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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 4, Pages 228–236 (Mi timm656)  

Realizability of greedy algorithms

E. D. Livshits

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Abstract: A purely greedy algorithm and an orthogonally greedy algorithm are studied. It is established that the set of objective functions for which a greedy algorithm can be realized properly has second category for discrete dictionaries.
Keywords: best m-term approximation, greedy algorithms, category.
Received: 29.12.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 273, Issue 1, Pages S107–S115
DOI: https://doi.org/10.1134/S0081543811050117
Bibliographic databases:
Document Type: Article
UDC: 517.518.8+519.651.3
Language: Russian
Citation: E. D. Livshits, “Realizability of greedy algorithms”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 228–236; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S107–S115
Citation in format AMSBIB
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\pages 228--236
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