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We investigate the internal representations that a recurrent neural network (RNN) uses while learning to recognize a regular formal language. Specifically, we train a RNN on positive and negative examples from a regular language, and ask if…

Machine Learning · Computer Science 2019-02-28 Joshua J. Michalenko , Ameesh Shah , Abhinav Verma , Richard G. Baraniuk , Swarat Chaudhuri , Ankit B. Patel

Predicting the next utterance in dialogue is contingent on encoding of users' input text to generate appropriate and relevant response in data-driven approaches. Although the semantic and syntactic quality of the language generated is…

Computation and Language · Computer Science 2021-06-22 Prasanna Parthasarathi , Joelle Pineau , Sarath Chandar

We adapt the vertical and horizontal insertion encodings of Cayley permutations to enumerate restricted growth functions, which are in bijection with unordered set partitions. For both insertion encodings, we fully classify the classes for…

Combinatorics · Mathematics 2026-05-13 Christian Bean , Paul C. Bell , Abigail Ollson

The encoder-decoder models for unsupervised sentence representation learning tend to discard the decoder after being trained on a large unlabelled corpus, since only the encoder is needed to map the input sentence into a vector…

Neural and Evolutionary Computing · Computer Science 2019-06-03 Shuai Tang , Virginia R. de Sa

Pre-trained language models are effective in a variety of natural language tasks, but it has been argued their capabilities fall short of fully learning meaning or understanding language. To understand the extent to which language models…

Software Engineering · Computer Science 2024-02-29 Toufique Ahmed , Dian Yu , Chengxuan Huang , Cathy Wang , Prem Devanbu , Kenji Sagae

A relatively new topic in computability theory is the study of notions of computation that are robust against mistakes on some kind of small set. However, despite the recent popularity of this topic relatively foundational questions about…

Logic · Mathematics 2025-08-12 Peter M. Gerdes

Simulating complex systems remains an ongoing challenge for classical computers, while being recognised as a task where a quantum computer has a natural advantage. In both digital and analogue quantum simulations the system description is…

Quantum Physics · Physics 2025-03-03 Maite Arcos , Harriet Apel , Toby Cubitt

Pre-trained language encoders -- functions that represent text as vectors -- are an integral component of many NLP tasks. We tackle a natural question in language encoder analysis: What does it mean for two encoders to be similar? We…

Automated reasoning and theorem proving have recently become major challenges for machine learning. In other domains, representations that are able to abstract over unimportant transformations, such as abstraction over translations and…

Artificial Intelligence · Computer Science 2021-12-03 Miroslav Olšák , Cezary Kaliszyk , Josef Urban

Feature attributions attempt to highlight what inputs drive predictive power. Good attributions or explanations are thus those that produce inputs that retain this predictive power; accordingly, evaluations of explanations score their…

Machine Learning · Computer Science 2024-12-20 Aahlad Puli , Nhi Nguyen , Rajesh Ranganath

Tokenization is the first - and often underappreciated - layer of computation in language models. While Chain-of-Thought (CoT) prompting enables transformer models to approximate recurrent computation by externalizing intermediate steps, we…

Computation and Language · Computer Science 2025-05-21 Xiang Zhang , Juntai Cao , Jiaqi Wei , Yiwei Xu , Chenyu You

Logic is the main formal language to perform automated reasoning, and it is further a human-interpretable language, at least for small formulae. Learning and optimising logic requirements and rules has always been an important problem in…

Artificial Intelligence · Computer Science 2023-05-08 Gaia Saveri , Luca Bortolussi

In this paper, we investigate the problem of synthesizing computable functions of infinite words over an infinite alphabet (data $\omega$-words). The notion of computability is defined through Turing machines with infinite inputs which can…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Léo Exibard , Emmanuel Filiot , Nathan Lhote , Pierre-Alain Reynier

Speech perception involves storing and integrating sequentially presented items. Recent work in cognitive neuroscience has identified temporal and contextual characteristics in humans' neural encoding of speech that may facilitate this…

Computation and Language · Computer Science 2024-05-15 Oli Danyi Liu , Hao Tang , Naomi Feldman , Sharon Goldwater

Approaches to signal representation and coding theory have traditionally focused on how to best represent signals using parsimonious representations that incur the lowest possible distortion. Classical examples include linear and non-linear…

Information Theory · Computer Science 2015-12-25 Petros T Boufounos , Shantanu Rane , Hassan Mansour

Learning a compact representation of history is critical for planning and generalization in partially observable environments. While meta-reinforcement learning (RL) agents can attain near Bayes-optimal policies, they often fail to learn…

Artificial Intelligence · Computer Science 2025-10-28 Po-Chen Kuo , Han Hou , Will Dabney , Edgar Y. Walker

Predictive coding is a message-passing framework initially developed to model information processing in the brain, and now also topic of research in machine learning due to some interesting properties. One of such properties is the natural…

Machine Learning · Computer Science 2022-12-12 Billy Byiringiro , Tommaso Salvatori , Thomas Lukasiewicz

Transformer components such as non-linear activations and normalization are inherently non-injective, suggesting that different inputs could map to the same output and prevent exact recovery of the input from a model's representations. In…

Looking at some monoids and (semi)rings (natural numbers, integers and p-adic integers), and more generally, residually finite algebras (in a strong sense), we prove the equivalence of two ways for a function on such an algebra to behave…

Logic in Computer Science · Computer Science 2020-04-14 Patrick Cegielski , Serge Grigorieff , Irene Guessarian

Recognizable languages of finite words are part of every computer science cursus, and they are routinely described as a cornerstone for applications and for theory. We would like to briefly explore why that is, and how this word-related…

Logic in Computer Science · Computer Science 2007-05-23 Pascal Weil