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Sequential estimation of a vector of linear regression coefficients is considered under both centralized and decentralized setups. In sequential estimation, the number of observations used for estimation is determined by the observed…

Applications · Statistics 2014-12-18 Yasin Yilmaz , George V. Moustakides , Xiaodong Wang

In this paper, we consider the problem of joint sparsity pattern recovery in a distributed sensor network. The sparse multiple measurement vector signals (MMVs) observed by all the nodes are assumed to have a common (but unknown) sparsity…

Information Theory · Computer Science 2016-01-27 Gang Li , Thakshila Wimalajeewa , Pramod K. Varshney

A subset of Q^n is called semilinear (or piecewise linear) if it is Boolean combination of linear half-spaces. We study the computational complexity of the constraint satisfaction problem (CSP) over the rationals when all the constraints…

Computational Complexity · Computer Science 2018-10-30 Manuel Bodirsky , Marcello Mamino

To any fixed, finite relational structure, $\mathbb{D}$, there is an associated decision problem, CSP$(\mathbb{D})$, which is a restricted version of the constraint satisfaction problem. In [8], the so called "algebraic approach" to the…

Logic · Mathematics 2016-09-14 Ian Payne

Solving linear programs is often a challenging task in distributed settings. While there are good algorithms for solving packing and covering linear programs in a distributed manner (Kuhn et al.~2006), this is essentially the only class of…

Data Structures and Algorithms · Computer Science 2017-09-12 Michael Dinitz , Yasamin Nazari

Solving combinatorial optimization problems involve satisfying a set of hard constraints while optimizing some objectives. In this context, exact or approximate methods can be used. While exact methods guarantee the optimal solution, they…

Artificial Intelligence · Computer Science 2024-09-13 Aymen Ben Said , Malek Mouhoub

The constraint satisfaction problem (CSP) has important applications in computer science and AI. In particular, infinite-domain CSPs have been intensively used in subareas of AI such as spatio-temporal reasoning. Since constraint…

Artificial Intelligence · Computer Science 2021-07-06 Konrad K. Dabrowski , Peter Jonsson , Sebastian Ordyniak , George Osipov

We consider a realistic decentralized setup with bandwidth-constrained communication and derive optimal time complexities for non-convex stochastic parallel and asynchronous optimization (up to logarithmic factors). We develop the…

Optimization and Control · Mathematics 2026-03-24 Alexander Tyurin

Constraint programming (CP) is a powerful technique for solving constraint satisfaction and optimization problems. In CP solvers, the variable ordering strategy used to select which variable to explore first in the solving process has a…

Artificial Intelligence · Computer Science 2023-04-13 Yuan Sun , Su Nguyen , Dhananjay Thiruvady , Xiaodong Li , Andreas T. Ernst , Uwe Aickelin

Solving constraint satisfaction problems (CSPs) is a notoriously expensive computational task. Recently, it has been proposed that efficient stochastic solvers can be obtained through appropriately configured spiking neural networks…

Neural and Evolutionary Computing · Computer Science 2016-04-07 Jonathan Binas , Giacomo Indiveri , Michael Pfeiffer

The constraint satisfaction problem (CSP) is a computational problem that includes a range of important problems in computer science. We point out that fundamental concepts of the CSP, such as the solution set of an instance and…

Category Theory · Mathematics 2022-11-04 Soichiro Fujii , Yuni Iwamasa , Kei Kimura

Privacy has traditionally been a major motivation for distributed problem solving. Distributed Constraint Satisfaction Problem (DisCSP) as well as Distributed Constraint Optimization Problem (DCOP) are fundamental models used to solve…

A Constraint Satisfaction Problem (CSP) is a framework used for modeling and solving constrained problems. Tree-search algorithms like backtracking try to construct a solution to a CSP by selecting the variables of the problem one after…

Artificial Intelligence · Computer Science 2014-10-06 Muhammad Rezaul Karim

A constraint satisfaction problem (CSP), $\textsf{Max-CSP}(\mathcal{F})$, is specified by a finite set of constraints $\mathcal{F} \subseteq \{[q]^k \to \{0,1\}\}$ for positive integers $q$ and $k$. An instance of the problem on $n$…

Computational Complexity · Computer Science 2024-02-27 Chi-Ning Chou , Alexander Golovnev , Madhu Sudan , Santhoshini Velusamy

We consider distributed convex-concave saddle point problems over arbitrary connected undirected networks and propose a decentralized distributed algorithm for their solution. The local functions distributed across the nodes are assumed to…

Determining whether nodes can be localized, called localizability detection, is essential for wireless sensor networks (WSNs). This step is required for localizing nodes, achieving low-cost deployments, and identifying prerequisites in…

Signal Processing · Electrical Eng. & Systems 2018-12-31 Hejun Wu , Ao Ding , Lvzhou Li

In the field of constraint satisfaction problems (CSP), promise CSPs are an exciting new direction of study. In a promise CSP, each constraint comes in two forms: "strict" and "weak," and in the associated decision problem one must…

Data Structures and Algorithms · Computer Science 2020-12-03 Joshua Brakensiek , Venkatesan Guruswami , Marcin Wrochna , Stanislav Živný

An instance of Max CSP is a finite collection of constraints on a set of variables, and the goal is to assign values to the variables that maximises the number of satisfied constraints. Max CSP captures many well-known problems (such as Max…

Computational Complexity · Computer Science 2007-12-11 Peter Jonsson , Andrei Krokhin , Fredrik Kuivinen

The proliferation of novel industrial applications at the wireless edge, such as smart grids and vehicle networks, demands the advancement of cyber-physical systems. The performance of CPSs is closely linked to the last-mile wireless…

Signal Processing · Electrical Eng. & Systems 2024-08-01 Cheng Feng , Kedi Zheng , Yi Wang , Kaibin Huang , Qixin Chen

A wide range of problems can be modelled as constraint satisfaction problems (CSPs), that is, a set of constraints that must be satisfied simultaneously. Constraints can either be represented extensionally, by explicitly listing allowed…

Artificial Intelligence · Computer Science 2013-07-09 Evgenij Thorstensen
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