Refactor Network and create Metrics class
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102
src/Metrics.cc
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102
src/Metrics.cc
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#include "Metrics.hpp"
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using namespace std;
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namespace bayesnet {
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Metrics::Metrics(torch::Tensor& samples, vector<string>& features, string& className, int classNumStates)
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: samples(samples)
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, features(features)
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, className(className)
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, classNumStates(classNumStates)
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{
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}
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vector<pair<string, string>> Metrics::doCombinations(const vector<string>& source)
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{
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vector<pair<string, string>> result;
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for (int i = 0; i < source.size(); ++i) {
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string temp = source[i];
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for (int j = i + 1; j < source.size(); ++j) {
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result.push_back({ temp, source[j] });
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}
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}
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return result;
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}
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torch::Tensor Metrics::conditionalEdgeWeight()
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{
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auto result = vector<double>();
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auto source = vector<string>(features);
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source.push_back(className);
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auto combinations = doCombinations(source);
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// Compute class prior
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auto margin = torch::zeros({ classNumStates });
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for (int value = 0; value < classNumStates; ++value) {
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auto mask = samples.index({ "...", -1 }) == value;
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margin[value] = mask.sum().item<float>() / samples.sizes()[0];
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}
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for (auto [first, second] : combinations) {
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int64_t index_first = find(features.begin(), features.end(), first) - features.begin();
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int64_t index_second = find(features.begin(), features.end(), second) - features.begin();
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double accumulated = 0;
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for (int value = 0; value < classNumStates; ++value) {
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auto mask = samples.index({ "...", -1 }) == value;
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auto first_dataset = samples.index({ mask, index_first });
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auto second_dataset = samples.index({ mask, index_second });
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auto mi = mutualInformation(first_dataset, second_dataset);
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auto pb = margin[value].item<float>();
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accumulated += pb * mi;
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}
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result.push_back(accumulated);
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}
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long n_vars = source.size();
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auto matrix = torch::zeros({ n_vars, n_vars });
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auto indices = torch::triu_indices(n_vars, n_vars, 1);
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for (auto i = 0; i < result.size(); ++i) {
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auto x = indices[0][i];
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auto y = indices[1][i];
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matrix[x][y] = result[i];
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matrix[y][x] = result[i];
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}
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return matrix;
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}
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double Metrics::entropy(torch::Tensor& feature)
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{
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torch::Tensor counts = feature.bincount();
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int totalWeight = counts.sum().item<int>();
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torch::Tensor probs = counts.to(torch::kFloat) / totalWeight;
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torch::Tensor logProbs = torch::log(probs);
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torch::Tensor entropy = -probs * logProbs;
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return entropy.nansum().item<double>();
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}
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// H(Y|X) = sum_{x in X} p(x) H(Y|X=x)
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double Metrics::conditionalEntropy(torch::Tensor& firstFeature, torch::Tensor& secondFeature)
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{
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int numSamples = firstFeature.sizes()[0];
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torch::Tensor featureCounts = secondFeature.bincount();
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unordered_map<int, unordered_map<int, double>> jointCounts;
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double totalWeight = 0;
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for (auto i = 0; i < numSamples; i++) {
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jointCounts[secondFeature[i].item<int>()][firstFeature[i].item<int>()] += 1;
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totalWeight += 1;
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}
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if (totalWeight == 0)
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throw invalid_argument("Total weight should not be zero");
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double entropyValue = 0;
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for (int value = 0; value < featureCounts.sizes()[0]; ++value) {
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double p_f = featureCounts[value].item<double>() / totalWeight;
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double entropy_f = 0;
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for (auto& [label, jointCount] : jointCounts[value]) {
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double p_l_f = jointCount / featureCounts[value].item<double>();
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if (p_l_f > 0) {
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entropy_f -= p_l_f * log(p_l_f);
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} else {
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entropy_f = 0;
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}
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}
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entropyValue += p_f * entropy_f;
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}
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return entropyValue;
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}
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// I(X;Y) = H(Y) - H(Y|X)
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double Metrics::mutualInformation(torch::Tensor& firstFeature, torch::Tensor& secondFeature)
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{
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return entropy(firstFeature) - conditionalEntropy(firstFeature, secondFeature);
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}
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}
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