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In this work we present a new simple but efficient scheme - Subsquares approach - for development of algorithms for enclosing the solution set of overdetermined interval linear systems. We are going to show two algorithms based on this…

数值分析 · 计算机科学 2013-05-07 Jaroslav Horáček , Milan Hladík

In areas such as computer software and hardware, manufacturing systems, and transportation, engineers encounter networks with arbitrarily large numbers of isomorphic subprocesses. Parameterized systems provide a framework for modeling such…

形式语言与自动机理论 · 计算机科学 2016-10-03 M. H. Zibaeenejad , J. G. Thistle

We consider the problem of coding over the multi-user Interference Channel (IC). It is well-known that aligning the interfering signals results in improved achievable rates in certain setups involving more than two users. We argue that in…

信息论 · 计算机科学 2016-02-18 F. Shirani , S. S. Pradhan

This work proposes a discretization of the acoustic wave equation with possibly oscillatory coefficients based on a superposition of discrete solutions to spatially localized subproblems computed with an implicit time discretization. Based…

数值分析 · 数学 2024-03-11 Dietmar Gallistl , Roland Maier

The domain of cluster analysis is a meeting point for a very rich multidisciplinary encounter, with cluster-analytic methods being studied and developed in discrete mathematics, numerical analysis, statistics, data analysis, data science,…

其他统计学 · 统计学 2024-09-26 Iven Van Mechelen , Christian Hennig , Henk A. L. Kiers

In this paper, we study temporal splitting algorithms for multiscale problems. The exact fine-grid spatial problems typically require some reduction in degrees of freedom. Multiscale algorithms are designed to represent the fine-scale…

数值分析 · 数学 2021-06-02 Yalchin Efendiev , Sai-Mang Pun , Petr N. Vabishchevich

Regionalization is the task of dividing up a landscape into homogeneous patches with similar properties. Although this task has a wide range of applications, it has two notable challenges. First, it is assumed that the resulting regions are…

机器学习 · 计算机科学 2019-05-22 Shuai Yuan , Pang-Ning Tan , Kendra Spence Cheruvelil , Sarah M. Collins , Patricia A. Soranno

The goal of the present work is to solve a linear dispersive equation with variable coefficient advection on an unbounded domain. In this setting, transparent boundary conditions are vital to allow waves to leave (or even re-enter) the,…

数值分析 · 数学 2021-06-09 Lukas Einkemmer , Alexander Ostermann , Mirko Residori

Manipulation in confined and cluttered environments remains a significant challenge due to partial observability and complex configuration spaces. Effective manipulation in such environments requires an intelligent exploration strategy to…

机器人学 · 计算机科学 2026-05-20 Qixuan Li , Chen Le , Dongyue Huang , Jincheng Yu , Xinlei Chen

It is shown that the interplay of a confining potential with a periodic potential leads for free particles to states spatially confined on a fraction of the total extension of the system. A more complex `slicing' of the system can be…

统计力学 · 物理学 2016-08-31 Marcos Rigol , Alejandro Muramatsu

Coordination in distributed systems is often hampered by communication latency, which degrades performance. Quantum entanglement offers fundamentally stronger correlations than classically achievable without communication. Crucially, these…

量子物理 · 物理学 2026-02-05 Francisco Ferreira da Silva , Stephanie Wehner

Functional defects in periodic media confine waves - acoustic, electromagnetic, electronic, spin, etc. - in various dimensions, depending on the structure of the defect. While defects are usually modelled by a superlattice with a typical…

无序系统与神经网络 · 物理学 2022-11-28 Marek Kozoň , Ad Lagendijk , Matthias Schlottbom , Jaap J. W. van der Vegt , Willem L. Vos

Any architecture for practical quantum computing must be scalable. An attractive approach is to create multiple cores, computing regions of fixed size that are well-spaced but interlinked with communication channels. This exploded…

量子物理 · 物理学 2022-11-08 Hamza Jnane , Brennan Undseth , Zhenyu Cai , Simon C Benjamin , Bálint Koczor

Nested parallelism exists in scientific codes that are searching multi-dimensional spaces. However, implementations of nested parallelism often have overhead and load balance issues. The Orbital Analysis code we present exhibits a sparse…

分布式、并行与集群计算 · 计算机科学 2017-08-01 Benjamin James Gaska , Neha Jothi , Mahdi Soltan Mohammadi , Kat Volk , Michelle Mills Strout

This paper studies the large-scale subspace clustering (LSSC) problem with million data points. Many popular subspace clustering methods cannot directly handle the LSSC problem although they have been considered as state-of-the-art methods…

机器学习 · 计算机科学 2020-04-10 Jun Li , Hongfu Liu , Zhiqiang Tao , Handong Zhao , Yun Fu

A method is devised for numerically solving a class of finite-horizon optimal control problems subject to cascade linear discrete-time dynamics. It is assumed that the linear state and input inequality constraints, and the quadratic measure…

最优化与控制 · 数学 2017-10-13 Michael Cantoni , Farhad Farokhi , Eric C. Kerrigan , Iman Shames

The problem of confinement of spinless particles in 1+1 dimensions is approached with a linear potential by considering a mixing of Lorentz vector and scalar couplings. Analytical bound-states solutions are obtained when the scalar coupling…

高能物理 - 理论 · 物理学 2009-11-11 Antonio S. de Castro

In the vicinity of a solution of a nonlinear programming problem at which both strict complementarity and linear independence of the active constraints may fail to hold, we describe a technique for distinguishing weakly active from strongly…

最优化与控制 · 数学 2025-10-20 Stephen J. Wright

A large-scale complex system comprising many, often spatially distributed, dynamical subsystems with partial autonomy and complex interactions are called system of systems. This paper describes an efficient algorithm for model predictive…

最优化与控制 · 数学 2019-04-25 Branimir Novoselnik , Vedrana Spudić , Mato Baotić

The properties of constrained fluids have increasingly gained relevance for applications ranging from materials to biology. In this work, we propose a multiscale model using twin neural networks to investigate the properties of a fluid…

化学物理 · 物理学 2024-08-07 Peiyuan Gao , George Em Karniadakis , Panos Stinis