Results 281 to 290 of about 3,702,049 (302)

Separable Representations of Rings of Operators

The Annals of Mathematics, 1957
Let A be a ring of operators (i.e., a weakly closed self-adjoint algebra of operators containing the identity) in a Hilbert space H. By a representation of A we understand an algebraic *-homomorphism ? of A into the algebra of all bounded operators on some Hilbert space K, which carries the identity into the identity operator.
Feldman, J., Fell, J. M. G.
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Separating learning and representation

1996
Two of the most promising aspects of connectionist natural language research have been (i) the use of powerful statistical learning techniques to model language learning and (ii) the development of new representational theories. Often the two are treated together; some part of a grammar is induced by a net and the subsequent representations are ...
Noel E. Sharkey, Amanda J. C. Sharkey
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Faithful Representation of Separable Distributions

Neural Computation, 1997
A geometric approach to data representation incorporating information theoretic ideas is presented. The task of finding a faithful representation, where the input distribution is evenly partitioned into regions of equal mass, is addressed. For input consisting of mixtures of statistically independent sources, we treat independent component analysis ...
Juan K. Lin, David G. Grier, Jack D. Cowan   +2 more
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The Separable Representations of U(H)

Proceedings of the American Mathematical Society, 1988
Let H be a separable infinite-dimensional Hilbert space. Denote U(H) the unitary group of H, provided with the operator norm topology. By a result of Kadison, U(H) has a, up to complex scalars, unique closed normal subgroup \(U(H)_{\infty}\) consisting of unitary operators U of the form \(U=I+T\) with T a compact operator.
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Towards Clustering-friendly Representations: Subspace Clustering via Graph Filtering

ACM Multimedia, 2020
Finding a suitable data representation for a specific task has been shown to be crucial in many applications. The success of subspace clustering depends on the assumption that the data can be separated into different subspaces.
Zhengrui Ma, Zhao Kang, Guangchun Luo, Ling Tian, Wenyu Chen   +4 more
semanticscholar   +1 more source

Person Search by Separated Modeling and A Mask-Guided Two-Stream CNN Model

IEEE Transactions on Image Processing, 2020
In this work, we tackle the problem of person search, which is a challenging task consisted of pedestrian detection and person re-identification (re-ID).
Di Chen, Shanshan Zhang, Wanli Ouyang, Jian Yang, Ying Tai   +4 more
semanticscholar   +1 more source

Compact Representations of Separable Graphs

1986
We consider the problem of representing graphs compactly while supporting queries efficiently. In particular we describe a data structure for representing n-vertex unlabeled graphs that satisfy an O(nc)-separator theorem, c < 1. The structure uses O(n) bits, and supports adjacency and degree queries in constant time, and neighbor listing in constant
Blandford, Daniel K., Blelloch, Guy E., Kash, Ian A.   +2 more
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Analysis of Sparse Representation and Blind Source Separation

Neural Computation, 2004
In this letter, we analyze a two-stage cluster-then-l1-optimization approach for sparse representation of a data matrix, which is also a promising approach for blind source separation (BSS) in which fewer sensors than sources are present. First, sparse representation (factorization) of a data matrix is discussed. For a given overcomplete basis matrix,
Li, Yuanqing, Cichocki, Andrzej, Amari, Shun-ichi   +2 more
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Minimal Lower Separable Representations: Characterization and Construction

1989
A ``lower (triangular) separable representation'' of an \(n\times m\) matrix function k defined on the square [a,b]\(\times [a,b]\) consists of an \(n\times p\) matrix function f and a \(p\times m\) matrix function g defined on [a,b], such that \(k(s,t)=f(t)g(s)\) on the triangle \(a\leq s\leq t\leq b\).
Kaashoek, M. A., Woerdeman, H. J.
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Separable Representations of Two-Body Interactions

Physical Review C, 1973
Consideration is given to the approximation in which an arbitrary potential is replaced by a separable potential. A method is presented which permits the construction of a rank-$N$ separable potential which has the property that the resulting $T$ matrix is exact on the energy shell and half off the energy shell at $N$ selected bound state and/or ...
D. J. Ernst, C. M. Shakin, R. M. Thaler
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