Run the hierarchical factorization from a dense matrix contained in a file (can be MEG, Hierfact_compare or HADAMARD or other matrix; cf. directory ./misc/data/mat/ for data example). <br>
The precision FPP (Floating Point Precision) can be double or float. <br>
target name : build/demo/run_test/bin/hierarchicalFactorization_FPP <br>
Use this script to make runtime comparison between Faust-vector product and Dense matrix-vector product , this script takes two arguments : <br>
- inputfile Faust_example.mat where all the Fausts with different Density, Dimensions and number of factor are stored.<br>
This input file is generated by test/gen_artificial_faust.m (default input file /home/aleman/WORK/FAUST/faust_v1.10/misc/data/mat/Faust_example.mat)<br>
- parameter NB_run the number multiplication made per given configuration (dimension, number of factor, RCG) (default value 100)<br>
<br>
The different computed times are stored in a single mat file :
Launch_palm4MSA command-line factorizes an input matrix corresponding to an operator of interest into J sparse factors and converges to a stationary point. <br>
target name : wrapper/cmd_line/bin/launch_palm4MSA <br>
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\section Demo Demonstration
\subsection Demo1 Demo 1 : Source localization in the context of functional brain imaging :
Faust was used in a experience of source localization in brain image.<br>
Different FAUST approximation of a Magnetoencephalography (MEG) gain matrix "Mi" was computed using hierarchical_fact.<br>
A SparseCoding algorithm was used to solve this source localization problem using the MEG gain matrix or its FAUST approximation.<br>
The following pictures illustrate the different trade-offs between speed-up and error of localization using MEG matrix or FAUST matrix.<br>
\image html MEG_computed_time.jpg "computing time" width=2cm
\image html MEG_distance.jpg "distance between estimated sources and true ones" width=2cm
in progress...<br>
\subsection Demo2 Demo 2 : Image denoising :
The goal of this demo is to enhancement a noisy image.<br>
in progress...<br>
\section install_sec Installation
See document Faust.pdf to install the toolbox FAµST.
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\authors Adrien Leman, Nicolas Bellot, Thomas Gautrais