Mercurial > hg > camir-aes2014
diff toolboxes/FullBNT-1.0.7/netlabKPM/glmhess_weighted.m @ 0:e9a9cd732c1e tip
first hg version after svn
author | wolffd |
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date | Tue, 10 Feb 2015 15:05:51 +0000 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/toolboxes/FullBNT-1.0.7/netlabKPM/glmhess_weighted.m Tue Feb 10 15:05:51 2015 +0000 @@ -0,0 +1,57 @@ +function [h, hdata] = glmhess_weighted(net, x, t, eso_w, hdata) +%GLMHESS Evaluate the Hessian matrix for a generalised linear model. +% +% Description +% H = GLMHESS(NET, X, T) takes a GLM network data structure NET, a +% matrix X of input values, and a matrix T of target values and returns +% the full Hessian matrix H corresponding to the second derivatives of +% the negative log posterior distribution, evaluated for the current +% weight and bias values as defined by NET. Note that the target data +% is not required in the calculation, but is included to make the +% interface uniform with NETHESS. For linear and logistic outputs, the +% computation is very simple and is done (in effect) in one line in +% GLMTRAIN. +% +% See also +% GLM, GLMTRAIN, HESSCHEK, NETHESS +% +% Copyright (c) Ian T Nabney (1996-9) + +% Check arguments for consistency +errstring = consist(net, 'glm', x, t); +if ~isempty(errstring); + error(errstring); +end + +ndata = size(x, 1); +nparams = net.nwts; +nout = net.nout; +p = glmfwd(net, x); +inputs = [x ones(ndata, 1)]; + +if nargin == 4 + hdata = zeros(nparams); % Full Hessian matrix + % Calculate data component of Hessian + switch net.outfn + + case 'softmax' + bb_start = nparams - nout + 1; % Start of bias weights block + ex_hess = zeros(nparams); % Contribution to Hessian from single example + for m = 1:ndata + X = x(m,:)'*x(m,:); + a = diag(p(m,:))-((p(m,:)')*p(m,:)); + a=eso_w(m,1)*a; + ex_hess(1:nparams-nout,1:nparams-nout) = kron(a, X); + ex_hess(bb_start:nparams, bb_start:nparams) = a.*ones(net.nout, net.nout); + temp = kron(a, x(m,:)); + ex_hess(bb_start:nparams, 1:nparams-nout) = temp; + ex_hess(1:nparams-nout, bb_start:nparams) = temp'; + hdata = hdata + ex_hess; + end + + otherwise + error(['Unknown activation function ', net.actfn]); + end +end + +[h, hdata] = hbayes(net, hdata);