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We consider some questions about formal languages that arise when inverses of letters, words and languages are defined. The reduced representation of a language over the free monoid is its unique equivalent representation in the free group.…

Formal Languages and Automata Theory · Computer Science 2009-10-26 Thomas Ang , Giovanni Pighizzini , Narad Rampersad , Jeffrey Shallit

Exact representations of real numbers such as the signed digit representation or more generally linear fractional representations or the infinite Gray code represent real numbers as infinite streams of digits. In earlier work by the first…

Logic in Computer Science · Computer Science 2021-03-26 Ulrich Berger , Dieter Spreen

We explore options to use Transformer networks in neural transducer for end-to-end speech recognition. Transformer networks use self-attention for sequence modeling and comes with advantages in parallel computation and capturing contexts.…

Audio and Speech Processing · Electrical Eng. & Systems 2019-10-30 Ching-Feng Yeh , Jay Mahadeokar , Kaustubh Kalgaonkar , Yongqiang Wang , Duc Le , Mahaveer Jain , Kjell Schubert , Christian Fuegen , Michael L. Seltzer

Contrastive learning-based vision-language pre-training approaches, such as CLIP, have demonstrated great success in many vision-language tasks. These methods achieve cross-modal alignment by encoding a matched image-text pair with similar…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Yuxiao Chen , Jianbo Yuan , Yu Tian , Shijie Geng , Xinyu Li , Ding Zhou , Dimitris N. Metaxas , Hongxia Yang

We have constructed an approximate analytical solution of the spectral problem for a finite-dimensional matrix of a special kind, which turns out to be a very simple and quite satisfactory model of the metastable state. Most of the…

Quantum Physics · Physics 2025-06-05 A. I. Dubikovsky , P. K. Silaev

Weighted Finite State Transducers (WFSTs) are versatile data structures that can model a great number of problems, ranging from Automatic Speech Recognition to DNA sequencing. Traditional computer science algorithms are employed when…

Rings and Algebras · Mathematics 2018-11-05 Emmanouil Theodosis , Petros Maragos

An effective formalism for quantum constrained systems is presented which allows manageable derivations of solutions and observables, including a treatment of physical reality conditions without requiring full knowledge of the physical…

Mathematical Physics · Physics 2009-03-12 Martin Bojowald , Barbara Sandhoefer , Aureliano Skirzewski , Artur Tsobanjan

Transformers have supplanted recurrent models in a large number of NLP tasks. However, the differences in their abilities to model different syntactic properties remain largely unknown. Past works suggest that LSTMs generalize very well on…

Computation and Language · Computer Science 2020-10-09 Satwik Bhattamishra , Kabir Ahuja , Navin Goyal

In this paper we would like to present a very short (possibly the shortest) self-interpreter, based on a simplistic Turing-complete imperative language. This interpreter explicitly processes the statements of the language, which means the…

Programming Languages · Computer Science 2007-05-23 Oleg Mazonka , Daniel B. Cristofani

Transformer-based models have achieved strong performance in remote sensing image captioning by capturing long-range dependencies and contextual information. However, their practical deployment is hindered by high computational costs,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Swadhin Das , Divyansh Mundra , Priyanshu Dayal , Raksha Sharma

Finite (word) state transducers extend finite state automata by defining a binary relation over finite words, called rational relation. If the rational relation is the graph of a function, this function is said to be rational. The class of…

Formal Languages and Automata Theory · Computer Science 2025-04-25 Emmanuel Filiot , Ismaël Jecker , Khushraj Madnani , Saina Sunny

Natural languages are believed to be (mildly) context-sensitive. Despite underpinning remarkably capable large language models, transformers are unable to model many context-free language tasks. In an attempt to address this limitation in…

Computation and Language · Computer Science 2024-05-15 Jiaoda Li , Jennifer C. White , Mrinmaya Sachan , Ryan Cotterell

Many NLP applications require models to be interpretable. However, many successful neural architectures, including transformers, still lack effective interpretation methods. A possible solution could rely on building explanations from…

Computation and Language · Computer Science 2024-04-04 Federico Ruggeri , Marco Lippi , Paolo Torroni

We present extensions to a continuous-state dependency parsing method that makes it applicable to morphologically rich languages. Starting with a high-performance transition-based parser that uses long short-term memory (LSTM) recurrent…

Computation and Language · Computer Science 2015-08-12 Miguel Ballesteros , Chris Dyer , Noah A. Smith

Transformers have recently been shown to be capable of reliably performing logical reasoning over facts and rules expressed in natural language, but abductive reasoning - inference to the best explanation of an unexpected observation - has…

Computation and Language · Computer Science 2022-03-24 Nathan Young , Qiming Bao , Joshua Bensemann , Michael Witbrock

This paper describes an algorithm for the compilation of a two (or more) level orthographic or phonological rule notation into finite state transducers. The notation is an alternative to the standard one deriving from Koskenniemi's work: it…

cmp-lg · Computer Science 2008-02-03 Edmund Grimley-Evans , George Anton Kiraz , Stephen G. Pulman

Does the effectiveness of neural language models derive entirely from accurate modeling of surface word co-occurrence statistics, or do these models represent and reason about the world they describe? In BART and T5 transformer language…

Computation and Language · Computer Science 2021-06-03 Belinda Z. Li , Maxwell Nye , Jacob Andreas

In this paper we are interested in studying concise representations of concepts and dependencies, i.e., implications and association rules. Such representations are based on equivalence classes and their elements, i.e., minimal generators,…

Discrete Mathematics · Computer Science 2022-11-28 Aleksey Buzmakov , Egor Dudyrev , Sergei O. Kuznetsov , Tatiana Makhalova , Amedeo Napoli

The transformer structure employed in large language models (LLMs), as a specialized category of deep neural networks (DNNs) featuring attention mechanisms, stands out for their ability to identify and highlight the most relevant aspects of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Matin Mortaheb , Erciyes Karakaya , Mohammad A. Amir Khojastepour , Sennur Ulukus

Learning disentangled representations of high-dimensional data is currently an active research area. However, compared to the field of computer vision, less work has been done for speech processing. In this paper, we provide a review of two…

Sound · Computer Science 2018-08-10 Yuan Gong , Christian Poellabauer