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Sequence-to-sequence models have achieved impressive results on various tasks. However, they are unsuitable for tasks that require incremental predictions to be made as more data arrives or tasks that have long input sequences and output…

Machine Learning · Computer Science 2016-08-08 Navdeep Jaitly , David Sussillo , Quoc V. Le , Oriol Vinyals , Ilya Sutskever , Samy Bengio

We present an algorithm for active learning of deterministic timed automata with a single clock. The algorithm is within the framework of Angluin's $L^*$ algorithm and inspired by existing work on the active learning of symbolic automata.…

Formal Languages and Automata Theory · Computer Science 2020-03-27 Jie An , Mingshuai Chen , Bohua Zhan , Naijun Zhan , Miaomiao Zhang

Finding collective variables to describe some important coarse-grained information on physical systems, in particular metastable states, remains a key issue in molecular dynamics. Recently, machine learning techniques have been intensively…

Chemical Physics · Physics 2024-03-15 Tony Lelièvre , Thomas Pigeon , Gabriel Stoltz , Wei Zhang

Simultaneously using multimodal inputs from multiple sensors to train segmentors is intuitively advantageous but practically challenging. A key challenge is unimodal bias, where multimodal segmentors over rely on certain modalities, causing…

Computer Vision and Pattern Recognition · Computer Science 2025-05-19 Xu Zheng , Haiwei Xue , Jialei Chen , Yibo Yan , Lutao Jiang , Yuanhuiyi Lyu , Kailun Yang , Linfeng Zhang , Xuming Hu

This is a tutorial on finite automata. We present the standard material on determinization and minimization, as well as an account of the equivalence of finite automata and monadic second-order logic. We conclude with an introduction to the…

Formal Languages and Automata Theory · Computer Science 2012-02-16 Howard Straubing , Pascal Weil

Reduced-order models are central to motion planning and control of quadruped robots, yet existing templates are often hand-crafted for a specific locomotion modality. This motivates the need for automatic methods that extract task-specific,…

Robotics · Computer Science 2026-01-14 Gioele Buriani , Jingyue Liu , Maximilian Stölzle , Cosimo Della Santina , Jiatao Ding

In this paper we develop a method for learning nonlinear systems with multiple outputs and inputs. We begin by modelling the errors of a nominal predictor of the system using a latent variable framework. Then using the maximum likelihood…

Machine Learning · Statistics 2018-05-28 Per Mattsson , Dave Zachariah , Petre Stoica

Divisibility monoids are a natural lattice-theoretical generalization of Mazurkiewicz trace monoids, namely monoids in which the distributivity of the involved divisibility lattices is kept as an hypothesis, but the relations between the…

General Mathematics · Mathematics 2007-05-23 Matthieu Picantin

A general class of dynamical systems which can be trained to operate in classification and generation modes are introduced. A procedure is proposed to plant asymptotic stationary attractors of the deterministic model. Optimizing the…

Disordered Systems and Neural Networks · Physics 2025-10-15 Stefano Gagliani , Feliciano Giuseppe Pacifico , Lorenzo Chicchi , Duccio Fanelli , Diego Febbe , Lorenzo Buffoni , Raffaele Marino

Generalization across domains requires stable structure that links the source and target distributions. Building on causal transportability theory, we study a sequential prediction setting in which the target predictor can be represented as…

Machine Learning · Computer Science 2026-05-28 Kasra Jalaldoust , Elias Bareinboim

We consider ways to construct a transducer for a given set of input word to output symbol pairs. This is motivated by the need for representing game playing programs in a low-level mathematical format that can be analyzed by algebraic…

Formal Languages and Automata Theory · Computer Science 2025-02-13 Attila Egri-Nagy , Chrystopher L. Nehaniv

Pomsets are a promising formalism for concurrent programs based on partially ordered sets. Among this class, series-parallel pomsets admit a convenient linear representation and can be recognized by simple algebraic structures known as…

Formal Languages and Automata Theory · Computer Science 2026-01-21 Adrien Pommellet , Amazigh Amrane , Edgar Delaporte , Geoffroy Du Prey , Oscar Peyron

We present a general model allowing static analysis based on abstract interpretation for systems of communicating processes. Our technique, inspired by Regular Model Checking, represents set of program states as lattice automata and…

Software Engineering · Computer Science 2016-11-29 Vincent Botbol , Emmanuel Chailloux , Tristan Le Gall

Transducers extend finite state automata with outputs, and describe transformations from strings to strings. Sequential transducers, which have a deterministic behaviour regarding their input, are of particular interest. However, unlike…

Logic in Computer Science · Computer Science 2019-03-01 Pierre-Alain Reynier , Didier Villevalois

Automata learning has many applications in artificial intelligence and software engineering. Central to these applications is the $L^*$ algorithm, introduced by Angluin. The $L^*$ algorithm learns deterministic finite-state automata (DFAs)…

Machine Learning · Computer Science 2025-11-18 Sebastian Hagedorn , Martín Muñoz , Cristian Riveros , Rodrigo Toro Icarte

We introduce a new algebraic structure for multi-dimensional compositional embeddings, built on directional non-commutative monoidal operators. The core contribution of this work is this novel framework, which exhibits appealing theoretical…

Machine Learning · Computer Science 2025-05-22 Mahesh Godavarti

Minimizing finite automata, proving trace equivalence of labelled transition systems or representing sofic subshifts involve very similar arguments, which suggests the possibility of a unified formalism. We propose finite states…

Logic in Computer Science · Computer Science 2025-02-11 Titouan Carette , Marc de Visme , Vivien Ducros , Victor Lutfalla , Etienne Moutot

In this paper, we build double theories capturing the idea of nondeterministic behaviors and trajectories. Following Libkind and Myers' Double Operadic Theory of Systems, we construct monoidal semi double categories of interfaces, along…

Category Theory · Mathematics 2026-01-13 Paul Zhongpeng Wang

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Programming Languages · Computer Science 2008-11-04 David Monniaux

Automatic term extraction plays an essential role in domain language understanding and several natural language processing downstream tasks. In this paper, we propose a comparative study on the predictive power of Transformers-based…

Computation and Language · Computer Science 2022-12-13 Hanh Thi Hong Tran , Matej Martinc , Andraz Pelicon , Antoine Doucet , Senja Pollak
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