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The constraint satisfaction problem (CSP) on a finite relational structure B is to decide, given a set of constraints on variables where the relations come from B, whether or not there is a assignment to the variables satisfying all of the…

Computational Complexity · Computer Science 2024-04-24 Hubie Chen

In this work, we focus on the Partial Constraint Satisfaction Problem (PCSP) over control-flow graphs (CFGs) of programs. PCSP serves as a generalization of the well-known Constraint Satisfaction Problem (CSP). In the CSP framework, we…

Computation and Language · Computer Science 2026-02-04 Xuran Cai , Amir Goharshady

In the last two decades the study of random instances of constraint satisfaction problems (CSPs) has flourished across several disciplines, including computer science, mathematics and physics. The diversity of the developed methods, on the…

Combinatorics · Mathematics 2025-07-02 Konstantinos Panagiotou , Matija Pasch

We study the classic NP-Hard problem of finding the maximum $k$-set coverage in the data stream model: given a set system of $m$ sets that are subsets of a universe $\{1,\ldots,n \}$, find the $k$ sets that cover the most number of distinct…

Data Structures and Algorithms · Computer Science 2018-05-11 Andrew McGregor , Hoa T. Vu

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

Random constraint satisfaction problems (CSP) have been studied extensively using statistical physics techniques. They provide a benchmark to study average case scenarios instead of the worst case one. The interplay between statistical…

Disordered Systems and Neural Networks · Physics 2017-06-06 Silvio Franz , Giorgio Parisi , Maksim Sevelev , Pierfrancesco Urbani , Francesco Zamponi

Streaming is a model where an input graph is provided one edge at a time, instead of being able to inspect it at will. In this work, we take a parameterized approach by assuming a vertex cover of the graph is given, building on work of…

Data Structures and Algorithms · Computer Science 2021-11-22 Jelle J. Oostveen , Erik Jan van Leeuwen

In this paper, the problem of assigning channel slots to a number of contending stations is modeled as a Constraint Satisfaction Problem (CSP). A learning MAC protocol that uses deterministic backoffs after successful transmissions is used…

Networking and Internet Architecture · Computer Science 2012-10-15 Jaume Barcelo , Nuria Garcia , Azadeh Faridi , Simon Oechsner , Boris Bellalta

The minimum unsatisfiability version of a constraint satisfaction problem (MinCSP) asks for an assignment where the number of unsatisfied constraints is minimum possible, or equivalently, asks for a minimum-size set of constraints whose…

Computational Complexity · Computer Science 2018-05-09 Édouard Bonnet , László Egri , Bingkai Lin , Dániel Marx

The seminal work of Bencz\'ur and Karger demonstrated cut sparsifiers of near-linear size. Subsequent extensions have yielded sparsifiers for hypergraph cuts and more recently linear codes over Abelian groups. A decade ago, Kogan and…

Data Structures and Algorithms · Computer Science 2026-05-19 Joshua Brakensiek , Venkatesan Guruswami

We study the space complexity of computing a sparse subgraph of a directed graph that certifies connectivity in the streaming and distributed models. Formally, for a directed graph $G=(V,A)$ and $k\in \mathbb{N}$, a $k$-node strong…

Data Structures and Algorithms · Computer Science 2026-02-16 Ho-Lin Chen , Tsun Ming Cheung , Peng-Ting Lin , Meng-Tsung Tsai

We define the problem of linear Contextual Stochastic Shortest Path (CSSP), where at the beginning of each episode, the learner observes an adversarially chosen context that determines the MDP through a fixed but unknown linear function.…

Machine Learning · Computer Science 2025-11-18 Dor Polikar , Alon Cohen

We initiate the study of constraint satisfaction problems (CSPs) in the presence of counting quantifiers, which may be seen as variants of CSPs in the mould of quantified CSPs (QCSPs). We show that a single counting quantifier strictly…

Computational Complexity · Computer Science 2011-12-14 Florent Madelaine , Barnaby Martin , Juraj Stacho

We study the complexity of the following problems in the streaming model. Membership testing for \DLIN We show that every language in \DLIN\ can be recognised by a randomized one-pass $O(\log n)$ space algorithm with inverse polynomial…

Data Structures and Algorithms · Computer Science 2011-04-06 Ajesh Babu , Nutan Limaye , Jaikumar Radhakrishnan , Girish Varma

The CSP (constraint satisfaction problems) is a class of problems deciding whether there exists a homomorphism from an instance relational structure to a target one. The CSP dichotomy is a profound result recently proved by Zhuk (2020, J.…

Logic · Mathematics 2023-01-13 Azza Gaysin

Stimulated by practical applications arising from viral marketing. This paper investigates a novel Budgeted $k$-Submodular Maximization problem defined as follows: Given a finite set $V$, a budget $B$ and a $k$-submodular function $f:…

Data Structures and Algorithms · Computer Science 2021-10-25 Canh V. Pham , Quang C. Vu , Dung K. T. Ha , Tai T. Nguyen

An unsupervised online streaming model is considered where samples arrive in an online fashion over $T$ slots. There are $M$ classifiers, whose confusion matrices are unknown a priori. In each slot, at most one sample can be labeled by any…

Machine Learning · Computer Science 2021-12-06 R. Vaze , Santanu Rathod

We build on a recently proposed method for explaining solutions of constraint satisfaction problems. An explanation here is a sequence of simple inference steps, where the simplicity of an inference step is measured by the number and types…

Artificial Intelligence · Computer Science 2021-07-06 Emilio Gamba , Bart Bogaerts , Tias Guns

Frequency estimation in data streams is one of the classical problems in streaming algorithms. Following much research, there are now almost matching upper and lower bounds for the trade-off needed between the number of samples and the…

Computational Complexity · Computer Science 2023-01-16 Shachar Lovett , Jiapeng Zhang

We introduce a streaming framework for analyzing stochastic approximation/optimization problems. This streaming framework is analogous to solving optimization problems using time-varying mini-batches that arrive sequentially. We provide…

Machine Learning · Computer Science 2023-04-25 Antoine Godichon-Baggioni , Nicklas Werge , Olivier Wintenberger