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Here, we consider the open issue of how the energy efficiency of neural information transmission process in a general neuronal array constrains the network size, and how well this network size ensures the neural information being…

Neurons and Cognition · Quantitative Biology 2015-07-31 Lianchun Yu , Chi Zhang , Liwei Liu , Yuguo Yu

Spiking neural networks (SNNs) have emerged as energy-efficient neural networks with temporal information. SNNs have shown a superior efficiency on neuromorphic devices, but the devices are susceptible to noise, which hinders them from…

Neural and Evolutionary Computing · Computer Science 2021-04-23 Seongsik Park , Dongjin Lee , Sungroh Yoon

Many networks in the brain are sparsely connected, and the brain eliminates synapses during development and learning. How could the brain decide which synapses to prune? In a recurrent network, determining the importance of a synapse…

Neurons and Cognition · Quantitative Biology 2021-07-20 Eli Moore , Rishidev Chaudhuri

Chaotic oscillators have gained significant attention in the research community because of their ability to reproduce and investigate the complex dynamics of real-world phenomena. Recent advances in the design of chaotic oscillator…

Chaotic Dynamics · Physics 2026-03-19 Toni Ivas , Georgios Violakis , Roland Richter , Patrik Hoffmann , Sergey Shevchik

The activity generated by an ensemble of neurons is affected by various noise sources. It is a well-recognised challenge to understand the effects of noise on the stability of such networks. We demonstrate that the patterns of activity…

Analysis of PDEs · Mathematics 2022-05-19 Jose A. Carrillo , Helge Holden , Susanne Solem

Anatomical studies demonstrate that brain reformats input information to generate reliable responses for performing computations. However, it remains unclear how neural circuits encode complex spatio-temporal patterns. We show that neural…

Neurons and Cognition · Quantitative Biology 2018-02-20 Priyadarshini Panda , Kaushik Roy

The stability of complex networks, from power grids to biological systems, is crucial for their proper functioning. It is thus important to control such systems to maintain or restore their stability. Traditional approaches rely on…

Optimization and Control · Mathematics 2025-09-23 Yuzhen Qin , Fabio Pasqualetti , Danielle S. Bassett , Marcel van Gerven

Neural networks are usually over-parameterized with significant redundancy in the number of required neurons which results in unnecessary computation and memory usage at inference time. One common approach to address this issue is to prune…

Neural and Evolutionary Computing · Computer Science 2016-11-21 Mohammad Babaeizadeh , Paris Smaragdis , Roy H. Campbell

Many biological, technological, and social systems can be effectively described as networks of interacting subsystems. Typically, these networks are not isolated objects, but interact with their environment through both signals and…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Amirhossein Nazerian , Malbor Asllani , Melvyn Tyloo , Wai Lim Ku , Francesco Sorrentino

We study and analyze the fundamental aspects of noise propagation in recurrent as well as deep, multi-layer networks. The main focus of our study are neural networks in analogue hardware, yet the methodology provides insight for networks in…

Emerging Technologies · Computer Science 2020-06-29 Nadezhda Semenova , Xavier Porte , Louis Andreoli , Maxime Jacquot , Laurent Larger , Daniel Brunner

We study the role of fluctuations in percolation of sparse complex networks. To this end we consider two random correlated realizations of the initial damage of the nodes and we evaluate the fraction of nodes that are expected to remain in…

Physics and Society · Physics 2017-07-12 Ginestra Bianconi

The reliable operation of large-scale electric power networks is increasingly challenging, particularly with the integration of stochastic renewable generation. In this work, we address the problem of minimizing network transients by…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Gerald Ogbonna , David Bindel , Lindsay C. Anderson

Transport networks are crucial to the functioning of natural and technological systems. Nature features transport networks that are adaptive over a vast range of parameters, thus providing an impressive level of robustness in supply.…

Adaptation and Self-Organizing Systems · Physics 2017-11-28 Erik Andreas Martens , Konstantin Klemm

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

Optimization and Control · Mathematics 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo

In the present study we consider a random network of Kuramoto oscillators with inertia in order to mimic and investigate the dynamics emerging in high-voltage power grids. The corresponding natural frequencies are assumed to be bimodally…

Adaptation and Self-Organizing Systems · Physics 2020-01-08 Liudmila Tumash , Simona Olmi , Eckehard Schöll

Stochastic resonance is a phenomenon in which noise enhances the response of a system to an input signal. The brain is an example of a system that has to detect and transmit signals in a noisy environment, suggesting that it is a good…

Neurons and Cognition · Quantitative Biology 2017-10-16 Bertha Vázquez-Rodríguez , Andrea Avena-Koenigsberger , Olaf Sporns , Alessandra Griffa , Patric Hagmann , Hernán Larralde

Natural and artificial audition can in principle acquire different solutions to a given problem. The constraints of the task, however, can nudge the cognitive science and engineering of audition to qualitatively converge, suggesting that a…

Sound · Computer Science 2023-04-20 Federico Adolfi , Jeffrey S. Bowers , David Poeppel

Cells are constantly exposed to fluctuating environmental conditions. External signals are sensed, processed and integrated by cellular signal transduction networks, which translate input signals into specific cellular responses by means of…

Molecular Networks · Quantitative Biology 2012-05-29 Pau Rué , Núria Domedel-Puig , Jordi Garcia-Ojalvo , Antonio J. Pons

Despite the incredible complexity of our brains' neural networks, theoretical descriptions of neural dynamics have led to profound insights into possible network states and dynamics. It remains challenging to develop theories that apply to…

Neurons and Cognition · Quantitative Biology 2022-07-06 Jonas Ranft , Benjamin Lindner

Synchronizing phase frustrated Kuramoto oscillators, a challenge that has found applications from neuronal networks to the power grid, is an eluding problem, as even small phase-lags cause the oscillators to avoid synchronization. Here we…

Adaptation and Self-Organizing Systems · Physics 2018-01-19 Prosenjit Kundu , Chittaranjan Hens , Baruch Barzel , Pinaki Pal
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