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#include <cstdlib>
#include <sstream>
#include <iostream>
#include <fstream>
#include <vector>
#include <boost/program_options.hpp>
#include <boost/program_options/variables_map.hpp>
#include "filelib.h"
#include "weights.h"
#include "sparse_vector.h"
#include "optimize.h"
using namespace std;
namespace po = boost::program_options;
// since this is a ranking model, there should be equal numbers of
// positive and negative examples, so the bias should be 0
static const double MAX_BIAS = 1e-10;
void InitCommandLine(int argc, char** argv, po::variables_map* conf) {
po::options_description opts("Configuration options");
opts.add_options()
("weights,w", po::value<string>(), "Weights from previous iteration (used as initialization and interpolation")
("regularization_strength,C",po::value<double>()->default_value(500.0), "l2 regularization strength")
("regularize_to_weights,y",po::value<double>()->default_value(5000.0), "Differences in learned weights to previous weights are penalized with an l2 penalty with this strength; 0.0 = no effect")
("memory_buffers,m",po::value<unsigned>()->default_value(100), "Number of memory buffers (LBFGS)")
("min_reg,r",po::value<double>()->default_value(0.01), "When tuning (-T) regularization strength, minimum regularization strenght")
("max_reg,R",po::value<double>()->default_value(1e6), "When tuning (-T) regularization strength, maximum regularization strenght")
("testset,t",po::value<string>(), "Optional held-out test set")
("tune_regularizer,T", "Use the held out test set (-t) to tune the regularization strength")
("interpolate_with_weights,p",po::value<double>()->default_value(1.0), "[deprecated] Output weights are p*w + (1-p)*w_prev; 1.0 = no effect")
("help,h", "Help");
po::options_description dcmdline_options;
dcmdline_options.add(opts);
po::store(parse_command_line(argc, argv, dcmdline_options), *conf);
if (conf->count("help")) {
cerr << dcmdline_options << endl;
exit(1);
}
}
void ParseSparseVector(string& line, size_t cur, SparseVector<weight_t>* out) {
SparseVector<weight_t>& x = *out;
size_t last_start = cur;
size_t last_comma = string::npos;
while(cur <= line.size()) {
if (line[cur] == ' ' || cur == line.size()) {
if (!(cur > last_start && last_comma != string::npos && cur > last_comma)) {
cerr << "[ERROR] " << line << endl << " position = " << cur << endl;
exit(1);
}
const int fid = FD::Convert(line.substr(last_start, last_comma - last_start));
if (cur < line.size()) line[cur] = 0;
const weight_t val = strtod(&line[last_comma + 1], NULL);
x.set_value(fid, val);
last_comma = string::npos;
last_start = cur+1;
} else {
if (line[cur] == '=')
last_comma = cur;
}
++cur;
}
}
void ReadCorpus(istream* pin, vector<pair<bool, SparseVector<weight_t> > >* corpus) {
istream& in = *pin;
corpus->clear();
bool flag = false;
int lc = 0;
string line;
SparseVector<weight_t> x;
while(getline(in, line)) {
++lc;
if (lc % 1000 == 0) { cerr << '.'; flag = true; }
if (lc % 40000 == 0) { cerr << " [" << lc << "]\n"; flag = false; }
if (line.empty()) continue;
const size_t ks = line.find("\t");
assert(string::npos != ks);
assert(ks == 1);
const bool y = line[0] == '1';
x.clear();
ParseSparseVector(line, ks + 1, &x);
corpus->push_back(make_pair(y, x));
}
if (flag) cerr << endl;
}
void GradAdd(const SparseVector<weight_t>& v, const double scale, vector<weight_t>* acc) {
for (SparseVector<weight_t>::const_iterator it = v.begin();
it != v.end(); ++it) {
(*acc)[it->first] += it->second * scale;
}
}
double ApplyRegularizationTerms(const double C,
const double T,
const vector<weight_t>& weights,
const vector<weight_t>& prev_weights,
vector<weight_t>* g) {
assert(weights.size() == g->size());
double reg = 0;
for (size_t i = 0; i < weights.size(); ++i) {
const double prev_w_i = (i < prev_weights.size() ? prev_weights[i] : 0.0);
const double& w_i = weights[i];
double& g_i = (*g)[i];
reg += C * w_i * w_i;
g_i += 2 * C * w_i;
const double diff_i = w_i - prev_w_i;
reg += T * diff_i * diff_i;
g_i += 2 * T * diff_i;
}
return reg;
}
double TrainingInference(const vector<weight_t>& x,
const vector<pair<bool, SparseVector<weight_t> > >& corpus,
vector<weight_t>* g = NULL) {
double cll = 0;
for (int i = 0; i < corpus.size(); ++i) {
const double dotprod = corpus[i].second.dot(x) + (x.size() ? x[0] : weight_t()); // x[0] is bias
double lp_false = dotprod;
double lp_true = -dotprod;
if (0 < lp_true) {
lp_true += log1p(exp(-lp_true));
lp_false = log1p(exp(lp_false));
} else {
lp_true = log1p(exp(lp_true));
lp_false += log1p(exp(-lp_false));
}
lp_true*=-1;
lp_false*=-1;
if (corpus[i].first) { // true label
cll -= lp_true;
if (g) {
// g -= corpus[i].second * exp(lp_false);
GradAdd(corpus[i].second, -exp(lp_false), g);
(*g)[0] -= exp(lp_false); // bias
}
} else { // false label
cll -= lp_false;
if (g) {
// g += corpus[i].second * exp(lp_true);
GradAdd(corpus[i].second, exp(lp_true), g);
(*g)[0] += exp(lp_true); // bias
}
}
}
return cll;
}
// return held-out log likelihood
double LearnParameters(const vector<pair<bool, SparseVector<weight_t> > >& training,
const vector<pair<bool, SparseVector<weight_t> > >& testing,
const double C,
const double T,
const unsigned memory_buffers,
const vector<weight_t>& prev_x,
vector<weight_t>* px) {
vector<weight_t>& x = *px;
vector<weight_t> vg(FD::NumFeats(), 0.0);
bool converged = false;
LBFGSOptimizer opt(FD::NumFeats(), memory_buffers);
double tppl = 0.0;
while(!converged) {
fill(vg.begin(), vg.end(), 0.0);
double cll = TrainingInference(x, training, &vg);
double ppl = cll / log(2);
ppl /= training.size();
ppl = pow(2.0, ppl);
// evaluate optional held-out test set
if (testing.size()) {
tppl = TrainingInference(x, testing) / log(2);
tppl /= testing.size();
tppl = pow(2.0, tppl);
}
// handle regularizer
double reg = ApplyRegularizationTerms(C, T, x, prev_x, &vg);
cll += reg;
cerr << cll << " (REG=" << reg << ")\tPPL=" << ppl << "\t TEST_PPL=" << tppl << "\t" << endl;
try {
opt.Optimize(cll, vg, &x);
converged = opt.HasConverged();
} catch (...) {
cerr << "Exception caught, assuming convergence is close enough...\n";
converged = true;
}
if (fabs(x[0]) > MAX_BIAS) {
cerr << "Biased model learned. Are your training instances wrong?\n";
cerr << " BIAS: " << x[0] << endl;
}
}
return tppl;
}
int main(int argc, char** argv) {
po::variables_map conf;
InitCommandLine(argc, argv, &conf);
string line;
vector<pair<bool, SparseVector<weight_t> > > training, testing;
const bool tune_regularizer = conf.count("tune_regularizer");
if (tune_regularizer && !conf.count("testset")) {
cerr << "--tune_regularizer requires --testset to be set\n";
return 1;
}
const double min_reg = conf["min_reg"].as<double>();
const double max_reg = conf["max_reg"].as<double>();
double C = conf["regularization_strength"].as<double>(); // will be overridden if parameter is tuned
const double T = conf["regularize_to_weights"].as<double>();
assert(C > 0.0);
assert(min_reg > 0.0);
assert(max_reg > 0.0);
assert(max_reg > min_reg);
const double psi = conf["interpolate_with_weights"].as<double>();
if (psi < 0.0 || psi > 1.0) { cerr << "Invalid interpolation weight: " << psi << endl; return 1; }
ReadCorpus(&cin, &training);
if (conf.count("testset")) {
ReadFile rf(conf["testset"].as<string>());
ReadCorpus(rf.stream(), &testing);
}
cerr << "Number of features: " << FD::NumFeats() << endl;
vector<weight_t> x, prev_x; // x[0] is bias
if (conf.count("weights")) {
Weights::InitFromFile(conf["weights"].as<string>(), &x);
x.resize(FD::NumFeats());
prev_x = x;
} else {
x.resize(FD::NumFeats());
prev_x = x;
}
cerr << " Number of features: " << x.size() << endl;
cerr << "Number of training examples: " << training.size() << endl;
cerr << "Number of testing examples: " << testing.size() << endl;
double tppl = 0.0;
vector<pair<double,double> > sp;
vector<double> smoothed;
if (tune_regularizer) {
C = min_reg;
const double steps = 18;
double sweep_factor = exp((log(max_reg) - log(min_reg)) / steps);
cerr << "SWEEP FACTOR: " << sweep_factor << endl;
while(C < max_reg) {
cerr << "C=" << C << "\tT=" <<T << endl;
tppl = LearnParameters(training, testing, C, T, conf["memory_buffers"].as<unsigned>(), prev_x, &x);
sp.push_back(make_pair(C, tppl));
C *= sweep_factor;
}
smoothed.resize(sp.size(), 0);
smoothed[0] = sp[0].second;
smoothed.back() = sp.back().second;
for (int i = 1; i < sp.size()-1; ++i) {
double prev = sp[i-1].second;
double next = sp[i+1].second;
double cur = sp[i].second;
smoothed[i] = (prev*0.2) + cur * 0.6 + (0.2*next);
}
double best_ppl = 9999999;
unsigned best_i = 0;
for (unsigned i = 0; i < sp.size(); ++i) {
if (smoothed[i] < best_ppl) {
best_ppl = smoothed[i];
best_i = i;
}
}
C = sp[best_i].first;
} // tune regularizer
tppl = LearnParameters(training, testing, C, T, conf["memory_buffers"].as<unsigned>(), prev_x, &x);
if (conf.count("weights")) {
for (int i = 1; i < x.size(); ++i) {
x[i] = (x[i] * psi) + prev_x[i] * (1.0 - psi);
}
}
cout.precision(15);
cout << "# C=" << C << "\theld out perplexity=";
if (tppl) { cout << tppl << endl; } else { cout << "N/A\n"; }
if (sp.size()) {
cout << "# Parameter sweep:\n";
for (int i = 0; i < sp.size(); ++i) {
cout << "# " << sp[i].first << "\t" << sp[i].second << "\t" << smoothed[i] << endl;
}
}
Weights::WriteToFile("-", x);
return 0;
}
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