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#include <iostream>
#include <tr1/memory>
#include <queue>
#include <boost/functional.hpp>
#include <boost/program_options.hpp>
#include <boost/program_options/variables_map.hpp>
#include "corpus_tools.h"
#include "m.h"
#include "tdict.h"
#include "sampler.h"
#include "ccrp.h"
// A not very memory-efficient implementation of an N-gram LM based on PYPs
// as described in Y.-W. Teh. (2006) A Hierarchical Bayesian Language Model
// based on Pitman-Yor Processes. In Proc. ACL.
// I use templates to handle the recursive formalation of the prior, so
// the order of the model has to be specified here, at compile time:
#define kORDER 3
using namespace std;
using namespace tr1;
namespace po = boost::program_options;
shared_ptr<MT19937> prng;
void InitCommandLine(int argc, char** argv, po::variables_map* conf) {
po::options_description opts("Configuration options");
opts.add_options()
("samples,s",po::value<unsigned>()->default_value(300),"Number of samples")
("train,i",po::value<string>(),"Training data file")
("test,T",po::value<string>(),"Test data file")
("discount_prior_a,a",po::value<double>()->default_value(1.0), "discount ~ Beta(a,b): a=this")
("discount_prior_b,b",po::value<double>()->default_value(1.0), "discount ~ Beta(a,b): b=this")
("strength_prior_s,s",po::value<double>()->default_value(1.0), "strength ~ Gamma(s,r): s=this")
("strength_prior_r,r",po::value<double>()->default_value(1.0), "strength ~ Gamma(s,r): r=this")
("random_seed,S",po::value<uint32_t>(), "Random seed");
po::options_description clo("Command line options");
clo.add_options()
("config", po::value<string>(), "Configuration file")
("help", "Print this help message and exit");
po::options_description dconfig_options, dcmdline_options;
dconfig_options.add(opts);
dcmdline_options.add(opts).add(clo);
po::store(parse_command_line(argc, argv, dcmdline_options), *conf);
if (conf->count("config")) {
ifstream config((*conf)["config"].as<string>().c_str());
po::store(po::parse_config_file(config, dconfig_options), *conf);
}
po::notify(*conf);
if (conf->count("help") || (conf->count("train") == 0)) {
cerr << dcmdline_options << endl;
exit(1);
}
}
template <unsigned N> struct PYPLM;
// uniform base distribution (0-gram model)
template<> struct PYPLM<0> {
PYPLM(unsigned vs, double, double, double, double) : p0(1.0 / vs), draws() {}
void increment(WordID, const vector<WordID>&, MT19937*) { ++draws; }
void decrement(WordID, const vector<WordID>&, MT19937*) { --draws; assert(draws >= 0); }
double prob(WordID, const vector<WordID>&) const { return p0; }
void resample_hyperparameters(MT19937*, const unsigned, const unsigned) {}
double log_likelihood() const { return draws * log(p0); }
const double p0;
int draws;
};
// represents an N-gram LM
template <unsigned N> struct PYPLM {
PYPLM(unsigned vs, double da, double db, double ss, double sr) :
backoff(vs, da, db, ss, sr),
discount_a(da), discount_b(db),
strength_s(ss), strength_r(sr),
d(0.8), alpha(1.0), lookup(N-1) {}
void increment(WordID w, const vector<WordID>& context, MT19937* rng) {
const double bo = backoff.prob(w, context);
for (unsigned i = 0; i < N-1; ++i)
lookup[i] = context[context.size() - 1 - i];
typename unordered_map<vector<WordID>, CCRP<WordID>, boost::hash<vector<WordID> > >::iterator it = p.find(lookup);
if (it == p.end())
it = p.insert(make_pair(lookup, CCRP<WordID>(d,alpha))).first;
if (it->second.increment(w, bo, rng))
backoff.increment(w, context, rng);
}
void decrement(WordID w, const vector<WordID>& context, MT19937* rng) {
for (unsigned i = 0; i < N-1; ++i)
lookup[i] = context[context.size() - 1 - i];
typename unordered_map<vector<WordID>, CCRP<WordID>, boost::hash<vector<WordID> > >::iterator it = p.find(lookup);
assert(it != p.end());
if (it->second.decrement(w, rng))
backoff.decrement(w, context, rng);
}
double prob(WordID w, const vector<WordID>& context) const {
const double bo = backoff.prob(w, context);
for (unsigned i = 0; i < N-1; ++i)
lookup[i] = context[context.size() - 1 - i];
typename unordered_map<vector<WordID>, CCRP<WordID>, boost::hash<vector<WordID> > >::const_iterator it = p.find(lookup);
if (it == p.end()) return bo;
return it->second.prob(w, bo);
}
double log_likelihood() const {
return log_likelihood(d, alpha) + backoff.log_likelihood();
}
double log_likelihood(const double& dd, const double& aa) const {
if (aa <= -dd) return -std::numeric_limits<double>::infinity();
//double llh = Md::log_beta_density(dd, 10, 3) + Md::log_gamma_density(aa, 1, 1);
double llh = Md::log_beta_density(dd, discount_a, discount_b) +
Md::log_gamma_density(aa, strength_s, strength_r);
typename unordered_map<vector<WordID>, CCRP<WordID>, boost::hash<vector<WordID> > >::const_iterator it;
for (it = p.begin(); it != p.end(); ++it)
llh += it->second.log_crp_prob(dd, aa);
return llh;
}
struct DiscountResampler {
DiscountResampler(const PYPLM& m) : m_(m) {}
const PYPLM& m_;
double operator()(const double& proposed_discount) const {
return m_.log_likelihood(proposed_discount, m_.alpha);
}
};
struct AlphaResampler {
AlphaResampler(const PYPLM& m) : m_(m) {}
const PYPLM& m_;
double operator()(const double& proposed_alpha) const {
return m_.log_likelihood(m_.d, proposed_alpha);
}
};
void resample_hyperparameters(MT19937* rng, const unsigned nloop = 5, const unsigned niterations = 10) {
DiscountResampler dr(*this);
AlphaResampler ar(*this);
for (int iter = 0; iter < nloop; ++iter) {
alpha = slice_sampler1d(ar, alpha, *rng, 0.0,
std::numeric_limits<double>::infinity(), 0.0, niterations, 100*niterations);
d = slice_sampler1d(dr, d, *rng, std::numeric_limits<double>::min(),
1.0, 0.0, niterations, 100*niterations);
}
alpha = slice_sampler1d(ar, alpha, *rng, 0.0,
std::numeric_limits<double>::infinity(), 0.0, niterations, 100*niterations);
typename unordered_map<vector<WordID>, CCRP<WordID>, boost::hash<vector<WordID> > >::iterator it;
cerr << "PYPLM<" << N << ">(d=" << d << ",a=" << alpha << ") = " << log_likelihood(d, alpha) << endl;
for (it = p.begin(); it != p.end(); ++it) {
it->second.set_discount(d);
it->second.set_alpha(alpha);
}
backoff.resample_hyperparameters(rng, nloop, niterations);
}
PYPLM<N-1> backoff;
double discount_a, discount_b, strength_s, strength_r;
double d, alpha;
mutable vector<WordID> lookup; // thread-local
unordered_map<vector<WordID>, CCRP<WordID>, boost::hash<vector<WordID> > > p;
};
int main(int argc, char** argv) {
po::variables_map conf;
InitCommandLine(argc, argv, &conf);
const unsigned samples = conf["samples"].as<unsigned>();
if (conf.count("random_seed"))
prng.reset(new MT19937(conf["random_seed"].as<uint32_t>()));
else
prng.reset(new MT19937);
MT19937& rng = *prng;
vector<vector<WordID> > corpuse;
set<WordID> vocabe;
const WordID kEOS = TD::Convert("</s>");
cerr << "Reading corpus...\n";
CorpusTools::ReadFromFile(conf["train"].as<string>(), &corpuse, &vocabe);
cerr << "E-corpus size: " << corpuse.size() << " sentences\t (" << vocabe.size() << " word types)\n";
vector<vector<WordID> > test;
if (conf.count("test"))
CorpusTools::ReadFromFile(conf["test"].as<string>(), &test);
else
test = corpuse;
PYPLM<kORDER> lm(vocabe.size(),
conf["discount_prior_a"].as<double>(),
conf["discount_prior_b"].as<double>(),
conf["strength_prior_s"].as<double>(),
conf["strength_prior_r"].as<double>());
vector<WordID> ctx(kORDER - 1, TD::Convert("<s>"));
for (int SS=0; SS < samples; ++SS) {
for (int ci = 0; ci < corpuse.size(); ++ci) {
ctx.resize(kORDER - 1);
const vector<WordID>& s = corpuse[ci];
for (int i = 0; i <= s.size(); ++i) {
WordID w = (i < s.size() ? s[i] : kEOS);
if (SS > 0) lm.decrement(w, ctx, &rng);
lm.increment(w, ctx, &rng);
ctx.push_back(w);
}
if (SS > 0) lm.decrement(kEOS, ctx, &rng);
lm.increment(kEOS, ctx, &rng);
}
if (SS % 10 == 9) {
cerr << " [LLH=" << lm.log_likelihood() << "]" << endl;
if (SS % 20 == 19) lm.resample_hyperparameters(&rng);
} else { cerr << '.' << flush; }
}
double llh = 0;
unsigned cnt = 0;
unsigned oovs = 0;
for (int ci = 0; ci < test.size(); ++ci) {
ctx.resize(kORDER - 1);
const vector<WordID>& s = test[ci];
for (int i = 0; i <= s.size(); ++i) {
WordID w = (i < s.size() ? s[i] : kEOS);
double lp = log(lm.prob(w, ctx)) / log(2);
if (i < s.size() && vocabe.count(w) == 0) {
cerr << "**OOV ";
++oovs;
lp = 0;
}
cerr << "p(" << TD::Convert(w) << " |";
for (int j = ctx.size() + 1 - kORDER; j < ctx.size(); ++j)
cerr << ' ' << TD::Convert(ctx[j]);
cerr << ") = " << lp << endl;
ctx.push_back(w);
llh -= lp;
cnt++;
}
}
cerr << " Log_10 prob: " << (-llh * log(2) / log(10)) << endl;
cerr << " Count: " << cnt << endl;
cerr << " OOVs: " << oovs << endl;
cerr << "Cross-entropy: " << (llh / cnt) << endl;
cerr << " Perplexity: " << pow(2, llh / cnt) << endl;
return 0;
}
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