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Exploiting the algebraic structure of the set of bimatrix games, a divide-and-conquer algorithm for finding Nash equilibria is proposed. The algorithm is fixed-parameter tractable with the size of the largest irreducible component of a game…

Computer Science and Game Theory · Computer Science 2014-04-04 Xiang Jiang , Arno Pauly

We study minimization problems for deterministic $\omega$-automata in the presence of don't care words. We prove that the number of priorities in deterministic parity automata can be efficiently minimized under an arbitrary set of don't…

Formal Languages and Automata Theory · Computer Science 2026-04-08 Christof Löding , Max Philip Stachon

This paper studies complexity of recognition of classes of bounded configurations by a generalization of conventional cellular automata (CA) -- finite dynamic cellular automata (FDCA). Inspired by the CA-based models of biological and…

Computational Complexity · Computer Science 2007-05-23 Maxim Makatchev

Dependent Object Types (DOT) is a calculus with path dependent types, intersection types, and object self-references, which serves as the core calculus of Scala 3. Although the calculus has been proven sound, it remains open whether type…

Programming Languages · Computer Science 2020-05-15 Jason Hu , Ondřej Lhoták

We propose a safe exploration algorithm for deterministic Markov Decision Processes with unknown transition models. Our algorithm guarantees safety by leveraging Lipschitz-continuity to ensure that no unsafe states are visited during…

Robotics · Computer Science 2020-06-05 Erdem Bıyık , Jonathan Margoliash , Shahrouz Ryan Alimo , Dorsa Sadigh

The predict+optimize problem combines machine learning ofproblem coefficients with a combinatorial optimization prob-lem that uses the predicted coefficients. While this problemcan be solved in two separate stages, it is better to…

Machine Learning · Computer Science 2020-12-07 Ali Ugur Guler , Emir Demirovic , Jeffrey Chan , James Bailey , Christopher Leckie , Peter J. Stuckey

We show how any PAC learning algorithm that works under the uniform distribution can be transformed, in a blackbox fashion, into one that works under an arbitrary and unknown distribution $\mathcal{D}$. The efficiency of our transformation…

Machine Learning · Statistics 2023-03-31 Guy Blanc , Jane Lange , Ali Malik , Li-Yang Tan

Recently, five quasi-polynomial-time algorithms solving parity games were proposed. We elaborate on one of the algorithms, by Lehtinen (2018). Czerwi\'nski et al. (2019) observe that four of the algorithms can be expressed as constructions…

Formal Languages and Automata Theory · Computer Science 2019-10-10 Paweł Parys

We consider the policy synthesis problem for continuous-state controlled Markov processes evolving in discrete time, when the specification is given as a B\"uchi condition (visit a set of states infinitely often). We decompose computation…

Systems and Control · Electrical Eng. & Systems 2020-02-17 Rupak Majumdar , Kaushik Mallik , Sadegh Soudjani

We introduce deterministic suffix-reading automata (DSA), a new automaton model over finite words. Transitions in a DSA are labeled with words. From a state, a DSA triggers an outgoing transition on seeing a word ending with the…

Formal Languages and Automata Theory · Computer Science 2024-10-31 R Keerthan , B Srivathsan , R Venkatesh , Sagar Verma

This paper studies three classes of cellular automata from a computational point of view: freezing cellular automata where the state of a cell can only decrease according to some order on states, cellular automata where each cell only makes…

Discrete Mathematics · Computer Science 2022-01-27 Nicolas Ollinger , Guillaume Theyssier

Decision trees are commonly used predictive models due to their flexibility and interpretability. This paper is directed at quantifying the uncertainty of decision tree predictions by employing a Bayesian inference approach. This is…

Machine Learning · Computer Science 2024-03-28 Jodie A. Cochrane , Adrian Wills , Sarah J. Johnson

Deterministic and nondeterministic finite automata with translucent letters were introduced by Nagy and Otto more than a decade ago as Cooperative Distributed systems of a kind of stateless restarting automata with window size one. These…

Formal Languages and Automata Theory · Computer Science 2023-09-07 Benedek Nagy

Minimizing the size of finite automata is a fundamental problem in theoretical computer science. Beyond standard minimization, further reductions can be achieved by decomposing an automaton into smaller components whose languages combine…

Formal Languages and Automata Theory · Computer Science 2026-04-29 Mathias Berry , Pierre-Cyrille Héam , Ismaël Jecker

For some time, point-differential has been thought to be a better predictor for future NBA success than pure win-loss record. Most ranking and team performance predictions rely largely on point-differential, often with some normalizations…

Applications · Statistics 2019-12-04 Samuel Henry

We study the following refinement relation between nondeterministic state-transition models: model B strategically dominates model A iff every deterministic refinement of A is language contained in some deterministic refinement of B. While…

Logic in Computer Science · Computer Science 2024-07-16 Thomas A. Henzinger , Nicolas Mazzocchi , N. Ege Saraç

Deep learning is built on the foundational guarantee that gradient descent on an objective function converges to local minima. Unfortunately, this guarantee fails in settings, such as generative adversarial nets, that exhibit multiple…

Machine Learning · Computer Science 2019-05-14 Alistair Letcher , David Balduzzi , Sebastien Racaniere , James Martens , Jakob Foerster , Karl Tuyls , Thore Graepel

Semiautomata form a rich class of sequence-processing algorithms with applications in natural language processing, robotics, computational biology, and data mining. We establish the first Statistical Query hardness result for semiautomata…

Machine Learning · Computer Science 2025-10-07 George Giapitzakis , Kimon Fountoulakis , Eshaan Nichani , Jason D. Lee

The work is concerned with the trade-offs between the dimension and the time and space complexity of computations on nondeterministic cellular automata. It is proved, that 1). Every NCA $\Cal A$ of dimension $r$, computing a predicate $P$…

comp-gas · Physics 2007-05-23 Yuri Ozhigov

We present an efficient Angluin-style learning algorithm for weak deterministic B\"uchi automata (wDBAs). Different to ordinary deterministic B\"uchi and co-B\"uchi automata, wDBAs have a minimal normal form, and we show that we can learn…

Formal Languages and Automata Theory · Computer Science 2025-08-21 Mona Alluwayma , Yong Li , Sven Schewe , Qiyi Tang