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We study consistent query answering in relational databases. We consider an expressive class of schema constraints that generalizes both tuple-generating dependencies and equality-generating dependencies. We establish the complexity of…

Databases · Computer Science 2022-07-20 Lorenzo Marconi , Riccardo Rosati

One of the most important open problems in machine scheduling is the problem of scheduling a set of jobs on unrelated machines to minimize the makespan. The best known approximation algorithm for this problem guarantees an approximation…

Discrete Mathematics · Computer Science 2015-03-17 José Verschae , Andreas Wiese

State minimization of combinatorial filters is a fundamental problem that arises, for example, in building cheap, resource-efficient robots. But exact minimization is known to be NP-hard. This paper conducts a more nuanced analysis of this…

Robotics · Computer Science 2023-11-28 Yulin Zhang , Dylan A. Shell

An efficient approach for the construction of separable approximations of optimal value functions from interconnected optimal control problems is presented. The approach is based on assuming decaying sensitivities between subsystems,…

Optimization and Control · Mathematics 2025-01-16 Mario Sperl , Luca Saluzzi , Lars Grüne , Dante Kalise

Missing data often exists in real-world datasets, requiring significant time and effort for data repair to learn accurate models. In this paper, we show that imputing all missing values is not always necessary to achieve an accurate ML…

Machine Learning · Computer Science 2026-03-19 Cheng Zhen , Prayoga , Nischal Aryal , Arash Termehchy , Garrett Biwer , Lubna Alzamil

Despite decades of research, cardinality estimation remains the optimizer's Achilles heel, with industrial-strength systems exhibiting a systemic tendency toward underestimation. At cloud scale, this is a severe production vulnerability: in…

Databases · Computer Science 2026-03-06 Mihail Stoian , Tiemo Bang , Hangdong Zhao , Jesús Camacho-Rodríguez , Yuanyuan Tian , Andreas Kipf

The NP-hard general factor problem asks, given a graph and for each vertex a list of integers, whether the graph has a spanning subgraph where each vertex has a degree that belongs to its assigned list. The problem remains NP-hard even if…

Data Structures and Algorithms · Computer Science 2015-03-19 Gregory Gutin , Eun Jung Kim , Arezou Soleimanfallah , Stefan Szeider , Anders Yeo

Consider the regularized sparse minimization problem, which involves empirical sums of loss functions for $n$ data points (each of dimension $d$) and a nonconvex sparsity penalty. We prove that finding an…

Optimization and Control · Mathematics 2017-06-20 Yichen Chen , Dongdong Ge , Mengdi Wang , Zizhuo Wang , Yinyu Ye , Hao Yin

The soft capacitated facility location problem (SCFLP) is a classic combinatorial optimization problem, with its variants widely applied in the fields of operations research and computer science. In the SCFLP, given a set $\mathcal{F}$ of…

Data Structures and Algorithms · Computer Science 2025-02-18 Hanyin Xiao , Jiaming Zhang , Zhikang Zhang , Weidong Li

Recovering nonlinearly degraded signal in the presence of noise is a challenging problem. In this work, this problem is tackled by minimizing the sum of a non convex least-squares fit criterion and a penalty term. We assume that the…

Signal Processing · Electrical Eng. & Systems 2019-02-27 Marc Castella , Jean-Christophe Pesquet , Arthur Marmin

In high-dimensional and/or non-parametric regression problems, regularization (or penalization) is used to control model complexity and induce desired structure. Each penalty has a weight parameter that indicates how strongly the structure…

Machine Learning · Statistics 2017-03-30 Jean Feng , Noah Simon

This paper addresses the Data-Diff problem: given a dataset and a subsequent version of the dataset, find the shortest sequence of operations that transforms the dataset to the subsequent version, under a restricted family of operations. We…

Databases · Computer Science 2018-01-22 Tana Wattanawaroon , Stephen Macke , Aditya Parameswaran

The profile-based matching problem is the problem of finding a matching that optimizes profile from an instance $(G, r, \langle u_1, \dots, u_r \rangle)$, where $G$ is a bipartite graph $(A \cup B, E)$, $r$ is the number of utility…

Discrete Mathematics · Computer Science 2025-07-02 Seongbeom Park

We introduce a formalism to couple integrity constraints over general-purpose knowledge bases with actions that can be executed to restore consistency. This formalism generalizes active integrity constraints over databases. In the more…

Databases · Computer Science 2017-08-09 Luís Cruz-Filipe , Graça Gaspar , Isabel Nunes , Peter Schneider-Kamp

Many real life optimization problems contain both hard and soft constraints, as well as qualitative conditional preferences. However, there is no single formalism to specify all three kinds of information. We therefore propose a framework,…

Artificial Intelligence · Computer Science 2009-05-26 Carmel Domshlak , Francesca Rossi , Kristen Brent Venable , Toby Walsh

Cardinality estimation and conjunctive query evaluation are two of the most fundamental problems in database query processing. Recent work proposed, studied, and implemented a robust and practical information-theoretic cardinality…

Databases · Computer Science 2025-04-04 Sungjin Im , Benjamin Moseley , Hung Q. Ngo , Kirk Pruhs

The constraint satisfaction problem (CSP) is a central generic problem in computer science and artificial intelligence: it provides a common framework for many theoretical problems as well as for many real-life applications. Soft constraint…

Artificial Intelligence · Computer Science 2011-04-25 Martin C. Cooper , Stanislav Zivny

The curse of dimensionality in the realm of association rules is twofold. Firstly, we have the well known exponential increase in computational complexity with increasing item set size. Secondly, there is a \emph{related curse} concerned…

Artificial Intelligence · Computer Science 2018-05-16 Tom Hanika , Friedrich Martin Schneider , Gerd Stumme

Finding an optimal matching in a weighted graph is a standard combinatorial problem. We consider its semi-bandit version where either a pair or a full matching is sampled sequentially. We prove that it is possible to leverage a rank-1…

Machine Learning · Statistics 2021-08-03 Flore Sentenac , Jialin Yi , Clément Calauzènes , Vianney Perchet , Milan Vojnovic

Current conditional functional dependencies (CFDs) discovery algorithms always need a well-prepared training data set. This makes them difficult to be applied on large datasets which are always in low-quality. To handle the volume issue of…

Databases · Computer Science 2018-08-07 Hongzhi Wang , Mingda Li , Jiawei Zhao , Jianzhong Li , Hong Gao