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Binarized neural networks, or BNNs, show great promise in edge-side applications with resource limited hardware, but raise the concerns of reduced accuracy. Motivated by the complex neural networks, in this paper we introduce complex…

Neural and Evolutionary Computing · Computer Science 2021-04-21 Yanfei Li , Tong Geng , Ang Li , Huimin Yu

We consider a mesoscopic model for a spatially extended FitzHugh-Nagumo neural network and prove that in the regime where short-range interactions dominate, the probability density of the potential throughout the network concentrates into a…

Analysis of PDEs · Mathematics 2023-06-13 Alain Blaustein

Using the FitzHugh-Nagumo equations to represent the oscillatory electrical behavior of beta-cells, we develop a coupled oscillator network model with cubic lattice topology, showing that the emergence of pacemakers or hubs in the system…

Biological Physics · Physics 2022-06-28 Stefano Scialla , Alessandro Loppini , Marco Patriarca , Els Heinsalu

Sensory predictions by the brain in all modalities take place as a result of bottom-up and top-down connections both in the neocortex and between the neocortex and the thalamus. The bottom-up connections in the cortex are responsible for…

Neural and Evolutionary Computing · Computer Science 2020-04-14 Leendert A Remmelzwaal , Amit K Mishra , George F R Ellis

With the rapid advancement in cyber-physical systems, the increasing number of sensors has significantly complicated manual monitoring of system states. Consequently, graph-based time-series anomaly detection methods have gained attention…

Machine Learning · Computer Science 2024-01-26 Hayoung Jo , Seong-Whan Lee

Accurate single-cell analysis is critical for diagnostics, immunomonitoring, and cell therapy, but coincident events - where multiple cells overlap in a sensing zone - can severely compromise signal fidelity. We present a hybrid framework…

Signal Processing · Electrical Eng. & Systems 2025-07-18 Moritz Leuthner , Rafael Vorländer , Oliver Hayden

Electrocardiogram (ECG)-based biometric recognition has emerged as a promising solution for secure authentication and liveness detection. However, most existing methods rely on unimodal deep learning architectures that independently process…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Arioua , Islameddine , Benzaoui , Amir , Zeroual , Abdelhafid , Houam , Lotfi

Brain-like intelligent systems need brain-like learning methods. Equilibrium Propagation (EP) is a biologically plausible learning framework with strong potential for brain-inspired computing hardware. However, existing im-plementations of…

Neural and Evolutionary Computing · Computer Science 2026-05-08 Zhuo Liu , Tao Chen

We use the embedding formalism to construct conformal fields in $D$ dimensions, by restricting Lorentz-invariant ensembles of homogeneous neural networks in $(D+2)$ dimensions to the projective null cone. Conformal correlators may be…

High Energy Physics - Theory · Physics 2025-10-07 James Halverson , Joydeep Naskar , Jiahua Tian

A new model of two coupled neurons is presented by the partly diffusive Hindmarsh-Rose equations. The solution semiflow exhibits globally absorbing characteristics. As the main result, the self-synchronization of the coupled neurons at a…

Analysis of PDEs · Mathematics 2019-10-31 Chi Phan , Yuncheng You

Solving large-scale linear programming (LP) problems is an important task in various areas such as communication networks, power systems, finance and logistics. Recently, two distinct approaches have emerged to expedite LP solving: (i)…

Machine Learning · Computer Science 2024-06-07 Bingheng Li , Linxin Yang , Yupeng Chen , Senmiao Wang , Qian Chen , Haitao Mao , Yao Ma , Akang Wang , Tian Ding , Jiliang Tang , Ruoyu Sun

This note studies the exponential convergence of input-output signals of discrete-time nonlinear systems composed of a feedback interconnection of a linear time-invariant system and a nonlinear uncertainty. Both the open-loop subsystems are…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Lanlan Su , Di Zhao , Sei Zhen Khong

In this paper, we develop a 2D and 3D segmentation pipelines for fully automated cardiac MR image segmentation using Deep Convolutional Neural Networks (CNN). Our models are trained end-to-end from scratch using the ACD Challenge 2017…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Jay Patravali , Shubham Jain , Sasank Chilamkurthy

Deep convolutional neural networks (CNNs) trained on objects and scenes have shown intriguing ability to predict some response properties of visual cortical neurons. However, the factors and computations that give rise to such ability, and…

Neurons and Cognition · Quantitative Biology 2018-06-11 Md Nasir Uddin Laskar , Luis G Sanchez Giraldo , Odelia Schwartz

Linear and nonlinear distortions in optical communication signals are equalized using an integrated feed-forward Photonic Neural Network (PNN). The PNN is based on a linear stage made of an 8-tap Finite Impulse Response (FIR) filter,…

Previous work showed that the collective activity of large neuronal networks can be tamed to remain near its critical point by a feedback control that maximizes the temporal correlations of the mean-field fluctuations. Since such…

Neurons and Cognition · Quantitative Biology 2023-03-29 Juliane T. Moraes , Eyisto J. Aguilar Trejo , Sabrina Camargo , Silvio C. Ferreira , Dante R. Chialvo

For the first time, recurrent and feedforward neural network-based equalizers for nonlinearity compensation are implemented in an FPGA, with a level of complexity comparable to that of a dispersion equalizer. We demonstrate that the…

Grid cells in the entorhinal cortex of mammalian brains exhibit striking hexagon grid firing patterns in their response maps as the animal (e.g., a rat) navigates in a 2D open environment. In this paper, we study the emergence of the…

Neurons and Cognition · Quantitative Biology 2024-02-21 Dehong Xu , Ruiqi Gao , Wen-Hao Zhang , Xue-Xin Wei , Ying Nian Wu

Graph neural networks (GNNs) leverage the connectivity and structure of real-world graphs to learn intricate properties and relationships between nodes. Many real-world graphs exceed the memory capacity of a GPU due to their sheer size, and…

Machine Learning · Computer Science 2025-10-30 Aditya K. Ranjan , Siddharth Singh , Cunyang Wei , Abhinav Bhatele

In this paper we study robust synchronization of time-fractional Hopfield neural networks with memristive couplings and Hebbian learning rules. This new model of artificial neural networks exhibits strong memory and long-range…

Analysis of PDEs · Mathematics 2025-10-27 Yuncheng You