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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

Neural-network quantum states have emerged as a powerful variational framework for quantum many-body systems, with recent progress often driven by massively parallel architectures such as transformers. Recurrent neural network quantum…

Strongly Correlated Electrons · Physics 2026-05-14 Ejaaz Merali , Mohamed Hibat-Allah , Mohammad Kohandel , Richard T. Scalettar , Ehsan Khatami

Transformer-based models show their effectiveness across multiple domains and tasks. The self-attention allows to combine information from all sequence elements into context-aware representations. However, global and local information has…

Computation and Language · Computer Science 2022-12-09 Aydar Bulatov , Yuri Kuratov , Mikhail S. Burtsev

Reservoir computers (RCs) provide a computationally efficient alternative to deep learning while also offering a framework for incorporating brain-inspired computational principles. By using an internal neural network with random, fixed…

Neural and Evolutionary Computing · Computer Science 2025-04-18 Keshav Srinivasan , Dietmar Plenz , Michelle Girvan

Reservoir Computing (RC) refers to a Recurrent Neural Networks (RNNs) framework, frequently used for sequence learning and time series prediction. The RC system consists of a random fixed-weight RNN (the input-hidden reservoir layer) and a…

Machine Learning · Computer Science 2017-06-27 M. Andrecut

High-dimensional data is common in multiple areas, such as health care and genomics, where the number of features can be tens of thousands. In such scenarios, the large number of features often leads to inefficient learning. Constraint…

Machine Learning · Statistics 2023-06-13 Kartheek Bondugula , Santiago Mazuelas , Aritz Pérez

The use of min-max optimization in adversarial training of deep neural network classifiers and training of generative adversarial networks has motivated the study of nonconvex-nonconcave optimization objectives, which frequently arise in…

Optimization and Control · Mathematics 2021-03-02 Jelena Diakonikolas , Constantinos Daskalakis , Michael I. Jordan

Recurrent Neural Networks (RNNs) have been widely used in processing natural language tasks and achieve huge success. Traditional RNNs usually treat each token in a sentence uniformly and equally. However, this may miss the rich semantic…

Computation and Language · Computer Science 2018-11-14 Chang Xu , Weiran Huang , Hongwei Wang , Gang Wang , Tie-Yan Liu

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

Recurrent neural networks are used to forecast time series in finance, climate, language, and from many other domains. Reservoir computers are a particularly easily trainable form of recurrent neural network. Recently, a "next-generation"…

Machine Learning · Computer Science 2023-03-28 Sarah E. Marzen , Paul M. Riechers , James P. Crutchfield

We demonstrate the first Recurrent Neural Network architecture for learning Signal Temporal Logic formulas, and present the first systematic comparison of formula inference methods. Legacy systems embed much expert knowledge which is not…

Machine Learning · Computer Science 2022-08-11 Nicole Fronda , Houssam Abbas

Neural network controllers have become popular in control tasks thanks to their flexibility and expressivity. Stability is a crucial property for safety-critical dynamical systems, while stabilization of partially observed systems, in many…

Systems and Control · Electrical Eng. & Systems 2021-12-08 Fangda Gu , He Yin , Laurent El Ghaoui , Murat Arcak , Peter Seiler , Ming Jin

In past years, the minimax type single-level optimization formulation and its variations have been widely utilized to address Generative Adversarial Networks (GANs). Unfortunately, it has been proved that these alternating learning…

Machine Learning · Computer Science 2022-05-23 Risheng Liu , Jiaxin Gao , Xuan Liu , Xin Fan

Reservoir computing is a powerful framework for real-time information processing, characterized by its high computational ability and quick learning, with applications ranging from machine learning to biological systems. In this paper, we…

Disordered Systems and Neural Networks · Physics 2025-10-24 Shotaro Takasu , Toshio Aoyagi

We introduce a new class of time-continuous recurrent neural network models. Instead of declaring a learning system's dynamics by implicit nonlinearities, we construct networks of linear first-order dynamical systems modulated via nonlinear…

Machine Learning · Computer Science 2020-12-16 Ramin Hasani , Mathias Lechner , Alexander Amini , Daniela Rus , Radu Grosu

In this paper, we elaborate over the well-known interpretability issue in echo state networks. The idea is to investigate the dynamics of reservoir neurons with time-series analysis techniques taken from research on complex systems.…

Data Analysis, Statistics and Probability · Physics 2016-11-21 Filippo Maria Bianchi , Lorenzo Livi , Cesare Alippi

Continuous time recurrent neural networks (CTRNN) are systems of coupled ordinary differential equations that are simple enough to be insightful for describing learning and computation, from both biological and machine learning viewpoints.…

Dynamical Systems · Mathematics 2021-06-18 Peter Ashwin , Claire M Postlethwaite

We apply a general recurrent neural network (RNN) encoder framework to community question answering (cQA) tasks. Our approach does not rely on any linguistic processing, and can be applied to different languages or domains. Further…

Computation and Language · Computer Science 2016-03-24 Wei-Ning Hsu , Yu Zhang , James Glass

Recurrent neural networks (RNNs) are powerful architectures to model sequential data, due to their capability to learn short and long-term dependencies between the basic elements of a sequence. Nonetheless, popular tasks such as speech or…

We investigate how neural networks can learn and process languages with hierarchical, compositional semantics. To this end, we define the artificial task of processing nested arithmetic expressions, and study whether different types of…

Computation and Language · Computer Science 2018-04-23 Dieuwke Hupkes , Sara Veldhoen , Willem Zuidema
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