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We introduce homing vector automata, which are finite automata augmented by a vector that is multiplied at each step by a matrix determined by the current transition, and have to return the vector to its original setting in order to accept…

Formal Languages and Automata Theory · Computer Science 2017-08-01 Özlem Salehi , A. C. Cem Say , Flavio D'Alessandro

We propose a transition-based approach that, by training a single model, can efficiently parse any input sentence with both constituent and dependency trees, supporting both continuous/projective and discontinuous/non-projective syntactic…

Computation and Language · Computer Science 2022-12-26 Daniel Fernández-González , Carlos Gómez-Rodríguez

We examine different generalizations of checking stack automata by allowing multiple input heads and multiple stacks, and characterize their computing power in terms of two-way multi-head finite automata and space-bounded Turing machines.…

Formal Languages and Automata Theory · Computer Science 2022-12-05 Oscar H. Ibarra , Ian McQuillan

We tackle classification based on brain connectivity derived from diffusion magnetic resonance images. We propose a machine-learning model inspired by graph convolutional networks (GCNs), which takes a brain connectivity input graph and…

Neurons and Cognition · Quantitative Biology 2023-09-21 Anees Kazi , Jocelyn Mora , Bruce Fischl , Adrian V. Dalca , Iman Aganj

In a DNA sequence, we have the celebrated Watson-Crick complement $\overline{T}=A$, $\overline{A}=T$, $\overline{C}=G$, and $\overline{G}=C$. Given an integer $m\ge 2$, a secondary structure in a DNA sequence refers to the existence of two…

Information Theory · Computer Science 2023-04-25 Hui Chu , Chen Wang , Yiwei Zhang

We study deterministic tree-walking-storage automata, which are finite-state devices equipped with a tree-like storage. These automata are generalized stack automata, where the linear stack storage is replaced by a non-linear tree-like…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Martin Kutrib , Uwe Meyer

We introduce a new method to tag Multiword Expressions (MWEs) using a linguistically interpretable language-independent deep learning architecture. We specifically target discontinuity, an under-explored aspect that poses a significant…

Computation and Language · Computer Science 2019-04-26 Omid Rohanian , Shiva Taslimipoor , Samaneh Kouchaki , Le An Ha , Ruslan Mitkov

This paper connects the classes of weighted alternating finite automata (WAFA), weighted finite tree automata (WFTA), and polynomial automata (PA). First, we investigate the use of trees in the run semantics for weighted alternating…

Logic in Computer Science · Computer Science 2024-02-14 Gustav Grabolle

A variant of Turing machines is introduced where the tape is replaced by a single tree which can be manipulated in a style akin to purely functional programming. This yields two benefits: first, the extra structure on the tape can be…

Logic in Computer Science · Computer Science 2015-07-17 Arnaud Spiwack

Traditionally, finite automata theory has been used as a framework for the representation of possibly infinite sets of strings. In this work, we introduce the notion of second-order finite automata, a formalism that combines finite automata…

Formal Languages and Automata Theory · Computer Science 2021-08-31 Alexsander Andrade de Melo , Mateus de Oliveira Oliveira

This report defines various operations for weighted multi-tape automata (WMTAs) and describes algorithms that have been implemented for those operations in the WFSC toolkit. Some algorithms are new, others are known or similar to known…

Computation and Language · Computer Science 2009-09-29 Andre Kempe , Franck Guingne , Florent Nicart

We introduce homing vector automata, which are finite automata augmented by a vector that is multiplied at each step by a matrix determined by the current transition, and have to return the vector to its original setting in order to accept…

Formal Languages and Automata Theory · Computer Science 2015-09-21 Özlem Salehi , A. C. Cem Say

Multi-head, key-value attention is the backbone of the widely successful Transformer model and its variants. This attention mechanism uses multiple parallel key-value attention blocks (called heads), each performing two fundamental…

Machine Learning · Computer Science 2022-02-15 Sarthak Mittal , Sharath Chandra Raparthy , Irina Rish , Yoshua Bengio , Guillaume Lajoie

We introduce and study the repetitive variants of the deterministic and the nondeterministic finite automaton with translucent words (DFAwtw and NFAwtw). On seeing the right sentinel, a repetitive NFAwtw need not halt immediately, accepting…

Formal Languages and Automata Theory · Computer Science 2025-07-22 František Mráz , Friedrich Otto

We introduce a model of one-way language acceptors (a variant of a checking stack automaton) and show the following decidability properties: (1) The deterministic version has a decidable membership problem but has an undecidable emptiness…

Formal Languages and Automata Theory · Computer Science 2019-03-08 Oscar H. Ibarra , Ian McQuillan

Multi-head attention advances neural machine translation by working out multiple versions of attention in different subspaces, but the neglect of semantic overlapping between subspaces increases the difficulty of translation and…

Computation and Language · Computer Science 2019-09-04 Shuhao Gu , Yang Feng

We introduce a new type of nonuniform two--way automaton that can use a different transition function for each tape square. We also enhance this model by allowing to shuffle the given input at the beginning of the computation. Then we…

Formal Languages and Automata Theory · Computer Science 2018-02-01 Kamil Khadiev , Rishat Ibrahimov , Abuzer Yakary

This study, we propose a novel Q-space Guided Collaborative Attention Translation Networks (Q-CATN) for multi-shell, high-angular resolution DWI (MS-HARDI) synthesis from flexible q-space sampling, leveraging the commonly acquired…

Image and Video Processing · Electrical Eng. & Systems 2025-05-15 Pengli Zhu , Yingji Fu , Nanguang Chen , Anqi Qiu

Automata-logic connections are pillars of the theory of regular languages. Such connections are harder to obtain for transducers, but important results have been obtained recently for word-to-word transformations, showing that the three…

Formal Languages and Automata Theory · Computer Science 2016-06-02 Luc Dartois , Emmanuel Filiot , Pierre-Alain Reynier , Jean-Marc Talbot

A control logic has a central role in many echo cancellation systems for optimizing the performance of adaptive filters while estimating the echo path. For reliable control, accurate double-talk (DT) and channel change (CC) detectors are…

Signal Processing · Electrical Eng. & Systems 2018-08-15 Tales Imbiriba , José Carlos M. Bermudez , Jean-Yves Tourneret , Neil J. Bershad