diff examples/SMALL_solver_test.m @ 1:7750624e0c73 version0.5

(none)
author idamnjanovic
date Thu, 05 Nov 2009 16:36:01 +0000
parents
children 2d7d8736ce6c
line wrap: on
line diff
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/examples/SMALL_solver_test.m	Thu Nov 05 16:36:01 2009 +0000
@@ -0,0 +1,129 @@
+function SMALL_solver_test
+%   Example test of solvers from different toolboxes on Sparco compressed
+%   sensing problems
+%
+%   The main purpose of this example is to show how to use SMALL structure
+%   to solve SPARCO compressed sensing problems (1-11) and compare results
+%   from different solvers.
+%   To generate SMALL.Problem part of structure you can use generateProblem
+%   function from Sparco toolbox giving the problem number and any
+%   additional parameters you might want to change. Alternatively, you can
+%   might want to consult sparco documentation to write a problem by
+%   yourself. There are four fields the must be specified in SMALL.Problem 
+%   - A, b, sizeA and reconstruct.
+%   
+%   To generate SMALL.solver part of the structure you must specify three
+%   fields:
+%   
+%       SMALL.solver.toolbox - string with toolbox name is needed because
+%                              different toolboxes are calling solver 
+%                              functions in different ways.
+%       SMALL.solver.name - its string representing solver name (e.g.
+%                           SolveOMP)
+%       SMALL.solver.param - string that contains optional parameters for
+%                            particular solver (all parameters you want to
+%                            specify except A, b and size of solution)
+%                            
+%   Every call to SMALL_solve function will generate following output:
+%
+%       SMALL.solver.solution - contains solution vector x
+%       SMALL.solver.reconstructed - vector containing signal reconstructed
+%                                    from the solution
+%       SMALL.solver.time - time that solver spent to find the solution
+%           
+%   SMALL_plot function plots the SMALL.solver.solution and reconstructed
+%   against original signal.
+%   
+%   In this particular example we are testing SMALL_cgp, SMALL_chol, 
+%   SolveOMP form SparseLab and greed_pcgp form Sparsify against "PROB006  
+%   Daubechies basis, Gaussian ensemble measurement basis, piecewise cubic 
+%   polynomial signal" from Sparco. 
+%   
+%
+%   Ivan Damnjanovic 2009%
+% 
+%   SPARCO Copyright 2008, Ewout van den Berg and Michael P. Friedlander
+%   http://www.cs.ubc.ca/labs/scl/sparco
+%   $Id: exGPSR.m 1040 2008-06-26 20:29:02Z ewout78 $
+
+fprintf('\n\nExample test of SMALL solver against their counterparts on Sparco problems.\n\n');
+
+%%
+% Generate SPARCO problem 
+  
+global SMALL
+SMALL.Problem = generateProblem(6, 'P', 6, 'm', 270,'n',1024, 'show');
+%%
+
+%%
+% SMALL Conjugate Gradient test 
+
+SMALL.solver.toolbox='SMALL';    
+SMALL.solver.name='SMALL_cgp';
+
+% In the following string all parameters except matrix, measurement vector
+% and size of solution need to be specified. If you are not sure which
+% parameters are needed for particular solver type "help <Solver name>" in
+% MATLAB command line
+
+SMALL.solver.param='200, 1e-14';
+
+SMALL=SMALL_solve(SMALL);
+
+
+SMALL_plot(SMALL);
+
+%%
+% SMALL OMP with Cholesky update test 
+
+SMALL.solver.toolbox='SMALL';    
+SMALL.solver.name='SMALL_chol';
+
+% In the following string all parameters except matrix, measurement vector
+% and size of solution need to be specified. If you are not sure which
+% parameters are needed for particular solver type "help <Solver name>" in
+% MATLAB command line
+
+SMALL.solver.param='200, 1e-14';
+
+SMALL=SMALL_solve(SMALL);
+
+SMALL_plot(SMALL);
+%%
+% SolveOMP from SparseLab test 
+
+SMALL.solver.toolbox='SparseLab';  
+SMALL.solver.name='SolveOMP';
+
+% In the following string all parameters except matrix, measurement vector
+% and size of solution need to be specified. If you are not sure which
+% parameters are needed for particular solver type "help <Solver name>" in
+% MATLAB command line
+
+SMALL.solver.param='200, 0, 0, 0, 1e-14';
+
+SMALL=SMALL_solve(SMALL);
+
+SMALL_plot(SMALL);
+  
+%%
+% greed_pcgp from Sparsify test 
+
+SMALL.solver.toolbox='Sparsify';  
+SMALL.solver.name='greed_pcgp';
+
+% In the following string all parameters except matrix, measurement vector
+% and size of solution need to be specified. If you are not sure which
+% parameters are needed for particular solver type "help <Solver name>" in
+% MATLAB command line
+
+SMALL.solver.param='''stopCrit'', ''M'', ''stopTol'', 200';
+
+SMALL=SMALL_solve(SMALL);
+
+SMALL_plot(SMALL);
+  
+%%  
+  
+ 
+end % function SMALL_solver_test