A Compact and Complete AFMT Invariant with Application to Face Recognition [PDF]
, 2005 In this paper, we present a complete set of hybrid similarity invariants under the Analytical Fourier-Mellin Transform (AFMT) framework, and apply it to invariant face recognition. Because the magnitude and phase spectra are not processed separately,
Yu, Hongchuan, Bennamoun, Mohammed
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Majorisation ordering of measures invariant under transformations of the interval [PDF]
, 2010 PhDMajorisation is a partial ordering that can be applied to the set of probability measures on the unit interval I = [0, 1). Its defining property is that one measure μ majorises another measure , written μ , if R I fdμ R I fd for every ...
Steel, Jacob
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The invariant rings of the Sylow groups of GU(3,q2), GU(4,q2), Sp(4,q) and O+(4,q) in the natural characteristic [PDF]
, 2016 Let G be a Sylow p -subgroup of the unitary groups GU(3,q2)GU(3,q2), GU(4,q2)GU(4,q2), the symplectic group Sp(4,q)Sp(4,q) and, for q odd, the orthogonal group O+(4,q)O+(4,q).
Fleischmann, Peter +2 more
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Logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg--de Vries equation. [PDF]
, 2012 The periodic KdV equation arises from a Hamiltonian system with infinite-dimensional phase space L^2(T). Bourgain has shown that there exists a Gibbs measure \nu on balls in the phase space such that the Cauchy problem for KdV is well posed on the ...
Blower, Gordon
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Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018 It has been a long-standing problem posed by the first author in a conference in Marseille in 1990 to characterize semitopological semigroups which have common fixed point property when acting on a nonempty weak* compact convex subset of a dual Banach ...
Anthony To-Ming Lau, Yong Zhang
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A Bi-Invariant Statistical Model Parametrized by Mean and Covariance on Rigid Motions
Entropy, 2020 This paper aims to describe a statistical model of wrapped densities for bi-invariant statistics on the group of rigid motions of a Euclidean space. Probability distributions on the group are constructed from distributions on tangent spaces and pushed to
Emmanuel Chevallier, Nicolas Guigui
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An amenability-like property of finite energy path and loop groups
Comptes Rendus. Mathématique, 2021 We show that the groups of finite energy loops and paths (that is, those of Sobolev class $H^1$) with values in a compact connected Lie group, as well as their central extensions, satisfy an amenability-like property: they admit a left-invariant mean on ...
Pestov, Vladimir
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On the inversion invariance of invariant means [PDF]
Proceedings of the American Mathematical Society, 1965 An invariant mean on a group G is a normalized, positive, translation invariant linear functional defined on the space of cll bounded complex valued functions on G. Some groups possess an invariant mean (or are said to be amenable), while others do not. In particular, all abelian groups are amenable [2, ?17.5 ]. An invariant mean on a group need not be
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Design of frequency invariant beamformer for broadband arrays [PDF]
, 2007 A simple method for the design of a class of arrays with frequency invariant beam patterns is proposed. Starting from the desired frequency invariant beam pattern of an n-D array, the proposed method uses a series of substitutions and an n-D inverse ...
Weiss, Stephan, Liu, Wei
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Mean-of-Order-p Location-Invariant Extreme Value Index Estimation
Revstat Statistical Journal, 2016 A simple generalisation of the classical Hill estimator of a positive extreme value index (EVI) has been recently introduced in the literature. Indeed, the Hill estimator can be regarded as the logarithm of the mean of order p = 0 of a certain set of ...
M. Ivette Gomes +2 more
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