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Reservoir Computing is a machine learning approach that uses the rich repertoire of complex system dynamics for function approximation. Current approaches to reservoir computing use a network of coupled integrating neurons that require a…

Neural and Evolutionary Computing · Computer Science 2025-07-30 Alexander Yeung , Peter DelMastro , Arjun Karuvally , Hava Siegelmann , Edward Rietman , Hananel Hazan

We develop a finite-dimensional sensitivity framework for studying stability in learning systems whose states include representations, parameters, and update variables. The central object is the \emph{Learning Stability Profile}, a…

Machine Learning · Computer Science 2026-05-26 Ronald Katende

Emerging non-volatile memory (NVM), or memristive, devices promise energy-efficient realization of deep learning, when efficiently integrated with mixed-signal integrated circuits on a CMOS substrate. Even though several algorithmic…

Neural and Evolutionary Computing · Computer Science 2018-04-23 Vishal Saxena , Xinyu Wu , Kehan Zhu

A powerful time series analysis modeling technique is presented to describe cycle-to-cycle variability in memristors. These devices show variability linked to the inherent stochasticity of device operation and it needs to be accurately…

Mesoscale and Nanoscale Physics · Physics 2024-02-08 Francisco J. Alonso , David Maldonado , Ana M. Aguilera , Juan B. Roldán

Deep learning methods have demonstrated significant potential for addressing complex nonlinear control problems. For real-world safety-critical tasks, however, it is crucial to provide formal stability guarantees for the designed…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Han Wang , Keyan Miao , Diego Madeira , Antonis Papachristodoulou

Since batch algorithms suffer from lack of proficiency in confronting model mismatches and disturbances, this contribution proposes an adaptive scheme based on continuous Lyapunov function for online robot dynamic identification. This paper…

Robotics · Computer Science 2022-10-28 Pedram Agand , Mahdi Aliyari Shoorehdeli

We show that memristive networks-namely networks of resistors with memory-can efficiently solve shortest-path optimization problems. Indeed, the presence of memory (time non-locality) promotes self organization of the network into the…

Emerging Technologies · Computer Science 2016-06-24 Yuriy V. Pershin , Massimiliano Di Ventra

Memristors are novel non volatile devices that manage to combine storing and processing capabilities in the same physical place.Their nanoscale dimensions and low power consumption enable the further design of various nanoelectronic…

Memristive systems are generalisations of memristors, which are resistors with memory. In this paper, we present a quantum description of memristive systems. Using this model we propose and experimentally demonstrate a simple and practical…

Mesoscale and Nanoscale Physics · Physics 2017-09-11 Ying Li , Gregory W. Holloway , Simon C. Benjamin , G. Andrew D. Briggs , Jonathan Baugh , Jan A. Mol

An essential step toward understanding neural circuits is linking their structure and their dynamics. In general, this relationship can be almost arbitrarily complex. Recent theoretical work has, however, begun to identify some broad…

Neurons and Cognition · Quantitative Biology 2017-03-10 Gabriel Koch Ocker , Yu Hu , Michael A. Buice , Brent Doiron , Krešimir Josić , Robert Rosenbaum , Eric Shea-Brown

Memory effects are ubiquitous in nature and are particularly relevant at the nanoscale where the dynamical properties of electrons and ions strongly depend on the history of the system, at least within certain time scales. We review here…

Mesoscale and Nanoscale Physics · Physics 2011-03-02 Yuriy V. Pershin , Massimiliano Di Ventra

Volatile memristors have recently gained popularity as promising devices for neuromorphic circuits, capable of mimicking the leaky function of neurons and offering advantages over capacitor-based circuits in terms of power dissipation and…

Hardware Architecture · Computer Science 2025-07-22 Tanay Patni , Rishona Daniels , Shahar Kvatinsky

We introduce a gradient modeling framework for memristive systems. Our focus is on memristive systems as they appear in neurophysiology and neuromorphic systems. Revisiting the original definition of Chua, we regard memristive elements as…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Fulvio Forni , Rodolphe Sepulchre

In this paper the qualitative dynamical properties of so-called generalized ribosome flow models are studied. Ribosome flow models known from the literature are generalized by allowing an arbitrary directed network structure between the…

Dynamical Systems · Mathematics 2023-07-19 G. Szederkenyi , M. A. Vaghy

This article proposes a general approach to the simulation and design of a multilayer perceptron (MLP) network on the basis of cross-bar arrays of metal-oxide memristive devices. The proposed approach uses the ANNM theory, tolerance theory,…

Learning with physical systems is an emerging paradigm that seeks to harness the intrinsic nonlinear dynamics of physical substrates for learning. The impetus for a paradigm shift in how hardware is used for computational intelligence stems…

Disordered Systems and Neural Networks · Physics 2026-04-28 Francesco Caravelli , Gianluca Milano , Adam Z. Stieg , Carlo Ricciardi , Simon Anthony Brown , Zdenka Kuncic

Cross-correlations in the activity in neural networks are commonly used to characterize their dynamical states and their anatomical and functional organizations. Yet, how these latter network features affect the spatiotemporal structure of…

Neurons and Cognition · Quantitative Biology 2018-09-26 Ran Darshan , Carl van Vreeswijk , David Hansel

Analog memory is of great importance in neurocomputing technologies field, but still remains difficult to implement. With emergence of memristors in VLSI technologies the idea of designing scalable analog data storage elements finds its…

Emerging Technologies · Computer Science 2017-09-14 Aidana Irmanova , Alex Pappachen James

Acting as artificial synapses, two-terminal memristive devices are considered fundamental building blocks for the realization of artificial neural networks. Organized into large arrays with a top-down approach, memristive devices in…

Recurrent neural networks have been extensively studied in the context of neuroscience and machine learning due to their ability to implement complex computations. While substantial progress in designing effective learning algorithms has…

Neurons and Cognition · Quantitative Biology 2019-01-21 Francesca Mastrogiuseppe , Srdjan Ostojic