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Finite Precision Representation of the Conley Decomposition:
 J. Dynam. Differential Equations
, 1998
"... We present a theoretical basis for a novel way of studying and representing the long time behaviour of finite dimensional maps. It is based on a finite representation of fflpseudo orbits of a map by the sample paths of a suitable Markov chain based on a finite partition of phase space. The use ..."
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Cited by 2 (0 self)
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We present a theoretical basis for a novel way of studying and representing the long time behaviour of finite dimensional maps. It is based on a finite representation of fflpseudo orbits of a map by the sample paths of a suitable Markov chain based on a finite partition of phase space. The use
The Contourlet Transform: An Efficient Directional Multiresolution Image Representation
 IEEE TRANSACTIONS ON IMAGE PROCESSING
"... The limitations of commonly used separable extensions of onedimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a “true” twodimensional transform that can capture the intrinsic geometrical structure t ..."
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Cited by 513 (20 self)
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flexible multiresolution, local, and directional image expansion using contour segments, and thus it is named the contourlet transform. The discrete contourlet transform has a fast iterated filter bank algorithm that requires an order N operations for Npixel images. Furthermore, we establish a precise
The DLV System for Knowledge Representation and Reasoning
 ACM Transactions on Computational Logic
, 2002
"... Disjunctive Logic Programming (DLP) is an advanced formalism for knowledge representation and reasoning, which is very expressive in a precise mathematical sense: it allows to express every property of finite structures that is decidable in the complexity class ΣP 2 (NPNP). Thus, under widely believ ..."
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Cited by 456 (102 self)
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Disjunctive Logic Programming (DLP) is an advanced formalism for knowledge representation and reasoning, which is very expressive in a precise mathematical sense: it allows to express every property of finite structures that is decidable in the complexity class ΣP 2 (NPNP). Thus, under widely
Maintaining knowledge about temporal intervals
 COMMUNICATION OF ACM
, 1983
"... The problem of representing temporal knowledge arises in many areas of computer science. In applications in which such knowledge is imprecise or relative, current representations based on date lines or time instants are inadequate. An intervalbased temporal logic is introduced, together WiUl a comp ..."
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Cited by 2942 (13 self)
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The problem of representing temporal knowledge arises in many areas of computer science. In applications in which such knowledge is imprecise or relative, current representations based on date lines or time instants are inadequate. An intervalbased temporal logic is introduced, together WiUl a
Uncertainty principles and ideal atomic decomposition
 IEEE Transactions on Information Theory
, 2001
"... Suppose a discretetime signal S(t), 0 t<N, is a superposition of atoms taken from a combined time/frequency dictionary made of spike sequences 1ft = g and sinusoids expf2 iwt=N) = p N. Can one recover, from knowledge of S alone, the precise collection of atoms going to make up S? Because every d ..."
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Cited by 583 (20 self)
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Suppose a discretetime signal S(t), 0 t<N, is a superposition of atoms taken from a combined time/frequency dictionary made of spike sequences 1ft = g and sinusoids expf2 iwt=N) = p N. Can one recover, from knowledge of S alone, the precise collection of atoms going to make up S? Because every
Learning Decision Lists
, 2001
"... This paper introduces a new representation for Boolean functions, called decision lists, and shows that they are efficiently learnable from examples. More precisely, this result is established for \kDL" { the set of decision lists with conjunctive clauses of size k at each decision. Since k ..."
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Cited by 427 (0 self)
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This paper introduces a new representation for Boolean functions, called decision lists, and shows that they are efficiently learnable from examples. More precisely, this result is established for \kDL" { the set of decision lists with conjunctive clauses of size k at each decision. Since
The Error in the Double Precision Representation of Julian Dates Approved for Public Release
, 2011
"... An evaluation of the error associated with representing Julian dates in IEEE 754 double precision floatingpoint numbers demonstrates that Julian dates near the current epoch can be represented to a precision not worse than 20.1 microseconds. 1 ..."
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An evaluation of the error associated with representing Julian dates in IEEE 754 double precision floatingpoint numbers demonstrates that Julian dates near the current epoch can be represented to a precision not worse than 20.1 microseconds. 1
A rapid hierarchical radiosity algorithm
 Computer Graphics
, 1991
"... This paper presents a rapid hierarchical radiosity algorithm for illuminating scenes containing lar e polygonal patches. The afgorithm constructs a hierarchic“J representation of the form factor matrix by adaptively subdividing patches into su bpatches according to a usersupplied error bound. The a ..."
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Cited by 409 (11 self)
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This paper presents a rapid hierarchical radiosity algorithm for illuminating scenes containing lar e polygonal patches. The afgorithm constructs a hierarchic“J representation of the form factor matrix by adaptively subdividing patches into su bpatches according to a usersupplied error bound
Hamming embedding and weak geometric consistency for large scale image search
 In ECCV
, 2008
"... Abstract. This paper improves recent methods for large scale image search. Stateoftheart methods build on the bagoffeatures image representation. We, first, analyze bagoffeatures in the framework of approximate nearest neighbor search. This shows the suboptimality of such a representation for ..."
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Cited by 330 (35 self)
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for matching descriptors and leads us to derive a more precise representation based on 1) Hamming embedding (HE) and 2) weak geometric consistency constraints (WGC). HE provides binary signatures that refine the matching based on visual words. WGC filters matching descriptors that are not consistent in terms
Improving the Fisher kernel for largescale image classification.
 In ECCV,
, 2010
"... Abstract. The Fisher kernel (FK) is a generic framework which combines the benefits of generative and discriminative approaches. In the context of image classification the FK was shown to extend the popular bagofvisualwords (BOV) by going beyond count statistics. However, in practice, this enric ..."
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Cited by 362 (20 self)
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, this enriched representation has not yet shown its superiority over the BOV. In the first part we show that with several wellmotivated modifications over the original framework we can boost the accuracy of the FK. On PASCAL VOC 2007 we increase the Average Precision (AP) from 47.9% to 58.3%. Similarly, we
Results 1  10
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