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Networks are fundamental for our understanding of complex systems. Interactions between individual nodes in networks generate network motifs - small recurrent patterns that can be considered the network's building-block components,…

Dynamical Systems · Mathematics 2022-09-14 Miri Adler , Ruslan Medzhitov

Spiking activity of neurons engaged in learning and performing a task show complex spatiotemporal dynamics. While the output of recurrent network models can learn to perform various tasks, the possible range of recurrent dynamics that…

Neurons and Cognition · Quantitative Biology 2018-08-21 Christopher Kim , Carson Chow

Synaptic plasticity dynamically shapes the connectivity of neural systems and is key to learning processes in the brain. To what extent the mechanisms of plasticity can be exploited to drive a neural network and make it perform some kind of…

Neurons and Cognition · Quantitative Biology 2024-12-03 Francesco Borra , Simona Cocco , Rémi Monasson

A novel field theoretical approach towards modelling dynamic networking in complex systems is presented. An equilibrium networking formalism which utilises Gaussian fields is adapted to model the dynamics of particles that can bind and…

Soft Condensed Matter · Physics 2025-05-27 Nadine du Toit , Kristian K. Müller-Nedebock

Nonlinear systems driven by recurrent signals are known to exhibit complex dynamical responses which, in the physiological context, can have important functional consequences. One of the simplest biological systems that is exposed to such…

Subcellular Processes · Quantitative Biology 2018-07-04 Tanmay Mitra , Shakti N. Menon , Sitabhra Sinha

Integration of machine learning (ML) into the topology optimization (TO) framework is attracting increasing attention, but data acquisition in data-driven models is prohibitive. Compared with popular ML methods, the physics-informed neural…

Machine Learning · Computer Science 2023-12-13 Jichao Yin , Ziming Wen , Shuhao Li , Yaya Zhanga , Hu Wang

The inner operations of the human brain as a biological processing system remain largely a mystery. Inspired by the function of the human brain and based on the analysis of simple neural network systems in other species, such as Drosophila,…

Neural and Evolutionary Computing · Computer Science 2022-01-20 Zuo-Wei Yeh , Chia-Hua Hsu , Alexander White , Chen-Fu Yeh , Wen-Chieh Wu , Cheng-Te Wang , Chung-Chuan Lo , Kea-Tiong Tang

Intelligent biological systems are characterized by their embodiment in a complex environment and the intimate interplay between their nervous systems and the nonlinear mechanical properties of their bodies. This coordination, in which the…

Machine Learning · Computer Science 2023-02-02 Deniz Oktay , Mehran Mirramezani , Eder Medina , Ryan P. Adams

The models in statistical physics such as an Ising model offer a convenient way to characterize stationary activity of neural populations. Such stationary activity of neurons may be expected for recordings from in vitro slices or…

Neurons and Cognition · Quantitative Biology 2017-05-05 Christian Donner , Klaus Obermayer , Hideaki Shimazaki

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

This article presents a spiking neuroevolutionary system which implements memristors as plastic connections, i.e. whose weights can vary during a trial. The evolutionary design process exploits parameter self-adaptation and variable…

Emerging Technologies · Computer Science 2012-12-17 Gerard Howard , Ella Gale , Larry Bull , Ben de Lacy Costello , Andy Adamatzky

We propose a general framework to extract microscopic interactions from raw configurations with deep neural networks. The approach replaces the modeling Hamiltonian by the neural networks, in which the interaction is encoded. It can be…

Computational Physics · Physics 2020-08-19 Lingxiao Wang , Yin Jiang , Kai Zhou

Recent advances at the intersection of control theory, neuroscience, and machine learning have revealed novel mechanisms by which dynamical systems perform computation. These advances encompass a wide range of conceptual, mathematical, and…

Machine Learning · Computer Science 2026-04-10 Arthur N. Montanari , Francesco Bullo , Dmitry Krotov , Adilson E. Motter

The synaptic connectivity of cortical networks features an overrepresentation of certain wiring motifs compared to simple random-network models. This structure is shaped, in part, by synaptic plasticity that promotes or suppresses…

Neurons and Cognition · Quantitative Biology 2014-12-23 Gabriel Koch Ocker , Ashok Litwin-Kumar , Brent Doiron

Describing the collective activity of neural populations is a daunting task: the number of possible patterns grows exponentially with the number of cells, resulting in practically unlimited complexity. Recent empirical studies, however,…

Neurons and Cognition · Quantitative Biology 2012-02-02 Andrea K. Barreiro , Julijana Gjorgjieva , Fred Rieke , Eric Shea-Brown

In equilibrium, the physical properties of matter are set by the interactions between the constituents. In contrast, the energy input of the individual components controls the behavior of synthetic or living active matter. Great progress…

Soft Condensed Matter · Physics 2025-08-29 Q. Martinet , Y. Li , A. Aubret , E. Hannezo , J. Palacci

Maximum entropy principle (MEP) analysis with few non-zero effective interactions successfully characterizes the distribution of dynamical states of pulse-coupled networks in many experiments, e.g., in neuroscience. To better understand the…

Biological Physics · Physics 2019-01-17 Zhi-Qin John Xu , Douglas Zhou , David Cai

The macroscopic response of short fiber reinforced composites is dependent on an extensive range of microstructural parameters. Thus, micromechanical modeling of these materials is challenging and in some cases, computationally expensive.…

Machine Learning · Computer Science 2022-10-04 J. Friemann , B. Dashtbozorg , M. Fagerström , S. M. Mirkhalaf

Non-reciprocal interactions are a defining feature of many complex systems, biological, ecological, and technological, often pushing them far from equilibrium and enabling rich dynamical responses. These asymmetries can arise at multiple…

Biological Physics · Physics 2026-02-17 Anna Poggialini , Serena Di Santo , Pablo Villegas , Andrea Gabrielli , Miguel A. Muñoz

We study impulse response in 1-D homogeneous micro-granular chains on a linear elastic substrate. Micro-granular interactions are analytically described by the Schwarz contact model which includes nonlinear compressive as well as…

Materials Science · Physics 2016-01-20 Jonathan Bunyan , Alexander F. Vakakis , Sameh Tawfick