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Studying language models (LMs) in terms of well-understood formalisms allows us to precisely characterize their abilities and limitations. Previous work has investigated the representational capacity of recurrent neural network (RNN) LMs in…

Computation and Language · Computer Science 2023-12-20 Anej Svete , Ryan Cotterell

Recent work by Hewitt et al. (2020) provides an interpretation of the empirical success of recurrent neural networks (RNNs) as language models (LMs). It shows that RNNs can efficiently represent bounded hierarchical structures that are…

Computation and Language · Computer Science 2024-06-19 Anej Svete , Robin Shing Moon Chan , Ryan Cotterell

This work investigates the computational expressivity of language models (LMs) based on recurrent neural networks (RNNs). Siegelmann and Sontag (1992) famously showed that RNNs with rational weights and hidden states and unbounded…

Computation and Language · Computer Science 2024-05-31 Franz Nowak , Anej Svete , Li Du , Ryan Cotterell

Recently, recurrent models based on linear state space models (SSMs) have shown promising performance in language modeling (LM), competititve with transformers. However, there is little understanding of the in-principle abilities of such…

Computation and Language · Computer Science 2025-12-15 Yash Sarrof , Yana Veitsman , Michael Hahn

Characterizing the computational power of neural network architectures in terms of formal language theory remains a crucial line of research, as it describes lower and upper bounds on the reasoning capabilities of modern AI. However, when…

Computation and Language · Computer Science 2025-04-15 Alexandra Butoi , Ghazal Khalighinejad , Anej Svete , Josef Valvoda , Ryan Cotterell , Brian DuSell

Existing work has analyzed the representational capacity of the transformer architecture by means of formal models of computation. However, the focus so far has been on analyzing the architecture in terms of language \emph{acceptance}. We…

Computation and Language · Computer Science 2024-06-21 Anej Svete , Ryan Cotterell

In this work we explore recent advances in Recurrent Neural Networks for large scale Language Modeling, a task central to language understanding. We extend current models to deal with two key challenges present in this task: corpora and…

Computation and Language · Computer Science 2016-02-15 Rafal Jozefowicz , Oriol Vinyals , Mike Schuster , Noam Shazeer , Yonghui Wu

Recurrent Neural Networks (RNN) have obtained excellent result in many natural language processing (NLP) tasks. However, understanding and interpreting the source of this success remains a challenge. In this paper, we propose Recurrent…

Computation and Language · Computer Science 2016-04-25 Ke Tran , Arianna Bisazza , Christof Monz

We investigate the computational complexity of various problems for simple recurrent neural networks (RNNs) as formal models for recognizing weighted languages. We focus on the single-layer, ReLU-activation, rational-weight RNNs with…

Formal Languages and Automata Theory · Computer Science 2018-03-06 Yining Chen , Sorcha Gilroy , Andreas Maletti , Jonathan May , Kevin Knight

The need of interpreting Deep Learning (DL) models has led, during the past years, to a proliferation of works concerned by this issue. Among strategies which aim at shedding some light on how information is represented internally in DL…

Machine Learning · Computer Science 2020-04-02 Reda Marzouk , Colin de la Higuera

This work aims at shedding some light on connections between finite state machines (FSMs), and recurrent neural networks (RNNs). Examined connections in this master's thesis is threefold: the extractability of finite state machines from…

Machine Learning · Computer Science 2020-09-15 Reda Marzouk

Neural language models (LMs) based on recurrent neural networks (RNN) are some of the most successful word and character-level LMs. Why do they work so well, in particular better than linear neural LMs? Possible explanations are that RNNs…

Machine Learning · Statistics 2013-06-21 Marius Pachitariu , Maneesh Sahani

Recurrent Neural Networks (RNNs) are theoretically Turing-complete and established themselves as a dominant model for language processing. Yet, there still remains an uncertainty regarding their language learning capabilities. In this…

Computation and Language · Computer Science 2018-11-05 Mirac Suzgun , Yonatan Belinkov , Stuart M. Shieber

Recurrent Neural Networks (RNNs), and specifically a variant with Long Short-Term Memory (LSTM), are enjoying renewed interest as a result of successful applications in a wide range of machine learning problems that involve sequential data.…

Machine Learning · Computer Science 2015-11-18 Andrej Karpathy , Justin Johnson , Li Fei-Fei

This work attempts to explain the types of computation that neural networks can perform by relating them to automata. We first define what it means for a real-time network with bounded precision to accept a language. A measure of network…

Computation and Language · Computer Science 2021-01-06 William Merrill

State-space models (SSMs) and transformers dominate the language modeling landscape. However, they are constrained to a lower computational complexity than classical recurrent neural networks (RNNs), limiting their expressivity. In…

Machine Learning · Computer Science 2025-06-13 Mark Schöne , Babak Rahmani , Heiner Kremer , Fabian Falck , Hitesh Ballani , Jannes Gladrow

In recent studies, linear recurrent neural networks (LRNNs) have achieved Transformer-level performance in natural language and long-range modeling, while offering rapid parallel training and constant inference cost. With the resurgence of…

Computation and Language · Computer Science 2024-04-10 Ting-Han Fan , Ta-Chung Chi , Alexander I. Rudnicky

Recurrent neural networks (RNNs) are a powerful model for sequential data. End-to-end training methods such as Connectionist Temporal Classification make it possible to train RNNs for sequence labelling problems where the input-output…

Neural and Evolutionary Computing · Computer Science 2013-03-26 Alex Graves , Abdel-rahman Mohamed , Geoffrey Hinton

This paper presents a comprehensive evaluation of the capabilities of Large Language Models (LLMs) in metaphor interpretation across multiple datasets, tasks, and prompt configurations. Although metaphor processing has gained significant…

Computation and Language · Computer Science 2025-07-22 Elisa Sanchez-Bayona , Rodrigo Agerri

Recurrent neural networks (RNNs) have reached striking performance in many natural language processing tasks. This has renewed interest in whether these generic sequence processing devices are inducing genuine linguistic knowledge. Nearly…

Computation and Language · Computer Science 2019-06-19 Michael Hahn , Marco Baroni
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