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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

Many important phenomena in biochemistry and biology exploit dynamical features such as multi-stability, oscillations, and chaos. Construction of novel chemical systems with such rich dynamics is a challenging problem central to the fields…

Molecular Networks · Quantitative Biology 2026-05-04 Alexander Dack , Benjamin Qureshi , Thomas E. Ouldridge , Tomislav Plesa

In this paper, we study two classes of models, Recursive Neural Networks (RvNNs) and Transformers, and show that a tight connection between them emerges from the recent development of two recent models - Continuous Recursive Neural Networks…

Machine Learning · Computer Science 2024-09-04 Jishnu Ray Chowdhury , Cornelia Caragea

Model-based Reinforcement Learning and Control have demonstrated great potential in various sequential decision making problem domains, including in robotics settings. However, real-world robotics systems often present challenges that limit…

Machine Learning · Computer Science 2023-10-24 Achkan Salehi , Steffen Rühl , Stephane Doncieux

Modern automation systems rely on closed loop control, wherein a controller interacts with a controlled process, based on observations. These systems are increasingly complex, yet most controllers are linear Proportional-Integral-Derivative…

Machine Learning · Computer Science 2021-01-27 Johannes Günther , Elias Reichensdörfer , Patrick M. Pilarski , Klaus Diepold

Neural networks are powerful tools for data-driven modeling of complex dynamical systems, enhancing predictive capability for control applications. However, their inherent nonlinearity and black-box nature challenge control designs that…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Xiao Li , Tianhao Wei , Changliu Liu , Anouck Girard , Ilya Kolmanovsky

We present a new model, Predictive State Recurrent Neural Networks (PSRNNs), for filtering and prediction in dynamical systems. PSRNNs draw on insights from both Recurrent Neural Networks (RNNs) and Predictive State Representations (PSRs),…

Machine Learning · Statistics 2017-06-20 Carlton Downey , Ahmed Hefny , Boyue Li , Byron Boots , Geoffrey Gordon

As a surrogate for computationally intensive meso-scale simulation of woven composites, this article presents Recurrent Neural Network (RNN) models. Leveraging the power of transfer learning, the initialization challenges and sparse data…

Materials Science · Physics 2024-07-08 Ehsan Ghane , Martin Fagerström , Mohsen Mirkhalaf

Data-driven modeling and machine learning are widely used to model the behavior of dynamic systems. One application is the residual evaluation of technical systems where model predictions are compared with measurement data to create…

Machine Learning · Computer Science 2023-05-09 Arman Mohammadi , Theodor Westny , Daniel Jung , Mattias Krysander

Sophisticated multilayer neural networks have achieved state of the art results on multiple supervised tasks. However, successful applications of such multilayer networks to control have so far been limited largely to the perception portion…

Machine Learning · Computer Science 2013-11-08 Sergey Levine

This paper presents a control architecture in which a direct adaptive control technique is used within the model predictive control framework, using the concurrent learning based approach, to compensate for model uncertainties. At each time…

Optimization and Control · Mathematics 2015-02-02 Olugbenga Moses Anubi

This paper proposes a Recurrent Neural Network (RNN) controller for lane-keeping systems, effectively handling model uncertainties and disturbances. First, quadratic constraints cover the nonlinearities brought by the RNN controller, and…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Ying Shuai Quan , Jin Sung Kim , Chung Choo Chung

Soft robots pose difficulties in terms of control, requiring novel strategies to effectively manipulate their compliant structures. Model-based approaches face challenges due to the high dimensionality and nonlinearities such as hysteresis…

The control of high-dimensional systems, such as soft robots, requires models that faithfully capture complex dynamics while remaining computationally tractable. This work presents a framework that integrates Graph Neural Network…

Recurrent neural networks (RNNs) such as long short-term memory and gated recurrent units are pivotal building blocks across a broad spectrum of sequence modeling problems. This paper proposes a recurrently controlled recurrent network…

Computation and Language · Computer Science 2018-11-27 Yi Tay , Luu Anh Tuan , Siu Cheung Hui

Recurrent Neural Networks (RNNs) have been proven to be effective in modeling sequential data and they have been applied to boost a variety of tasks such as document classification, speech recognition and machine translation. Most of…

Computation and Language · Computer Science 2018-08-21 Zhiwei Wang , Yao Ma , Dawei Yin , Jiliang Tang

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

Recent work suggests goal-driven training of neural networks can be used to model neural activity in the brain. While response properties of neurons in artificial neural networks bear similarities to those in the brain, the network…

Neurons and Cognition · Quantitative Biology 2020-05-19 Christopher J. Cueva , Peter Y. Wang , Matthew Chin , Xue-Xin Wei

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

Discrete-time modeling of acoustic, mechanical and electrical systems is a prominent topic in the musical signal processing literature. Such models are mostly derived by discretizing a mathematical model, given in terms of ordinary or…