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Nondeterministic Discounted-Sum Automata (NDAs) are nondeterministic finite automata equipped with a discounting factor $\lambda>1$, and whose transitions are labelled by weights. The value of a run of an NDA is the discounted sum of the…

Formal Languages and Automata Theory · Computer Science 2023-10-16 Shaull Almagor , Neta Dafni

We introduce a model of register automata over infinite trees with extrema constraints. Such an automaton can store elements of a linearly ordered domain in its registers, and can compare those values to the suprema and infima of register…

Logic in Computer Science · Computer Science 2023-06-22 Szymon Toruńczyk , Thomas Zeume

We propose DFAMiner, a passive learning tool for learning minimal separating deterministic finite automata (DFA) from a set of labelled samples. Separating automata are an interesting class of automata that occurs generally in regular model…

Formal Languages and Automata Theory · Computer Science 2024-05-30 Daniele Dell'Erba , Yong Li , Sven Schewe

We approach the task of computing a carefully synchronizing word of optimum length for a given partial deterministic automaton, encoding the problem as an instance of SAT and invoking a SAT solver. Our experiments demonstrate that this…

Formal Languages and Automata Theory · Computer Science 2020-05-19 Hanan Shabana , Mikhail Volkov

The problem of completing a large low rank matrix using a subset of revealed entries has received much attention in the last ten years. The main result of this paper gives a necessary and sufficient condition, stated in the language of…

Statistics Theory · Mathematics 2021-04-19 Sourav Chatterjee

We prove that a random automaton with $n$ states and any fixed non-singleton alphabet is synchronizing with high probability (modulo an unpublished result about unique highest trees of random graphs). Moreover, we also prove that the…

Formal Languages and Automata Theory · Computer Science 2024-07-10 Mikhail V. Berlinkov

We present a practical and powerful new framework for both unconstrained and constrained submodular function optimization based on discrete semidifferentials (sub- and super-differentials). The resulting algorithms, which repeatedly compute…

Data Structures and Algorithms · Computer Science 2013-08-13 Rishabh Iyer , Stefanie Jegelka , Jeff Bilmes

Pseudo-deterministic algorithms are randomized algorithms that, with high constant probability, output a fixed canonical solution. The study of pseudo-deterministic algorithms for the global minimum cut problem was recently initiated by…

Data Structures and Algorithms · Computer Science 2026-02-24 Yotam Kenneth-Mordoch

Resource allocation and scheduling in multi-agent systems present challenges due to complex interactions and decentralization. This survey paper provides a comprehensive analysis of distributed algorithms for addressing the distributed…

Mean field inference in probabilistic models is generally a highly nonconvex problem. Existing optimization methods, e.g., coordinate ascent algorithms, can only generate local optima. In this work we propose provable mean filed methods for…

Machine Learning · Computer Science 2018-12-03 An Bian , Joachim M. Buhmann , Andreas Krause

We present several infinite series of synchronizing automata for which the minimum length of reset words is close to the square of the number of states. These automata are closely related to primitive digraphs with large exponent.

Formal Languages and Automata Theory · Computer Science 2014-11-25 Dmitry S. Ananichev , Vladimir V. Gusev , Mikhail V. Volkov

Reservoir computers (RCs) and recurrent neural networks (RNNs) can mimic any finite-state automaton in theory, and some workers demonstrated that this can hold in practice. We test the capability of generalized linear models, RCs, and Long…

Machine Learning · Computer Science 2019-10-18 S. E. Marzen , J. P. Crutchfield

We present several infinite series of synchronizing automata for which the minimum length of reset words is close to the square of the number of states. All these automata are tightly related to primitive digraphs with large exponent.

Formal Languages and Automata Theory · Computer Science 2014-11-25 Dmitry S. Ananichev , Vladimir V. Gusev , Mikhail V. Volkov

In this article, a novel fast randomized subspace system identification method for estimating combined deterministic-stochastic LTI state-space models, is proposed. The algorithm is especially well-suited to identify high-order and…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Vatsal Kedia , Debraj Chakraborty

Transforming deterministic $\omega$-automata into deterministic parity automata is traditionally done using variants of appearance records. We present a more efficient variant of this approach, tailored to Rabin automata, and several…

Logic in Computer Science · Computer Science 2021-02-02 Jan Křetínský , Tobias Meggendorfer , Clara Waldmann , Maximilian Weininger

Learning agents can make use of Reinforcement Learning (RL) to decide their actions by using a reward function. However, the learning process is greatly influenced by the elect of values of the hyperparameters used in the learning…

Robotics · Computer Science 2022-11-03 Adarsh Sehgal , Nicholas Ward , Hung La , Sushil Louis

We consider an on-line system identification setting, in which new data become available at given time steps. In order to meet real-time estimation requirements, we propose a tailored Bayesian system identification procedure, in which the…

Systems and Control · Computer Science 2016-01-19 Diego Romeres , Giulia Prando , Gianluigi Pillonetto , Alessandro Chiuso

Optimal determinization construction of Streett automata is an important research problem because it is indispensable in numerous applications such as decision problems for tree temporal logics, logic games and system synthesis. This paper…

Formal Languages and Automata Theory · Computer Science 2020-07-01 Cong Tian , Wensheng Wang , Zhenhua Duan

Parametric timed automata are a powerful formalism for reasoning on concurrent real-time systems with unknown or uncertain timing constants. Reducing their state space is a significant way to reduce the inherently large analysis times. We…

Formal Languages and Automata Theory · Computer Science 2022-12-12 Étienne André , Dylan Marinho , Laure Petrucci , Jaco van de Pol

We study synthesis of reactive systems interacting with environments using an infinite data domain. A popular formalism for specifying and modelling such systems is register automata and transducers. They extend finite-state automata by…

Formal Languages and Automata Theory · Computer Science 2022-06-09 Léo Exibard , Emmanuel Filiot , Ayrat Khalimov
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