no code implementations • 22 Dec 2020 • Vladimir Temlyakov, Tino Ullrich
Our focus will be on the behavior of the best $m$-term trigonometric approximation as well as the decay of Kolmogorov and entropy numbers in the uniform norm.
Functional Analysis Numerical Analysis Numerical Analysis
2 code implementations • 15 Jan 2020 • Anton Dereventsov, Vladimir Temlyakov
We show that the following well-known algorithms for convex optimization -- the Weak Chebyshev Greedy Algorithm (co) and the Weak Greedy Algorithm with Free Relaxation (co) -- belong to this class, and introduce a new algorithm -- the Rescaled Weak Relaxed Greedy Algorithm (co).
Numerical Analysis Numerical Analysis Optimization and Control
no code implementations • 5 Nov 2015 • Vladimir Temlyakov
It is a survey on recent results in constructive sparse approximation.
no code implementations • 4 Nov 2015 • Vladimir Temlyakov
The problem of convex optimization is studied.
no code implementations • 10 Dec 2014 • Vladimir Temlyakov
The paper gives a systematic study of the approximate versions of three greedy-type algorithms that are widely used in convex optimization.
no code implementations • 4 Dec 2013 • Vladimir Temlyakov
Chebyshev Greedy Algorithm is a generalization of the well known Orthogonal Matching Pursuit defined in a Hilbert space to the case of Banach spaces.
no code implementations • 27 Mar 2013 • Vladimir Temlyakov
We prove the Lebesgue-type inequalities for the Weak Chebyshev Greedy Algorithm (WCGA), a generalization of the Weak Orthogonal Matching Pursuit to the case of a Banach space.