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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

We present an algorithm for model-based reinforcement learning that combines Bayesian neural networks (BNNs) with random roll-outs and stochastic optimization for policy learning. The BNNs are trained by minimizing $\alpha$-divergences,…

Machine Learning · Statistics 2017-03-09 Stefan Depeweg , José Miguel Hernández-Lobato , Finale Doshi-Velez , Steffen Udluft

The growing prevalence of inverter-based resources (IBRs) for renewable energy integration and electrification greatly challenges power system dynamic analysis. To account for both synchronous generators (SGs) and IBRs, this work presents…

Systems and Control · Electrical Eng. & Systems 2024-09-24 Shaohui Liu , Weiqian Cai , Hao Zhu , Brian Johnson

This work proposes a novel neural network architecture, called the Dynamically Controlled Recurrent Neural Network (DCRNN), specifically designed to model dynamical systems that are governed by ordinary differential equations (ODEs). The…

Neural and Evolutionary Computing · Computer Science 2019-11-04 Yiwei Fu , Samer Saab , Asok Ray , Michael Hauser

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 neural networks (RNNs) are capable of learning features and long term dependencies from sequential and time-series data. The RNNs have a stack of non-linear units where at least one connection between units forms a directed cycle.…

Neural and Evolutionary Computing · Computer Science 2018-02-26 Hojjat Salehinejad , Sharan Sankar , Joseph Barfett , Errol Colak , Shahrokh Valaee

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

Recurrent Neural Networks (RNNs) are popular models of brain function. The typical training strategy is to adjust their input-output behavior so that it matches that of the biological circuit of interest. Even though this strategy ensures…

Neurons and Cognition · Quantitative Biology 2020-11-09 Alessandro Salatiello , Martin A. Giese

The study of deep recurrent neural networks (RNNs) and, in particular, of deep Reservoir Computing (RC) is gaining an increasing research attention in the neural networks community. The recently introduced Deep Echo State Network (DeepESN)…

Machine Learning · Computer Science 2020-09-28 Claudio Gallicchio , Alessio Micheli

This paper studies sequence modeling for prediction tasks with long range dependencies. We propose a new formulation for state space models (SSMs) based on learning linear dynamical systems with the spectral filtering algorithm (Hazan et…

Machine Learning · Computer Science 2024-07-12 Naman Agarwal , Daniel Suo , Xinyi Chen , Elad Hazan

Recurrent Neural Networks (RNNs) offer fast inference on long sequences but are hard to optimize and slow to train. Deep state-space models (SSMs) have recently been shown to perform remarkably well on long sequence modeling tasks, and have…

Machine Learning · Computer Science 2023-03-14 Antonio Orvieto , Samuel L Smith , Albert Gu , Anushan Fernando , Caglar Gulcehre , Razvan Pascanu , Soham De

State-space models are a popular statistical framework for analysing sequential data. Within this framework, particle filters are often used to perform inference on non-linear state-space models. We introduce a new method, StateMixNN, that…

Machine Learning · Computer Science 2025-03-28 Benjamin Cox , Santiago Segarra , Victor Elvira

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

Methodology · Statistics 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

Recurrent neural networks are a widely used class of neural architectures. They have, however, two shortcomings. First, they are often treated as black-box models and as such it is difficult to understand what exactly they learn as well as…

Machine Learning · Computer Science 2022-12-13 Cheng Wang , Carolin Lawrence , Mathias Niepert

Recurrent neural networks are a powerful tool for modeling sequential data, but the dependence of each timestep's computation on the previous timestep's output limits parallelism and makes RNNs unwieldy for very long sequences. We introduce…

Neural and Evolutionary Computing · Computer Science 2016-11-22 James Bradbury , Stephen Merity , Caiming Xiong , Richard Socher

Recurrent neural networks have achieved great success in many NLP tasks. However, they have difficulty in parallelization because of the recurrent structure, so it takes much time to train RNNs. In this paper, we introduce sliced recurrent…

Computation and Language · Computer Science 2018-07-09 Zeping Yu , Gongshen Liu

This paper describes and discusses Bayesian Neural Network (BNN). The paper showcases a few different applications of them for classification and regression problems. BNNs are comprised of a Probabilistic Model and a Neural Network. The…

Machine Learning · Computer Science 2018-01-31 Vikram Mullachery , Aniruddh Khera , Amir Husain

Most contemporary neural learning systems rely on epoch-based optimization and repeated access to historical data, implicitly assuming reversible computation. In contrast, real-world environments often present information as irreversible…

Neural and Evolutionary Computing · Computer Science 2026-02-26 Amama Pathan

State construction is important for learning in partially observable environments. A general purpose strategy for state construction is to learn the state update using a Recurrent Neural Network (RNN), which updates the internal state using…

Machine Learning · Computer Science 2021-02-03 Matthew Schlegel , Andrew Jacobsen , Zaheer Abbas , Andrew Patterson , Adam White , Martha White

Bidirectional recurrent neural networks (RNN) are trained to predict both in the positive and negative time directions simultaneously. They have not been used commonly in unsupervised tasks, because a probabilistic interpretation of the…

Machine Learning · Computer Science 2015-11-03 Mathias Berglund , Tapani Raiko , Mikko Honkala , Leo Kärkkäinen , Akos Vetek , Juha Karhunen