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Projections into the tree-sparsity model.
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ludwigschmidt/tree_approx
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treeapprox_binsearch installation: build the mex file with make treeapprox_binsearch_mexfile syntax: [support, lambda_low, lambda_high, num_iter] = treeapprox_binsearch(x, d, k_low, k_high, opts) square x if you want a l2 guarantee take abs of x if you want a l1 guarantee d is the degree of the tree the root of the tree is assumed to be at the first element in the row vector x the children are at positions 2, 3, etc. opts is optional. currently it has two fields: - verbose for benchmarking, run with verbose = false - max_num_iterations - tree_layout either wavelet_tree or complete_tree . Use wavelet_tree in conjunction with wavelet coefficients from Matlab's wavedec / wavedec2 function. If you are using wavedec2, make sure to first rearrange the coefficients with rearrange_wavedec2 (also part of this repository). ====================================================== treeexact_fulltable O(k * n) DP with O(k * n * d) memory installation: build the mex file with make treeexact_fulltable_mexfile syntax: support = treeexact_fulltable(x, d, k) square x if you want a l2 guarantee take abs of x if you want a l1 guarantee d is the degree of the tree the root of the tree is assumed to be at the first element in the row vector x the children are at positions 2, 3, etc. ====================================================== treeexact_smalltable O(k * n * log n) DP with O(k * d * log n) memory installation: build the mex file with make treeexact_smalltable_mexfile syntax: support = treeexact_smalltable(x, d, k) square x if you want a l2 guarantee take abs of x if you want a l1 guarantee d is the degree of the tree the root of the tree is assumed to be at the first element in the row vector x the children are at positions 2, 3, etc.
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