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Machine learning recently proved efficient in learning differential equations and dynamical systems from data. However, the data is commonly assumed to originate from a single never-changing system. In contrast, when modeling real-world…

Machine Learning · Computer Science 2022-06-28 Leonard Bereska , Efstratios Gavves

Devices based on arrays of interconnected magnetic nano-rings with emergent magnetization dynamics have recently been proposed for use in reservoir computing applications, but for them to be computationally useful it must be possible to…

Reservoir Computing (RC) with physical systems requires an understanding of the underlying structure and internal dynamics of the specific physical reservoir. In this study, physical nano-electronic networks with neuromorphic dynamics are…

Emerging Technologies · Computer Science 2025-11-20 Yinhao Xu , Georg A. Gottwald , Zdenka Kuncic

Complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate networks. The ability to predict sudden changes in the…

Adaptation and Self-Organizing Systems · Physics 2021-07-07 Deniz Eroglu , Matteo Tanzi , Sebastian van Strien , Tiago Pereira

Advances in artificial intelligence are driven by technologies inspired by the brain, but these technologies are orders of magnitude less powerful and energy efficient than biological systems. Inspired by the nonlinear dynamics of neural…

The evolutionary balance between innate and learned behaviors is highly intricate, and different organisms have found different solutions to this problem. We hypothesize that the emergence and exact form of learning behaviors is naturally…

Neurons and Cognition · Quantitative Biology 2023-03-14 Emmanouil Giannakakis , Sina Khajehabdollahi , Anna Levina

In this paper, we introduce a paradigm for reservoir computing (RC) that leverages a pool of cultured biological neurons as the reservoir substrate, creating a biological reservoir computing (BRC). This system operates similarly to an echo…

Reservoir computing has been shown to be a useful framework for predicting critical transitions of a dynamical system if the bifurcation parameter is also provided as an input. Its utility is significant because in real-world scenarios, the…

Adaptation and Self-Organizing Systems · Physics 2024-07-23 Dishant Sisodia , Sarika Jalan

This paper underscores the conjecture that intrinsic computation is maximal in systems at the "edge of chaos." We study the relationship between dynamics and computational capability in Random Boolean Networks (RBN) for Reservoir Computing…

Adaptation and Self-Organizing Systems · Physics 2013-04-23 David Snyder , Alireza Goudarzi , Christof Teuscher

Biological nervous systems consist of networks of diverse, sophisticated information processors in the form of neurons of different classes. In most artificial neural networks (ANNs), neural computation is abstracted to an activation…

Neural and Evolutionary Computing · Computer Science 2023-06-12 Joachim Winther Pedersen , Sebastian Risi

Advancing our knowledge of how the brain processes information remains a key challenge in neuroscience. This thesis combines three different approaches to the study of the dynamics of neural networks and their encoding representations: a…

Neurons and Cognition · Quantitative Biology 2024-02-21 Guillermo B. Morales

Reservoir computing is a machine learning paradigm that uses a structure called a reservoir, which has nonlinearities and short-term memory. In recent years, reservoir computing has expanded to new functions such as the autonomous…

Machine Learning · Computer Science 2023-07-05 Kohei Tsuchiyama , André Röhm , Takatomo Mihana , Ryoichi Horisaki , Makoto Naruse

Reservoir computing is a machine learning paradigm that uses a high-dimensional dynamical system, or \emph{reservoir}, to approximate and predict time series data. The scale, speed and power usage of reservoir computers could be enhanced by…

Neural and Evolutionary Computing · Computer Science 2022-11-16 Forrest C. Sheldon , Artemy Kolchinsky , Francesco Caravelli

Living systems, from single cells to higher vertebrates, receive a continuous stream of non-stationary inputs that they sense, e.g., via cell surface receptors or sensory organs. Integrating these time-varying, multi-sensory, and often…

Other Quantitative Biology · Quantitative Biology 2024-04-17 Daniel Koch , Akhilesh Nandan , Gayathri Ramesan , Aneta Koseska

While evolution has inspired algorithmic methods of heuristic optimisation, little has been done in the way of using concepts of computation to advance our understanding of salient aspects of biological phenomena. We argue that under…

Computational Complexity · Computer Science 2012-06-05 Hector Zenil , James A. R. Marshall

Neural networks often have identifiable computational structures - components of the network which perform an interpretable algorithm or task - but the mechanisms by which these emerge and the best methods for detecting these structures are…

Machine Learning · Computer Science 2025-04-17 Rohan Hitchcock , Gary W. Delaney , Jonathan H. Manton , Richard Scalzo , Jingge Zhu

Reservoir computing is a machine learning approach that can generate a surrogate model of a dynamical system. It can learn the underlying dynamical system using fewer trainable parameters and hence smaller training data sets than competing…

Machine Learning · Computer Science 2022-11-23 Daniel J. Gauthier , Ingo Fischer , André Röhm

The learning dynamics of biological brains and artificial neural networks are of interest to both neuroscience and machine learning. A key difference between them is that neural networks are often trained from a randomly initialized state…

Neural and Evolutionary Computing · Computer Science 2025-05-19 Benjamin Midler , Alejandro Pan Vazquez

Machine learning approaches have recently been leveraged as a substitute or an aid for physical/mathematical modeling approaches to dynamical systems. To develop an efficient machine learning method dedicated to modeling and prediction of…

Machine Learning · Computer Science 2022-08-01 Gouhei Tanaka , Tadayoshi Matsumori , Hiroaki Yoshida , Kazuyuki Aihara

Deciphering the underpinnings of the dynamical processes leading to information transmission, processing, and storing in the brain is a crucial challenge in neuroscience. An inspiring but speculative theoretical idea is that such dynamics…

Statistical Mechanics · Physics 2023-07-21 Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz