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We provide a general framework for studying recurrent neural networks (RNNs) trained by injecting noise into hidden states. Specifically, we consider RNNs that can be viewed as discretizations of stochastic differential equations driven by…

Machine Learning · Statistics 2021-12-02 Soon Hoe Lim , N. Benjamin Erichson , Liam Hodgkinson , Michael W. Mahoney

Behavior can be described as a temporal sequence of actions driven by neural activity. To learn complex sequential patterns in neural networks, memories of past activities need to persist on significantly longer timescales than the…

Neurons and Cognition · Quantitative Biology 2024-09-30 Laura Kriener , Kristin Völk , Ben von Hünerbein , Federico Benitez , Walter Senn , Mihai A. Petrovici

Several variants of recurrent neural networks (RNNs) with orthogonal or unitary recurrent matrices have recently been developed to mitigate the vanishing/exploding gradient problem and to model long-term dependencies of sequences. However,…

Machine Learning · Computer Science 2019-11-20 Kyle Helfrich , Qiang Ye

Recurrent neural networks (RNNs) have shown outstanding performance on processing sequence data. However, they suffer from long training time, which demands parallel implementations of the training procedure. Parallelization of the training…

Neural and Evolutionary Computing · Computer Science 2015-11-25 Kyuyeon Hwang , Wonyong Sung

Understanding how animals learn is a central challenge in neuroscience, with growing relevance to the development of animal- or human-aligned artificial intelligence. However, existing approaches tend to assume fixed parametric forms for…

Machine Learning · Computer Science 2026-02-06 Yuhan Helena Liu , Victor Geadah , Jonathan Pillow

Recurrent Neural Networks (RNNs) can be seriously impacted by the initial parameters assignment, which may result in poor generalization performances on new unseen data. With the objective to tackle this crucial issue, in the context of RNN…

Machine Learning · Computer Science 2019-11-05 Dino Ienco , Roberto Interdonato , Raffaele Gaetano

The neural mechanism of memory has a very close relation with the problem of representation in artificial intelligence. In this paper a computational model was proposed to simulate the network of neurons in brain and how they process…

Neurons and Cognition · Quantitative Biology 2020-12-02 Hui Wei

Neural populations exhibit complex recurrent structures that drive behavior, while continuously receiving and integrating external inputs from sensory stimuli, upstream regions, and neurostimulation. However, neural populations are often…

Neurons and Cognition · Quantitative Biology 2025-09-24 Parsa Vahidi , Omid G. Sani , Maryam M. Shanechi

Recurrent Neural Networks (RNNs) are powerful models for sequential data that have the potential to learn long-term dependencies. However, they are computationally expensive to train and difficult to parallelize. Recent work has shown that…

Machine Learning · Statistics 2015-10-07 César Laurent , Gabriel Pereyra , Philémon Brakel , Ying Zhang , Yoshua Bengio

We study the approximation properties and optimization dynamics of recurrent neural networks (RNNs) when applied to learn input-output relationships in temporal data. We consider the simple but representative setting of using…

Machine Learning · Computer Science 2024-09-02 Zhong Li , Jiequn Han , Weinan E , Qianxiao Li

Recurrent neural networks (RNNs) are difficult to train on sequence processing tasks, not only because input noise may be amplified through feedback, but also because any inaccuracy in the weights has similar consequences as input noise. We…

Neural and Evolutionary Computing · Computer Science 2018-05-29 Michael C. Mozer , Denis Kazakov , Robert V. Lindsey

Can neural networks learn goal-directed behaviour using similar strategies to the brain, by combining the relationships between the current state of the organism and the consequences of future actions? Recent work has shown that recurrent…

Neurons and Cognition · Quantitative Biology 2021-01-21 Justin Jude , Matthias H. Hennig

The ability to store and manipulate information is a hallmark of computational systems. Whereas computers are carefully engineered to represent and perform mathematical operations on structured data, neurobiological systems perform…

Disordered Systems and Neural Networks · Physics 2020-05-05 Jason Z. Kim , Zhixin Lu , Erfan Nozari , George J. Pappas , Danielle S. Bassett

A novel strategy to automated classification is introduced which exploits a fully trained dynamical system to steer items belonging to different categories toward distinct asymptotic attractors. These latter are incorporated into the model…

Disordered Systems and Neural Networks · Physics 2023-02-01 Lorenzo Chicchi , Duccio Fanelli , Lorenzo Giambagli , Lorenzo Buffoni , Timoteo Carletti

Recurrent neural networks (RNNs) have been extraordinarily successful for prediction with sequential data. To tackle highly variable and noisy real-world data, we introduce Particle Filter Recurrent Neural Networks (PF-RNNs), a new RNN…

Machine Learning · Computer Science 2019-12-03 Xiao Ma , Peter Karkus , David Hsu , Wee Sun Lee

Recurrent neural networks (RNNs) were designed for dealing with time-series data and have recently been used for creating predictive models from functional magnetic resonance imaging (fMRI) data. However, gathering large fMRI datasets for…

Image and Video Processing · Electrical Eng. & Systems 2019-10-16 Nicha C. Dvornek , Xiaoxiao Li , Juntang Zhuang , James S. Duncan

Many real-world datasets are time series that are sequentially collected and contain rich temporal information. Thus, a common interest in practice is to capture dynamics of time series and predict their future evolutions. To this end, the…

Machine Learning · Computer Science 2025-05-12 Yifan Zhou , Yibo Wang , Chao Shang

Reservoir Computing (RC) is a well-known strategy for designing Recurrent Neural Networks featured by striking efficiency of training. The crucial aspect of RC is to properly instantiate the hidden recurrent layer that serves as dynamical…

Machine Learning · Computer Science 2020-06-05 Claudio Gallicchio

Task-trained recurrent neural networks (RNNs) are widely used in neuroscience and machine learning to model dynamical computations. To gain mechanistic insight into how neural systems solve tasks, prior work often reverse-engineers…

Machine Learning · Computer Science 2026-02-11 Ann Huang , Satpreet H. Singh , Flavio Martinelli , Kanaka Rajan

Training recurrent neural networks (RNNs) with standard backpropagation through time (BPTT) can be challenging, especially in the presence of long input sequences. A practical alternative to reduce computational and memory overhead is to…

Machine Learning · Computer Science 2026-02-12 Julian D. Schiller , Malte Heinrich , Victor G. Lopez , Matthias A. Müller