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For a relation that violates a set of functional dependencies, we consider the task of finding a maximum number of pairwise-consistent tuples, or what is known as a "cardinality repair." We present a polynomial-time algorithm that, for…

Databases · Computer Science 2017-08-31 Ester Livshits , Benny Kimelfeld

We investigate the complexity of computing an optimal repair of an inconsistent database, in the case where integrity constraints are Functional Dependencies (FDs). We focus on two types of repairs: an optimal subset repair (optimal…

Databases · Computer Science 2017-12-22 Ester Livshits , Benny Kimelfeld , Sudeepa Roy

In its traditional definition, a repair of an inconsistent database is a consistent database that differs from the inconsistent one in a "minimal way". Often, repairs are not equally legitimate, as it is desired to prefer one over another;…

Databases · Computer Science 2016-03-08 Benny Kimelfeld , Ester Livshits , Liat Peterfreund

Datasets may include errors, and specifically violations of integrity constraints, for various reasons. Standard techniques for ``minimal-cost'' database repairing resolve these violations by aiming for minimum change in the data, and in…

Databases · Computer Science 2024-10-23 Yuxi Liu , Fangzhu Shen , Kushagra Ghosh , Amir Gilad , Benny Kimelfeld , Sudeepa Roy

Data inconsistency evaluating and repairing are major concerns in data quality management. As the basic computing task, optimal subset repair is not only applied for cost estimation during the progress of database repairing, but also…

Databases · Computer Science 2020-01-14 Dongjing Miao , Zhipeng Cai , Jianzhong Li , Xiangyu Gao , Xianmin Liu

Preferences are a pivotal component in practical reasoning, especially in tasks that involve decision-making over different options or courses of action that could be pursued. In this work, we focus on repairing and querying inconsistent…

Databases · Computer Science 2024-05-28 Nina Pardal , Santiago Cifuentes , Edwin Pin , Maria Vanina Martinez , Sergio Abriola

In the deeply interconnected world we live in, pieces of information link domains all around us. As graph databases embrace effectively relationships among data and allow processing and querying these connections efficiently, they are…

Databases · Computer Science 2023-04-04 Sergio Abriola , Santiago Cifuentes , María Vanina Martínez , Nina Pardal , Edwin Pin

This paper revisits the problem of repairing and querying inconsistent databases equipped with universal constraints. We adopt symmetric difference repairs, in which both deletions and additions of facts can be used to restore consistency,…

Databases · Computer Science 2025-09-12 Meghyn Bienvenu , Camille Bourgaux

The repair problem for functional dependencies is the problem where an input database needs to be modified such that all functional dependencies are satisfied and the difference with the original database is minimal. The output database is…

Databases · Computer Science 2024-04-18 Toon Boeckling , Antoon Bronselaer

A probabilistic database with attribute-level uncertainty consists of relations where cells of some attributes may hold probability distributions rather than deterministic content. Such databases arise, implicitly or explicitly, in the…

Databases · Computer Science 2022-12-26 Amir Gilad , Aviram Imber , Benny Kimelfeld

We propose a generic numerical measure of the inconsistency of a database with respect to a set of integrity constraints. It is based on an abstract repair semantics. In particular, an inconsistency measure associated to cardinality-repairs…

Databases · Computer Science 2019-01-23 Leopoldo Bertossi

We discover a connection between finding subset-maximal repairs for sets of functional and inclusion dependencies, and computing extensions within argumentation frameworks (AFs). We study the complexity of the existence of a repair and…

Computational Complexity · Computer Science 2023-12-05 Yasir Mahmood , Jonni Virtema , Timon Barlag , Axel-Cyrille Ngonga Ngomo

Optimization - minimization or maximization - in the lattice of subsets is a frequent operation in Artificial Intelligence tasks. Examples are subset-minimal model-based diagnosis, nonmonotonic reasoning by means of circumscription, or…

Artificial Intelligence · Computer Science 2016-12-23 Wolfgang Faber , Mauro Vallati , Federico Cerutti , Massimiliano Giacomin

Repairing inconsistent knowledge bases is a task that has been assessed, with great advances over several decades, from within the knowledge representation and reasoning and the database theory communities. As information becomes more…

Databases · Computer Science 2023-07-14 Sergio Abriola , Santiago Cifuentes , Nina Pardal , Edwin Pin

We introduce a general abstract framework for database repairs, where the repair notions are defined using formal logic. We distinguish between integrity constraints and so-called query constraints. The former are used to model consistency…

Databases · Computer Science 2025-03-31 Nicolas Fröhlich , Arne Meier , Nina Pardal , Jonni Virtema

We consider the problem of minimizing a convex function over the intersection of finitely many simple sets which are easy to project onto. This is an important problem arising in various domains such as machine learning. The main difficulty…

Optimization and Control · Mathematics 2017-10-19 Achintya Kundu , Francis Bach , Chiranjib Bhattacharyya

Fairness is increasingly recognized as a critical component of machine learning systems. However, it is the underlying data on which these systems are trained that often reflect discrimination, suggesting a database repair problem. Existing…

Databases · Computer Science 2019-10-04 Babak Salimi , Luke Rodriguez , Bill Howe , Dan Suciu

A key task in the context of consistent query answering is to count the number of repairs that entail the query, with the ultimate goal being a precise data complexity classification. This has been achieved in the case of primary keys and…

Databases · Computer Science 2024-04-10 Marco Calautti , Ester Livshits , Andreas Pieris , Markus Schneider

Datasets often contain values that naturally reside in a metric space: numbers, strings, geographical locations, machine-learned embeddings in a Euclidean space, and so on. We study the computational complexity of repairing inconsistent…

Databases · Computer Science 2024-09-26 Youri Kaminsky , Benny Kimelfeld , Ester Livshits , Felix Naumann , David Wajc

Inconsistent values are commonly encountered in real-world applications, which can negatively impact data analysis and decision-making. While existing research primarily focuses on identifying the smallest removal set to resolve…

Data Structures and Algorithms · Computer Science 2025-12-23 Haoda Li , Jiahui Chen , Yu Sun , Shaoxu Song , Haiwei Zhang , Xiaojie Yuan
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