Search Results for author: Vladimir Temlyakov

Found 7 papers, 1 papers with code

Approximation of functions with small mixed smoothness in the uniform norm

no code implementations22 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

Biorthogonal Greedy Algorithms in Convex Optimization

2 code implementations15 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

Sparse approximation by greedy algorithms

no code implementations5 Nov 2015 Vladimir Temlyakov

It is a survey on recent results in constructive sparse approximation.

Dictionary descent in optimization

no code implementations4 Nov 2015 Vladimir Temlyakov

The problem of convex optimization is studied.

Convergence and rate of convergence of some greedy algorithms in convex optimization

no code implementations10 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.

Vocal Bursts Type Prediction

Chebushev Greedy Algorithm in convex optimization

no code implementations4 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.

Sparse approximation and recovery by greedy algorithms in Banach spaces

no code implementations27 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.

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