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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

Astronomical surveys of celestial sources produce streams of noisy time series measuring flux versus time ("light curves"). Unlike in many other physical domains, however, large (and source-specific) temporal gaps in data arise naturally…

Instrumentation and Methods for Astrophysics · Physics 2017-11-30 Brett Naul , Joshua S. Bloom , Fernando Pérez , Stéfan van der Walt

We explore the architecture of recurrent neural networks (RNNs) by studying the complexity of string sequences it is able to memorize. Symbolic sequences of different complexity are generated to simulate RNN training and study parameter…

Machine Learning · Computer Science 2023-11-17 Roberto Cahuantzi , Xinye Chen , Stefan Güttel

As neural network algorithms show high performance in many applications, their efficient inference on mobile and embedded systems are of great interests. When a single stream recurrent neural network (RNN) is executed for a personal user in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-02 Wonyong Sung , Jinhwan Park

Linear recurrent networks (LRNNs) and linear state space models (SSMs) promise computational and memory efficiency on long-sequence modeling tasks, yet their diagonal state transitions limit expressivity. Dense and nonlinear architectures…

Machine Learning · Computer Science 2026-03-03 Igor Dubinin , Antonio Orvieto , Felix Effenberger

Type 1 Diabetes (T1D) management is a complex task due to many variability factors. Artificial Pancreas (AP) systems have alleviated patient burden by automating insulin delivery through advanced control algorithms. However, the…

Machine Learning · Computer Science 2025-11-03 Stefano De Carli , Nicola Licini , Davide Previtali , Fabio Previdi , Antonio Ferramosca

Recurrent Neural Networks (RNNs) have found widespread applications in machine learning for time series prediction and dynamical systems reconstruction, and experienced a recent renaissance with improved training algorithms and…

Machine Learning · Computer Science 2026-04-14 Lukas Eisenmann , Alena Brändle , Zahra Monfared , Daniel Durstewitz

Despite the great successes of deep learning, the effectiveness of deep neural networks has not been understood at any theoretical depth. This work is motivated by the thrust of developing a deeper understanding of recurrent neural…

Machine Learning · Computer Science 2018-02-12 Dingkun Long , Richong Zhang , Yongyi Mao

To understand the fundamental trade-offs between training stability, temporal dynamics and architectural complexity of recurrent neural networks~(RNNs), we directly analyze RNN architectures using numerical methods of ordinary differential…

Machine Learning · Computer Science 2019-05-01 Murphy Yuezhen Niu , Lior Horesh , Isaac Chuang

Granger causality is a widely-used criterion for analyzing interactions in large-scale networks. As most physical interactions are inherently nonlinear, we consider the problem of inferring the existence of pairwise Granger causality…

Machine Learning · Computer Science 2020-01-15 Saurabh Khanna , Vincent Y. F. Tan

In this work we present a novel recurrent neural network architecture designed to model systems characterized by multiple characteristic timescales in their dynamics. The proposed network is composed by several recurrent groups of neurons…

Neural and Evolutionary Computing · Computer Science 2017-01-19 Filippo Maria Bianchi , Michael Kampffmeyer , Enrico Maiorino , Robert Jenssen

Over the long history of machine learning, which dates back several decades, recurrent neural networks (RNNs) have been used mainly for sequential data and time series and generally with 1D information. Even in some rare studies on 2D…

Computer Vision and Pattern Recognition · Computer Science 2021-03-05 Nguyen Huu Phong , Bernardete Ribeiro

Nowadays, neural network models achieve state-of-the-art results in many areas as computer vision or speech processing. For sequential data, especially for Natural Language Processing (NLP) tasks, Recurrent Neural Networks (RNNs) and their…

Computation and Language · Computer Science 2021-02-23 Elie Azeraf , Emmanuel Monfrini , Emmanuel Vignon , Wojciech Pieczynski

Recurrent Neural Networks (RNNs) have been a prominent concept within artificial intelligence. They are inspired by Biological Neural Networks (BNNs) and provide an intuitive and abstract representation of how BNNs work. Derived from the…

Neural and Evolutionary Computing · Computer Science 2017-03-09 Stefano Nichele , Andreas Molund

Given the inner complexity of the human nervous system, insight into the dynamics of brain activity can be gained from understanding smaller and simpler organisms, such as the nematode C. Elegans. The behavioural and structural biology of…

Neurons and Cognition · Quantitative Biology 2021-07-15 Gonçalo Mestre , Ruxandra Barbulescu , Arlindo L. Oliveira , L. Miguel Silveira

State-of-the-art video deblurring methods often adopt recurrent neural networks to model the temporal dependency between the frames. While the hidden states play key role in delivering information to the next frame, abrupt motion blur tend…

Image and Video Processing · Electrical Eng. & Systems 2022-03-15 Joonkyu Park , Seungjun Nah , Kyoung Mu Lee

Recurrent neural networks have gained widespread use in modeling sequential data. Learning long-term dependencies using these models remains difficult though, due to exploding or vanishing gradients. In this paper, we draw connections…

Machine Learning · Statistics 2019-02-27 Bo Chang , Minmin Chen , Eldad Haber , Ed H. Chi

Progress in deep learning has spawned great successes in many engineering applications. As a prime example, convolutional neural networks, a type of feedforward neural networks, are now approaching -- and sometimes even surpassing -- human…

Computer Vision and Pattern Recognition · Computer Science 2019-06-12 Drew Linsley , Junkyung Kim , Vijay Veerabadran , Thomas Serre

We extend Neural Processes (NPs) to sequential data through Recurrent NPs or RNPs, a family of conditional state space models. RNPs model the state space with Neural Processes. Given time series observed on fast real-world time scales but…

Machine Learning · Computer Science 2019-11-07 Timon Willi , Jonathan Masci , Jürgen Schmidhuber , Christian Osendorfer

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