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Separating learning and representation
1996Two 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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Compact Representations of Separable Graphs
2018We 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
Daniel K. Blandford +2 more
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The Separable Representations of U(H)
Proceedings of the American Mathematical Society, 1988Let 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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An additively separable representation in the Savage framework [PDF]
Journal of Economic Theory, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Separated monic representations II: Frobenius subcategories and RSS equivalences
Transactions of the American Mathematical Society, 2017This paper aims at looking for Frobenius subcategories, via the separated monomorphism category ${\rm smon}(Q, I, \x)$, and on the other hand, to establish an {\rm RSS} equivalence from ${\rm smon}(Q, I, \x)$ to its dual ${\rm sepi}(Q, I, \x)$.
Pu Zhang, Bao-Lin Xiong
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Towards Clustering-friendly Representations: Subspace Clustering via Graph Filtering
ACM Multimedia, 2020Finding 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 +4 more
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Person Search by Separated Modeling and A Mask-Guided Two-Stream CNN Model
IEEE Transactions on Image Processing, 2020In 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 +4 more
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Graphs that have separator tree representations
Australas. J Comb., 2021Summary: Separator trees are defined much like the clique trees that underlie chordal graph theory, except that separator trees are formed from minimal vertex separators instead of maximal complete subgraphs. The graphs \(G\) that have separator trees can be characterized using the maximal complete subgraphs of an auxiliary graph that is formed by ...
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Hippocampal representations as a function of time, subregion, and brain state
Neurobiology of Learning and Memory, 2018HighlightsHippocampal representations highlight shared or distinctive features of experiences.Preferred representations vary by subfield, neuronal excitability and neuromodulation.DG separates to support memory precision, while CA1 integrates for ...
K. Duncan, M. Schlichting
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The Somatosensory Mismatch Negativity as a Window into Body Representations in Infancy
International Journal of Psychophysiology, 2018How the body is represented in the developing brain is a topic of growing interest. The current study takes a novel approach to investigating neural body representations in infants by recording somatosensory mismatch negativity (sMMN) responses elicited ...
Guannan Shen +3 more
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