📄 discrete_sampler.m
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function samples_out=discrete_sampler(density,num_samples,replacement_option)%% Function that draws samples from a discrete density%% density - discrete probability density (should sum to 1)% num_samples - number of samples to draw% replacement_option: 1 for sampling with replacment, 0 for no replacmentsamples_out = zeros(1,num_samples);%% Get CDFcum_density = cumsum(density);%% Draw samples from uniform distributionuni_samples = rand(1,num_samples);a=1;while (a<=num_samples) binary = uni_samples(a)>cum_density; highest = find(binary); if isempty(highest) samples_out(1,a) = 1; else samples_out(1,a) = highest(end)+1; end if ((~replacement_option) & (a>1)) %% if we aren't doing replacement if (sum(samples_out(1,a)==samples_out(1,1:a-1))>0) uni_samples(1,a)=rand; %% gen. new uniform sample a=a-1; %% redo this sample end end a=a+1; end
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