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arxiv: 1505.03604 · v1 · pith:AM7XOZXRnew · submitted 2015-05-14 · 🧮 math.NA · cs.NA

Rescaled Pure Greedy Algorithm for Hilbert and Banach Spaces

classification 🧮 math.NA cs.NA
keywords algorithmbanachdictionarygreedyhilbertpureapproximatingclass
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We show that a very simple modification of the Pure Greedy Algorithm for approximating functions by sparse sums from a dictionary in a Hilbert or more generally a Banach space has optimal convergence rates on the class of convex combinations of dictionary elements

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