97 | //! Weighted update of sufficient statistics (Bayes rule) |
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| 98 | virtual void bayes (const vec &data, const double w) {}; |
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| 99 | //original Bayes |
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| 100 | void bayes (const vec &dt); |
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[565] | 101 | |
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[488] | 102 | //!Flatten the posterior according to the given BMEF (of the same type!) |
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[565] | 103 | virtual void flatten (const BMEF * B) { |
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| 104 | bdm_error ("Not implemented"); |
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| 105 | } |
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[198] | 106 | |
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[565] | 107 | BMEF* _copy_ () const { |
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| 108 | bdm_error ("function _copy_ not implemented for this BM"); |
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| 109 | return NULL; |
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| 110 | } |
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[488] | 111 | }; |
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[170] | 112 | |
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[504] | 113 | template<class sq_T, template <typename> class TEpdf> |
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[488] | 114 | class mlnorm; |
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[178] | 115 | |
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[488] | 116 | /*! |
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| 117 | * \brief Gaussian density with positive definite (decomposed) covariance matrix. |
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[8] | 118 | |
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[488] | 119 | * More?... |
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| 120 | */ |
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| 121 | template<class sq_T> |
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| 122 | class enorm : public eEF |
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| 123 | { |
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| 124 | protected: |
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| 125 | //! mean value |
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| 126 | vec mu; |
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| 127 | //! Covariance matrix in decomposed form |
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| 128 | sq_T R; |
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| 129 | public: |
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| 130 | //!\name Constructors |
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| 131 | //!@{ |
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[270] | 132 | |
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[488] | 133 | enorm () : eEF (), mu (), R () {}; |
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| 134 | enorm (const vec &mu, const sq_T &R) {set_parameters (mu, R);} |
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| 135 | void set_parameters (const vec &mu, const sq_T &R); |
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[621] | 136 | /*! Create Normal density |
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| 137 | \f[ f(rv) = N(\mu, R) \f] |
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| 138 | from structure |
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| 139 | \code |
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| 140 | class = 'enorm<ldmat>', (OR) 'enorm<chmat>', (OR) 'enorm<fsqmat>'; |
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| 141 | mu = []; // mean value |
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| 142 | R = []; // variance, square matrix of appropriate dimension |
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| 143 | \endcode |
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| 144 | */ |
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[488] | 145 | void from_setting (const Setting &root); |
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| 146 | void validate() { |
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[620] | 147 | bdm_assert (mu.length() == R.rows(), "mu and R parameters do not match"); |
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[488] | 148 | dim = mu.length(); |
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| 149 | } |
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| 150 | //!@} |
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[270] | 151 | |
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[488] | 152 | //! \name Mathematical operations |
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| 153 | //!@{ |
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[270] | 154 | |
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[488] | 155 | //! dupdate in exponential form (not really handy) |
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| 156 | void dupdate (mat &v, double nu = 1.0); |
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[28] | 157 | |
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[488] | 158 | vec sample() const; |
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[450] | 159 | |
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[488] | 160 | double evallog_nn (const vec &val) const; |
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| 161 | double lognc () const; |
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| 162 | vec mean() const {return mu;} |
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| 163 | vec variance() const {return diag (R.to_mat());} |
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[299] | 164 | // mlnorm<sq_T>* condition ( const RV &rvn ) const ; <=========== fails to cmpile. Why? |
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[504] | 165 | shared_ptr<mpdf> condition ( const RV &rvn ) const; |
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| 166 | |
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| 167 | // target not typed to mlnorm<sq_T, enorm<sq_T> > & |
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| 168 | // because that doesn't compile (perhaps because we |
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| 169 | // haven't finished defining enorm yet), but the type |
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| 170 | // is required |
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| 171 | void condition ( const RV &rvn, mpdf &target ) const; |
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| 172 | |
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| 173 | shared_ptr<epdf> marginal (const RV &rvn ) const; |
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| 174 | void marginal ( const RV &rvn, enorm<sq_T> &target ) const; |
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[488] | 175 | //!@} |
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[270] | 176 | |
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[488] | 177 | //! \name Access to attributes |
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| 178 | //!@{ |
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[270] | 179 | |
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[488] | 180 | vec& _mu() {return mu;} |
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[583] | 181 | const vec& _mu() const {return mu;} |
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[488] | 182 | void set_mu (const vec mu0) { mu = mu0;} |
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| 183 | sq_T& _R() {return R;} |
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| 184 | const sq_T& _R() const {return R;} |
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| 185 | //!@} |
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[28] | 186 | |
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[488] | 187 | }; |
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[535] | 188 | UIREGISTER2 (enorm, chmat); |
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[529] | 189 | SHAREDPTR2 ( enorm, chmat ); |
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[535] | 190 | UIREGISTER2 (enorm, ldmat); |
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[529] | 191 | SHAREDPTR2 ( enorm, ldmat ); |
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[535] | 192 | UIREGISTER2 (enorm, fsqmat); |
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[529] | 193 | SHAREDPTR2 ( enorm, fsqmat ); |
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[8] | 194 | |
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[388] | 195 | |
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[488] | 196 | /*! |
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| 197 | * \brief Gauss-inverse-Wishart density stored in LD form |
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[96] | 198 | |
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[488] | 199 | * For \f$p\f$-variate densities, given rv.count() should be \f$p\times\f$ V.rows(). |
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| 200 | * |
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| 201 | */ |
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| 202 | class egiw : public eEF |
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| 203 | { |
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| 204 | protected: |
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| 205 | //! Extended information matrix of sufficient statistics |
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| 206 | ldmat V; |
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| 207 | //! Number of data records (degrees of freedom) of sufficient statistics |
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| 208 | double nu; |
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| 209 | //! Dimension of the output |
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| 210 | int dimx; |
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| 211 | //! Dimension of the regressor |
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| 212 | int nPsi; |
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| 213 | public: |
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| 214 | //!\name Constructors |
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| 215 | //!@{ |
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| 216 | egiw() : eEF() {}; |
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| 217 | egiw (int dimx0, ldmat V0, double nu0 = -1.0) : eEF() {set_parameters (dimx0, V0, nu0);}; |
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[270] | 218 | |
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[629] | 219 | void set_parameters (int dimx0, ldmat V0, double nu0 = -1.0); |
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[488] | 220 | //!@} |
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[96] | 221 | |
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[488] | 222 | vec sample() const; |
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| 223 | vec mean() const; |
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| 224 | vec variance() const; |
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[330] | 225 | |
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[488] | 226 | //! LS estimate of \f$\theta\f$ |
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| 227 | vec est_theta() const; |
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[330] | 228 | |
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[488] | 229 | //! Covariance of the LS estimate |
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| 230 | ldmat est_theta_cov() const; |
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[330] | 231 | |
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[536] | 232 | //! expected values of the linear coefficient and the covariance matrix are written to \c M and \c R , respectively |
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[488] | 233 | void mean_mat (mat &M, mat&R) const; |
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| 234 | //! In this instance, val= [theta, r]. For multivariate instances, it is stored columnwise val = [theta_1 theta_2 ... r_1 r_2 ] |
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| 235 | double evallog_nn (const vec &val) const; |
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| 236 | double lognc () const; |
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| 237 | void pow (double p) {V *= p;nu *= p;}; |
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[96] | 238 | |
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[488] | 239 | //! \name Access attributes |
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| 240 | //!@{ |
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[270] | 241 | |
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[488] | 242 | ldmat& _V() {return V;} |
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| 243 | const ldmat& _V() const {return V;} |
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| 244 | double& _nu() {return nu;} |
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| 245 | const double& _nu() const {return nu;} |
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[621] | 246 | /*! Create Gauss-inverse-Wishart density |
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| 247 | \f[ f(rv) = GiW(V,\nu) \f] |
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| 248 | from structure |
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| 249 | \code |
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| 250 | class = 'egiw'; |
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| 251 | V = []; // square matrix |
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| 252 | nu = []; // scalar \nu ((almost) degrees of freedom) |
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| 253 | // when missing, it will be computed to obtain proper pdf |
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| 254 | dimx = []; // dimension of the wishart part |
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| 255 | rv = RV({'name'}) // description of RV |
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| 256 | rvc = RV({'name'}) // description of RV in condition |
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| 257 | \endcode |
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| 258 | */ |
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| 259 | |
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[488] | 260 | void from_setting (const Setting &set) { |
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[621] | 261 | epdf::from_setting(set); |
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| 262 | if (!UI::get (nu, set, "nu", UI::compulsory)) {nu=-1;} |
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[488] | 263 | UI::get (dimx, set, "dimx", UI::compulsory); |
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| 264 | mat V; |
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| 265 | UI::get (V, set, "V", UI::compulsory); |
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| 266 | set_parameters (dimx, V, nu); |
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| 267 | } |
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| 268 | //!@} |
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| 269 | }; |
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[529] | 270 | UIREGISTER ( egiw ); |
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| 271 | SHAREDPTR ( egiw ); |
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[96] | 272 | |
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[488] | 273 | /*! \brief Dirichlet posterior density |
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[173] | 274 | |
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[488] | 275 | Continuous Dirichlet density of \f$n\f$-dimensional variable \f$x\f$ |
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| 276 | \f[ |
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| 277 | f(x|\beta) = \frac{\Gamma[\gamma]}{\prod_{i=1}^{n}\Gamma(\beta_i)} \prod_{i=1}^{n}x_i^{\beta_i-1} |
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| 278 | \f] |
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| 279 | where \f$\gamma=\sum_i \beta_i\f$. |
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| 280 | */ |
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| 281 | class eDirich: public eEF |
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| 282 | { |
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| 283 | protected: |
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| 284 | //!sufficient statistics |
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| 285 | vec beta; |
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| 286 | public: |
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| 287 | //!\name Constructors |
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| 288 | //!@{ |
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[270] | 289 | |
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[488] | 290 | eDirich () : eEF () {}; |
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| 291 | eDirich (const eDirich &D0) : eEF () {set_parameters (D0.beta);}; |
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| 292 | eDirich (const vec &beta0) {set_parameters (beta0);}; |
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| 293 | void set_parameters (const vec &beta0) { |
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| 294 | beta = beta0; |
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| 295 | dim = beta.length(); |
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| 296 | } |
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| 297 | //!@} |
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[270] | 298 | |
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[634] | 299 | //! using sampling procedure from wikipedia |
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[565] | 300 | vec sample() const { |
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[634] | 301 | vec y(beta.length()); |
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| 302 | for (int i=0; i<beta.length(); i++){ |
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| 303 | GamRNG.setup(beta(i),1); |
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| 304 | y(i)=GamRNG.sample(); |
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| 305 | } |
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| 306 | return y/sum(y); |
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[565] | 307 | } |
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| 308 | |
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[488] | 309 | vec mean() const {return beta / sum (beta);}; |
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[634] | 310 | vec variance() const {double gamma = sum (beta); return elem_mult (beta, (gamma-beta)) / (gamma*gamma* (gamma + 1));} |
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[488] | 311 | //! In this instance, val is ... |
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| 312 | double evallog_nn (const vec &val) const { |
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| 313 | double tmp; tmp = (beta - 1) * log (val); |
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| 314 | return tmp; |
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[565] | 315 | } |
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| 316 | |
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[488] | 317 | double lognc () const { |
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| 318 | double tmp; |
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| 319 | double gam = sum (beta); |
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| 320 | double lgb = 0.0; |
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| 321 | for (int i = 0;i < beta.length();i++) {lgb += lgamma (beta (i));} |
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| 322 | tmp = lgb - lgamma (gam); |
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| 323 | return tmp; |
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[565] | 324 | } |
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| 325 | |
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[488] | 326 | //!access function |
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| 327 | vec& _beta() {return beta;} |
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[634] | 328 | /*! configuration structure |
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| 329 | \code |
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| 330 | class = 'eDirich'; |
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| 331 | beta = []; //parametr beta |
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| 332 | \endcode |
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| 333 | */ |
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| 334 | void from_setting(const Setting &set){ |
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| 335 | epdf::from_setting(set); |
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| 336 | UI::get(beta,set, "beta", UI::compulsory); |
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| 337 | validate(); |
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| 338 | } |
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| 339 | void validate() { |
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| 340 | //check rv |
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| 341 | dim = beta.length(); |
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| 342 | } |
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[488] | 343 | }; |
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[634] | 344 | UIREGISTER(eDirich); |
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[96] | 345 | |
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[181] | 346 | //! \brief Estimator for Multinomial density |
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[488] | 347 | class multiBM : public BMEF |
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| 348 | { |
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| 349 | protected: |
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| 350 | //! Conjugate prior and posterior |
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| 351 | eDirich est; |
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| 352 | //! Pointer inside est to sufficient statistics |
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| 353 | vec β |
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| 354 | public: |
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| 355 | //!Default constructor |
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| 356 | multiBM () : BMEF (), est (), beta (est._beta()) { |
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| 357 | if (beta.length() > 0) {last_lognc = est.lognc();} |
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| 358 | else{last_lognc = 0.0;} |
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| 359 | } |
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| 360 | //!Copy constructor |
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| 361 | multiBM (const multiBM &B) : BMEF (B), est (B.est), beta (est._beta()) {} |
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| 362 | //! Sets sufficient statistics to match that of givefrom mB0 |
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| 363 | void set_statistics (const BM* mB0) {const multiBM* mB = dynamic_cast<const multiBM*> (mB0); beta = mB->beta;} |
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| 364 | void bayes (const vec &dt) { |
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| 365 | if (frg < 1.0) {beta *= frg;last_lognc = est.lognc();} |
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| 366 | beta += dt; |
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| 367 | if (evalll) {ll = est.lognc() - last_lognc;} |
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| 368 | } |
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| 369 | double logpred (const vec &dt) const { |
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| 370 | eDirich pred (est); |
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| 371 | vec &beta = pred._beta(); |
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[176] | 372 | |
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[488] | 373 | double lll; |
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| 374 | if (frg < 1.0) |
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| 375 | {beta *= frg;lll = pred.lognc();} |
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| 376 | else |
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| 377 | if (evalll) {lll = last_lognc;} |
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| 378 | else{lll = pred.lognc();} |
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[170] | 379 | |
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[488] | 380 | beta += dt; |
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| 381 | return pred.lognc() - lll; |
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| 382 | } |
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| 383 | void flatten (const BMEF* B) { |
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| 384 | const multiBM* E = dynamic_cast<const multiBM*> (B); |
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| 385 | // sum(beta) should be equal to sum(B.beta) |
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| 386 | const vec &Eb = E->beta;//const_cast<multiBM*> ( E )->_beta(); |
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| 387 | beta *= (sum (Eb) / sum (beta)); |
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| 388 | if (evalll) {last_lognc = est.lognc();} |
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| 389 | } |
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[536] | 390 | //! reimplemnetation of BM::posterior() |
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| 391 | const eDirich& posterior() const {return est;}; |
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| 392 | //! constructor function |
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[488] | 393 | void set_parameters (const vec &beta0) { |
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| 394 | est.set_parameters (beta0); |
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| 395 | if (evalll) {last_lognc = est.lognc();} |
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| 396 | } |
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| 397 | }; |
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[170] | 398 | |
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[488] | 399 | /*! |
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| 400 | \brief Gamma posterior density |
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[32] | 401 | |
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[488] | 402 | Multivariate Gamma density as product of independent univariate densities. |
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| 403 | \f[ |
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| 404 | f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) |
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| 405 | \f] |
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| 406 | */ |
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[32] | 407 | |
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[488] | 408 | class egamma : public eEF |
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| 409 | { |
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| 410 | protected: |
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| 411 | //! Vector \f$\alpha\f$ |
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| 412 | vec alpha; |
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| 413 | //! Vector \f$\beta\f$ |
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| 414 | vec beta; |
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| 415 | public : |
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| 416 | //! \name Constructors |
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| 417 | //!@{ |
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| 418 | egamma () : eEF (), alpha (0), beta (0) {}; |
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| 419 | egamma (const vec &a, const vec &b) {set_parameters (a, b);}; |
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| 420 | void set_parameters (const vec &a, const vec &b) {alpha = a, beta = b;dim = alpha.length();}; |
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| 421 | //!@} |
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[270] | 422 | |
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[488] | 423 | vec sample() const; |
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| 424 | double evallog (const vec &val) const; |
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| 425 | double lognc () const; |
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[536] | 426 | //! Returns pointer to internal alpha. Potentially dengerous: use with care! |
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[488] | 427 | vec& _alpha() {return alpha;} |
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[536] | 428 | //! Returns pointer to internal beta. Potentially dengerous: use with care! |
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[488] | 429 | vec& _beta() {return beta;} |
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| 430 | vec mean() const {return elem_div (alpha, beta);} |
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| 431 | vec variance() const {return elem_div (alpha, elem_mult (beta, beta)); } |
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[225] | 432 | |
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[621] | 433 | /*! Create Gamma density |
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| 434 | \f[ f(rv|rvc) = \Gamma(\alpha, \beta) \f] |
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| 435 | from structure |
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| 436 | \code |
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| 437 | class = 'egamma'; |
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| 438 | alpha = [...]; // vector of alpha |
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| 439 | beta = [...]; // vector of beta |
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| 440 | rv = RV({'name'}) // description of RV |
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| 441 | \endcode |
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| 442 | */ |
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[488] | 443 | void from_setting (const Setting &set) { |
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| 444 | epdf::from_setting (set); // reads rv |
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| 445 | UI::get (alpha, set, "alpha", UI::compulsory); |
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| 446 | UI::get (beta, set, "beta", UI::compulsory); |
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| 447 | validate(); |
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| 448 | } |
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| 449 | void validate() { |
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[620] | 450 | bdm_assert (alpha.length() == beta.length(), "parameters do not match"); |
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[488] | 451 | dim = alpha.length(); |
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| 452 | } |
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| 453 | }; |
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| 454 | UIREGISTER (egamma); |
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[529] | 455 | SHAREDPTR ( egamma ); |
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| 456 | |
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[488] | 457 | /*! |
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| 458 | \brief Inverse-Gamma posterior density |
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[225] | 459 | |
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[488] | 460 | Multivariate inverse-Gamma density as product of independent univariate densities. |
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| 461 | \f[ |
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| 462 | f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) |
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| 463 | \f] |
---|
[283] | 464 | |
---|
[488] | 465 | Vector \f$\beta\f$ has different meaning (in fact it is 1/beta as used in definition of iG) |
---|
[225] | 466 | |
---|
[488] | 467 | Inverse Gamma can be converted to Gamma using \f[ |
---|
| 468 | x\sim iG(a,b) => 1/x\sim G(a,1/b) |
---|
| 469 | \f] |
---|
| 470 | This relation is used in sampling. |
---|
| 471 | */ |
---|
[270] | 472 | |
---|
[488] | 473 | class eigamma : public egamma |
---|
| 474 | { |
---|
[294] | 475 | protected: |
---|
[488] | 476 | public : |
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| 477 | //! \name Constructors |
---|
| 478 | //! All constructors are inherited |
---|
| 479 | //!@{ |
---|
| 480 | //!@} |
---|
[32] | 481 | |
---|
[488] | 482 | vec sample() const {return 1.0 / egamma::sample();}; |
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| 483 | //! Returns poiter to alpha and beta. Potentially dangerous: use with care! |
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| 484 | vec mean() const {return elem_div (beta, alpha - 1);} |
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| 485 | vec variance() const {vec mea = mean(); return elem_div (elem_mult (mea, mea), alpha - 2);} |
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| 486 | }; |
---|
| 487 | /* |
---|
| 488 | //! Weighted mixture of epdfs with external owned components. |
---|
| 489 | class emix : public epdf { |
---|
| 490 | protected: |
---|
| 491 | int n; |
---|
| 492 | vec &w; |
---|
| 493 | Array<epdf*> Coms; |
---|
| 494 | public: |
---|
| 495 | //! Default constructor |
---|
| 496 | emix ( const RV &rv, vec &w0): epdf(rv), n(w0.length()), w(w0), Coms(n) {}; |
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| 497 | void set_parameters( int &i, double wi, epdf* ep){w(i)=wi;Coms(i)=ep;} |
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| 498 | vec mean(){vec pom; for(int i=0;i<n;i++){pom+=Coms(i)->mean()*w(i);} return pom;}; |
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| 499 | }; |
---|
| 500 | */ |
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| 501 | |
---|
[32] | 502 | //! Uniform distributed density on a rectangular support |
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| 503 | |
---|
[488] | 504 | class euni: public epdf |
---|
| 505 | { |
---|
| 506 | protected: |
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[32] | 507 | //! lower bound on support |
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[488] | 508 | vec low; |
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[32] | 509 | //! upper bound on support |
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[488] | 510 | vec high; |
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[32] | 511 | //! internal |
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[488] | 512 | vec distance; |
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[32] | 513 | //! normalizing coefficients |
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[488] | 514 | double nk; |
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[33] | 515 | //! cache of log( \c nk ) |
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[488] | 516 | double lnk; |
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| 517 | public: |
---|
| 518 | //! \name Constructors |
---|
| 519 | //!@{ |
---|
| 520 | euni () : epdf () {} |
---|
| 521 | euni (const vec &low0, const vec &high0) {set_parameters (low0, high0);} |
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| 522 | void set_parameters (const vec &low0, const vec &high0) { |
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| 523 | distance = high0 - low0; |
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| 524 | low = low0; |
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| 525 | high = high0; |
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| 526 | nk = prod (1.0 / distance); |
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| 527 | lnk = log (nk); |
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| 528 | dim = low.length(); |
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| 529 | } |
---|
| 530 | //!@} |
---|
[270] | 531 | |
---|
[488] | 532 | double evallog (const vec &val) const { |
---|
| 533 | if (any (val < low) && any (val > high)) {return inf;} |
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| 534 | else return lnk; |
---|
| 535 | } |
---|
| 536 | vec sample() const { |
---|
| 537 | vec smp (dim); |
---|
[270] | 538 | #pragma omp critical |
---|
[488] | 539 | UniRNG.sample_vector (dim , smp); |
---|
| 540 | return low + elem_mult (distance, smp); |
---|
| 541 | } |
---|
| 542 | //! set values of \c low and \c high |
---|
| 543 | vec mean() const {return (high -low) / 2.0;} |
---|
| 544 | vec variance() const {return (pow (high, 2) + pow (low, 2) + elem_mult (high, low)) / 3.0;} |
---|
[621] | 545 | /*! Create Uniform density |
---|
| 546 | \f[ f(rv) = U(low,high) \f] |
---|
| 547 | from structure |
---|
| 548 | \code |
---|
| 549 | class = 'euni' |
---|
| 550 | high = [...]; // vector of upper bounds |
---|
| 551 | low = [...]; // vector of lower bounds |
---|
| 552 | rv = RV({'name'}); // description of RV |
---|
| 553 | \endcode |
---|
| 554 | */ |
---|
[488] | 555 | void from_setting (const Setting &set) { |
---|
| 556 | epdf::from_setting (set); // reads rv and rvc |
---|
[471] | 557 | |
---|
[488] | 558 | UI::get (high, set, "high", UI::compulsory); |
---|
| 559 | UI::get (low, set, "low", UI::compulsory); |
---|
[612] | 560 | set_parameters(low,high); |
---|
| 561 | validate(); |
---|
[488] | 562 | } |
---|
[612] | 563 | void validate() { |
---|
| 564 | bdm_assert(high.length()==low.length(), "Incompatible high and low vectors"); |
---|
| 565 | dim = high.length(); |
---|
[620] | 566 | bdm_assert (min (distance) > 0.0, "bad support"); |
---|
[612] | 567 | } |
---|
[488] | 568 | }; |
---|
[612] | 569 | UIREGISTER(euni); |
---|
[32] | 570 | |
---|
[488] | 571 | /*! |
---|
| 572 | \brief Normal distributed linear function with linear function of mean value; |
---|
[32] | 573 | |
---|
[536] | 574 | Mean value \f$ \mu=A*\mbox{rvc}+\mu_0 \f$. |
---|
[488] | 575 | */ |
---|
| 576 | template < class sq_T, template <typename> class TEpdf = enorm > |
---|
| 577 | class mlnorm : public mpdf_internal< TEpdf<sq_T> > |
---|
| 578 | { |
---|
| 579 | protected: |
---|
| 580 | //! Internal epdf that arise by conditioning on \c rvc |
---|
| 581 | mat A; |
---|
[536] | 582 | //! Constant additive term |
---|
[488] | 583 | vec mu_const; |
---|
[487] | 584 | // vec& _mu; //cached epdf.mu; !!!!!! WHY NOT? |
---|
[488] | 585 | public: |
---|
| 586 | //! \name Constructors |
---|
| 587 | //!@{ |
---|
| 588 | mlnorm() : mpdf_internal< TEpdf<sq_T> >() {}; |
---|
| 589 | mlnorm (const mat &A, const vec &mu0, const sq_T &R) : mpdf_internal< TEpdf<sq_T> >() { |
---|
| 590 | set_parameters (A, mu0, R); |
---|
| 591 | } |
---|
[461] | 592 | |
---|
[488] | 593 | //! Set \c A and \c R |
---|
[620] | 594 | void set_parameters (const mat &A0, const vec &mu0, const sq_T &R0) { |
---|
[488] | 595 | this->iepdf.set_parameters (zeros (A0.rows()), R0); |
---|
| 596 | A = A0; |
---|
| 597 | mu_const = mu0; |
---|
| 598 | this->dimc = A0.cols(); |
---|
| 599 | } |
---|
| 600 | //!@} |
---|
| 601 | //! Set value of \c rvc . Result of this operation is stored in \c epdf use function \c _ep to access it. |
---|
| 602 | void condition (const vec &cond) { |
---|
| 603 | this->iepdf._mu() = A * cond + mu_const; |
---|
[487] | 604 | //R is already assigned; |
---|
[488] | 605 | } |
---|
[198] | 606 | |
---|
[488] | 607 | //!access function |
---|
[604] | 608 | const vec& _mu_const() const {return mu_const;} |
---|
[488] | 609 | //!access function |
---|
[604] | 610 | const mat& _A() const {return A;} |
---|
[488] | 611 | //!access function |
---|
[604] | 612 | mat _R() const { return this->iepdf._R().to_mat(); } |
---|
[471] | 613 | |
---|
[536] | 614 | //! Debug stream |
---|
[488] | 615 | template<typename sq_M> |
---|
| 616 | friend std::ostream &operator<< (std::ostream &os, mlnorm<sq_M, enorm> &ml); |
---|
[8] | 617 | |
---|
[621] | 618 | /*! Create Normal density with linear function of mean value |
---|
| 619 | \f[ f(rv|rvc) = N(A*rvc+const, R) \f] |
---|
| 620 | from structure |
---|
| 621 | \code |
---|
| 622 | class = 'mlnorm<ldmat>', (OR) 'mlnorm<chmat>', (OR) 'mlnorm<fsqmat>'; |
---|
| 623 | A = []; // matrix or vector of appropriate dimension |
---|
| 624 | const = []; // vector of constant term |
---|
| 625 | R = []; // square matrix of appropriate dimension |
---|
| 626 | \endcode |
---|
| 627 | */ |
---|
[488] | 628 | void from_setting (const Setting &set) { |
---|
| 629 | mpdf::from_setting (set); |
---|
| 630 | |
---|
| 631 | UI::get (A, set, "A", UI::compulsory); |
---|
| 632 | UI::get (mu_const, set, "const", UI::compulsory); |
---|
| 633 | mat R0; |
---|
| 634 | UI::get (R0, set, "R", UI::compulsory); |
---|
| 635 | set_parameters (A, mu_const, R0); |
---|
[620] | 636 | validate(); |
---|
[488] | 637 | }; |
---|
[620] | 638 | void validate() { |
---|
| 639 | bdm_assert (A.rows() == mu_const.length(), "mlnorm: A vs. mu mismatch"); |
---|
| 640 | bdm_assert (A.rows() == _R().rows(), "mlnorm: A vs. R mismatch"); |
---|
| 641 | |
---|
| 642 | } |
---|
[488] | 643 | }; |
---|
[535] | 644 | UIREGISTER2 (mlnorm,ldmat); |
---|
[529] | 645 | SHAREDPTR2 ( mlnorm, ldmat ); |
---|
[535] | 646 | UIREGISTER2 (mlnorm,fsqmat); |
---|
[529] | 647 | SHAREDPTR2 ( mlnorm, fsqmat ); |
---|
[535] | 648 | UIREGISTER2 (mlnorm, chmat); |
---|
[529] | 649 | SHAREDPTR2 ( mlnorm, chmat ); |
---|
[488] | 650 | |
---|
[280] | 651 | //! Mpdf with general function for mean value |
---|
[488] | 652 | template<class sq_T> |
---|
| 653 | class mgnorm : public mpdf_internal< enorm< sq_T > > |
---|
| 654 | { |
---|
[527] | 655 | private: |
---|
[487] | 656 | // vec μ WHY NOT? |
---|
[527] | 657 | shared_ptr<fnc> g; |
---|
| 658 | |
---|
[488] | 659 | public: |
---|
| 660 | //!default constructor |
---|
| 661 | mgnorm() : mpdf_internal<enorm<sq_T> >() { } |
---|
| 662 | //!set mean function |
---|
[527] | 663 | inline void set_parameters (const shared_ptr<fnc> &g0, const sq_T &R0); |
---|
[488] | 664 | inline void condition (const vec &cond); |
---|
[357] | 665 | |
---|
| 666 | |
---|
[621] | 667 | /*! Create Normal density with given function of mean value |
---|
| 668 | \f[ f(rv|rvc) = N( g(rvc), R) \f] |
---|
| 669 | from structure |
---|
[488] | 670 | \code |
---|
[621] | 671 | class = 'mgnorm'; |
---|
| 672 | g.class = 'fnc'; // function for mean value evolution |
---|
| 673 | g._fields_of_fnc = ...; |
---|
[357] | 674 | |
---|
[621] | 675 | R = [1, 0; // covariance matrix |
---|
| 676 | 0, 1]; |
---|
| 677 | --OR -- |
---|
| 678 | dR = [1, 1]; // diagonal of cavariance matrix |
---|
[357] | 679 | |
---|
[621] | 680 | rv = RV({'name'}) // description of RV |
---|
| 681 | rvc = RV({'name'}) // description of RV in condition |
---|
[488] | 682 | \endcode |
---|
| 683 | */ |
---|
[357] | 684 | |
---|
[488] | 685 | void from_setting (const Setting &set) { |
---|
[621] | 686 | mpdf::from_setting(set); |
---|
[527] | 687 | shared_ptr<fnc> g = UI::build<fnc> (set, "g", UI::compulsory); |
---|
[357] | 688 | |
---|
[488] | 689 | mat R; |
---|
| 690 | vec dR; |
---|
| 691 | if (UI::get (dR, set, "dR")) |
---|
| 692 | R = diag (dR); |
---|
| 693 | else |
---|
| 694 | UI::get (R, set, "R", UI::compulsory); |
---|
[280] | 695 | |
---|
[488] | 696 | set_parameters (g, R); |
---|
[621] | 697 | validate(); |
---|
[488] | 698 | } |
---|
[621] | 699 | void validate() { |
---|
| 700 | bdm_assert(g->dimension()==this->dimension(),"incompatible function"); |
---|
| 701 | } |
---|
[488] | 702 | }; |
---|
[357] | 703 | |
---|
[535] | 704 | UIREGISTER2 (mgnorm, chmat); |
---|
[529] | 705 | SHAREDPTR2 ( mgnorm, chmat ); |
---|
[357] | 706 | |
---|
[262] | 707 | |
---|
[488] | 708 | /*! (Approximate) Student t density with linear function of mean value |
---|
[262] | 709 | |
---|
[488] | 710 | The internal epdf of this class is of the type of a Gaussian (enorm). |
---|
| 711 | However, each conditioning is trying to assure the best possible approximation by taking into account the zeta function. See [] for reference. |
---|
[270] | 712 | |
---|
[488] | 713 | Perhaps a moment-matching technique? |
---|
| 714 | */ |
---|
| 715 | class mlstudent : public mlnorm<ldmat, enorm> |
---|
| 716 | { |
---|
| 717 | protected: |
---|
[536] | 718 | //! Variable \f$ \Lambda \f$ from theory |
---|
[488] | 719 | ldmat Lambda; |
---|
[536] | 720 | //! Reference to variable \f$ R \f$ |
---|
[488] | 721 | ldmat &_R; |
---|
[536] | 722 | //! Variable \f$ R_e \f$ |
---|
[488] | 723 | ldmat Re; |
---|
| 724 | public: |
---|
| 725 | mlstudent () : mlnorm<ldmat, enorm> (), |
---|
| 726 | Lambda (), _R (iepdf._R()) {} |
---|
[536] | 727 | //! constructor function |
---|
[488] | 728 | void set_parameters (const mat &A0, const vec &mu0, const ldmat &R0, const ldmat& Lambda0) { |
---|
[576] | 729 | iepdf.set_parameters (mu0, R0);// was Lambda, why? |
---|
[488] | 730 | A = A0; |
---|
| 731 | mu_const = mu0; |
---|
| 732 | Re = R0; |
---|
| 733 | Lambda = Lambda0; |
---|
| 734 | } |
---|
| 735 | void condition (const vec &cond) { |
---|
| 736 | iepdf._mu() = A * cond + mu_const; |
---|
| 737 | double zeta; |
---|
| 738 | //ugly hack! |
---|
| 739 | if ( (cond.length() + 1) == Lambda.rows()) { |
---|
| 740 | zeta = Lambda.invqform (concat (cond, vec_1 (1.0))); |
---|
| 741 | } else { |
---|
| 742 | zeta = Lambda.invqform (cond); |
---|
[294] | 743 | } |
---|
[488] | 744 | _R = Re; |
---|
| 745 | _R *= (1 + zeta);// / ( nu ); << nu is in Re!!!!!! |
---|
| 746 | }; |
---|
[294] | 747 | |
---|
[613] | 748 | void validate() { |
---|
[620] | 749 | bdm_assert (A.rows() == mu_const.length(), "mlstudent: A vs. mu mismatch"); |
---|
| 750 | bdm_assert (_R.rows() == A.rows(), "mlstudent: A vs. R mismatch"); |
---|
[613] | 751 | |
---|
| 752 | } |
---|
[488] | 753 | }; |
---|
| 754 | /*! |
---|
| 755 | \brief Gamma random walk |
---|
[198] | 756 | |
---|
[488] | 757 | Mean value, \f$\mu\f$, of this density is given by \c rvc . |
---|
| 758 | Standard deviation of the random walk is proportional to one \f$k\f$-th the mean. |
---|
| 759 | This is achieved by setting \f$\alpha=k\f$ and \f$\beta=k/\mu\f$. |
---|
[32] | 760 | |
---|
[488] | 761 | The standard deviation of the walk is then: \f$\mu/\sqrt(k)\f$. |
---|
| 762 | */ |
---|
| 763 | class mgamma : public mpdf_internal<egamma> |
---|
| 764 | { |
---|
| 765 | protected: |
---|
[461] | 766 | |
---|
[488] | 767 | //! Constant \f$k\f$ |
---|
| 768 | double k; |
---|
[461] | 769 | |
---|
[488] | 770 | //! cache of iepdf.beta |
---|
| 771 | vec &_beta; |
---|
[32] | 772 | |
---|
[488] | 773 | public: |
---|
| 774 | //! Constructor |
---|
| 775 | mgamma() : mpdf_internal<egamma>(), k (0), |
---|
| 776 | _beta (iepdf._beta()) { |
---|
| 777 | } |
---|
[461] | 778 | |
---|
[488] | 779 | //! Set value of \c k |
---|
| 780 | void set_parameters (double k, const vec &beta0); |
---|
[461] | 781 | |
---|
[488] | 782 | void condition (const vec &val) {_beta = k / val;}; |
---|
[621] | 783 | /*! Create Gamma density with conditional mean value |
---|
| 784 | \f[ f(rv|rvc) = \Gamma(k, k/rvc) \f] |
---|
| 785 | from structure |
---|
| 786 | \code |
---|
| 787 | class = 'mgamma'; |
---|
| 788 | beta = [...]; // vector of initial alpha |
---|
| 789 | k = 1.1; // multiplicative constant k |
---|
| 790 | rv = RV({'name'}) // description of RV |
---|
| 791 | rvc = RV({'name'}) // description of RV in condition |
---|
| 792 | \endcode |
---|
| 793 | */ |
---|
[488] | 794 | void from_setting (const Setting &set) { |
---|
| 795 | mpdf::from_setting (set); // reads rv and rvc |
---|
| 796 | vec betatmp; // ugly but necessary |
---|
| 797 | UI::get (betatmp, set, "beta", UI::compulsory); |
---|
| 798 | UI::get (k, set, "k", UI::compulsory); |
---|
| 799 | set_parameters (k, betatmp); |
---|
| 800 | } |
---|
| 801 | }; |
---|
| 802 | UIREGISTER (mgamma); |
---|
[529] | 803 | SHAREDPTR (mgamma); |
---|
[32] | 804 | |
---|
[488] | 805 | /*! |
---|
| 806 | \brief Inverse-Gamma random walk |
---|
[225] | 807 | |
---|
[488] | 808 | Mean value, \f$ \mu \f$, of this density is given by \c rvc . |
---|
| 809 | Standard deviation of the random walk is proportional to one \f$ k \f$-th the mean. |
---|
| 810 | This is achieved by setting \f$ \alpha=\mu/k^2+2 \f$ and \f$ \beta=\mu(\alpha-1)\f$. |
---|
[461] | 811 | |
---|
[488] | 812 | The standard deviation of the walk is then: \f$ \mu/\sqrt(k)\f$. |
---|
| 813 | */ |
---|
| 814 | class migamma : public mpdf_internal<eigamma> |
---|
| 815 | { |
---|
| 816 | protected: |
---|
| 817 | //! Constant \f$k\f$ |
---|
| 818 | double k; |
---|
[461] | 819 | |
---|
[488] | 820 | //! cache of iepdf.alpha |
---|
| 821 | vec &_alpha; |
---|
[225] | 822 | |
---|
[488] | 823 | //! cache of iepdf.beta |
---|
| 824 | vec &_beta; |
---|
[461] | 825 | |
---|
[488] | 826 | public: |
---|
| 827 | //! \name Constructors |
---|
| 828 | //!@{ |
---|
| 829 | migamma() : mpdf_internal<eigamma>(), |
---|
| 830 | k (0), |
---|
| 831 | _alpha (iepdf._alpha()), |
---|
| 832 | _beta (iepdf._beta()) { |
---|
| 833 | } |
---|
[225] | 834 | |
---|
[488] | 835 | migamma (const migamma &m) : mpdf_internal<eigamma>(), |
---|
| 836 | k (0), |
---|
| 837 | _alpha (iepdf._alpha()), |
---|
| 838 | _beta (iepdf._beta()) { |
---|
| 839 | } |
---|
| 840 | //!@} |
---|
[225] | 841 | |
---|
[488] | 842 | //! Set value of \c k |
---|
| 843 | void set_parameters (int len, double k0) { |
---|
| 844 | k = k0; |
---|
| 845 | iepdf.set_parameters ( (1.0 / (k*k) + 2.0) *ones (len) /*alpha*/, ones (len) /*beta*/); |
---|
| 846 | dimc = dimension(); |
---|
| 847 | }; |
---|
| 848 | void condition (const vec &val) { |
---|
| 849 | _beta = elem_mult (val, (_alpha - 1.0)); |
---|
| 850 | }; |
---|
| 851 | }; |
---|
[357] | 852 | |
---|
[60] | 853 | |
---|
[488] | 854 | /*! |
---|
| 855 | \brief Gamma random walk around a fixed point |
---|
[60] | 856 | |
---|
[488] | 857 | Mean value, \f$\mu\f$, of this density is given by a geometric combination of \c rvc and given fixed point, \f$p\f$. \f$l\f$ is the coefficient of the geometric combimation |
---|
| 858 | \f[ \mu = \mu_{t-1} ^{l} p^{1-l}\f] |
---|
[60] | 859 | |
---|
[488] | 860 | Standard deviation of the random walk is proportional to one \f$k\f$-th the mean. |
---|
| 861 | This is achieved by setting \f$\alpha=k\f$ and \f$\beta=k/\mu\f$. |
---|
[294] | 862 | |
---|
[488] | 863 | The standard deviation of the walk is then: \f$\mu/\sqrt(k)\f$. |
---|
| 864 | */ |
---|
| 865 | class mgamma_fix : public mgamma |
---|
| 866 | { |
---|
| 867 | protected: |
---|
| 868 | //! parameter l |
---|
| 869 | double l; |
---|
| 870 | //! reference vector |
---|
| 871 | vec refl; |
---|
| 872 | public: |
---|
| 873 | //! Constructor |
---|
| 874 | mgamma_fix () : mgamma (), refl () {}; |
---|
| 875 | //! Set value of \c k |
---|
| 876 | void set_parameters (double k0 , vec ref0, double l0) { |
---|
| 877 | mgamma::set_parameters (k0, ref0); |
---|
| 878 | refl = pow (ref0, 1.0 - l0);l = l0; |
---|
| 879 | dimc = dimension(); |
---|
| 880 | }; |
---|
[60] | 881 | |
---|
[488] | 882 | void condition (const vec &val) {vec mean = elem_mult (refl, pow (val, l)); _beta = k / mean;}; |
---|
| 883 | }; |
---|
[60] | 884 | |
---|
[225] | 885 | |
---|
[488] | 886 | /*! |
---|
| 887 | \brief Inverse-Gamma random walk around a fixed point |
---|
[225] | 888 | |
---|
[488] | 889 | Mean value, \f$\mu\f$, of this density is given by a geometric combination of \c rvc and given fixed point, \f$p\f$. \f$l\f$ is the coefficient of the geometric combimation |
---|
| 890 | \f[ \mu = \mu_{t-1} ^{l} p^{1-l}\f] |
---|
[225] | 891 | |
---|
[488] | 892 | ==== Check == vv = |
---|
| 893 | Standard deviation of the random walk is proportional to one \f$k\f$-th the mean. |
---|
| 894 | This is achieved by setting \f$\alpha=k\f$ and \f$\beta=k/\mu\f$. |
---|
[225] | 895 | |
---|
[488] | 896 | The standard deviation of the walk is then: \f$\mu/\sqrt(k)\f$. |
---|
| 897 | */ |
---|
| 898 | class migamma_ref : public migamma |
---|
| 899 | { |
---|
| 900 | protected: |
---|
| 901 | //! parameter l |
---|
| 902 | double l; |
---|
| 903 | //! reference vector |
---|
| 904 | vec refl; |
---|
| 905 | public: |
---|
| 906 | //! Constructor |
---|
| 907 | migamma_ref () : migamma (), refl () {}; |
---|
| 908 | //! Set value of \c k |
---|
| 909 | void set_parameters (double k0 , vec ref0, double l0) { |
---|
| 910 | migamma::set_parameters (ref0.length(), k0); |
---|
| 911 | refl = pow (ref0, 1.0 - l0); |
---|
| 912 | l = l0; |
---|
| 913 | dimc = dimension(); |
---|
| 914 | }; |
---|
[357] | 915 | |
---|
[488] | 916 | void condition (const vec &val) { |
---|
| 917 | vec mean = elem_mult (refl, pow (val, l)); |
---|
| 918 | migamma::condition (mean); |
---|
| 919 | }; |
---|
[357] | 920 | |
---|
| 921 | |
---|
[621] | 922 | /*! Create inverse-Gamma density with conditional mean value |
---|
| 923 | \f[ f(rv|rvc) = i\Gamma(k, k/(rvc^l \circ ref^{(1-l)}) \f] |
---|
| 924 | from structure |
---|
[488] | 925 | \code |
---|
[621] | 926 | class = 'migamma_ref'; |
---|
| 927 | ref = [1e-5; 1e-5; 1e-2 1e-3]; // reference vector |
---|
| 928 | l = 0.999; // constant l |
---|
| 929 | k = 0.1; // constant k |
---|
| 930 | rv = RV({'name'}) // description of RV |
---|
| 931 | rvc = RV({'name'}) // description of RV in condition |
---|
[488] | 932 | \endcode |
---|
| 933 | */ |
---|
| 934 | void from_setting (const Setting &set); |
---|
[225] | 935 | |
---|
[488] | 936 | // TODO dodelat void to_setting( Setting &set ) const; |
---|
| 937 | }; |
---|
[357] | 938 | |
---|
| 939 | |
---|
[488] | 940 | UIREGISTER (migamma_ref); |
---|
[529] | 941 | SHAREDPTR (migamma_ref); |
---|
[294] | 942 | |
---|
[488] | 943 | /*! Log-Normal probability density |
---|
| 944 | only allow diagonal covariances! |
---|
[294] | 945 | |
---|
[488] | 946 | Density of the form \f$ \log(x)\sim \mathcal{N}(\mu,\sigma^2) \f$ , i.e. |
---|
| 947 | \f[ |
---|
| 948 | x \sim \frac{1}{x\sigma\sqrt{2\pi}}\exp{-\frac{1}{2\sigma^2}(\log(x)-\mu)} |
---|
| 949 | \f] |
---|
[294] | 950 | |
---|
[621] | 951 | Function from_setting loads mu and R in the same way as it does for enorm<>! |
---|
[488] | 952 | */ |
---|
| 953 | class elognorm: public enorm<ldmat> |
---|
| 954 | { |
---|
| 955 | public: |
---|
| 956 | vec sample() const {return exp (enorm<ldmat>::sample());}; |
---|
| 957 | vec mean() const {vec var = enorm<ldmat>::variance();return exp (mu - 0.5*var);}; |
---|
[285] | 958 | |
---|
[488] | 959 | }; |
---|
[285] | 960 | |
---|
[488] | 961 | /*! |
---|
| 962 | \brief Log-Normal random walk |
---|
[285] | 963 | |
---|
[488] | 964 | Mean value, \f$\mu\f$, is... |
---|
[285] | 965 | |
---|
[488] | 966 | */ |
---|
| 967 | class mlognorm : public mpdf_internal<elognorm> |
---|
| 968 | { |
---|
| 969 | protected: |
---|
| 970 | //! parameter 1/2*sigma^2 |
---|
| 971 | double sig2; |
---|
[461] | 972 | |
---|
[488] | 973 | //! access |
---|
| 974 | vec μ |
---|
| 975 | public: |
---|
| 976 | //! Constructor |
---|
| 977 | mlognorm() : mpdf_internal<elognorm>(), |
---|
| 978 | sig2 (0), |
---|
| 979 | mu (iepdf._mu()) { |
---|
| 980 | } |
---|
[285] | 981 | |
---|
[488] | 982 | //! Set value of \c k |
---|
| 983 | void set_parameters (int size, double k) { |
---|
| 984 | sig2 = 0.5 * log (k * k + 1); |
---|
| 985 | iepdf.set_parameters (zeros (size), 2*sig2*eye (size)); |
---|
[285] | 986 | |
---|
[488] | 987 | dimc = size; |
---|
| 988 | }; |
---|
[357] | 989 | |
---|
[488] | 990 | void condition (const vec &val) { |
---|
| 991 | mu = log (val) - sig2;//elem_mult ( refl,pow ( val,l ) ); |
---|
| 992 | }; |
---|
[357] | 993 | |
---|
[621] | 994 | /*! Create logNormal random Walk |
---|
| 995 | \f[ f(rv|rvc) = log\mathcal{N}( \log(rvc)-0.5\log(k^2+1), k I) \f] |
---|
| 996 | from structure |
---|
[488] | 997 | \code |
---|
[621] | 998 | class = 'mlognorm'; |
---|
| 999 | k = 0.1; // "variance" k |
---|
| 1000 | mu0 = 0.1; // Initial value of mean |
---|
| 1001 | rv = RV({'name'}) // description of RV |
---|
| 1002 | rvc = RV({'name'}) // description of RV in condition |
---|
[488] | 1003 | \endcode |
---|
[621] | 1004 | */ |
---|
[488] | 1005 | void from_setting (const Setting &set); |
---|
[357] | 1006 | |
---|
[488] | 1007 | // TODO dodelat void to_setting( Setting &set ) const; |
---|
[285] | 1008 | |
---|
[488] | 1009 | }; |
---|
[294] | 1010 | |
---|
[488] | 1011 | UIREGISTER (mlognorm); |
---|
[529] | 1012 | SHAREDPTR (mlognorm); |
---|
[294] | 1013 | |
---|
[488] | 1014 | /*! inverse Wishart density defined on Choleski decomposition |
---|
| 1015 | |
---|
| 1016 | */ |
---|
| 1017 | class eWishartCh : public epdf |
---|
| 1018 | { |
---|
| 1019 | protected: |
---|
| 1020 | //! Upper-Triagle of Choleski decomposition of \f$ \Psi \f$ |
---|
| 1021 | chmat Y; |
---|
| 1022 | //! dimension of matrix \f$ \Psi \f$ |
---|
| 1023 | int p; |
---|
| 1024 | //! degrees of freedom \f$ \nu \f$ |
---|
| 1025 | double delta; |
---|
| 1026 | public: |
---|
[536] | 1027 | //! Set internal structures |
---|
[488] | 1028 | void set_parameters (const mat &Y0, const double delta0) {Y = chmat (Y0);delta = delta0; p = Y.rows(); dim = p * p; } |
---|
[536] | 1029 | //! Sample matrix argument |
---|
[488] | 1030 | mat sample_mat() const { |
---|
| 1031 | mat X = zeros (p, p); |
---|
| 1032 | |
---|
| 1033 | //sample diagonal |
---|
| 1034 | for (int i = 0;i < p;i++) { |
---|
| 1035 | GamRNG.setup (0.5* (delta - i) , 0.5); // no +1 !! index if from 0 |
---|
[294] | 1036 | #pragma omp critical |
---|
[488] | 1037 | X (i, i) = sqrt (GamRNG()); |
---|
| 1038 | } |
---|
| 1039 | //do the rest |
---|
| 1040 | for (int i = 0;i < p;i++) { |
---|
| 1041 | for (int j = i + 1;j < p;j++) { |
---|
[294] | 1042 | #pragma omp critical |
---|
[488] | 1043 | X (i, j) = NorRNG.sample(); |
---|
[294] | 1044 | } |
---|
| 1045 | } |
---|
[488] | 1046 | return X*Y._Ch();// return upper triangular part of the decomposition |
---|
| 1047 | } |
---|
| 1048 | vec sample () const { |
---|
| 1049 | return vec (sample_mat()._data(), p*p); |
---|
| 1050 | } |
---|
| 1051 | //! fast access function y0 will be copied into Y.Ch. |
---|
| 1052 | void setY (const mat &Ch0) {copy_vector (dim, Ch0._data(), Y._Ch()._data());} |
---|
| 1053 | //! fast access function y0 will be copied into Y.Ch. |
---|
| 1054 | void _setY (const vec &ch0) {copy_vector (dim, ch0._data(), Y._Ch()._data()); } |
---|
| 1055 | //! access function |
---|
| 1056 | const chmat& getY() const {return Y;} |
---|
| 1057 | }; |
---|
[294] | 1058 | |
---|
[536] | 1059 | //! Inverse Wishart on Choleski decomposition |
---|
| 1060 | /*! Being computed by conversion from `standard' Wishart |
---|
| 1061 | */ |
---|
[488] | 1062 | class eiWishartCh: public epdf |
---|
| 1063 | { |
---|
| 1064 | protected: |
---|
[536] | 1065 | //! Internal instance of Wishart density |
---|
[488] | 1066 | eWishartCh W; |
---|
[536] | 1067 | //! size of Ch |
---|
[488] | 1068 | int p; |
---|
[536] | 1069 | //! parameter delta |
---|
[488] | 1070 | double delta; |
---|
| 1071 | public: |
---|
[536] | 1072 | //! constructor function |
---|
[488] | 1073 | void set_parameters (const mat &Y0, const double delta0) { |
---|
| 1074 | delta = delta0; |
---|
| 1075 | W.set_parameters (inv (Y0), delta0); |
---|
| 1076 | dim = W.dimension(); p = Y0.rows(); |
---|
| 1077 | } |
---|
| 1078 | vec sample() const {mat iCh; iCh = inv (W.sample_mat()); return vec (iCh._data(), dim);} |
---|
[536] | 1079 | //! access function |
---|
[488] | 1080 | void _setY (const vec &y0) { |
---|
| 1081 | mat Ch (p, p); |
---|
| 1082 | mat iCh (p, p); |
---|
| 1083 | copy_vector (dim, y0._data(), Ch._data()); |
---|
| 1084 | |
---|
| 1085 | iCh = inv (Ch); |
---|
| 1086 | W.setY (iCh); |
---|
| 1087 | } |
---|
| 1088 | virtual double evallog (const vec &val) const { |
---|
| 1089 | chmat X (p); |
---|
| 1090 | const chmat& Y = W.getY(); |
---|
| 1091 | |
---|
| 1092 | copy_vector (p*p, val._data(), X._Ch()._data()); |
---|
| 1093 | chmat iX (p);X.inv (iX); |
---|
| 1094 | // compute |
---|
[294] | 1095 | // \frac{ |\Psi|^{m/2}|X|^{-(m+p+1)/2}e^{-tr(\Psi X^{-1})/2} }{ 2^{mp/2}\Gamma_p(m/2)}, |
---|
[488] | 1096 | mat M = Y.to_mat() * iX.to_mat(); |
---|
[285] | 1097 | |
---|
[488] | 1098 | double log1 = 0.5 * p * (2 * Y.logdet()) - 0.5 * (delta + p + 1) * (2 * X.logdet()) - 0.5 * trace (M); |
---|
| 1099 | //Fixme! Multivariate gamma omitted!! it is ok for sampling, but not otherwise!! |
---|
[461] | 1100 | |
---|
[488] | 1101 | /* if (0) { |
---|
| 1102 | mat XX=X.to_mat(); |
---|
| 1103 | mat YY=Y.to_mat(); |
---|
[461] | 1104 | |
---|
[488] | 1105 | double log2 = 0.5*p*log(det(YY))-0.5*(delta+p+1)*log(det(XX))-0.5*trace(YY*inv(XX)); |
---|
| 1106 | cout << log1 << "," << log2 << endl; |
---|
| 1107 | }*/ |
---|
| 1108 | return log1; |
---|
| 1109 | }; |
---|
[285] | 1110 | |
---|
[488] | 1111 | }; |
---|
| 1112 | |
---|
[536] | 1113 | //! Random Walk on inverse Wishart |
---|
[510] | 1114 | class rwiWishartCh : public mpdf_internal<eiWishartCh> |
---|
[488] | 1115 | { |
---|
| 1116 | protected: |
---|
| 1117 | //!square root of \f$ \nu-p-1 \f$ - needed for computation of \f$ \Psi \f$ from conditions |
---|
| 1118 | double sqd; |
---|
[536] | 1119 | //!reference point for diagonal |
---|
[488] | 1120 | vec refl; |
---|
[536] | 1121 | //! power of the reference |
---|
[488] | 1122 | double l; |
---|
[536] | 1123 | //! dimension |
---|
[488] | 1124 | int p; |
---|
| 1125 | |
---|
| 1126 | public: |
---|
[510] | 1127 | rwiWishartCh() : sqd (0), l (0), p (0) {} |
---|
[536] | 1128 | //! constructor function |
---|
[488] | 1129 | void set_parameters (int p0, double k, vec ref0, double l0) { |
---|
| 1130 | p = p0; |
---|
| 1131 | double delta = 2 / (k * k) + p + 3; |
---|
| 1132 | sqd = sqrt (delta - p - 1); |
---|
| 1133 | l = l0; |
---|
| 1134 | refl = pow (ref0, 1 - l); |
---|
| 1135 | |
---|
[510] | 1136 | iepdf.set_parameters (eye (p), delta); |
---|
| 1137 | dimc = iepdf.dimension(); |
---|
[488] | 1138 | } |
---|
| 1139 | void condition (const vec &c) { |
---|
| 1140 | vec z = c; |
---|
| 1141 | int ri = 0; |
---|
| 1142 | for (int i = 0;i < p*p;i += (p + 1)) {//trace diagonal element |
---|
| 1143 | z (i) = pow (z (i), l) * refl (ri); |
---|
| 1144 | ri++; |
---|
[294] | 1145 | } |
---|
[285] | 1146 | |
---|
[510] | 1147 | iepdf._setY (sqd*z); |
---|
[488] | 1148 | } |
---|
| 1149 | }; |
---|
| 1150 | |
---|
[32] | 1151 | //! Switch between various resampling methods. |
---|
[488] | 1152 | enum RESAMPLING_METHOD { MULTINOMIAL = 0, STRATIFIED = 1, SYSTEMATIC = 3 }; |
---|
| 1153 | /*! |
---|
| 1154 | \brief Weighted empirical density |
---|
[32] | 1155 | |
---|
[488] | 1156 | Used e.g. in particle filters. |
---|
| 1157 | */ |
---|
| 1158 | class eEmp: public epdf |
---|
| 1159 | { |
---|
| 1160 | protected : |
---|
| 1161 | //! Number of particles |
---|
| 1162 | int n; |
---|
| 1163 | //! Sample weights \f$w\f$ |
---|
| 1164 | vec w; |
---|
| 1165 | //! Samples \f$x^{(i)}, i=1..n\f$ |
---|
| 1166 | Array<vec> samples; |
---|
| 1167 | public: |
---|
| 1168 | //! \name Constructors |
---|
| 1169 | //!@{ |
---|
| 1170 | eEmp () : epdf (), w (), samples () {}; |
---|
| 1171 | //! copy constructor |
---|
| 1172 | eEmp (const eEmp &e) : epdf (e), w (e.w), samples (e.samples) {}; |
---|
| 1173 | //!@} |
---|
[280] | 1174 | |
---|
[488] | 1175 | //! Set samples and weights |
---|
| 1176 | void set_statistics (const vec &w0, const epdf &pdf0); |
---|
| 1177 | //! Set samples and weights |
---|
| 1178 | void set_statistics (const epdf &pdf0 , int n) {set_statistics (ones (n) / n, pdf0);}; |
---|
| 1179 | //! Set sample |
---|
| 1180 | void set_samples (const epdf* pdf0); |
---|
| 1181 | //! Set sample |
---|
| 1182 | void set_parameters (int n0, bool copy = true) {n = n0; w.set_size (n0, copy);samples.set_size (n0, copy);}; |
---|
[569] | 1183 | //! Set samples |
---|
| 1184 | void set_parameters (const Array<vec> &Av) { |
---|
[620] | 1185 | bdm_assert(Av.size()>0,"Empty samples"); |
---|
[569] | 1186 | n = Av.size(); |
---|
| 1187 | epdf::set_parameters(Av(0).length()); |
---|
| 1188 | w=1/n*ones(n); |
---|
| 1189 | samples=Av; |
---|
| 1190 | }; |
---|
[488] | 1191 | //! Potentially dangerous, use with care. |
---|
| 1192 | vec& _w() {return w;}; |
---|
| 1193 | //! Potentially dangerous, use with care. |
---|
| 1194 | const vec& _w() const {return w;}; |
---|
| 1195 | //! access function |
---|
| 1196 | Array<vec>& _samples() {return samples;}; |
---|
| 1197 | //! access function |
---|
| 1198 | const Array<vec>& _samples() const {return samples;}; |
---|
| 1199 | //! Function performs resampling, i.e. removal of low-weight samples and duplication of high-weight samples such that the new samples represent the same density. |
---|
| 1200 | ivec resample (RESAMPLING_METHOD method = SYSTEMATIC); |
---|
[565] | 1201 | |
---|
| 1202 | //! inherited operation : NOT implemented |
---|
| 1203 | vec sample() const { |
---|
| 1204 | bdm_error ("Not implemented"); |
---|
| 1205 | return vec(); |
---|
| 1206 | } |
---|
| 1207 | |
---|
| 1208 | //! inherited operation : NOT implemented |
---|
| 1209 | double evallog (const vec &val) const { |
---|
| 1210 | bdm_error ("Not implemented"); |
---|
| 1211 | return 0.0; |
---|
| 1212 | } |
---|
| 1213 | |
---|
[488] | 1214 | vec mean() const { |
---|
| 1215 | vec pom = zeros (dim); |
---|
| 1216 | for (int i = 0;i < n;i++) {pom += samples (i) * w (i);} |
---|
| 1217 | return pom; |
---|
| 1218 | } |
---|
| 1219 | vec variance() const { |
---|
| 1220 | vec pom = zeros (dim); |
---|
| 1221 | for (int i = 0;i < n;i++) {pom += pow (samples (i), 2) * w (i);} |
---|
| 1222 | return pom -pow (mean(), 2); |
---|
| 1223 | } |
---|
| 1224 | //! For this class, qbounds are minimum and maximum value of the population! |
---|
| 1225 | void qbounds (vec &lb, vec &ub, double perc = 0.95) const { |
---|
| 1226 | // lb in inf so than it will be pushed below; |
---|
| 1227 | lb.set_size (dim); |
---|
| 1228 | ub.set_size (dim); |
---|
| 1229 | lb = std::numeric_limits<double>::infinity(); |
---|
| 1230 | ub = -std::numeric_limits<double>::infinity(); |
---|
| 1231 | int j; |
---|
| 1232 | for (int i = 0;i < n;i++) { |
---|
| 1233 | for (j = 0;j < dim; j++) { |
---|
| 1234 | if (samples (i) (j) < lb (j)) {lb (j) = samples (i) (j);} |
---|
| 1235 | if (samples (i) (j) > ub (j)) {ub (j) = samples (i) (j);} |
---|
[294] | 1236 | } |
---|
| 1237 | } |
---|
[488] | 1238 | } |
---|
| 1239 | }; |
---|
[32] | 1240 | |
---|
| 1241 | |
---|
[8] | 1242 | //////////////////////// |
---|
| 1243 | |
---|
[488] | 1244 | template<class sq_T> |
---|
| 1245 | void enorm<sq_T>::set_parameters (const vec &mu0, const sq_T &R0) |
---|
| 1246 | { |
---|
[28] | 1247 | //Fixme test dimensions of mu0 and R0; |
---|
[488] | 1248 | mu = mu0; |
---|
| 1249 | R = R0; |
---|
| 1250 | validate(); |
---|
| 1251 | }; |
---|
[8] | 1252 | |
---|
[488] | 1253 | template<class sq_T> |
---|
| 1254 | void enorm<sq_T>::from_setting (const Setting &set) |
---|
| 1255 | { |
---|
| 1256 | epdf::from_setting (set); //reads rv |
---|
[384] | 1257 | |
---|
[488] | 1258 | UI::get (mu, set, "mu", UI::compulsory); |
---|
| 1259 | mat Rtmp;// necessary for conversion |
---|
| 1260 | UI::get (Rtmp, set, "R", UI::compulsory); |
---|
| 1261 | R = Rtmp; // conversion |
---|
| 1262 | validate(); |
---|
| 1263 | } |
---|
[8] | 1264 | |
---|
[488] | 1265 | template<class sq_T> |
---|
| 1266 | void enorm<sq_T>::dupdate (mat &v, double nu) |
---|
| 1267 | { |
---|
| 1268 | // |
---|
| 1269 | }; |
---|
| 1270 | |
---|
[178] | 1271 | // template<class sq_T> |
---|
| 1272 | // void enorm<sq_T>::tupdate ( double phi, mat &vbar, double nubar ) { |
---|
| 1273 | // // |
---|
| 1274 | // }; |
---|
[8] | 1275 | |
---|
[488] | 1276 | template<class sq_T> |
---|
| 1277 | vec enorm<sq_T>::sample() const |
---|
| 1278 | { |
---|
| 1279 | vec x (dim); |
---|
[270] | 1280 | #pragma omp critical |
---|
[488] | 1281 | NorRNG.sample_vector (dim, x); |
---|
| 1282 | vec smp = R.sqrt_mult (x); |
---|
[12] | 1283 | |
---|
[488] | 1284 | smp += mu; |
---|
| 1285 | return smp; |
---|
| 1286 | }; |
---|
[8] | 1287 | |
---|
[214] | 1288 | // template<class sq_T> |
---|
| 1289 | // double enorm<sq_T>::eval ( const vec &val ) const { |
---|
| 1290 | // double pdfl,e; |
---|
| 1291 | // pdfl = evallog ( val ); |
---|
| 1292 | // e = exp ( pdfl ); |
---|
| 1293 | // return e; |
---|
| 1294 | // }; |
---|
[8] | 1295 | |
---|
[488] | 1296 | template<class sq_T> |
---|
| 1297 | double enorm<sq_T>::evallog_nn (const vec &val) const |
---|
| 1298 | { |
---|
| 1299 | // 1.83787706640935 = log(2pi) |
---|
| 1300 | double tmp = -0.5 * (R.invqform (mu - val));// - lognc(); |
---|
| 1301 | return tmp; |
---|
| 1302 | }; |
---|
[28] | 1303 | |
---|
[488] | 1304 | template<class sq_T> |
---|
| 1305 | inline double enorm<sq_T>::lognc () const |
---|
| 1306 | { |
---|
| 1307 | // 1.83787706640935 = log(2pi) |
---|
| 1308 | double tmp = 0.5 * (R.cols() * 1.83787706640935 + R.logdet()); |
---|
| 1309 | return tmp; |
---|
| 1310 | }; |
---|
[28] | 1311 | |
---|
[8] | 1312 | |
---|
[192] | 1313 | // template<class sq_T> |
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| 1314 | // vec mlnorm<sq_T>::samplecond (const vec &cond, double &lik ) { |
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| 1315 | // this->condition ( cond ); |
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| 1316 | // vec smp = epdf.sample(); |
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| 1317 | // lik = epdf.eval ( smp ); |
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| 1318 | // return smp; |
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| 1319 | // } |
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[8] | 1320 | |
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[192] | 1321 | // template<class sq_T> |
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| 1322 | // mat mlnorm<sq_T>::samplecond (const vec &cond, vec &lik, int n ) { |
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| 1323 | // int i; |
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| 1324 | // int dim = rv.count(); |
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| 1325 | // mat Smp ( dim,n ); |
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| 1326 | // vec smp ( dim ); |
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| 1327 | // this->condition ( cond ); |
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[198] | 1328 | // |
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[192] | 1329 | // for ( i=0; i<n; i++ ) { |
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| 1330 | // smp = epdf.sample(); |
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| 1331 | // lik ( i ) = epdf.eval ( smp ); |
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| 1332 | // Smp.set_col ( i ,smp ); |
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| 1333 | // } |
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[198] | 1334 | // |
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[192] | 1335 | // return Smp; |
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| 1336 | // } |
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[28] | 1337 | |
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[8] | 1338 | |
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[488] | 1339 | template<class sq_T> |
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[504] | 1340 | shared_ptr<epdf> enorm<sq_T>::marginal ( const RV &rvn ) const |
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[488] | 1341 | { |
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[504] | 1342 | enorm<sq_T> *tmp = new enorm<sq_T> (); |
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| 1343 | shared_ptr<epdf> narrow(tmp); |
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| 1344 | marginal ( rvn, *tmp ); |
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| 1345 | return narrow; |
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| 1346 | } |
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| 1347 | |
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| 1348 | template<class sq_T> |
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| 1349 | void enorm<sq_T>::marginal ( const RV &rvn, enorm<sq_T> &target ) const |
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| 1350 | { |
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[620] | 1351 | bdm_assert (isnamed(), "rv description is not assigned"); |
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[488] | 1352 | ivec irvn = rvn.dataind (rv); |
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[178] | 1353 | |
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[504] | 1354 | sq_T Rn (R, irvn); // select rows and columns of R |
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[280] | 1355 | |
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[504] | 1356 | target.set_rv ( rvn ); |
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| 1357 | target.set_parameters (mu (irvn), Rn); |
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[488] | 1358 | } |
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[178] | 1359 | |
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[488] | 1360 | template<class sq_T> |
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[504] | 1361 | shared_ptr<mpdf> enorm<sq_T>::condition ( const RV &rvn ) const |
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[488] | 1362 | { |
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[504] | 1363 | mlnorm<sq_T> *tmp = new mlnorm<sq_T> (); |
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| 1364 | shared_ptr<mpdf> narrow(tmp); |
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| 1365 | condition ( rvn, *tmp ); |
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| 1366 | return narrow; |
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| 1367 | } |
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[178] | 1368 | |
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[504] | 1369 | template<class sq_T> |
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| 1370 | void enorm<sq_T>::condition ( const RV &rvn, mpdf &target ) const |
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| 1371 | { |
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| 1372 | typedef mlnorm<sq_T> TMlnorm; |
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| 1373 | |
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[620] | 1374 | bdm_assert (isnamed(), "rvs are not assigned"); |
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[504] | 1375 | TMlnorm &uptarget = dynamic_cast<TMlnorm &>(target); |
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[270] | 1376 | |
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[488] | 1377 | RV rvc = rv.subt (rvn); |
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[620] | 1378 | bdm_assert ( (rvc._dsize() + rvn._dsize() == rv._dsize()), "wrong rvn"); |
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[488] | 1379 | //Permutation vector of the new R |
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| 1380 | ivec irvn = rvn.dataind (rv); |
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| 1381 | ivec irvc = rvc.dataind (rv); |
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| 1382 | ivec perm = concat (irvn , irvc); |
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| 1383 | sq_T Rn (R, perm); |
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[178] | 1384 | |
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[488] | 1385 | //fixme - could this be done in general for all sq_T? |
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| 1386 | mat S = Rn.to_mat(); |
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| 1387 | //fixme |
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| 1388 | int n = rvn._dsize() - 1; |
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| 1389 | int end = R.rows() - 1; |
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| 1390 | mat S11 = S.get (0, n, 0, n); |
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| 1391 | mat S12 = S.get (0, n , rvn._dsize(), end); |
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| 1392 | mat S22 = S.get (rvn._dsize(), end, rvn._dsize(), end); |
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[178] | 1393 | |
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[488] | 1394 | vec mu1 = mu (irvn); |
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| 1395 | vec mu2 = mu (irvc); |
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| 1396 | mat A = S12 * inv (S22); |
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| 1397 | sq_T R_n (S11 - A *S12.T()); |
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[178] | 1398 | |
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[504] | 1399 | uptarget.set_rv (rvn); |
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| 1400 | uptarget.set_rvc (rvc); |
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| 1401 | uptarget.set_parameters (A, mu1 - A*mu2, R_n); |
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[488] | 1402 | } |
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[178] | 1403 | |
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[488] | 1404 | //// |
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| 1405 | /////// |
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| 1406 | template<class sq_T> |
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[527] | 1407 | void mgnorm<sq_T >::set_parameters (const shared_ptr<fnc> &g0, const sq_T &R0) { |
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| 1408 | g = g0; |
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| 1409 | this->iepdf.set_parameters (zeros (g->dimension()), R0); |
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| 1410 | } |
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| 1411 | |
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[488] | 1412 | template<class sq_T> |
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| 1413 | void mgnorm<sq_T >::condition (const vec &cond) {this->iepdf._mu() = g->eval (cond);}; |
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[28] | 1414 | |
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[536] | 1415 | //! \todo unify this stuff with to_string() |
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[488] | 1416 | template<class sq_T> |
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| 1417 | std::ostream &operator<< (std::ostream &os, mlnorm<sq_T> &ml) |
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| 1418 | { |
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| 1419 | os << "A:" << ml.A << endl; |
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| 1420 | os << "mu:" << ml.mu_const << endl; |
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| 1421 | os << "R:" << ml._R() << endl; |
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| 1422 | return os; |
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| 1423 | }; |
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[28] | 1424 | |
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[254] | 1425 | } |
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[8] | 1426 | #endif //EF_H |
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