K-SVD matlab

这篇博客分享了如何使用MATLAB实现K-SVD算法。通过提供的链接,读者可以下载示例代码并了解详细步骤。

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function [Dictionary,output] = KSVD(...
    Data,... % an nXN matrix that contins N signals (Y), each of dimension n.
    param)
% =========================================================================
%                          K-SVD algorithm
% =========================================================================
% The K-SVD algorithm finds a dictionary for linear representation of
% signals. Given a set of signals, it searches for the best dictionary that
% can sparsely represent each signal. Detailed discussion on the algorithm
% and possible applications can be found in "The K-SVD: An Algorithm for 
% Designing of Overcomplete Dictionaries for Sparse Representation", written
% by M. Aharon, M. Elad, and A.M. Bruckstein and appeared in the IEEE Trans. 
% On Signal Processing, Vol. 54, no. 11, pp. 4311-4322, November 2006. 
% =========================================================================
% INPUT ARGUMENTS:
% Data                         an nXN matrix that contins N signals (Y), each of dimension n. 
% param                        structure that includes all required
%                                 parameters for the K-SVD execution.
%                                 Required fields are:
%    K, ...                    the number of dictionary elements to train
%    numIteration,...          number of iterations to perform.
%    errorFlag...              if =0, a fix number of coefficients is
%                                 used for representation of each signal. If so, param.L must be
%                                 specified as the number of representing atom. if =1, arbitrary number
%                                 of atoms represent each signal, until a specific representation error
%                                 is reached. If so, param.errorGoal must be specified as the allowed
%                                 error.
%    preserveDCAtom...         if =1 then the first atom in the dictionary
%                                 is set to be constant, and does not ever change. This
%                                 might be useful for working with natural
%                                 images (in this case, only param.K-1
%                                 atoms are trained).
%    (optional, see errorFlag) L,...                 % maximum coefficients to use in OMP coefficient calculations.
%    (optional, see errorFlag) errorGoal, ...        % allowed representation error in representing each signal.
%    InitializationMethod,...  mehtod to initialize the dictionary, can
%                                 be one of the following arguments: 
%           
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