Hadamard dictionary

This demo hierarchically factorizes the Hadamard dictionary and then plots the results in the following Figures. This essentially reproduces figure 1 from [1].

This demo makes some time comparison between (Hadamard matrix)-vector multiplication and (Hadamard factorisation i.e a FAµST)-vector multiplication for different dimensions of the Hadamard matrix.

	These demos are easily reproducible with: # pyfaust >>> from pyfaust.demo import hadamard >>> hadamard.run_speedup_hadamard() >>> hadamard.fig_speedup_hadamard() # figures are in pyfaust_demo_figures See also the API doc % matfaust >> import matfaust.demo.hadamard >> hadamard.speed_up_hadamard() % figures are in Figures directory See also the API doc

 

[1] Le Magoarou L. and Gribonval R., “Flexible multi-layer sparse approximations of matrices and applications”, Journal of Selected Topics in Signal Processing, 2016.