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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

Recurrent Neural Networks (RNNs) are a class of machine learning algorithms used for applications with time-series and sequential data. Recently, there has been a strong interest in executing RNNs on embedded devices. However, difficulties…

Neural and Evolutionary Computing · Computer Science 2020-03-23 Nesma M. Rezk , Madhura Purnaprajna , Tomas Nordström , Zain Ul-Abdin

This chapter revisits the concept of excitability, a basic system property of neurons. The focus is on excitable systems regarded as behaviors rather than dynamical systems. By this we mean open systems modulated by specific interconnection…

Neurons and Cognition · Quantitative Biology 2017-04-18 Rodolphe Sepulchre , Guillaume Drion , Alessio Franci

A key to deciphering the inner workings of neural networks is understanding what a model has learned. Promising methods for discovering learned features are based on analyzing activation values, whereby current techniques focus on analyzing…

Machine Learning · Computer Science 2022-06-23 Alex Bäuerle , Daniel Jönsson , Timo Ropinski

The ability of deep learning (DL) to improve the practice of medicine and its clinical outcomes faces a looming obstacle: model interpretation. Without description of how outputs are generated, a collaborating physician can neither resolve…

Machine Learning · Computer Science 2020-06-30 Christopher Snyder , Sriram Vishwanath

Explainable artificial intelligence and interpretable machine learning are research domains growing in importance. Yet, the underlying concepts remain somewhat elusive and lack generally agreed definitions. While recent inspiration from…

Artificial Intelligence · Computer Science 2022-09-12 Kacper Sokol , Peter Flach

To be effective in sequential data processing, Recurrent Neural Networks (RNNs) are required to keep track of past events by creating memories. While the relation between memories and the network's hidden state dynamics was established over…

Machine Learning · Computer Science 2019-09-17 Doron Haviv , Alexander Rivkind , Omri Barak

We propose a new family of neural networks to predict the behaviors of physical systems by learning their underpinning constraints. A neural projection operator lies at the heart of our approach, composed of a lightweight network with an…

Neural and Evolutionary Computing · Computer Science 2020-12-15 Shuqi Yang , Xingzhe He , Bo Zhu

Recently, several methods have been proposed to explain the predictions of recurrent neural networks (RNNs), in particular of LSTMs. The goal of these methods is to understand the network's decisions by assigning to each input variable,…

Machine Learning · Computer Science 2019-06-05 Leila Arras , Ahmed Osman , Klaus-Robert Müller , Wojciech Samek

Power systems dominated by renewable energy encounter frequently large, random disturbances, and a critical challenge faced in power-system management is how to anticipate accurately whether the perturbed systems will return to the…

Machine Learning · Computer Science 2023-05-25 Yao Du , Qing Li , Huawei Fan , Meng Zhan , Jinghua Xiao , Xingang Wang

Self-trained autonomous agents developed using machine learning are showing great promise in a variety of control settings, perhaps most remarkably in applications involving autonomous vehicles. The main challenge associated with…

Machine Learning · Computer Science 2022-11-11 Patrik Hammersborg , Inga Strümke

Symbolic regression is a powerful technique that can discover analytical equations that describe data, which can lead to explainable models and generalizability outside of the training data set. In contrast, neural networks have achieved…

Machine Learning · Computer Science 2022-03-10 Samuel Kim , Peter Y. Lu , Srijon Mukherjee , Michael Gilbert , Li Jing , Vladimir Čeperić , Marin Soljačić

In recent years, deep learning has become prevalent to solve applications from multiple domains. Convolutional Neural Networks (CNNs) particularly have demonstrated state of the art performance for the task of image classification. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Meghna P Ayyar , Jenny Benois-Pineau , Akka Zemmari

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

We implement a network-based approach to study expertise in a complex real-world task: operating particle accelerators. Most real-world tasks we learn and perform (e.g., driving cars, operating complex machines, solving mathematical…

Social and Information Networks · Computer Science 2024-12-25 Roussel Rahman , Jane Shtalenkova , Aashwin Ananda Mishra , Wan-Lin Hu

A machine-learning approach called "reservoir computing" has been used successfully for short-term prediction and attractor reconstruction of chaotic dynamical systems from time series data. We present a theoretical framework that describes…

Chaotic Dynamics · Physics 2018-08-01 Zhixin Lu , Brian R. Hunt , Edward Ott

The architecture of a neural network controlling an unknown environment is presented. It is based on a randomly connected recurrent neural network from which both perception and action are simultaneously read and fed back. There are two…

Adaptation and Self-Organizing Systems · Physics 2015-01-20 Mathieu Galtier

Reinforcement Learning (RL) is a popular machine learning paradigm where intelligent agents interact with the environment to fulfill a long-term goal. Driven by the resurgence of deep learning, Deep RL (DRL) has witnessed great success over…

Machine Learning · Computer Science 2025-09-01 Yunpeng Qing , Shunyu Liu , Jie Song , Yang Zhou , Kaixuan Chen , Huiqiong Wang , Mingli Song

After a more than decade-long period of relatively little research activity in the area of recurrent neural networks, several new developments will be reviewed here that have allowed substantial progress both in understanding and in…

Machine Learning · Computer Science 2012-12-17 Yoshua Bengio , Nicolas Boulanger-Lewandowski , Razvan Pascanu

Recurrent neural networks (RNNs) have yielded promising results for both recognizing objects in challenging conditions and modeling aspects of primate vision. However, the representational dynamics of recurrent computations remain poorly…

Computer Vision and Pattern Recognition · Computer Science 2023-10-13 Sushrut Thorat , Adrien Doerig , Tim C. Kietzmann