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11,533
GAUGE INVARIANT PROPERTIES OF ABELIAN MONOPOLES
, 1998
"... Using a renormalization group motivated smoothing technique, we investigate the large scale structure of lattice configurations at finite temperature, concentrating on Abelian monopoles identified in the maximally Abelian, the Laplacian Abelian, and the Polyakov gauge. Monopoles are mostly found in ..."
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in regions of large action and topological charge, rather independent of the gauge chosen to detect them. Gauge invariant properties around Abelian monopoles, the local nonAbelian action and topological density, are studied. We show that the local averages of these densities along the monopole trajectories
Shiftable Multiscale Transforms
, 1992
"... Orthogonal wavelet transforms have recently become a popular representation for multiscale signal and image analysis. One of the major drawbacks of these representations is their lack of translation invariance: the content of wavelet subbands is unstable under translations of the input signal. Wavel ..."
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Cited by 562 (36 self)
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Orthogonal wavelet transforms have recently become a popular representation for multiscale signal and image analysis. One of the major drawbacks of these representations is their lack of translation invariance: the content of wavelet subbands is unstable under translations of the input signal
The use of the area under the ROC curve in the evaluation of machine learning algorithms
 PATTERN RECOGNITION
, 1997
"... In this paper we investigate the use of the area under the receiver operating characteristic (ROC) curve (AUC) as a performance measure for machine learning algorithms. As a case study we evaluate six machine learning algorithms (C4.5, Multiscale Classifier, Perceptron, Multilayer Perceptron, kNe ..."
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Cited by 685 (3 self)
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Nearest Neighbours, and a Quadratic Discriminant Function) on six "real world " medical diagnostics data sets. We compare and discuss the use of AUC to the more conventional overall accuracy and find that AUC exhibits a number of desirable properties when compared to overall accuracy: increased
Robust wide baseline stereo from maximally stable extremal regions
 In Proc. BMVC
, 2002
"... The widebaseline stereo problem, i.e. the problem of establishing correspondences between a pair of images taken from different viewpoints is studied. A new set of image elements that are put into correspondence, the so called extremal regions, is introduced. Extremal regions possess highly desir ..."
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Cited by 1016 (35 self)
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sirable properties: the set is closed under 1. continuous (and thus projective) transformation of image coordinates and 2. monotonic transformation of image intensities. An efficient (near linear complexity) and practically fast detection algorithm (near frame rate) is presented for an affinelyinvariant stable
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
On Sums of Locally Testable Affine Invariant Properties
"... Affineinvariant properties are an abstract class of properties that generalize some central algebraic ones, such as linearity and lowdegreeness, that have been studied extensively in the context of property testing. Affine invariant properties consider functions mapping a big field Fqn to the sub ..."
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Cited by 9 (7 self)
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Affineinvariant properties are an abstract class of properties that generalize some central algebraic ones, such as linearity and lowdegreeness, that have been studied extensively in the context of property testing. Affine invariant properties consider functions mapping a big field Fqn
Recognitionbycomponents: A theory of human image understanding
 Psychological Review
, 1987
"... The perceptual recognition of objects is conceptualized to be a process in which the image of the input is segmented at regions of deep concavity into an arrangement of simple geometric components, such as blocks, cylinders, wedges, and cones. The fundamental assumption of the proposed theory, recog ..."
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Cited by 1272 (23 self)
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of these properties is generally invariant over viewing position and image quality and consequently allows robust object perception when the image is projected from a novel viewpoint or is degraded. RBC thus provides a principled account of the heretofore undecided relation between the classic principles
Definition and invariance properties of structured surface BRDF
 IEEE Trans. Geosci. Remote
, 2002
"... Abstract. The bidirectional reflectance distribution function (BRDF) is used to characterize the directional properties of surface reflectance, but the most recent standardized definition fails to address some important aspects for the structured and varying surfaces encountered in remote sensing. T ..."
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Cited by 6 (1 self)
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. This article proposes an updated definition of BRDF that is applicable for such surfaces. The updated definition then motivates an examination of the resulting measurement requirements and invariance properties. The conclusion is that structured surface BRDF can be defined in a consistent manner
Automatic predicate abstraction of C programs
 IN PROC. ACM PLDI
, 2001
"... Model checking has been widely successful in validating and debugging designs in the hardware and protocol domains. However, statespace explosion limits the applicability of model checking tools, so model checkers typically operate on abstractions of systems. Recently, there has been significant in ..."
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Cited by 488 (33 self)
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properties of programs. Predicate abstraction of software has many applications, including detecting program errors, synthesizing program invariants, and improving the precision of program analyses through predicate sensitivity. We discuss our experience applying the C2bp predicate abstraction tool to a
SOME AUTOMORPHISM INVARIANCE PROPERTIES FOR MULTICONTRACTIONS
, 2006
"... Abstract. In the theory of row contractions on a Hilbert space, as initiated by Popescu, two important objects are the Poisson kernel and the characteristic function. We determine their behaviour with respect to the action of the group of unitarily implemented automorphisms of the algebra generated ..."
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Cited by 5 (0 self)
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Abstract. In the theory of row contractions on a Hilbert space, as initiated by Popescu, two important objects are the Poisson kernel and the characteristic function. We determine their behaviour with respect to the action of the group of unitarily implemented automorphisms of the algebra generated by creation operators on the Fock space. The case of noncommutative varieties, introduced recently by Popescu, is also discussed. 1.
Results 11  20
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