1 | classdef mexLaplaceBM < mexBM |
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2 | % Approximate Bayesian estimator of parameters of Laplace distributed observation. |
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3 | % Maximum likelihood approximation of the Bayes rule is used, posterior is in the form of dirac. |
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4 | properties |
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5 | max_window_length = 10; % max window length (default = 10) |
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6 | data_window =[]; % sliding window of data |
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7 | end |
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8 | methods |
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9 | function obj=validate(obj) % prepare all internal objects for use |
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10 | obj.apost_pdf = mexDirac; |
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11 | obj.apost_pdf.point = [0;0]; |
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12 | obj.log_evidence = 0; % evidence is not computed! |
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13 | end |
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14 | |
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15 | function dims=dimensions(obj) |
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16 | %please fill: dims = [size_of_posterior size_of_data size_of_condition] |
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17 | dims = [2,1,0] % we have: [2d parameters, 1d observations, 0d condition] |
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18 | end |
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19 | function obj=bayes(obj,dt,cond) % approximate bayes rule |
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20 | if size(obj.data_window,2)>=obj.max_window_length |
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21 | obj.data_window = [dt obj.data_window(1:end-1)]; |
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22 | else |
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23 | obj.data_window = [dt obj.data_window]; |
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24 | end |
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25 | % transform old estimate into new estimate |
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26 | m_hat = mean(obj.data_window); |
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27 | b_hat = sum(abs(obj.data_window-m_hat))/ size(obj.data_window,2); |
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28 | obj.apost_pdf.point = [m_hat; b_hat]; % store result in psoterior pdf |
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29 | end |
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30 | function p=epredictor(obj,cond) % when predictive density is needed approximate it by Laplace with point estimates |
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31 | % return predictive density (max likelihood) |
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32 | p = mexLaplace; |
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33 | p.mu = obj.apost_pdf.point(1); |
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34 | p.b = obj.apost_pdf.point(2); |
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35 | % do not forget to validate |
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36 | p=p.validate; |
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37 | % assign descriptions |
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38 | p.rv = yrv; |
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39 | % rvc is empty be default |
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40 | end |
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41 | end |
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42 | |
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43 | end |
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