diff options
author | Wu, Ke <wuke@cs.umd.edu> | 2014-10-07 18:44:05 -0400 |
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committer | Wu, Ke <wuke@cs.umd.edu> | 2014-10-07 18:44:05 -0400 |
commit | 8c26c195213805face566a6407597ba2a871a122 (patch) | |
tree | 378301ff345bf465f407f1447ad5fe126b3cd47c /utils/owlqn.cpp | |
parent | 6c7bf8cf49db88ca47e5b08aa449032995736854 (diff) |
Move synutils under utils
Diffstat (limited to 'utils/owlqn.cpp')
-rw-r--r-- | utils/owlqn.cpp | 127 |
1 files changed, 127 insertions, 0 deletions
diff --git a/utils/owlqn.cpp b/utils/owlqn.cpp new file mode 100644 index 00000000..c3a0f0da --- /dev/null +++ b/utils/owlqn.cpp @@ -0,0 +1,127 @@ +#include <vector> +#include <iostream> +#include <cmath> +#include <stdio.h> +#include "mathvec.h" +#include "lbfgs.h" +#include "maxent.h" + +using namespace std; + +const static int M = LBFGS_M; +const static double LINE_SEARCH_ALPHA = 0.1; +const static double LINE_SEARCH_BETA = 0.5; + +// stopping criteria +int OWLQN_MAX_ITER = 300; +const static double MIN_GRAD_NORM = 0.0001; + +Vec approximate_Hg(const int iter, const Vec& grad, const Vec s[], + const Vec y[], const double z[]); + +inline int sign(double x) { + if (x > 0) return 1; + if (x < 0) return -1; + return 0; +}; + +static Vec pseudo_gradient(const Vec& x, const Vec& grad0, const double C) { + Vec grad = grad0; + for (size_t i = 0; i < x.Size(); i++) { + if (x[i] != 0) { + grad[i] += C * sign(x[i]); + continue; + } + const double gm = grad0[i] - C; + if (gm > 0) { + grad[i] = gm; + continue; + } + const double gp = grad0[i] + C; + if (gp < 0) { + grad[i] = gp; + continue; + } + grad[i] = 0; + } + + return grad; +} + +double ME_Model::regularized_func_grad(const double C, const Vec& x, + Vec& grad) { + double f = FunctionGradient(x.STLVec(), grad.STLVec()); + for (size_t i = 0; i < x.Size(); i++) { + f += C * fabs(x[i]); + } + + return f; +} + +double ME_Model::constrained_line_search(double C, const Vec& x0, + const Vec& grad0, const double f0, + const Vec& dx, Vec& x, Vec& grad1) { + // compute the orthant to explore + Vec orthant = x0; + for (size_t i = 0; i < orthant.Size(); i++) { + if (orthant[i] == 0) orthant[i] = -grad0[i]; + } + + double t = 1.0 / LINE_SEARCH_BETA; + + double f; + do { + t *= LINE_SEARCH_BETA; + x = x0 + t * dx; + x.Project(orthant); + // for (size_t i = 0; i < x.Size(); i++) { + // if (x0[i] != 0 && sign(x[i]) != sign(x0[i])) x[i] = 0; + // } + + f = regularized_func_grad(C, x, grad1); + // cout << "*"; + } while (f > f0 + LINE_SEARCH_ALPHA * dot_product(x - x0, grad0)); + + return f; +} + +vector<double> ME_Model::perform_OWLQN(const vector<double>& x0, + const double C) { + const size_t dim = x0.size(); + Vec x = x0; + + Vec grad(dim), dx(dim); + double f = regularized_func_grad(C, x, grad); + + Vec s[M], y[M]; + double z[M]; // rho + + for (int iter = 0; iter < OWLQN_MAX_ITER; iter++) { + Vec pg = pseudo_gradient(x, grad, C); + + fprintf(stderr, "%3d obj(err) = %f (%6.4f)", iter + 1, -f, _train_error); + if (_nheldout > 0) { + const double heldout_logl = heldout_likelihood(); + fprintf(stderr, " heldout_logl(err) = %f (%6.4f)", heldout_logl, + _heldout_error); + } + fprintf(stderr, "\n"); + + if (sqrt(dot_product(pg, pg)) < MIN_GRAD_NORM) break; + + dx = -1 * approximate_Hg(iter, pg, s, y, z); + if (dot_product(dx, pg) >= 0) dx.Project(-1 * pg); + + Vec x1(dim), grad1(dim); + f = constrained_line_search(C, x, pg, f, dx, x1, grad1); + + s[iter % M] = x1 - x; + y[iter % M] = grad1 - grad; + z[iter % M] = 1.0 / dot_product(y[iter % M], s[iter % M]); + + x = x1; + grad = grad1; + } + + return x.STLVec(); +} |