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Bregman divergence

Known as: Bregman, Bregman distance, Divergence (disambiguation) 
In mathematics, a Bregman divergence or Bregman distance is similar to a metric, but does not satisfy the triangle inequality nor symmetry. There are… Expand
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Highly Cited
2010
Highly Cited
2010
The regularization principals [31] lead approximation schemes to deal with various learning problems, e.g., the regularization of… Expand
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Highly Cited
2010
Highly Cited
2010
The restoration of blurred images corrupted by Poisson noise is an important task in various applications such as astronomical… Expand
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Highly Cited
2010
Highly Cited
2010
This paper introduces a novel algorithm to approximate the matrix with minimum nuclear norm among all matrices obeying a set of… Expand
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Highly Cited
2009
Highly Cited
2009
In this paper, we study low-rank matrix nearness problems, with a focus on learning low-rank positive semidefinite (kernel… Expand
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Highly Cited
2009
Highly Cited
2009
  • S. Amari
  • IEEE Transactions on Information Theory
  • 2009
  • Corpus ID: 16992717
A divergence measure between two probability distributions or positive arrays (positive measures) is a useful tool for solving… Expand
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Highly Cited
2007
Highly Cited
2007
This paper discusses a new class of matrix nearness problems that measure approximation error using a directed distance measure… Expand
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Highly Cited
2007
Highly Cited
2007
The Voronoi diagram of a finite set of objects is a fundamental geometric structure that subdivides the embedding space into… Expand
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Highly Cited
2005
Highly Cited
2005
A wide variety of distortion functions, such as squared Euclidean distance, Mahalanobis distance, Itakura-Saito distance and… Expand
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Highly Cited
2005
Highly Cited
2005
Nonnegative matrix approximation (NNMA) is a recent technique for dimensionality reduction and data analysis that yields a parts… Expand
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Highly Cited
2004
Highly Cited
2004
Co-clustering is a powerful data mining technique with varied applications such as text clustering, microarray analysis and… Expand
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