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As the sophistication of Machine Learning Force Fields (MLFF) increases to match the complexity of extended molecules and materials, so does the need for tools to properly analyze and assess the practical performance of MLFFs. To go beyond…

Chemical Physics · Physics 2023-08-15 Gregory Fonseca , Igor Poltavsky , Alexandre Tkatchenko

Finitary Idealized Concurrent Algol (FICA) is a prototypical programming language combining functional, imperative, and concurrent computation. There exists a fully abstract game model of FICA, which in principle can be used to prove…

Formal Languages and Automata Theory · Computer Science 2021-01-22 Alex Dixon , Ranko Lazić , Andrzej S. Murawski , Igor Walukiewicz

We define a two-step learner for RFSAs based on an observation table by using an algorithm for minimal DFAs to build a table for the reversal of the language in question and showing that we can derive the minimal RFSA from it after some…

Formal Languages and Automata Theory · Computer Science 2010-08-11 Anna Kasprzik

Local Fourier analysis is a commonly used tool to assess the quality and aid in the construction of geometric multigrid methods for translationally invariant operators. In this paper we automate the process of local Fourier analysis and…

Numerical Analysis · Mathematics 2019-07-26 Karsten Kahl , Nils Kintscher

We propose a method to construct finite-state reactive controllers for systems whose interactions with their adversarial environment are modeled by infinite-duration two-player games over (possibly) infinite graphs. The proposed method…

Formal Languages and Automata Theory · Computer Science 2016-01-08 Daniel Neider , Ufuk Topcu

Hereditarily finite (HF) set theory provides a standard universe of sets, but with no infinite sets. Its utility is demonstrated through a formalisation of the theory of regular languages and finite automata, including the Myhill-Nerode…

Formal Languages and Automata Theory · Computer Science 2015-05-08 Lawrence C. Paulson

Industrial computing devices, in particular cyber-physical, real-time and safety-critical systems, focus on reacting to external events and the need to cooperate with other devices to create a functional system. They are often implemented…

Software Engineering · Computer Science 2017-02-28 Florian Murr , Wolfgang Mauerer

Nonlinearities are crucial for capturing complex input-output relationships especially in deep neural networks. However, nonlinear functions often incur various hardware and compute overheads. Meanwhile, stochastic computing (SC) has…

Machine Learning · Computer Science 2024-05-07 Xincheng Feng , Guodong Shen , Jianhao Hu , Meng Li , Ngai Wong

Here we propose an extension of the (deterministic and the nondeterministic) finite automaton with translucent letters (DFAwtl and NFAwtl), which lies between these automata and their non-returning variants (that is, the nr-DFAwtl and the…

Formal Languages and Automata Theory · Computer Science 2024-09-12 František Mráz , Friedrich Otto

We present the proof assistant homotopy.io for working with finitely-presented semistrict higher categories. The tool runs in the browser with a point-and-click interface, allowing direct manipulation of proof objects via a graphical…

Logic in Computer Science · Computer Science 2024-02-21 Nathan Corbyn , Lukas Heidemann , Nick Hu , Chiara Sarti , Calin Tataru , Jamie Vicary

We revisit the popular \emph{delayed deterministic finite automaton} (\ddfa{}) compression algorithm introduced by Kumar~et~al.~[SIGCOMM 2006] for compressing deterministic finite automata (DFAs) used in intrusion detection systems. This…

Data Structures and Algorithms · Computer Science 2024-11-26 Philip Bille , Inge Li Gørtz , Max Rishøj Pedersen

Modeling of physical systems includes extensive use of software packages that implement the accurate finite element method for solving differential equations considered along with the appropriate initial and boundary conditions. When the…

Computational Engineering, Finance, and Science · Computer Science 2018-03-20 O. Kononenko , I. Kononenko

Affine finite automata (AfA) can be more succinct than probabilistic and quantum finite automata when recognizing some regular languages with bounded-error. In this paper, we improve previously known constructions given for the succinctness…

Formal Languages and Automata Theory · Computer Science 2021-07-01 Abuzer Yakaryılmaz

Grammatical inference consists in learning a formal grammar as a finite state machine or as a set of rewrite rules. In this paper, we are concerned with inferring Nondeterministic Finite Automata (NFA) that must accept some words, and…

Artificial Intelligence · Computer Science 2023-03-17 Tomasz Jastrzab , Frédéric Lardeux , Eric Monfroy

Numerous tasks at the core of statistics, learning and vision areas are specific cases of ill-posed inverse problems. Recently, learning-based (e.g., deep) iterative methods have been empirically shown to be useful for these problems.…

Computer Vision and Pattern Recognition · Computer Science 2018-08-17 Risheng Liu , Shichao Cheng , Yi He , Xin Fan , Zhouchen Lin , Zhongxuan Luo

State reduction of finite automata plays a significant role in improving efficiency in formal verification, pattern recognition, and machine learning, where automata-based models are widely used. While deterministic automata have…

Formal Languages and Automata Theory · Computer Science 2025-12-09 Linh Anh Nguyen , Son Thanh Cao , Stefan Stanimirović

This paper provides a description of the algorithms employed by the Warwick AUTOMATA package for calculating the finite state automata associated with a short-lex automatic group. The aim is to provide an overview of the whole process,…

Group Theory · Mathematics 2008-02-03 Derek F. Holt

Completely random measures (CRMs) and their normalizations (NCRMs) offer flexible models in Bayesian nonparametrics. But their infinite dimensionality presents challenges for inference. Two popular finite approximations are truncated finite…

Methodology · Statistics 2023-11-07 Tin D. Nguyen , Jonathan Huggins , Lorenzo Masoero , Lester Mackey , Tamara Broderick

We describe an extension of the Fanoos XAI system [Bayani et al 2022] which enables the system to learn the appropriate action to take in order to satisfy a user's request for description to be made more or less abstract. Specifically,…

Machine Learning · Computer Science 2022-06-09 David Bayani

We define a model of advised computation by finite automata where the advice is provided on a separate tape. We consider several variants of the model where the advice is deterministic or randomized, the input tape head is allowed…

Formal Languages and Automata Theory · Computer Science 2016-03-27 Uğur Küçük , A. C. Cem Say , Abuzer Yakaryılmaz
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