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This paper deals with the polynomial linear system solving with errors (PLSwE) problem. Specifically, we focus on the evaluation-interpolation technique for solving polynomial linear systems and we assume that errors can occur in the…

符号计算 · 计算机科学 2021-02-09 Guerrini Eleonora , Lebreton Romain , Zappatore Ilaria

We consider adaptive control of the Linear Quadratic Regulator (LQR), where an unknown linear system is controlled subject to quadratic costs. Leveraging recent developments in the estimation of linear systems and in robust controller…

机器学习 · 计算机科学 2018-05-25 Sarah Dean , Horia Mania , Nikolai Matni , Benjamin Recht , Stephen Tu

The standard coherence criterion for lower previsions is expressed using an infinite number of linear constraints. For lower previsions that are essentially defined on some finite set of gambles on a finite possibility space, we present a…

人工智能 · 计算机科学 2012-03-19 Erik Quaeghebeur

In this paper, we provide a new scheme for approximating the weakly efficient solution set for a class of vector optimization problems with rational objectives over a feasible set defined by finitely many polynomial inequalities. More…

最优化与控制 · 数学 2022-05-26 Feng Guo , Liguo Jiao

We introduce a novel family of mechanisms for constrained allocation problems which we call local priority mechanisms. These mechanisms are parameterized by a function which assigns a set of agents, the local compromisers, to every…

理论经济学 · 经济学 2024-03-01 Joseph Root , David S. Ahn

Many constraints restricting the result of some computations over an integer sequence can be compactly represented by register automata. We improve the propagation of the conjunction of such constraints on the same sequence by synthesising…

人工智能 · 计算机科学 2019-01-29 Ekaterina Arafailova , Nicolas Beldiceanu , Helmut Simonis

In this paper, the problem of tracking a given reference output trajectory is investigated for the class of Boolean control networks, by resorting to their algebraic representation. First, the case of a finite-length reference trajectory is…

系统与控制 · 电气工程与系统科学 2026-02-12 Giorgia Disarò , Maria Elena Valcher

We show that one can approximate the least fixed point solution for a multivariate system of monotone probabilistic polynomial equations in time polynomial in both the encoding size of the system of equations and in log(1/\epsilon), where…

计算复杂性 · 计算机科学 2013-02-21 Kousha Etessami , Alistair Stewart , Mihalis Yannakakis

Many psychological theories can be operationalized as linear inequality constraints on the parameters of multinomial distributions (e.g., discrete choice analysis). These constraints can be described in two equivalent ways: Either as the…

统计计算 · 统计学 2019-04-23 Daniel W. Heck , Clintin P. Davis-Stober

We address combinatorial problems that can be formulated as minimization of a partially separable function of discrete variables (energy minimization in graphical models, weighted constraint satisfaction, pseudo-Boolean optimization, 0-1…

计算机视觉与模式识别 · 计算机科学 2015-05-05 Alexander Shekhovtsov

In this paper, we will show that the width of simplices defined by systems of linear inequalities can be computed in polynomial time if some minors of their constraint matrices are bounded. Additionally, we present some…

最优化与控制 · 数学 2022-11-30 D. V. Gribanov , A. Y. Chirkov

In this paper, we consider the multicollinearity problem in the gamma regression model when model parameters are linearly restricted. The linear restrictions are available from prior information to ensure the validity of scientific theories…

统计方法学 · 统计学 2023-03-10 Solmaz Seifollahi , Hossein Bevrani , Kaniav Kamary

In this paper, we consider the problems of enumerating minimal vertex covers and minimal dominating sets with capacity and/or connectivity constraints. We develop polynomial-delay enumeration algorithms for these problems on bounded-degree…

数据结构与算法 · 计算机科学 2024-11-15 Yasuaki Kobayashi , Kazuhiro Kurita , Kevin Mann , Yasuko Matsui , Hirotaka Ono

The paper develops an optimal regulator for a general class of multi-input affine nonlinear systems minimizing a nonlinear cost functional with infinite horizon. The cost functional is general enough to enforce saturation limits on the…

系统与控制 · 电气工程与系统科学 2020-06-30 Nader Sadegh , Hassan Almubarak

We provide a randomized linear time approximation scheme for a generic problem about clustering of binary vectors subject to additional constrains. The new constrained clustering problem encompasses a number of problems and by solving it,…

数据结构与算法 · 计算机科学 2018-07-20 Fedor V. Fomin , Petr A. Golovach , Daniel Lokshtanov , Fahad Panolan , Saket Saurabh

This paper presents the first combinatorial polynomial-time algorithm for minimizing submodular set functions, answering an open question posed in 1981 by Grotschel, Lovasz, and Schrijver. The algorithm employs a scaling scheme that uses a…

组合数学 · 数学 2007-05-23 Satoru Iwata , Lisa Fleischer , Satoru Fujishige

Linearizability has become the de facto correctness specification for implementations of concurrent data structures. While formally verifying such implementations remains challenging, linearizability monitoring has emerged as a promising…

编程语言 · 计算机科学 2025-09-16 Lee Zheng Han , Umang Mathur

This paper proposes a parallelizable algorithm for linear-quadratic model predictive control (MPC) problems with state and input constraints. The algorithm itself is based on a parallel MPC scheme that has originally been designed for…

最优化与控制 · 数学 2022-07-04 Jiahe Shi , Yuning Jiang , Juraj Oravec , Boris Houska

In this paper, we present a new method for computing bounded-degree factors of lacunary multivariate polynomials. In particular for polynomials over number fields, we give a new algorithm that takes as input a multivariate polynomial f in…

符号计算 · 计算机科学 2016-02-01 Bruno Grenet

This work considers the problem of calculating an interval-valued state estimate for a nonlinear system subject to bounded inputs and measurement errors. Such state estimators are often called interval observers. Interval observers can be…

最优化与控制 · 数学 2021-10-25 Stuart M. Harwood , Paul I. Barton
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