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Standard Transformers excel at semantic modeling but struggle with rigid sequential logic and state tracking. Theoretical work establishes that self-attention is limited to $\AC^0$ (under hard attention) or $\TC^0$ (under soft attention),…

Machine Learning · Computer Science 2026-02-10 Mehryar Mohri

The Burrows-Wheeler Transform is a string transformation that plays a fundamental role for the design of self-indexing compressed data structures. Over the years, researchers have successfully extended this transformation outside the…

Data Structures and Algorithms · Computer Science 2019-02-05 Raffaele Giancarlo , Giovanni Manzini , Giovanna Rosone , Marinella Sciortino

Recently, Space-Time Memory Network (STM) based methods have achieved state-of-the-art performance in semi-supervised video object segmentation (VOS). A crucial problem in this task is how to model the dependency both among different frames…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Jianbiao Mei , Mengmeng Wang , Yeneng Lin , Yi Yuan , Yong Liu

Polyregular functions form a robust class of string-to-string functions with polynomial growth, as evidenced by Bojanczyk (2018). This class admits numerous descriptions and enjoys several closure properties. Most notably, polyregular…

Formal Languages and Automata Theory · Computer Science 2026-05-08 Thomas Colcombet , Nathan Lhote , Pierre Ohlmann

We investigate deterministic and randomized streaming algorithms for word problems in finitely generated groups and semigroups. For this we introduce the notion of a distinguisher: a randomized streaming algorithm that processes two input…

Group Theory · Mathematics 2026-04-23 Markus Lohrey , Lukas Lück , Alexander Thumm , Julio Xochitemol

Word embeddings are now ubiquitous forms of word representation in natural language processing. There have been applications of word embeddings for monolingual word sense disambiguation (WSD) in English, but few comparisons have been done.…

Computation and Language · Computer Science 2017-04-11 Hong Jin Kang , Tao Chen , Muthu Kumar Chandrasekaran , Min-Yen Kan

We study the sweep complexity of DFA in one-way jumping mode answering several questions posed earlier. This measure is the number of times in the worst case that such machines have to return to the beginning of their input after having…

Formal Languages and Automata Theory · Computer Science 2023-08-15 Szilárd Zsolt Fazekas , Robert Mercaş

Transformer-based language models have demonstrated impressive capabilities across a range of complex reasoning tasks. Prior theoretical work exploring the expressive power of transformers has shown that they can efficiently perform…

Machine Learning · Computer Science 2025-05-30 Zixuan Wang , Eshaan Nichani , Alberto Bietti , Alex Damian , Daniel Hsu , Jason D. Lee , Denny Wu

We lift metrics over words to metrics over word-to-word transductions, by defining the distance between two transductions as the supremum of the distances of their respective outputs over all inputs. This allows to compare transducers…

Formal Languages and Automata Theory · Computer Science 2024-04-26 C. Aiswarya , Amaldev Manuel , Saina Sunny

It is well known that attributed tree transducers can be equipped with "regular look-around" in order to obtain a more robust class of translations. We present two characterizations of this class in terms of macro tree transducers (MTTs):…

Formal Languages and Automata Theory · Computer Science 2022-09-16 Kenji Hashimoto , Sebastian Maneth

We present models for encoding sentences into embedding vectors that specifically target transfer learning to other NLP tasks. The models are efficient and result in accurate performance on diverse transfer tasks. Two variants of the…

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

For challenging state estimation problems arising in domains like vision and robotics, particle-based representations attractively enable temporal reasoning about multiple posterior modes. Particle smoothers offer the potential for more…

Machine Learning · Computer Science 2025-02-18 Ali Younis , Erik B. Sudderth

Transformers are deep architectures that define "in-context mappings" which enable predicting new tokens based on a given set of tokens (such as a prompt in NLP applications or a set of patches for a vision transformer). In this work, we…

Computation and Language · Computer Science 2024-10-04 Takashi Furuya , Maarten V. de Hoop , Gabriel Peyré

Word embeddings have recently been shown to reflect many of the pronounced societal biases (e.g., gender bias or racial bias). Existing studies are, however, limited in scope and do not investigate the consistency of biases across relevant…

Computation and Language · Computer Science 2019-04-30 Anne Lauscher , Goran Glavaš

General embeddings like word2vec, GloVe and ELMo have shown a lot of success in natural language tasks. The embeddings are typically extracted from models that are built on general tasks such as skip-gram models and natural language…

Computation and Language · Computer Science 2020-11-03 Aparna Khare , Srinivas Parthasarathy , Shiva Sundaram

This paper introduces sweeping permutation automata, which move over an input string in alternating left-to-right and right-to-left sweeps and have a bijective transition function. It is proved that these automata recognize the same family…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Maria Radionova , Alexander Okhotin

This paper introduces a robust class of functions from finite words to integers that we call Z-polyregular functions. We show that it admits natural characterizations in terms of logics, Z-rational expressions, Z-rational series and…

Formal Languages and Automata Theory · Computer Science 2023-04-19 Thomas Colcombet , Gaëtan Douéneau-Tabot , Aliaume Lopez

A significant roadblock in multilingual neural language modeling is the lack of labeled non-English data. One potential method for overcoming this issue is learning cross-lingual text representations that can be used to transfer the…

Computation and Language · Computer Science 2019-08-02 Muthuraman Chidambaram , Yinfei Yang , Daniel Cer , Steve Yuan , Yun-Hsuan Sung , Brian Strope , Ray Kurzweil

Bilingual word embeddings have been widely used to capture the similarity of lexical semantics in different human languages. However, many applications, such as cross-lingual semantic search and question answering, can be largely benefited…

Computation and Language · Computer Science 2019-09-10 Muhao Chen , Yingtao Tian , Haochen Chen , Kai-Wei Chang , Steven Skiena , Carlo Zaniolo
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