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6,810
Multivariance as a crucial property of microcosm
, 2008
"... The conventional method of a generalized geometry construction, based on deduction of all propositions of the geometry from axioms, appears to be imperfect in the sense, that multivariant geometries cannot be constructed by means of this method. Multivariant geometry is such a geometry, where at the ..."
Abstract
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Cited by 5 (0 self)
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is intransitive, in general. It is a reason, why the multivariant geometries cannot be deduced from a system of axioms. However, the space-time geometry in microcosm is multivariant. In general, the multivariance is a property of the particle dynamics in microcosm, which is observed experimentally. Multivariance
Decoding by Linear Programming
, 2004
"... This paper considers the classical error correcting problem which is frequently discussed in coding theory. We wish to recover an input vector f ∈ Rn from corrupted measurements y = Af + e. Here, A is an m by n (coding) matrix and e is an arbitrary and unknown vector of errors. Is it possible to rec ..."
Abstract
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Cited by 1399 (16 self)
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in this paper improve on our earlier work [5]. Finally, underlying the success of ℓ1 is a crucial property we call the uniform uncertainty principle that we shall describe in detail.
Divergence measures based on the Shannon entropy
- IEEE Transactions on Information theory
, 1991
"... Abstract-A new class of information-theoretic divergence measures based on the Shannon entropy is introduced. Unlike the well-known Kullback divergences, the new measures do not require the condition of absolute continuity to be satisfied by the probability distributions in-volved. More importantly, ..."
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Cited by 666 (0 self)
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, their close relationship with the variational distance and the probability of misclassification error are established in terms of bounds. These bounds are crucial in many applications of divergence measures. The new measures are also well characterized by the properties of nonnegativity, finiteness
Axiomatic quantum field theory in curved spacetime
, 2008
"... The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary globa ..."
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Cited by 689 (18 self)
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The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary
Group formation in large social networks: membership, growth, and evolution
- IN KDD ’06: PROCEEDINGS OF THE 12TH ACM SIGKDD INTERNATIONAL CONFERENCE ON KNOWLEDGE DISCOVERY AND DATA MINING
, 2006
"... The processes by which communities come together, attract new members, and develop over time is a central research issue in the social sciences — political movements, professional organizations, and religious denominations all provide fundamental examples of such communities. In the digital domain, ..."
Abstract
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Cited by 496 (19 self)
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: friendship links and community membership on LiveJournal, and co-authorship and conference publications in DBLP. Both of these datasets provide explicit user-defined communities, where conferences serve as proxies for communities in DBLP. We study how the evolution of these communities relates to properties
STATEMATE: A Working Environment for the Development of Complex Reactive Systems
- IEEE Transactions on Software Engineering
, 1990
"... This paper provides an overview of the STATEMATE system, constructed over the past several years by the authors and their colleagues at Ad Cad Ltd., the R&D subsidiary of i-Logix, Inc. STATEMATE is a set of tools, with a heavy graphical orientation, in- tended for the specification, analysis, d ..."
Abstract
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Cited by 485 (7 self)
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novelty of STATEMATE is in the fact that it "understands " the entire descriptions perfectly, to the point of being able to analyze them for crucial dynamic properties, to carry out rigorous ex- ecutions and simulations of the described system, and to create run- ning code automatically
Locality Preserving Projection,"
- Neural Information Processing System,
, 2004
"... Abstract Many problems in information processing involve some form of dimensionality reduction. In this paper, we introduce Locality Preserving Projections (LPP). These are linear projective maps that arise by solving a variational problem that optimally preserves the neighborhood structure of the ..."
Abstract
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Cited by 414 (16 self)
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Projections are obtained by finding the optimal linear approximations to the eigenfunctions of the Laplace Beltrami operator on the manifold. As a result, LPP shares many of the data representation properties of nonlinear techniques such as Laplacian Eigenmaps or Locally Linear Embedding. Yet LPP is linear
Pretense and representation: The origins of a theory of mind
- Psychol. Rev
, 1987
"... One of the major developments of the second year of human life is the emergence of the ability to pretend. A child's knowledge of a real situation is apparently contradicted and distorted by pretense. If, as generally assumed, the child is just beginning to construct a system for internally rep ..."
Abstract
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Cited by 413 (14 self)
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of pretend play and three crucial logical properties of mental stale expressions in language. This isomorphism points to a common underlying form of internal representation that is here called metarepresenta-tion. A performance model, the decoupler, is outlined embodying ideas about how an infant might
I Tube, You Tube, Everybody Tubes: Analyzing the World’s Largest User Generated Content Video System
- In Proceedings of the 5th ACM/USENIX Internet Measurement Conference (IMC’07
, 2007
"... User Generated Content (UGC) is re-shaping the way people watch video and TV, with millions of video producers and consumers. In particular, UGC sites are creating new viewing patterns and social interactions, empowering users to be more creative, and developing new business opportunities. To better ..."
Abstract
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Cited by 373 (7 self)
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statistical properties of requests and their relationship with video age, and the level of content aliasing or of illegal content in the system. We also provide insights on the potential for more efficient UGC VoD systems (e.g. utilizing P2P techniques or making better use of caching). Finally, we discuss
Matching as Nonparametric Preprocessing for Reducing Model Dependence
- in Parametric Causal Inference,” Political Analysis
, 2007
"... Although published works rarely include causal estimates from more than a few model specifications, authors usually choose the presented estimates from numerous trial runs readers never see. Given the often large variation in estimates across choices of control variables, functional forms, and other ..."
Abstract
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Cited by 334 (46 self)
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or even define statistical properties like unbiasedness or mean squared error when no unique model or estimator even exists? Matching methods, which offer the promise of causal inference with fewer assumptions, constitute one possible way forward, but crucial results in this fast-growing methodological
Results 1 - 10
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6,810
