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» Rigorous Perturbation Bounds of Some Matrix Factorizations
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COLT
2007
Springer
13 years 11 months ago
Learning Permutations with Exponential Weights
We give an algorithm for the on-line learning of permutations. The algorithm maintains its uncertainty about the target permutation as a doubly stochastic weight matrix, and makes...
David P. Helmbold, Manfred K. Warmuth
JAT
2007
83views more  JAT 2007»
13 years 5 months ago
Characterization and perturbation of Gabor frame sequences with rational parameters
Let A ⊂ L2(R) be at most countable, and p, q ∈ N. We characterize various frame-properties for Gabor systems of the form G(1, p/q,A) = {e2 imxg(x − np/q) : m, n ∈ Z, g ∈...
Marcin Bownik, Ole Christensen
CORR
2008
Springer
92views Education» more  CORR 2008»
13 years 5 months ago
Convex Sparse Matrix Factorizations
We present a convex formulation of dictionary learning for sparse signal decomposition. Convexity is obtained by replacing the usual explicit upper bound on the dictionary size by...
Francis Bach, Julien Mairal, Jean Ponce
ISSAC
2007
Springer
105views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Certification of the QR factor R and of lattice basis reducedness
Given a lattice basis of n vectors in Zn, we propose an algorithm using 12n3 + O(n2) floating point operations for checking whether the basis is LLL-reduced. If the basis is redu...
Gilles Villard
COLT
2010
Springer
13 years 3 months ago
Learning Rotations with Little Regret
We describe online algorithms for learning a rotation from pairs of unit vectors in Rn . We show that the expected regret of our online algorithm compared to the best fixed rotati...
Elad Hazan, Satyen Kale, Manfred K. Warmuth