Greedy Algorithms for Optimal Distribution Approximation
The approximation of a discrete probability distribution t by an M-type distribution p is considered. The approximation error is measured by the informational divergence D ( t ∥ p ) , which is an appropriate measure, e.g., in the ...
Bernhard C. Geiger, Georg Böcherer
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Simultaneous optimized orthogonal matching pursuit with application to ECG compression. [PDF]
A greedy pursuit strategy which finds a common basis for approximating a set of similar signals is proposed. The strategy extends the Optimized Orthogonal Matching Pursuit approach to selecting the subspace containing the approximation of all the signals
Laura Rebollo-Neira
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Maximizing Nash Social Welfare Based on Greedy Algorithm and Estimation of Distribution Algorithm [PDF]
The Nash social welfare (NSW) problem is relevant not only to the economic domain but also extends its applicability to the field of computer science. However, maximizing Nash social welfare is an APX-hard problem.
Weizhi Liao +4 more
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On the convergence of the order-preserving weak greedy algorithm for subspaces generated by the Szego kernel in the Hardy space [PDF]
In this article we consider representing properties of subspaces generated by the Szego kernel. We examine under which conditions on the sequence of points of the unit disk the order-preserving weak greedy algorithm for appropriate subspaces generated by
Speransky, Konstantin Sergeevich
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Approximation Ratios of RePair, LongestMatch and Greedy on Unary Strings
A grammar-based compressor is an algorithm that receives a word and outputs a context-free grammar that only produces this word. The approximation ratio for a single input word is the size of the grammar produced for this word divided by the size of a ...
Danny Hucke, Carl Philipp Reh
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On the Rate of Convergence of Greedy Algorithms
In this paper, a new criterion for the evaluation of the theoretical efficiency of a greedy algorithm is suggested. Using this criterion, we prove some results on the rate of convergence of greedy algorithms, which provide expansions.
Vladimir Temlyakov
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Approximate Weak Greedy Algorithms [PDF]
We present a generalization of V. Temlyakov's weak greedy algorithm, and give a sufficient condition for norm convergence of the algorithm for an arbitrary dictionary in a Hilbert space. We provide two counter-examples to show that the condition cannot be relaxed for general dictionaries.
Gribonval, Rémi, Nielsen, Morten
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Sharp conditions for the convergence of greedy expansions with prescribed coefficients
Greedy expansions with prescribed coefficients were introduced by V. N. Temlyakov in a general case of Banach spaces. In contrast to Fourier series expansions, in greedy expansions with prescribed coefficients, a sequence of coefficients {cn}n=1∞{\left\{{
Valiullin Artur R., Valiullin Albert R.
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Approximation Properties of the Vector Weak Rescaled Pure Greedy Algorithm
We first study the error performances of the Vector Weak Rescaled Pure Greedy Algorithm for simultaneous approximation with respect to a dictionary D in a Hilbert space.
Xu Xu +3 more
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Unified Greedy Approximability beyond Submodular Maximization
We consider classes of objective functions of cardinality constrained maximization problems for which the greedy algorithm guarantees a constant approximation. We propose the new class of $γ$-$α$-augmentable functions and prove that it encompasses several important subclasses, such as functions of bounded submodularity ratio, $α$-augmentable functions,
Yann Disser, David Weckbecker
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