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The paper aims to propose a suitable method in finding the solution of tensor complementarity problem. The tensor complementarity problem is a subclass of nonlinear complementarity problems for which the involved function is defined by a…

Optimization and Control · Mathematics 2022-05-05 A. Dutta , Bharat Kumar , Deepmala , A. K. Das

Many standard approaches for geometric model fitting are based on pre-matched image features. Typically, such pre-matching uses only feature appearances (e.g. SIFT) and a large number of non-unique features must be discarded in order to…

Computer Vision and Pattern Recognition · Computer Science 2014-04-11 Hossam Isack , Yuri Boykov

This paper provides closed-form formulas for a multidimensional two-sided matching problem with transferable utility and heterogeneity in tastes. When the matching surplus is quadratic, the marginal distributions of the characteristics are…

Theoretical Economics · Economics 2021-02-17 Raicho Bojilov , Alfred Galichon

In this paper, we address the problem of estimating transport surplus (a.k.a. matching affinity) in high dimensional optimal transport problems. Classical optimal transport theory specifies the matching affinity and determines the optimal…

Methodology · Statistics 2017-01-02 Arnaud Dupuy , Alfred Galichon , Yifei Sun

In our implementation of geometric resolution, the most costly operation is subsumption testing (or matching): One has to decide for a three-valued, geometric formula, if this formula is false in a given interpretation. The formula contains…

Logic in Computer Science · Computer Science 2023-06-22 Hans de Nivelle

We provide formulas and algorithms for computing the excess numbers of certain ideals. The solution for monomial ideals is given by the mixed volumes of certain polytopes. These results enable us to design specific homotopies for numerical…

Combinatorics · Mathematics 2014-05-06 Jose Rodriguez

Given $2n$ points in the plane, it is well-known that there always exists a perfect straight-line non-crossing matching. We show that it is $NP$-complete to decide if a partial matching can be augmented to a perfect one, via a reduction…

Computational Complexity · Computer Science 2012-06-28 Tillmann Miltzow

We introduce an alternative to the method of matched asymptotic expansions. In the "traditional" implementation, approximate solutions, valid in different (but overlapping) regions are matched by using "intermediate" variables. Here we…

Fluid Dynamics · Physics 2017-01-23 Luiz M. Faria , Rodolfo R. Rosales

In this article we establish error bound for linear complementarity problem with $P$-matrix using plus function. We introduce a fundamental quantity associated with a $P$-matrix and show how this quantity is useful in deriving error bounds…

Optimization and Control · Mathematics 2022-09-02 Bharat Kumar , Deepmala , A. Dutta , A. K. Das

We solve a functional equation connected to the algebraic characterization of generalized information functions. To prove the symmetry of the solution, we study a related system of functional equations, which involves two homographies.…

Classical Analysis and ODEs · Mathematics 2020-03-05 Daniel Bennequin , Juan Pablo Vigneaux

The problem of finding an appropriate geometrical/physical index for measuring a degree of inhomogeneity for a given space-time manifold is posed. Interrelations with the problem of understanding the gravitational/informational entropy are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Roustam Zalaletdinov

Finding correspondences between shapes is a fundamental problem in computer vision and graphics, which is relevant for many applications, including 3D reconstruction, object tracking, and style transfer. The vast majority of correspondence…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Maolin Gao , Zorah Lähner , Johan Thunberg , Daniel Cremers , Florian Bernard

This paper describes a framework for analysing matches in multiple data sets. The framework described is quite general and can be applied to a variety of problems where matches are to be found in data surveyed at a number of locations (or…

Statistics Theory · Mathematics 2007-06-13 Richard G. Clegg

The term "overlapping" refers to a certain fairly simple type of piecewise continuous function from the unit interval to itself and also to a fairly simple type of iterated function system (IFS) on the unit interval. A correspondence…

Dynamical Systems · Mathematics 2015-03-19 Michael F. Barnsley , Brendan Harding , Andrew Vince

We begin by defining general hypergeometric functions over finite fields and obtaining a finite field analogue of a classical symmetry in their complex counterparts. We give a geometric proof for the symmetry by constructing isomorphisms…

Number Theory · Mathematics 2026-04-22 Akio Nakagawa

Statistical matching is an effective method for estimating causal effects in which treated units are paired with control units with ``similar'' values of confounding covariates prior to performing estimation. In this way, matching helps…

Methodology · Statistics 2023-09-13 Sanjeewani Weerasingha , Michael J. Higgins

This paper presents a new combinatorial optimisation task, the Subset Sum Matching Problem (SSMP), which is an abstraction of common financial applications such as trades reconciliation. We present three algorithms, two suboptimal and one…

Artificial Intelligence · Computer Science 2025-08-27 Yufei Wu , Manuel R. Torres , Parisa Zehtabi , Alberto Pozanco Lancho , Michael Cashmore , Daniel Borrajo , Manuela Veloso

Finding correspondences between 3D shapes is a crucial problem in computer vision and graphics, which is for example relevant for tasks like shape interpolation, pose transfer, or texture transfer. An often neglected but essential property…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Viktoria Ehm , Paul Roetzer , Marvin Eisenberger , Maolin Gao , Florian Bernard , Daniel Cremers

A major challenge for matching-based depth estimation is to prevent mismatches in occlusion and smooth regions. An effective matching window satisfying three characteristics: texture richness, disparity consistency and anti-occlusion should…

Computer Vision and Pattern Recognition · Computer Science 2023-02-22 Ligen Shi , Chang Liu , Di He , Xing Zhao , Jun Qiu

We describe a novel algorithm for solving general parametric (nonlinear) eigenvalue problems. Our method has two steps: first, high-accuracy solutions of non-parametric versions of the problem are gathered at some values of the parameters;…

Numerical Analysis · Mathematics 2024-10-14 Davide Pradovera , Alessandro Borghi
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