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The advantage of recurrent neural networks (RNNs) in learning dependencies between time-series data has distinguished RNNs from other deep learning models. Recently, many advances are proposed in this emerging field. However, there is a…

Neural and Evolutionary Computing · Computer Science 2016-02-16 Hojjat Salehinejad

Recurrent neural networks (RNNs) are non-linear dynamic systems. Previous work believes that RNN may suffer from the phenomenon of chaos, where the system is sensitive to initial states and unpredictable in the long run. In this paper,…

Computation and Language · Computer Science 2020-04-30 Pourya Vakilipourtakalou , Lili Mou

Modeling neural population dynamics underlying noisy single-trial spiking activities is essential for relating neural observation and behavior. A recent non-recurrent method - Neural Data Transformers (NDT) - has shown great success in…

Neurons and Cognition · Quantitative Biology 2022-06-13 Trung Le , Eli Shlizerman

Recently, skeleton based action recognition gains more popularity due to cost-effective depth sensors coupled with real-time skeleton estimation algorithms. Traditional approaches based on handcrafted features are limited to represent the…

Computer Vision and Pattern Recognition · Computer Science 2017-04-13 Hongsong Wang , Liang Wang

The relation between neural activity and behaviorally relevant variables is at the heart of neuroscience research. When strong, this relation is termed a neural representation. There is increasing evidence, however, for partial…

Neurons and Cognition · Quantitative Biology 2024-08-05 Friedrich Schuessler , Francesca Mastrogiuseppe , Srdjan Ostojic , Omri Barak

Modelling is an essential procedure in analyzing and controlling a given logical dynamic system (LDS). It has been proved that deterministic LDS can be modeled as a linear-like system using algebraic state space representation. However, due…

Optimization and Control · Mathematics 2022-03-04 Changxi Li , Jun-e Feng , Daizhan Cheng , Xiao Zhang

Recurrent neural networks (RNNs) are widely used throughout neuroscience as models of local neural activity. Many properties of single RNNs are well characterized theoretically, but experimental neuroscience has moved in the direction of…

Machine Learning · Computer Science 2023-01-31 Leo Kozachkov , Michaela Ennis , Jean-Jacques Slotine

Recurrent networks of spiking neurons (RSNNs) underlie the astounding computing and learning capabilities of the brain. But computing and learning capabilities of RSNN models have remained poor, at least in comparison with artificial neural…

Neural and Evolutionary Computing · Computer Science 2018-12-27 Guillaume Bellec , Darjan Salaj , Anand Subramoney , Robert Legenstein , Wolfgang Maass

Recurrent neural networks (RNNs) provide a theoretical framework for understanding computation in biological neural circuits, yet classical results, such as Hopfield's model of associative memory, rely on symmetric connectivity that…

Disordered Systems and Neural Networks · Physics 2026-02-17 Ramón Nartallo-Kaluarachchi , Renaud Lambiotte , Alain Goriely

Contemporary wisdom based on empirical studies suggests that standard recurrent neural networks (RNNs) do not perform well on tasks requiring long-term memory. However, precise reasoning for this behavior is still unknown. This paper…

Machine Learning · Computer Science 2021-01-21 Melikasadat Emami , Mojtaba Sahraee-Ardakan , Parthe Pandit , Sundeep Rangan , Alyson K. Fletcher

Over the past two decades, an increasing array of control-theoretic methods have been used to study the brain as a complex dynamical system and better understand its structure-function relationship. This article provides an overview on one…

Neurons and Cognition · Quantitative Biology 2024-10-18 Michael McCreesh , Erfan Nozari , Jorge Cortes

Recurrent neural networks (RNNs) have led to breakthroughs in natural language processing and speech recognition, wherein hundreds of millions of people use such tools on a daily basis through smartphones, email servers and other avenues.…

Disordered Systems and Neural Networks · Physics 2020-12-02 Sun-Ting Tsai , En-Jui Kuo , Pratyush Tiwary

Recurrent neural networks (RNNs), temporal convolutions, and neural differential equations (NDEs) are popular families of deep learning models for time-series data, each with unique strengths and tradeoffs in modeling power and…

Machine Learning · Computer Science 2021-10-28 Albert Gu , Isys Johnson , Karan Goel , Khaled Saab , Tri Dao , Atri Rudra , Christopher Ré

Human-motion generation is a long-standing challenging task due to the requirement of accurately modeling complex and diverse dynamic patterns. Most existing methods adopt sequence models such as RNN to directly model transitions in the…

Computer Vision and Pattern Recognition · Computer Science 2019-12-24 Zhenyi Wang , Ping Yu , Yang Zhao , Ruiyi Zhang , Yufan Zhou , Junsong Yuan , Changyou Chen

Recurrent neural networks (RNN) as used in machine learning are commonly formulated in discrete time, i.e. as recursive maps. This brings a lot of advantages for training models on data, e.g. for the purpose of time series prediction or…

Dynamical Systems · Mathematics 2020-07-02 Zahra Monfared , Daniel Durstewitz

Classical methods of solving spatiotemporal dynamical systems include statistical approaches such as autoregressive integrated moving average, which assume linear and stationary relationships between systems' previous outputs. Development…

Dynamical Systems · Mathematics 2022-02-16 Yonggi Park , Kelum Gajamannage , Dilhani I. Jayathilake , Erik M. Bollt

Recurrent neural network-based reinforcement learning systems are capable of complex motor control tasks such as locomotion and manipulation, however, much of their underlying mechanisms still remain difficult to interpret. Our aim is to…

Robotics · Computer Science 2023-06-29 Eugene R. Rush , Christoffer Heckman , Kaushik Jayaram , J. Sean Humbert

Time series datasets are often composed of a variety of sequences from the same domain, but from different entities, such as individuals, products, or organizations. We are interested in how time series models can be specialized to…

Machine Learning · Computer Science 2022-10-11 Alex Bird , Christopher K. I. Williams , Christopher Hawthorne

Complex systems are high-dimensional nonlinear dynamical systems with intricate interactions among their constituents. To make interpretable predictions about their large-scale behavior, it is typically assumed, without a clear statement,…

Adaptation and Self-Organizing Systems · Physics 2024-11-07 Vincent Thibeault , Antoine Allard , Patrick Desrosiers

A context-aware language model uses location, user and/or domain metadata (context) to adapt its predictions. In neural language models, context information is typically represented as an embedding and it is given to the RNN as an…

Computation and Language · Computer Science 2018-05-08 Aaron Jaech , Mari Ostendorf