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The proliferation of large-scale and structurally complex data has spurred the integration of machine learning methods into statistical modeling. Recurrent neural networks (RNNs), a foundational class of models for time-dependent data, can…

Machine Learning · Statistics 2026-05-05 Yuxi Cai , Lan Li , Feiqing Huang , Guodong Li

Improving the efficiency of current neural networks and modeling them in biological neural systems have become popular research directions in recent years. Pulse-coupled neural network (PCNN) is a well applicated model for imitating the…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Haoran Liu , Mingzhe Liu , Peng Li , Jiahui Wu , Xin Jiang , Zhuo Zuo , Bingqi Liu

We review several of the most widely used techniques for training recurrent neural networks to approximate dynamical systems, then describe a novel algorithm for this task. The algorithm is based on an earlier theoretical result that…

Neural and Evolutionary Computing · Computer Science 2016-06-09 Adam Trischler , Gabriele MT D'Eleuterio

Sparse deep learning has become a popular technique for improving the performance of deep neural networks in areas such as uncertainty quantification, variable selection, and large-scale network compression. However, most existing research…

Machine Learning · Statistics 2023-10-06 Mingxuan Zhang , Yan Sun , Faming Liang

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

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan

Recurrent neural networks (RNNs) trained on compositional tasks can exhibit functional modularity, in which neurons can be clustered by activity similarity and participation in shared computational subtasks. Unlike brains, these RNNs do not…

Neurons and Cognition · Quantitative Biology 2023-10-12 Ziming Liu , Mikail Khona , Ila R. Fiete , Max Tegmark

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

Neurons can display highly variable dynamics. While such variability presumably supports the wide range of behaviors generated by the organism, their gene expressions are relatively stable in the adult brain. This suggests that neuronal…

Neurons and Cognition · Quantitative Biology 2023-11-07 Lu Mi , Trung Le , Tianxing He , Eli Shlizerman , Uygar Sümbül

In specific motifs of three recurrently connected neurons with probabilistic response, the spontaneous information flux, defined as the mutual information between subsequent states, has been shown to increase by adding ongoing white noise…

Neurons and Cognition · Quantitative Biology 2024-08-13 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

Recurrent neural networks (RNNs) trained on low-dimensional tasks have been widely used to model functional biological networks. However, the solutions found by learning and the effect of initial connectivity are not well understood. Here,…

Neurons and Cognition · Quantitative Biology 2021-05-17 Friedrich Schuessler , Francesca Mastrogiuseppe , Alexis Dubreuil , Srdjan Ostojic , Omri Barak

Connectivity structure shapes neural computation, but inferring this structure from population recordings is degenerate: multiple connectivity structures can generate identical dynamics. Recent work uses low-rank recurrent neural networks…

Neurons and Cognition · Quantitative Biology 2026-03-30 Timothy Doyeon Kim , Ulises Pereira-Obilinovic , Yiliu Wang , Eric Shea-Brown , Uygar Sümbül

Artificial Neural Networks (NNWs) are appealing functions to substitute high dimensional and non-linear history-dependent problems in computational mechanics since they offer the possibility to drastically reduce the computational time.…

Computational Engineering, Finance, and Science · Computer Science 2023-10-11 Ling Wu , Ludovic Noels

Replay in neural networks involves training on sequential data with memorized samples, which counteracts forgetting of previous behavior caused by non-stationarity. We present a method where these auxiliary samples are generated on the fly,…

Machine Learning · Computer Science 2020-12-15 Xu Ji , Joao Henriques , Tinne Tuytelaars , Andrea Vedaldi

Recurrent Neural Networks (RNNs) are a key technology for applications such as automatic speech recognition or machine translation. Unlike conventional feed-forward DNNs, RNNs remember past information to improve the accuracy of future…

Neural and Evolutionary Computing · Computer Science 2022-02-16 Franyell Silfa , Jose-Maria Arnau , Antonio González

Recurrent neural networks (RNNs) have been successfully applied to various natural language processing (NLP) tasks and achieved better results than conventional methods. However, the lack of understanding of the mechanisms behind their…

Computation and Language · Computer Science 2017-10-31 Yao Ming , Shaozu Cao , Ruixiang Zhang , Zhen Li , Yuanzhe Chen , Yangqiu Song , Huamin Qu

Neural networks (NN)-based learning algorithms are strongly affected by the choices of initialization and data distribution. Different optimization strategies have been proposed for improving the learning trajectory and finding a better…

Machine Learning · Computer Science 2021-03-19 Yimeng Min

Feed-forward convolutional neural networks (CNNs) are currently state-of-the-art for object classification tasks such as ImageNet. Further, they are quantitatively accurate models of temporally-averaged responses of neurons in the primate…

Neurons and Cognition · Quantitative Biology 2018-10-30 Aran Nayebi , Daniel Bear , Jonas Kubilius , Kohitij Kar , Surya Ganguli , David Sussillo , James J. DiCarlo , Daniel L. K. Yamins

Knowledge tracing---where a machine models the knowledge of a student as they interact with coursework---is a well established problem in computer supported education. Though effectively modeling student knowledge would have high…

Artificial Intelligence · Computer Science 2015-06-22 Chris Piech , Jonathan Spencer , Jonathan Huang , Surya Ganguli , Mehran Sahami , Leonidas Guibas , Jascha Sohl-Dickstein

We discuss relations between Residual Networks (ResNet), Recurrent Neural Networks (RNNs) and the primate visual cortex. We begin with the observation that a special type of shallow RNN is exactly equivalent to a very deep ResNet with…

Machine Learning · Computer Science 2021-01-05 Qianli Liao , Tomaso Poggio