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This paper is a study of weighted counting of the solutions of acyclic conjunctive queries ($\ACQ$). The unweighted quantifier free version of this problem is known to be tractable (for combined complexity), but it is also known that…

Computational Complexity · Computer Science 2011-12-08 Arnaud Durand , Stefan Mengel

Machine learning is now ubiquitous in societal decision-making, for example in evaluating job candidates or loan applications, and it is increasingly important to take into account how classified agents will react to the learning…

Machine Learning · Computer Science 2025-08-08 Dravyansh Sharma , Alec Sun

Learning of user preferences, as represented by, for example, Conditional Preference Networks (CP-nets), has become a core issue in AI research. Recent studies investigate learning of CP-nets from randomly chosen examples or from membership…

Artificial Intelligence · Computer Science 2019-02-06 Eisa Alanazi , Malek Mouhoub , Sandra Zilles

This work extends the analysis of the theoretical results presented within the paper Is Q-Learning Provably Efficient? by Jin et al. We include a survey of related research to contextualize the need for strengthening the theoretical…

Machine Learning · Computer Science 2020-09-23 Kushagra Rastogi , Jonathan Lee , Fabrice Harel-Canada , Aditya Joglekar

This paper explores a PAC (probably approximately correct) learning model in cooperative games. Specifically, we are given $m$ random samples of coalitions and their values, taken from some unknown cooperative game; can we predict the…

Computer Science and Game Theory · Computer Science 2016-10-11 Maria-Florina Balcan , Ariel D. Procaccia , Yair Zick

The model of learning with \emph{local membership queries} interpolates between the PAC model and the membership queries model by allowing the learner to query the label of any example that is similar to an example in the training set. This…

Machine Learning · Computer Science 2016-03-14 Galit Bary-Weisberg , Amit Daniely , Shai Shalev-Shwartz

We investigate learnability of possibilistic theories from entailments in light of Angluin's exact learning model. We consider cases in which only membership, only equivalence, and both kinds of queries can be posed by the learner. We then…

Logic in Computer Science · Computer Science 2020-05-08 Cosimo Persia , Ana Ozaki

The Fundamental Theorem of PAC Learning asserts that learnability of a concept class $H$ is equivalent to the $\textit{uniform convergence}$ of empirical error in $H$ to its mean, or equivalently, to the problem of $\textit{density…

Machine Learning · Computer Science 2025-03-04 Max Hopkins , Daniel M. Kane , Shachar Lovett , Gaurav Mahajan

Question answering (QA) models for reading comprehension tend to learn shortcut solutions rather than the solutions intended by QA datasets. QA models that have learned shortcut solutions can achieve human-level performance in shortcut…

Computation and Language · Computer Science 2022-11-30 Kazutoshi Shinoda , Saku Sugawara , Akiko Aizawa

We often add arithmetic to extend the expressiveness of query languages and study the complexity of problems such as testing query containment and finding certain answers in the framework of answering queries using views. When adding…

Databases · Computer Science 2020-11-19 Foto N. Afrati , Matthew Damigos

In this paper, we consider first-order logic over unary functions and study the complexity of the evaluation problem for conjunctive queries described by such kind of formulas. A natural notion of query acyclicity for this language is…

Logic in Computer Science · Computer Science 2007-05-23 Arnaud Durand , Etienne Grandjean

Approximate learning machines have become popular in the era of small devices, including quantised, factorised, hashed, or otherwise compressed predictors, and the quest to explain and guarantee good generalisation abilities for such…

Machine Learning · Computer Science 2022-03-16 Andrew J. Turner , Ata Kabán

Following the wide-spread adoption of machine learning models in real-world applications, the phenomenon of performativity, i.e. model-dependent shifts in the test distribution, becomes increasingly prevalent. Unfortunately, since models…

Machine Learning · Statistics 2026-01-21 Ivan Kirev , Lyuben Baltadzhiev , Nikola Konstantinov

The problem of attempting to learn the mapping between data and labels is the crux of any machine learning task. It is, therefore, of interest to the machine learning community on practical as well as theoretical counts to consider the…

Machine Learning · Computer Science 2022-10-21 Sairaam Venkatraman , S Balasubramanian , R Raghunatha Sarma

We study the problem of counting answers to unions of conjunctive queries (UCQs) under structural restrictions on the input query. Concretely, given a class C of UCQs, the problem #UCQ(C) provides as input a UCQ Q in C and a database D and…

Discrete Mathematics · Computer Science 2026-02-24 Jacob Focke , Leslie Ann Goldberg , Marc Roth , Stanislav Živný

Conjunctive query (CQ) evaluation is NP-complete, but becomes tractable for fragments of bounded hypertreewidth. Approximating a hard CQ by a query from such a fragment can thus allow for an efficient approximate evaluation. While…

Databases · Computer Science 2019-04-02 Pablo Barceló , Miguel Romero , Thomas Zeume

Given a dataset of input states, measurements, and probabilities, is it possible to efficiently predict the measurement probabilities associated with a quantum circuit? Recent work of Caro and Datta (2020) studied the problem of PAC…

Quantum Physics · Physics 2023-06-07 Daniel Liang

Machine learning researchers and practitioners steadily enlarge the multitude of successful learning models. They achieve this through in-depth theoretical analyses and experiential heuristics. However, there is no known general-purpose…

Computational Complexity · Computer Science 2023-10-18 Matthias C. Caro

We study uniform computability properties of PAC learning using Weihrauch complexity. We focus on closed concept classes, which are either represented by positive, by negative or by full information. Among other results, we prove that…

Logic · Mathematics 2026-01-27 Vasco Brattka , Guillaume Chirache

Statistical query (SQ) learning model of Kearns (1993) is a natural restriction of the PAC learning model in which a learning algorithm is allowed to obtain estimates of statistical properties of the examples but cannot see the examples…

Computational Complexity · Computer Science 2013-11-26 Vitaly Feldman