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The concept of multifunctionality has enabled reservoir computers (RCs), a type of dynamical system that is typically realised as an artificial neural network, to reconstruct multiple attractors simultaneously using the same set of trained…

Dynamical Systems · Mathematics 2024-08-29 Andrew Flynn , Andreas Amann

Multifunctionality is ubiquitous in biological neurons. Several studies have translated the concept to artificial neural networks as well. Recently, multifunctionality in reservoir computing (RC) has gained the widespread attention of…

Chaotic Dynamics · Physics 2025-04-18 Swarnendu Mandal , Kazuyuki Aihara

Multifunctionality is a well observed phenomenological feature of biological neural networks and considered to be of fundamental importance to the survival of certain species over time. These multifunctional neural networks are capable of…

Neural and Evolutionary Computing · Computer Science 2021-02-03 Andrew Flynn , Vassilios A. Tsachouridis , Andreas Amann

Multifunctional neural networks are capable of performing more than one task without changing any network connections. In this paper we explore the performance of a continuous-time, leaky-integrator, and next-generation `reservoir computer'…

Machine Learning · Computer Science 2022-05-24 Andrew Flynn , Oliver Heilmann , Daniel Köglmayr , Vassilios A. Tsachouridis , Christoph Räth , Andreas Amann

Multifunctionality describes the capacity for a neural network to perform multiple mutually exclusive tasks without altering its network connections; and is an emerging area of interest in the reservoir computing machine learning paradigm.…

Machine Learning · Computer Science 2023-06-06 Jacob Morra , Andrew Flynn , Andreas Amann , Mark Daley

Whereas the power of reservoir computing (RC) in inferring chaotic systems has been well established in the literature, the studies are mostly restricted to mono-functional machines where the training and testing data are acquired from the…

Chaotic Dynamics · Physics 2024-09-26 Yao Du , Haibo Luo , Jianmin Guo , Jinghua Xiao , Yizhen Yu , Xingang Wang

Artificial Intelligence has advanced significantly in recent years thanks to innovations in the design and training of artificial neural networks (ANNs). Despite these advancements, we still understand relatively little about how elementary…

Dynamical Systems · Mathematics 2025-08-05 Jack O'Hagan , Andrew Keane , Andrew Flynn

Reservoir computing can embed attractors into random neural networks (RNNs), generating a ``mirror'' of a target attractor because of its inherent symmetrical constraints. In these RNNs, we report that an attractor-merging crisis…

Chaotic Dynamics · Physics 2025-09-19 Tempei Kabayama , Motomasa Komuro , Yasuo Kuniyoshi , Kazuyuki Aihara , Kohei Nakajima

Artificial neural networks (ANNs), which are inspired by the brain, are a central pillar in the ongoing breakthrough in artificial intelligence. In recent years, researchers have examined mechanical implementations of ANNs, denoted as…

Neural and Evolutionary Computing · Computer Science 2024-06-04 Eran Ben-Haim , Sefi Givli , Yizhar Or , Amir Gat

Recurrent Neural Networks (RNNs) have been a prominent concept within artificial intelligence. They are inspired by Biological Neural Networks (BNNs) and provide an intuitive and abstract representation of how BNNs work. Derived from the…

Neural and Evolutionary Computing · Computer Science 2017-03-09 Stefano Nichele , Andreas Molund

Recurrent neural networks (RNN) are powerful tools to explain how attractors may emerge from noisy, high-dimensional dynamics. We study here how to learn the ~N^(2) pairwise interactions in a RNN with N neurons to embed L manifolds of…

Disordered Systems and Neural Networks · Physics 2020-02-05 Aldo Battista , Rémi Monasson

Neural systems are well known for their ability to learn and store information as memories. Even more impressive is their ability to abstract these memories to create complex internal representations, enabling advanced functions such as the…

Neural and Evolutionary Computing · Computer Science 2024-09-20 Lindsay M. Smith , Jason Z. Kim , Zhixin Lu , Dani S. Bassett

Recurrent Neural Networks (RNNs) have found widespread applications in machine learning for time series prediction and dynamical systems reconstruction, and experienced a recent renaissance with improved training algorithms and…

Machine Learning · Computer Science 2026-04-14 Lukas Eisenmann , Alena Brändle , Zahra Monfared , Daniel Durstewitz

In biological evolution complex neural structures grow from a handful of cellular ingredients. As genomes in nature are bounded in size, this complexity is achieved by a growth process where cells communicate locally to decide whether to…

Neural and Evolutionary Computing · Computer Science 2024-05-15 Eleni Nisioti , Erwan Plantec , Milton Montero , Joachim Winther Pedersen , Sebastian Risi

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

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

For reaction networks arising in systems biology, the capacity for two or more steady states, that is, multistationarity, is an important property that underlies biochemical switches. Another property receiving much attention recently is…

Probability · Mathematics 2023-01-26 Badal Joshi , Nidhi Kaihnsa , Tung D. Nguyen , Anne Shiu

Reservoir computing provides a time and cost-efficient alternative to traditional learning methods.Critical regimes, known as the "edge of chaos," have been found to optimize computational performance in binary neural networks. However,…

Neurons and Cognition · Quantitative Biology 2023-08-22 Emmanuel Calvet , Jean Rouat , Bertrand Reulet

Machine learning has become a widely popular and successful paradigm, including in data-driven science and engineering. A major application problem is data-driven forecasting of future states from a complex dynamical. Artificial neural…

Data Analysis, Statistics and Probability · Physics 2021-03-19 Erik Bollt

In this paper, we present a neuro-inspired approach to reservoir computing (RC) in which a network of in vitro cultured cortical neurons serves as the physical reservoir. Rather than relying on artificial recurrent models to approximate…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Luca Ciampi , Ludovico Iannello , Fabrizio Tonelli , Gabriele Lagani , Angelo Di Garbo , Federico Cremisi , Giuseppe Amato
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