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@ -3,8 +3,11 @@
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#include <algorithm>
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#include <utility>
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#include <cmath>
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#include <limits>
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#include "ctc_beam_search_decoder.h"
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typedef float log_prob_type;
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template <typename T1, typename T2>
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bool pair_comp_first_rev(const std::pair<T1, T2> a, const std::pair<T1, T2> b)
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{
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@ -17,6 +20,65 @@ bool pair_comp_second_rev(const std::pair<T1, T2> a, const std::pair<T1, T2> b)
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return a.second > b.second;
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}
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template <typename T>
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T log_sum_exp(T x, T y)
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{
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static T num_min = -std::numeric_limits<T>::max();
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if (x <= -num_min) return y;
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if (y <= -num_min) return x;
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T xmax = std::max(x, y);
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return std::log(std::exp(x-xmax) + std::exp(y-xmax)) + xmax;
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}
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std::string ctc_best_path_decoder(std::vector<std::vector<double> > probs_seq,
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std::vector<std::string> vocabulary) {
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// dimension check
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int num_time_steps = probs_seq.size();
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for (int i=0; i<num_time_steps; i++) {
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if (probs_seq[i].size() != vocabulary.size()+1) {
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std::cout<<"The shape of probs_seq does not match"
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<<" with the shape of the vocabulary!"<<std::endl;
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exit(1);
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}
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}
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int blank_id = vocabulary.size();
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std::vector<int> max_idx_vec;
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double max_prob = 0.0;
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int max_idx = 0;
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for (int i=0; i<num_time_steps; i++) {
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for (int j=0; j<probs_seq[i].size(); j++) {
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if (max_prob < probs_seq[i][j]) {
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max_idx = j;
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max_prob = probs_seq[i][j];
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}
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}
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max_idx_vec.push_back(max_idx);
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std::cout<<max_idx<<",";
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max_prob = 0.0;
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max_idx = 0;
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}
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std::cout<<std::endl;
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std::vector<int> idx_vec;
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for (int i=0; i<max_idx_vec.size(); i++) {
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std::cout<<max_idx_vec[i]<<",";
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if ((i == 0) || ((i>0) && max_idx_vec[i]!=max_idx_vec[i-1])) {
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std::cout<<max_idx_vec[i]<<",";
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idx_vec.push_back(max_idx_vec[i]);
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}
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}
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std::string best_path_result;
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for (int i=0; i<idx_vec.size(); i++) {
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if (idx_vec[i] != blank_id) {
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best_path_result += vocabulary[i];
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}
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}
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return best_path_result;
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}
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std::vector<std::pair<double, std::string> >
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ctc_beam_search_decoder(std::vector<std::vector<double> > probs_seq,
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int beam_size,
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@ -52,30 +114,35 @@ std::vector<std::pair<double, std::string> >
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// initialize
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// two sets containing selected and candidate prefixes respectively
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std::map<std::string, double> prefix_set_prev, prefix_set_next;
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std::map<std::string, log_prob_type> prefix_set_prev, prefix_set_next;
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// probability of prefixes ending with blank and non-blank
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std::map<std::string, double> probs_b_prev, probs_nb_prev;
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std::map<std::string, double> probs_b_cur, probs_nb_cur;
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prefix_set_prev["\t"] = 1.0;
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probs_b_prev["\t"] = 1.0;
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probs_nb_prev["\t"] = 0.0;
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std::map<std::string, log_prob_type> log_probs_b_prev, log_probs_nb_prev;
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std::map<std::string, log_prob_type> log_probs_b_cur, log_probs_nb_cur;
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static log_prob_type NUM_MAX = std::numeric_limits<log_prob_type>::max();
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prefix_set_prev["\t"] = 0.0;
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log_probs_b_prev["\t"] = 0.0;
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log_probs_nb_prev["\t"] = -NUM_MAX;
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for (int time_step=0; time_step<num_time_steps; time_step++) {
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prefix_set_next.clear();
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probs_b_cur.clear();
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probs_nb_cur.clear();
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log_probs_b_cur.clear();
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log_probs_nb_cur.clear();
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std::vector<double> prob = probs_seq[time_step];
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std::vector<std::pair<int, double> > prob_idx;
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for (int i=0; i<prob.size(); i++) {
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prob_idx.push_back(std::pair<int, double>(i, prob[i]));
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}
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// pruning of vacobulary
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int cutoff_len = prob.size();
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if (cutoff_prob < 1.0) {
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std::sort(prob_idx.begin(), prob_idx.end(),
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std::sort(prob_idx.begin(),
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prob_idx.end(),
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pair_comp_second_rev<int, double>);
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float cum_prob = 0.0;
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int cutoff_len = 0;
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double cum_prob = 0.0;
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cutoff_len = 0;
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for (int i=0; i<prob_idx.size(); i++) {
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cum_prob += prob_idx[i].second;
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cutoff_len += 1;
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@ -84,74 +151,110 @@ std::vector<std::pair<double, std::string> >
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prob_idx = std::vector<std::pair<int, double> >( prob_idx.begin(),
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prob_idx.begin() + cutoff_len);
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}
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std::vector<std::pair<int, log_prob_type> > log_prob_idx;
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for (int i=0; i<cutoff_len; i++) {
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log_prob_idx.push_back(std::pair<int, log_prob_type>
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(prob_idx[i].first, log(prob_idx[i].second)));
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}
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// extend prefix
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for (std::map<std::string, double>::iterator it = prefix_set_prev.begin();
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for (std::map<std::string, log_prob_type>::iterator
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it = prefix_set_prev.begin();
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it != prefix_set_prev.end(); it++) {
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std::string l = it->first;
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if( prefix_set_next.find(l) == prefix_set_next.end()) {
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probs_b_cur[l] = probs_nb_cur[l] = 0.0;
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log_probs_b_cur[l] = log_probs_nb_cur[l] = -NUM_MAX;
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}
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for (int index=0; index<prob_idx.size(); index++) {
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int c = prob_idx[index].first;
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double prob_c = prob_idx[index].second;
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for (int index=0; index<log_prob_idx.size(); index++) {
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int c = log_prob_idx[index].first;
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log_prob_type log_prob_c = log_prob_idx[index].second;
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log_prob_type log_probs_prev;
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if (c == blank_id) {
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probs_b_cur[l] += prob_c * (probs_b_prev[l] + probs_nb_prev[l]);
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log_probs_prev = log_sum_exp(log_probs_b_prev[l],
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log_probs_nb_prev[l]);
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log_probs_b_cur[l] = log_sum_exp(log_probs_b_cur[l],
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log_prob_c+log_probs_prev);
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} else {
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std::string last_char = l.substr(l.size()-1, 1);
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std::string new_char = vocabulary[c];
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std::string l_plus = l + new_char;
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if( prefix_set_next.find(l_plus) == prefix_set_next.end()) {
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probs_b_cur[l_plus] = probs_nb_cur[l_plus] = 0.0;
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log_probs_b_cur[l_plus] = -NUM_MAX;
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log_probs_nb_cur[l_plus] = -NUM_MAX;
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}
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if (last_char == new_char) {
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probs_nb_cur[l_plus] += prob_c * probs_b_prev[l];
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probs_nb_cur[l] += prob_c * probs_nb_prev[l];
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log_probs_nb_cur[l_plus] = log_sum_exp(
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log_probs_nb_cur[l_plus],
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log_prob_c+log_probs_b_prev[l]
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);
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log_probs_nb_cur[l] = log_sum_exp(
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log_probs_nb_cur[l],
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log_prob_c+log_probs_nb_prev[l]
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);
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} else if (new_char == " ") {
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double score = 1.0;
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float score = 0.0;
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if (ext_scorer != NULL && l.size() > 1) {
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score = ext_scorer->get_score(l.substr(1));
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score = ext_scorer->get_score(l.substr(1), true);
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}
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probs_nb_cur[l_plus] += score * prob_c * (
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probs_b_prev[l] + probs_nb_prev[l]);
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log_probs_prev = log_sum_exp(log_probs_b_prev[l],
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log_probs_nb_prev[l]);
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log_probs_nb_cur[l_plus] = log_sum_exp(
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log_probs_nb_cur[l_plus],
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score + log_prob_c + log_probs_prev
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);
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} else {
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probs_nb_cur[l_plus] += prob_c * (
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probs_b_prev[l] + probs_nb_prev[l]);
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log_probs_prev = log_sum_exp(log_probs_b_prev[l],
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log_probs_nb_prev[l]);
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log_probs_nb_cur[l_plus] = log_sum_exp(
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log_probs_nb_cur[l_plus],
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log_prob_c+log_probs_prev
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);
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}
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prefix_set_next[l_plus] = probs_nb_cur[l_plus] + probs_b_cur[l_plus];
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prefix_set_next[l_plus] = log_sum_exp(
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log_probs_nb_cur[l_plus],
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log_probs_b_cur[l_plus]
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);
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}
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}
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prefix_set_next[l] = probs_b_cur[l] + probs_nb_cur[l];
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prefix_set_next[l] = log_sum_exp(log_probs_b_cur[l],
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log_probs_nb_cur[l]);
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}
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probs_b_prev = probs_b_cur;
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probs_nb_prev = probs_nb_cur;
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std::vector<std::pair<std::string, double> >
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log_probs_b_prev = log_probs_b_cur;
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log_probs_nb_prev = log_probs_nb_cur;
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std::vector<std::pair<std::string, log_prob_type> >
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prefix_vec_next(prefix_set_next.begin(),
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prefix_set_next.end());
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std::sort(prefix_vec_next.begin(),
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prefix_vec_next.end(),
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pair_comp_second_rev<std::string, double>);
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int k = beam_size<prefix_vec_next.size() ? beam_size:prefix_vec_next.size();
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prefix_set_prev = std::map<std::string, double>
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(prefix_vec_next.begin(), prefix_vec_next.begin()+k);
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pair_comp_second_rev<std::string, log_prob_type>);
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int num_prefixes_next = prefix_vec_next.size();
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int k = beam_size<num_prefixes_next ? beam_size : num_prefixes_next;
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prefix_set_prev = std::map<std::string, log_prob_type> (
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prefix_vec_next.begin(),
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prefix_vec_next.begin() + k
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);
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}
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// post processing
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std::vector<std::pair<double, std::string> > beam_result;
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for (std::map<std::string, double>::iterator it = prefix_set_prev.begin();
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it != prefix_set_prev.end(); it++) {
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if (it->second > 0.0 && it->first.size() > 1) {
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double prob = it->second;
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for (std::map<std::string, log_prob_type>::iterator
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it = prefix_set_prev.begin(); it != prefix_set_prev.end(); it++) {
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if (it->second > -NUM_MAX && it->first.size() > 1) {
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log_prob_type log_prob = it->second;
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std::string sentence = it->first.substr(1);
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// scoring the last word
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if (ext_scorer != NULL && sentence[sentence.size()-1] != ' ') {
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prob = prob * ext_scorer->get_score(sentence);
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log_prob = log_prob + ext_scorer->get_score(sentence, true);
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}
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if (log_prob > -NUM_MAX) {
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std::pair<double, std::string> cur_result(log_prob, sentence);
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beam_result.push_back(cur_result);
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}
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double log_prob = log(prob);
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beam_result.push_back(std::pair<double, std::string>(log_prob, sentence));
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}
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}
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// sort the result and return
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