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The parameterized model-checking problem for a class of first-order sentences (queries) asks to decide whether a given sentence from the class holds true in a given relational structure (database); the parameter is the length of the…

Logic in Computer Science · Computer Science 2023-06-22 Yijia Chen , Michael Elberfeld , Moritz Müller

In this paper, we consider lower bounds on the query complexity for testing CSPs in the bounded-degree model. First, for any ``symmetric'' predicate $P:{0,1}^{k} \to {0,1}$ except \equ where $k\geq 3$, we show that every (randomized)…

Data Structures and Algorithms · Computer Science 2010-07-21 Yuichi Yoshida

This paper studies the problem of testing if an input (Gamma,*), where Gamma is a finite set of unknown size and * is a binary operation over Gamma given as an oracle, is close to a specified class of groups. Friedl et al. [Efficient…

Data Structures and Algorithms · Computer Science 2021-10-05 Francois Le Gall , Yuichi Yoshida

The framework of distribution testing is currently ubiquitous in the field of property testing. In this model, the input is a probability distribution accessible via independently drawn samples from an oracle. The testing task is to…

Data Structures and Algorithms · Computer Science 2022-09-22 Sourav Chakraborty , Eldar Fischer , Arijit Ghosh , Gopinath Mishra , Sayantan Sen

The Uncapacitated Facility Location (UFL) problem is one of the most fundamental clustering problems: Given a set of clients $C$ and a set of facilities $F$ in a metric space $(C \cup F, dist)$ with facility costs $open : F \to…

Data Structures and Algorithms · Computer Science 2026-01-29 Vincent Cohen-Addad , Fabrizio Grandoni , Euiwoong Lee , Chris Schwiegelshohn

Invariance with respect to linear or affine transformations of the domain is arguably the most common symmetry exhibited by natural algebraic properties. In this work, we show that any low complexity affine-invariant property of…

Computational Complexity · Computer Science 2012-10-09 Arnab Bhattacharyya , Eldar Fischer , Shachar Lovett

Property testing has been a major area of research in computer science in the last three decades. By property testing we refer to an ensemble of problems, results and algorithms which enable to deduce global information about some data by…

Group Theory · Mathematics 2024-07-01 Michael Chapman , Irit Dinur , Alexander Lubotzky

Rare properties remain a challenge for statistical model checking (SMC) due to the quadratic scaling of variance with rarity. We address this with a variance reduction framework based on lightweight importance splitting observers. These…

Logic in Computer Science · Computer Science 2015-04-29 Cyrille Jegourel , Axel Legay , Sean Sedwards , Louis-Marie Traonouez

We develop new algorithmic methods with provable guarantees for feature selection in regard to categorical data clustering. While feature selection is one of the most common approaches to reduce dimensionality in practice, most of the known…

Data Structures and Algorithms · Computer Science 2021-08-20 Sayan Bandyapadhyay , Fedor V. Fomin , Petr A. Golovach , Kirill Simonov

We study a new framework for property testing of probability distributions, by considering distribution testing algorithms that have access to a conditional sampling oracle.* This is an oracle that takes as input a subset $S \subseteq [N]$…

Data Structures and Algorithms · Computer Science 2015-01-19 Clement Canonne , Dana Ron , Rocco A. Servedio

We study the problem of hypothesis selection under the constraint of local differential privacy. Given a class $\mathcal{F}$ of $k$ distributions and a set of i.i.d. samples from an unknown distribution $h$, the goal of hypothesis selection…

Machine Learning · Statistics 2026-03-05 Alireza F. Pour , Hassan Ashtiani , Shahab Asoodeh

In this paper we deal with a complex real world scheduling problem closely related to the well-known Resource-Constrained Project Scheduling Problem (RCPSP). The problem concerns industrial test laboratories in which a large number of tests…

Artificial Intelligence · Computer Science 2024-11-01 Tobias Geibinger , Florian Mischek , Nysret Musliu

A worst-case complexity bound is proved for a sequential quadratic optimization (commonly known as SQP) algorithm that has been designed for solving optimization problems involving a stochastic objective function and deterministic nonlinear…

Optimization and Control · Mathematics 2022-01-10 Frank E. Curtis , Michael J. O'Neill , Daniel P. Robinson

We explore potential quantum speedups for the fundamental problem of testing the properties of closeness and $k$-wise uniformity of probability distributions. Closeness testing is the problem of distinguishing whether two $n$-dimensional…

Quantum Physics · Physics 2024-06-27 Jingquan Luo , Qisheng Wang , Lvzhou Li

Detectability of failures of linear programming (LP) decoding and its potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the LP problem. In this paper, we make a…

Information Theory · Computer Science 2007-07-13 Mohammad H. Taghavi N. , Paul H. Siegel

In this paper, we consider a class of constrained clustering problems of points in $\mathbb{R}^{d}$, where $d$ could be rather high. A common feature of these problems is that their optimal clusterings no longer have the locality property…

Computational Geometry · Computer Science 2018-10-03 Hu Ding , Jinhui Xu

We study a natural variant of scheduling that we call \emph{partial scheduling}: In this variant an instance of a scheduling problem along with an integer $k$ is given and one seeks an optimal schedule where not all, but only $k$ jobs, have…

Data Structures and Algorithms · Computer Science 2020-10-02 Jesper Nederlof , Céline Swennenhuis

Local certification is a topic originating from distributed computing, where a prover tries to convince the vertices of a graph $G$ that $G$ satisfies some property $\mathcal{P}$. To convince the vertices, the prover gives a small piece of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-30 Louis Esperet , Sébastien Zeitoun

In partial function extension, we are given a partial function consisting of $n$ points from a domain and a function value at each point. Our objective is to determine if this partial function can be extended to a function defined on the…

Data Structures and Algorithms · Computer Science 2018-12-17 Umang Bhaskar , Gunjan Kumar

Introduced by Korman, Kutten, and Peleg (PODC 2005), a proof labeling scheme (PLS) is a distributed verification system dedicated to evaluating if a given configured graph satisfies a certain property. It involves a centralized prover,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-25 Yuval Emek , Yuval Gil , Shay Kutten
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