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Recurrent neural network (RNN)'s architecture is a key factor influencing its performance. We propose algorithms to optimize hidden sizes under running time constraint. We convert the discrete optimization into a subset selection problem.…

Machine Learning · Statistics 2018-02-22 Junqi Jin , Ziang Yan , Kun Fu , Nan Jiang , Changshui Zhang

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

Many large-scale production networks include thousands types of final products and tens to hundreds thousands types of raw materials and intermediate products. These networks face complicated inventory management decisions, which are often…

Optimization and Control · Mathematics 2022-01-19 Tan Wan , L. Jeff Hong

In this paper, we show that, under mild assumptions, input-output behavior of a continous-time recurrent neural network (RNN) can be represented by a rational or polynomial nonlinear system. The assumptions concern the activation function…

Optimization and Control · Mathematics 2019-03-19 Thibault Defourneau , Mihaly Petreczky

The computational properties of neural systems are often thought to be implemented in terms of their network dynamics. Hence, recovering the system dynamics from experimentally observed neuronal time series, like multiple single-unit (MSU)…

Neurons and Cognition · Quantitative Biology 2017-07-05 Daniel Durstewitz

For many years, Evolutionary Algorithms (EAs) have been applied to improve Neural Networks (NNs) architectures. They have been used for solving different problems, such as training the networks (adjusting the weights), designing network…

Neural and Evolutionary Computing · Computer Science 2022-11-14 Sebastián Basterrech , Tarun Kumar Sharma

Learning with recurrent neural networks (RNNs) on long sequences is a notoriously difficult task. There are three major challenges: 1) complex dependencies, 2) vanishing and exploding gradients, and 3) efficient parallelization. In this…

Artificial Intelligence · Computer Science 2017-11-03 Shiyu Chang , Yang Zhang , Wei Han , Mo Yu , Xiaoxiao Guo , Wei Tan , Xiaodong Cui , Michael Witbrock , Mark Hasegawa-Johnson , Thomas S. Huang

Temporal point process (TPP) is an important tool for modeling and predicting irregularly timed events across various domains. Recently, the recurrent neural network (RNN)-based TPPs have shown practical advantages over traditional…

Machine Learning · Statistics 2024-06-04 Zhiheng Chen , Guanhua Fang , Wen Yu

Conformal prediction offers a powerful framework for building distribution-free prediction intervals for exchangeable data. Existing methods that extend conformal prediction to sequential data rely on fitting a relatively complex model to…

Machine Learning · Computer Science 2026-03-03 Roberto Neglia , Andrea Cini , Michael M. Bronstein , Filippo Maria Bianchi

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

Recurrent neural networks (RNNs) provide a powerful approach in neuroscience to infer latent dynamics in neural populations and to generate hypotheses about the neural computations underlying behavior. However, past work has focused on…

Machine Learning · Computer Science 2025-10-30 Elia Torre , Michele Viscione , Lucas Pompe , Benjamin F Grewe , Valerio Mante

Reservoir Computing (RC), a type of recurrent random neural network, is a powerful framework for modeling complex and chaotic dynamics. However, its autonomous (closed-loop) operation is often plagued by inherent instability. Moreover,…

Chaotic Dynamics · Physics 2026-02-12 Satoshi Oishi , Hiroshi Yamashita , Hideyuki Suzuki , Sho Shirasaka

Training robots to operate effectively in environments with uncertain states, such as ambiguous object properties or unpredictable interactions, remains a longstanding challenge in robotics. Imitation learning methods typically rely on…

Robotics · Computer Science 2025-10-14 Hyogo Hiruma , Hiroshi Ito , Tetsuya Ogata

This technical note proposes the decentralized-partial-consensus optimization with inequality constraints, and a continuous-time algorithm based on multiple interconnected recurrent neural networks (RNNs) is derived to solve the obtained…

Optimization and Control · Mathematics 2021-03-23 Zicong Xia , Yang Liu , Jianlong Qiu , Qihua Ruan , Jinde Cao

Recursive Neural Networks (RvNNs), which compose sequences according to their underlying hierarchical syntactic structure, have performed well in several natural language processing tasks compared to similar models without structural…

Computation and Language · Computer Science 2021-06-14 Jishnu Ray Chowdhury , Cornelia Caragea

Neural operators have emerged as powerful tools for learning solution operators of partial differential equations. However, in time-dependent problems, standard training strategies such as teacher forcing introduce a mismatch between…

Machine Learning · Computer Science 2025-05-28 Zaijun Ye , Chen-Song Zhang , Wansheng Wang

Dynamic linear regression models forecast the values of a time series based on a linear combination of a set of exogenous time series while incorporating a time series process for the error term. This error process is often assumed to…

Methodology · Statistics 2026-04-02 Thomas Goodwin , Matias Quiroz , Robert Kohn

The prediction of rail crack length propagation plays a crucial role in the maintenance and safety assessment of materials and structures. Traditional methods rely on physical models and empirical equations such as Paris law, which often…

Machine Learning · Computer Science 2023-09-06 Sara Yasmine Ouerk , Olivier Vo Van , Mouadh Yagoubi

Although recurrent neural networks (RNNs) are state-of-the-art in numerous sequential decision-making tasks, there has been little research on explaining their predictions. In this work, we present TimeSHAP, a model-agnostic recurrent…

Machine Learning · Computer Science 2021-06-29 João Bento , Pedro Saleiro , André F. Cruz , Mário A. T. Figueiredo , Pedro Bizarro

Sequence models, and particularly Linear Recurrent Neural Networks (LRNNs) of the form $\mathbf{h}_{k+1} = \mathbf{W} \mathbf{h}_{k} + \mathbf{y}_k + \mathbf{b}$, are widely applicable in time-series analysis for dynamical systems, yet, as…

Dynamical Systems · Mathematics 2026-05-27 Fisher Ng , J. Nathan Kutz