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A recursive estimator of the conditional geometric median in Hilbert spaces is studied. It is based on a stochastic gradient algorithm whose aim is to minimize a weighted L1 criterion and is consequently well adapted for robust online…

Statistics Theory · Mathematics 2012-04-18 Hervé Cardot , Peggy Cénac , Pierre-André Zitt

The goal of this paper is to present an algebraic approach to the basic results of the theory of linear recurrence relations. This approach is based on the ideas from the theory of representations of one endomorphisms (a special case of…

Combinatorics · Mathematics 2016-04-19 Nikolai V. Ivanov

This paper studies the estimation of network weights for a class of systems with binary-valued observations. In these systems only quantized observations are available for the network estimation. Furthermore, system states are coupled with…

Systems and Control · Computer Science 2019-03-19 Yu Xing , Xingkang He , Haitao Fang , Karl Henrik Johansson

We describe how to apply the recursive Green's function method to the computation of electronic transport properties of graphene sheets and nanoribbons in the linear response regime. This method allows for an amenable inclusion of several…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Caio H. Lewenkopf , Eduardo R. Mucciolo

While most fundamental interactions in nature are known to be mediated by quantized fields, the possibility has been raised that gravity may behave differently. Making this concept precise enough to test requires consistent models. Here we…

Quantum Physics · Physics 2023-01-23 Daniel Carney , Jacob M. Taylor

All types of networks arise as intricate combinations of dyadic building blocks formed by pairs of vertices. In directed networks, the dyadic patterns are entirely determined by reciprocity, i.e. the tendency to form, or to avoid, mutual…

Data Analysis, Statistics and Probability · Physics 2014-01-14 Tiziano Squartini , Francesco Picciolo , Franco Ruzzenenti , Diego Garlaschelli

Nonparametric estimation of a mixing density based on observations from the corresponding mixture is a challenging statistical problem. This paper surveys the literature on a fast, recursive estimator based on the predictive recursion…

Methodology · Statistics 2022-09-15 Ryan Martin

Recently the authors and J.M. Kress presented a special function recurrence relation method to prove quantum superintegrability of an integrable 2D system that included explicit constructions of higher order symmetries and the structure…

Mathematical Physics · Physics 2015-05-27 E. G. Kalnins , W. Miller,

We deform two-dimensional topological gravity by making use of its gauge theory formulation. The obtained noncommutative gravity model is shown to be invariant under a class of transformations that reduce to standard diffeomorphisms once…

High Energy Physics - Theory · Physics 2009-11-07 S. Cacciatori , A. H. Chamseddine , D. Klemm , L. Martucci , W. A. Sabra , D. Zanon

This revisit gives a survey on the analytical methods for the inverse exponential Radon transform which has been investigated in the past three decades from both mathematical interests and medical applications such as nuclear medicine…

Image and Video Processing · Electrical Eng. & Systems 2020-02-06 Jason You

We derive relativistic equations for charged and neutral spin particles. The approach for higher-spin particles is based on generalizations of the Bargmann-Wigner formalism. Next, we study, what new physical information can the introduction…

High Energy Physics - Theory · Physics 2013-07-02 Valeri V. Dvoeglazov

We define a general class of random systems of horizontal and vertical weighted broken lines on the quarter plane whose distribution are proved to be translation invariant. This invariance stems from a reversibility property of the model.…

Probability · Mathematics 2022-10-10 Alexandre Boyer , Jérôme Casse , Nathanaël Enriquez , Arvind Singh

Linear recursion relations for the instanton corrections to the effective prepotential are derived for two cases of N=2 supersymmetric gauge theories; the first case with an arbitrary number of hypermultiplets in the fundamental…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chan

Considering two random variables with different laws to which we only have access through finite size iid samples, we address how to reweight the first sample so that its empirical distribution converges towards the true law of the second…

Statistics Theory · Mathematics 2022-06-08 Julien Reygner , Adrien Touboul

An algorithm is given for computing explicit formulas for the generators of relations among the invariant rational functions for vector-valued bilinear forms. These formulas have applications in the geometry of Riemannian submanifolds and…

Rings and Algebras · Mathematics 2007-05-23 Thomas Garrity , Zachary Grossman

We give an alternative method to obtain normal forms of reversible equivariant vector fields. We adapt the classical method using tools from invariant theory to establish formulae that take symmetries into account as a starting point.…

Representation Theory · Mathematics 2015-02-26 Patricia Hernandes Baptistelli , Miriam Garcia Manoel , Iris de Oliveira Zeli

We study positive bilinear forms on a Hilbert space which are neither not necessarily bounded nor induced by some positive operator. We show when different families of bilinear forms can be described as a generalized effect algebra. In…

Mathematical Physics · Physics 2015-06-15 A. Dvurečenskij , J. Janda

We study global subalgebras of superconformal algebras in two dimensions and their unitary representations. Global superconformal multiplets are decomposed into conformal multiplets using Racah-Speiser algorithm, revealing many essential…

High Energy Physics - Theory · Physics 2020-10-12 Siyul Lee , Sungjay Lee

In this paper we outline the most general and universal algorithmic approach to reduction of loop integrals to basic integrals. The approach is based on computation of Groebner bases for recurrence relations derived from the integration by…

High Energy Physics - Phenomenology · Physics 2009-11-11 Vladimir P. Gerdt

Recently, tree-level recursion relations for scattering amplitudes of gluons in Yang-Mills theory have been derived. In this note we propose a generalization of the recursion relations to tree-level scattering amplitudes of gravitons. We…

High Energy Physics - Theory · Physics 2007-05-23 Freddy Cachazo , Peter Svrcek
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