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Merge pull request #3312 from stan-dev/feature/3299-improved-ESS-Rhat
Feature/3299 improved ess rhat
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#ifndef STAN_ANALYZE_MCMC_CHECK_CHAINS_HPP | ||
#define STAN_ANALYZE_MCMC_CHECK_CHAINS_HPP | ||
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#include <stan/math/prim.hpp> | ||
#include <cmath> | ||
#include <cstdlib> | ||
#include <limits> | ||
#include <utility> | ||
#include <vector> | ||
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namespace stan { | ||
namespace analyze { | ||
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/** | ||
* Checks that values across all matrix columns finite and non-identical. | ||
* | ||
* @param chains matrix of draws, one column per chain | ||
* @return bool true if OK, false otherwise | ||
*/ | ||
inline bool is_finite_and_varies(const Eigen::MatrixXd chains) { | ||
size_t num_chains = chains.cols(); | ||
size_t num_samples = chains.rows(); | ||
Eigen::VectorXd first_draws = Eigen::VectorXd::Zero(num_chains); | ||
for (std::size_t i = 0; i < num_chains; ++i) { | ||
first_draws(i) = chains.col(i)(0); | ||
for (int j = 0; j < num_samples; ++j) { | ||
if (!std::isfinite(chains.col(i)(j))) | ||
return false; | ||
} | ||
if (chains.col(i).isApproxToConstant(first_draws(i))) { | ||
return false; | ||
} | ||
} | ||
if (num_chains > 1 && first_draws.isApproxToConstant(first_draws(0))) { | ||
return false; | ||
} | ||
return true; | ||
} | ||
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} // namespace analyze | ||
} // namespace stan | ||
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#endif |
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#ifndef STAN_ANALYZE_MCMC_RANK_NORMALIZATION_HPP | ||
#define STAN_ANALYZE_MCMC_RANK_NORMALIZATION_HPP | ||
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#include <stan/math/prim.hpp> | ||
#include <boost/math/distributions/normal.hpp> | ||
#include <algorithm> | ||
#include <cmath> | ||
#include <vector> | ||
#include <limits> | ||
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namespace stan { | ||
namespace analyze { | ||
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/** | ||
* Computes normalized average ranks for pooled draws. Normal scores computed | ||
* using inverse normal transformation and a fractional offset. Based on paper | ||
* https://arxiv.org/abs/1903.08008 | ||
* | ||
* @param chains matrix of draws, one column per chain | ||
* @return normal scores for average ranks of draws | ||
*/ | ||
inline Eigen::MatrixXd rank_transform(const Eigen::MatrixXd& chains) { | ||
const Eigen::Index rows = chains.rows(); | ||
const Eigen::Index cols = chains.cols(); | ||
const Eigen::Index size = rows * cols; | ||
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std::vector<std::pair<double, int>> value_with_index(size); | ||
for (Eigen::Index i = 0; i < size; ++i) { | ||
value_with_index[i] = {chains(i), i}; | ||
} | ||
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std::sort(value_with_index.begin(), value_with_index.end()); | ||
Eigen::MatrixXd rank_matrix = Eigen::MatrixXd::Zero(rows, cols); | ||
// Assigning average ranks | ||
for (Eigen::Index i = 0; i < size; ++i) { | ||
// Handle ties by averaging ranks | ||
Eigen::Index j = i + 1; | ||
double sum_ranks = j; | ||
Eigen::Index count = 1; | ||
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while (j < size && value_with_index[j].first == value_with_index[i].first) { | ||
sum_ranks += j + 1; // Rank starts from 1 | ||
++j; | ||
++count; | ||
} | ||
double avg_rank = sum_ranks / count; | ||
boost::math::normal_distribution<double> dist; | ||
for (std::size_t k = i; k < j; ++k) { | ||
double p = (avg_rank - 0.375) / (size + 0.25); | ||
const Eigen::Index index = value_with_index[k].second; | ||
rank_matrix(index) = boost::math::quantile(dist, p); | ||
} | ||
i = j - 1; // Skip over tied elements | ||
} | ||
return rank_matrix; | ||
} | ||
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} // namespace analyze | ||
} // namespace stan | ||
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#endif |
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