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Using the diagrammatic method, we derive a set of self-consistent equations that describe eigenvalue distributions of large correlated asymmetric random matrices. The matrix elements can have different variances and be correlated with each…

Disordered Systems and Neural Networks · Physics 2016-12-21 Alexander Kuczala , Tatyana O. Sharpee

Solving the intricate quantum behavior of interacting particles is key to unlocking the mysteries of condensed matter, but capturing their complex correlations across different scales remains a monumental challenge. We introduce a neural…

Neuromorphic computing, commonly understood as a computing approach built upon neurons, synapses, and their dynamics, as opposed to Boolean gates, is gaining large mindshare due to its direct application in solving current and future…

Emerging Technologies · Computer Science 2023-05-09 Md Golam Morshed , Samiran Ganguly , Avik W. Ghosh

This chapter provides a comprehensive survey of the researches and motivations for hardware implementation of reservoir computing (RC) on neuromorphic electronic systems. Due to its computational efficiency and the fact that training…

Emerging Technologies · Computer Science 2020-08-27 Fatemeh Hadaeghi

Probabilistic circuits (PCs) have gained prominence in recent years as a versatile framework for discussing probabilistic models that support tractable queries and are yet expressive enough to model complex probability distributions.…

Machine Learning · Computer Science 2024-03-12 Pedro Zuidberg Dos Martires

Neuromorphic computing has come to refer to a variety of brain-inspired computers, devices, and models that contrast the pervasive von Neumann computer architecture. This biologically inspired approach has created highly connected synthetic…

Neural and Evolutionary Computing · Computer Science 2017-05-22 Catherine D. Schuman , Thomas E. Potok , Robert M. Patton , J. Douglas Birdwell , Mark E. Dean , Garrett S. Rose , James S. Plank

Reservoir Computing (RC) is an appealing approach in Machine Learning that combines the high computational capabilities of Recurrent Neural Networks with a fast and easy training method. Likewise, successful implementation of neuro-inspired…

Adaptation and Self-Organizing Systems · Physics 2021-07-13 Guillermo B. Morales , Claudio R. Mirasso , Miguel C. Soriano

Emulating spiking neural networks on analog neuromorphic hardware offers several advantages over simulating them on conventional computers, particularly in terms of speed and energy consumption. However, this usually comes at the cost of…

Coupled learning is a contrastive scheme for tuning the properties of individual elements within a network in order to achieve desired functionality of the system. It takes advantage of physics both to learn using local rules and to…

Soft Condensed Matter · Physics 2024-07-09 Lauren E. Altman , Menachem Stern , Andrea J. Liu , Douglas J. Durian

Neuromorphic computing aspires to overcome the intrinsic inefficiencies of von Neumann architectures by co-locating memory and computation in physical devices that emulate biological neurons and synapses. Memristive materials stand at the…

Mesoscale and Nanoscale Physics · Physics 2026-03-06 Salvador Cardona-Serra

Percolation is an important topic in climate, physics, materials science, epidemiology, finance, and so on. Prediction of percolation thresholds with machine learning methods remains challenging. In this paper, we build a powerful graph…

Statistical Mechanics · Physics 2023-04-10 Hua Tian , Lirong Zhang , Youjin Deng , Wanzhou Zhang

Synergies between wireless communications and artificial intelligence are increasingly motivating research at the intersection of the two fields. On the one hand, the presence of more and more wirelessly connected devices, each with its own…

Neural and Evolutionary Computing · Computer Science 2020-12-10 Nicolas Skatchkovsky , Hyeryung Jang , Osvaldo Simeone

Many biological tissues feature a heterogeneous network of fibers whose tensile and bending rigidity contribute substantially to these tissues' elastic properties. Rigidity percolation has emerged as a important paradigm for relating these…

The highly parallel process in the neuron networks is mediated through a mass of synaptic interconnections. Mimicking single synapse behaviors and highly paralleled neural networks has become more and more fascinating and important. Here,…

Materials Science · Physics 2013-01-11 Changjin Wan , Guodong Wu , Liqiang Guo , Liqiang Zhu , Qing Wan

Many of today's most interesting questions involve understanding and interpreting complex relationships within graph-based structures. For instance, in materials science, predicting material properties often relies on analyzing the…

Emerging Technologies · Computer Science 2024-05-08 Derek Gobin , Shay Snyder , Guojing Cong , Shruti R. Kulkarni , Catherine Schuman , Maryam Parsa

The unprecedented dissemination of edge devices is accompanied by a growing demand for neuromorphic chips that can process time-series data natively without cloud support. Echo state network (ESN) is a class of recurrent neural networks…

Machine Learning · Computer Science 2025-03-04 Abdullah M. Zyarah , Alaa M. Abdul-Hadi , Dhireesha Kudithipudi

Improvements in technique in conjunction with an evolution of the theoretical and conceptual approach to neuronal networks provide a new perspective on living neurons in culture. Organization and connectivity are being measured…

Disordered Systems and Neural Networks · Physics 2010-08-02 Jean-Pierre Eckmann , Ofer Feinerman , Leor Gruendlinger , Elisha Moses , Jordi Soriano , Tsvi Tlusty

A computer model is described which is used to assess the dynamical complexity of a class of networks of spiking neurons with small-world properties. Networks are constructed by forming an initially segregated set of highly intra-connected…

Biological Physics · Physics 2009-11-13 Murray Shanahan

Probabilistic Circuits (PCs) are a promising avenue for probabilistic modeling. They combine advantages of probabilistic graphical models (PGMs) with those of neural networks (NNs). Crucially, however, they are tractable probabilistic…

Machine Learning · Computer Science 2021-06-07 Anji Liu , Guy Van den Broeck

Spiking neural networks excel at event-driven sensing. Yet, maintaining task-relevant context over long timescales both algorithmically and in hardware, while respecting both tight energy and memory budgets, remains a core challenge in the…

Neural and Evolutionary Computing · Computer Science 2026-05-05 Pengfei Sun , Zhe Su , Jascha Achterberg , Giacomo Indiveri , Dan F. M. Goodman , Danyal Akarca
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