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Representations by linear integral operators on $L_p$ spaces over measure spaces are investigated for the polynomial covariance type commutation relations and more general two-sided generalizations of covariance commutation relations…

Functional Analysis · Mathematics 2023-05-18 Domingos Djinja , Sergei Silvestrov , Alex Behakanira Tumwesigye

An efficient parallelization approach to simulate optical properties of ensembles of quantum emitters in realistic electromagnetic environments is considered. It relies on balancing computing load of utilized processors and is built into…

Computational Physics · Physics 2023-02-01 Maxim Sukharev

We present a new primal-dual splitting algorithm for structured monotone inclusions in Hilbert spaces and analyze its asymptotic behavior. A novelty of our framework, which is motivated by image recovery applications, is to consider…

Optimization and Control · Mathematics 2014-12-15 Stephen Becker , Patrick L. Combettes

This work proposes a novel singularity avoidance approach for real-time trajectory optimization based on known singular configurations. The focus of this work lies on analyzing kinematically singular configurations for three robots with…

Robotics · Computer Science 2023-04-03 Florian Beck , Minh Nhat Vu , Christian Hartl-Nesic , Andreas Kugi

This paper addresses the problem of decentralized abstractions for multiple mobile manipulators with 2nd order dynamics. In particular, we propose decentralized controllers for the navigation of each agent among predefined regions of…

Systems and Control · Computer Science 2017-12-07 Christos K. Verginis , Dimos V. Dimarogonas

We discuss how transformations in a three dimensional euclidean space can be described in terms of the Clifford algebra $\mathcal{C}\ell_{3,3}$ of the quadratic space $\mathbb{R}^{3,3}$. We show that this algebra describes in a unified way…

General Mathematics · Mathematics 2019-08-23 Jayme Vaz , Stephen Mann

The structure properties of multidimensional Delsarte transmutation operators in parametirc functional spaces are studied by means of differential-geometric tools. It is shown that kernels of the corresponding integral operator expressions…

Mathematical Physics · Physics 2007-05-23 J. Golenia , Y. A. Prykarpatsky , A. M. Samoilenko , A. K. Prykarpatsky

Cellular automata are investigated towards their ability to compute transductions, that is, to transform inputs into outputs. The families of transductions computed are classified with regard to the time allowed to process the input and to…

Formal Languages and Automata Theory · Computer Science 2012-08-15 Martin Kutrib , Andreas Malcher

The current paper presents a new approach to multilinear dynamical systems analysis and control. The approach is based upon recent developments in tensor decompositions and a newly defined algebra of circulants. In particular, it is shown…

Machine Learning · Computer Science 2021-09-01 Randy C. Hoover , Kyle Caudle , Karen Braman

We analyse an operator arising in the description of singular solutions to the two-dimensional Keller-Segel problem. It corresponds to the linearised operator in parabolic self-similar variables, close to a concentrated stationary state.…

Analysis of PDEs · Mathematics 2020-11-17 Charles Collot , Tej-Eddine Ghoul , Nader Masmoudi , Van Tien Nguyen

The Slater orbitals are the natural basis functions in quantum molecular calculations. Three-center repulsion Coulomb-exchange integrals over Slater orbitals are evaluated analytically with arbitrary orbital exponents, first for linear…

Mathematical Physics · Physics 2012-09-18 Telhat Özdogan , Maria Belen Ruiz

We propose a geometric framework to describe and analyze a wide array of operator splitting methods for solving monotone inclusion problems. The initial inclusion problem, which typically involves several operators combined through…

Optimization and Control · Mathematics 2024-11-20 Patrick L. Combettes

For some time now, conformal field theories in two dimensions have been studied as integrable systems. Much of the success of these studies is related to the existence of an operator algebra of the theory. In this paper, some of the…

High Energy Physics - Theory · Physics 2009-11-11 Jasbir Nagi

This research addresses the numerical simulation of the Boltzmann transport equation for semiconductor devices by proposing a multidimensional self-adaptive numerical simulation framework. This framework is applied to two important…

Numerical Analysis · Mathematics 2025-09-22 Zeyu Zhang , Xiaoyu Zhang , Zhigang Song , Qing Fang

In the past three decades, a large number of metaheuristics have been proposed and shown high performance in solving complex optimization problems. While most variation operators in existing metaheuristics are empirically designed, this…

Neural and Evolutionary Computing · Computer Science 2021-05-25 Ye Tian , Xingyi Zhang , Cheng He , Kay Chen Tan , Yaochu Jin

This work presents the design and the corresponding stability analysis of a model based, joint position tracking error constrained, adaptive output feedback controller for robot manipulators. Specifically, provided that the initial joint…

Systems and Control · Electrical Eng. & Systems 2021-07-08 Samet Gul , Erkan Zergeroglu , Enver Tatlicioglu

Recent work in simultaneous machine translation is often trained with conventional full sentence translation corpora, leading to either excessive latency or necessity to anticipate as-yet-unarrived words, when dealing with a language pair…

Computation and Language · Computer Science 2021-10-20 HyoJung Han , Seokchan Ahn , Yoonjung Choi , Insoo Chung , Sangha Kim , Kyunghyun Cho

This paper introduces the Omnidirectional Tractable Three Module Robot for traversing inside complex pipe networks. The robot consists of three omnidirectional modules fixed 120{\deg} apart circumferentially which can rotate about their…

Robotics · Computer Science 2020-02-20 Kartik Suryavanshi , Rama Vadapalli , Praharsha Budharaja , Abhishek Sarkar , Madhava Krishna

An arbitrary rigid transformation in $\mathbf{SE}(3)$ can be separated into two parts, namely, a translation and a rigid rotation. This technical report reviews, under a unifying viewpoint, three common alternatives to representing the…

Robotics · Computer Science 2022-04-08 José Luis Blanco-Claraco

We consider nonsymmetric operads with two binary operations satisfying relations in arity 3; hence these operads are quadratic, and so we can investigate Koszul duality. We first consider operations which are nonassociative (not necessarily…

Rings and Algebras · Mathematics 2016-06-08 Murray Bremner , Juana Sánchez-Ortega