From 8070dc963753142bb86c4ed698d91fd623ed28e7 Mon Sep 17 00:00:00 2001 From: ziejd2 Date: Thu, 28 Sep 2017 15:04:40 -0500 Subject: BNW using Octave instead of Matlab. This version of BNW should perform the same as the original version. The only difference is that it uses Octave instead of Matlab when running BayesNet Toolbox during parameter learning. I am calling this BNW_1.02. It can be accessed at: compbio.uthsc.edu/BNW_1.02 --- sourcecodes/bnt-master/netlab3.3/gpgrad.m | 100 ++++++++++++++++++++++++++++++ 1 file changed, 100 insertions(+) create mode 100644 sourcecodes/bnt-master/netlab3.3/gpgrad.m (limited to 'sourcecodes/bnt-master/netlab3.3/gpgrad.m') diff --git a/sourcecodes/bnt-master/netlab3.3/gpgrad.m b/sourcecodes/bnt-master/netlab3.3/gpgrad.m new file mode 100644 index 00000000..7ea531bc --- /dev/null +++ b/sourcecodes/bnt-master/netlab3.3/gpgrad.m @@ -0,0 +1,100 @@ +function g = gpgrad(net, x, t) +%GPGRAD Evaluate error gradient for Gaussian Process. +% +% Description +% G = GPGRAD(NET, X, T) takes a Gaussian Process data structure NET +% together with a matrix X of input vectors and a matrix T of target +% vectors, and evaluates the error gradient G. Each row of X +% corresponds to one input vector and each row of T corresponds to one +% target vector. +% +% See also +% GP, GPCOVAR, GPFWD, GPERR +% + +% Copyright (c) Ian T Nabney (1996-2001) + +errstring = consist(net, 'gp', x, t); +if ~isempty(errstring); + error(errstring); +end + +% Evaluate derivatives with respect to each hyperparameter in turn. +ndata = size(x, 1); +[cov, covf] = gpcovar(net, x); +cninv = inv(cov); +trcninv = trace(cninv); +cninvt = cninv*t; + +% Function parameters +switch net.covar_fn + + case 'sqexp' % Squared exponential + gfpar = trace(cninv*covf) - cninvt'*covf*cninvt; + + case 'ratquad' % Rational quadratic + beta = diag(exp(net.inweights)); + gfpar(1) = trace(cninv*covf) - cninvt'*covf*cninvt; + D2 = (x.*x)*beta*ones(net.nin, ndata) - 2*x*beta*x' ... + + ones(ndata, net.nin)*beta*(x.*x)'; + E = ones(size(D2)); + L = - exp(net.fpar(2)) * covf .* log(E + D2); % d(cn)/d(nu) + gfpar(2) = trace(cninv*L) - cninvt'*L*cninvt; + + otherwise + error(['Unknown covariance function ', net.covar_fn]); +end + +% Bias derivative +ndata = size(x, 1); +fac = exp(net.bias)*ones(ndata); +gbias = trace(cninv*fac) - cninvt'*fac*cninvt; + +% Noise derivative +gnoise = exp(net.noise)*(trcninv - cninvt'*cninvt); + +% Input weight derivatives +if strcmp(net.covar_fn, 'ratquad') + F = (exp(net.fpar(2))*E)./(E + D2); +end + +nparams = length(net.inweights); +for l = 1 : nparams + vect = x(:, l); + matx = (vect.*vect)*ones(1, ndata) ... + - 2.0*vect*vect' ... + + ones(ndata, 1)*(vect.*vect)'; + switch net.covar_fn + case 'sqexp' % Squared exponential + dmat = -0.5*exp(net.inweights(l))*covf.*matx; + + case 'ratquad' % Rational quadratic + dmat = - exp(net.inweights(l))*covf.*matx.*F; + otherwise + error(['Unknown covariance function ', net.covar_fn]); + end + + gw1(l) = trace(cninv*dmat) - cninvt'*dmat*cninvt; +end + +g1 = [gbias, gnoise, gw1, gfpar]; +g1 = 0.5*g1; + +% Evaluate the prior contribution to the gradient. +if isfield(net, 'pr_mean') + w = gppak(net); + m = repmat(net.pr_mean, size(w)); + if size(net.pr_mean) == [1 1] + gprior = w - m; + g2 = gprior/net.pr_var; + else + ngroups = size(net.pr_mean, 1); + gprior = net.index'.*(ones(ngroups, 1)*w - m); + g2 = (1./net.pr_var)'*gprior; + end +else + gprior = 0; + g2 = 0; +end + +g = g1 + g2; -- cgit 1.4.1