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We introduce a precision polarization scheme for DNN inference that utilizes only very low and very high precision levels, assigning low precision to the majority of network weights and activations while reserving high precision paths for…

Machine Learning · Computer Science 2024-11-12 Dinithi Jayasuriya , Nastaran Darabi , Maeesha Binte Hashem , Amit Ranjan Trivedi

Physically informed neural networks (PINNs) are a promising emerging method for solving differential equations. As in many other deep learning approaches, the choice of PINN design and training protocol requires careful craftsmanship. Here,…

Machine Learning · Statistics 2023-10-09 Inbar Seroussi , Asaf Miron , Zohar Ringel

Optical neural networks are emerging as a powerful and versatile tool for processing optical signals directly in the optical domain with superior speed, integrability, and functionality. Their application to optical polarization enables…

Optics · Physics 2025-06-24 Alessandro Petrini , Claudio Conti , Davide Pierangeli

In modern deep neural networks, the learning dynamics of the individual neurons is often obscure, as the networks are trained via global optimization. Conversely, biological systems build on self-organized, local learning, achieving…

We introduce NeuroPINNs, a neuroscience-inspired extension of Physics-Informed Neural Networks (PINNs) that incorporates biologically motivated spiking neuron models to achieve energy-efficient PDE solving. Unlike conventional PINNs, which…

Computational Physics · Physics 2025-11-11 Shailesh Garg , Souvik Chakraborty

Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode model equations, like Partial Differential Equations (PDE), as a component of the neural network itself. PINNs are nowadays used to solve PDEs, fractional…

Biological neurons exhibit remarkable intelligence: they maintain internal states, communicate selectively with other neurons, and self-organize into complex graphs rather than rigid hierarchical layers. What if artificial intelligence…

Machine Learning · Computer Science 2025-12-01 Antoine Salomon

The reconstruction of deep ocean currents is a major challenge in data assimilation due to the scarcity of interior data. In this work, we present a proof of concept for deep ocean flow reconstruction using a Physics-Informed Neural Network…

Atmospheric and Oceanic Physics · Physics 2025-03-26 Vadim Limousin , Nelly Pustelnik , Bruno Deremble , Antoine Venaille

Deep learning has led to significant advances in artificial intelligence, in part, by adopting strategies motivated by neurophysiology. However, it is unclear whether deep learning could occur in the real brain. Here, we show that a deep…

Neurons and Cognition · Quantitative Biology 2017-04-11 Jordan Guergiuev , Timothy P. Lillicrap , Blake A. Richards

Physics-informed neural networks (PINNs) have been widely used to solve various scientific computing problems. However, large training costs limit PINNs for some real-time applications. Although some works have been proposed to improve the…

Machine Learning · Computer Science 2022-06-14 Xu Liu , Xiaoya Zhang , Wei Peng , Weien Zhou , Wen Yao

The study of neuronal morphology is important not only for its potential relationship with neuronal dynamics, but also as a means to classify diverse types of cells and compare than among species, organs, and conditions. In the present…

Neurons and Cognition · Quantitative Biology 2024-03-11 Alexandre Benatti , Henrique F. de Arruda , Luciano da F. Costa

Single neurons in neural networks are often interpretable in that they represent individual, intuitively meaningful features. However, many neurons exhibit $\textit{mixed selectivity}$, i.e., they represent multiple unrelated features. A…

Machine Learning · Statistics 2023-10-19 David Klindt , Sophia Sanborn , Francisco Acosta , Frédéric Poitevin , Nina Miolane

Physics-Informed Neural Networks (PINNs) are a class of deep learning models aiming to approximate solutions of PDEs by training neural networks to minimize the residual of the equation. Focusing on non-equilibrium fluctuating systems, we…

Machine Learning · Computer Science 2025-09-25 Javier Castro , Benjamin Gess

Physics-informed neural networks (PINNs) have recently been used to solve various computational problems which are governed by partial differential equations (PDEs). In this paper, we propose a multi-output physics-informed neural network…

Computational Engineering, Finance, and Science · Computer Science 2022-12-07 Mingyuan Yang , John T. Foster

With growing investigations into solving partial differential equations by physics-informed neural networks (PINNs), more accurate and efficient PINNs are required to meet the practical demands of scientific computing. One bottleneck of…

Machine Learning · Computer Science 2025-10-29 Tianchi Yu , Yiming Qi , Ivan Oseledets , Shiyi Chen

Physics-informed neural networks (PINNs) have been applied to simulate multiphase flows, yet they are limited in modeling phase changes and sharp interfaces due to optimization conflicts in the strongly coupled Allen-Cahn, Cahn-Hilliard,…

Computational Physics · Physics 2026-01-22 Guoqiang Lei , Zhihua Wang , Lijing Zhou , D. Exposito , Xuerui Mao

Physics-informed neural networks (PINNs) have emerged as a powerful tool for solving inverse problems, especially in cases where no complete information about the system is known and scatter measurements are available. This is especially…

Computational Engineering, Finance, and Science · Computer Science 2023-08-03 Jeremias Garay , Jocelyn Dunstan , Sergio Uribe , Francisco Sahli Costabal

We introduce and analyze a class of neural network models motivated by the Drosophila central complex nervous system, designed to capture the emergence and dynamics of orientation-selective activity bumps. Starting from a biologically…

Dynamical Systems · Mathematics 2026-04-22 S. Ismail , B. Ambrosio , M. A. Aziz-Alaoui , Y. Souleiman

Decoding the heterogeneity of biological neural systems is key to understanding the nervous system's complex dynamical behaviors. This study analyzes the comprehensive Drosophila brain connectome, which is the most recent data set,…

Neurons and Cognition · Quantitative Biology 2025-10-01 Xiaoyu Zhang , Pengcheng Yang , Yifei Zhang , Bowei Qin , Qiang Luo , Wei Lin , Xin Lu

We present a spiking neural network (SNN) for visual pattern recognition with on-chip learning on neuromorphichardware. We show how this network can learn simple visual patterns composed of horizontal and vertical bars sensed by a Dynamic…

Neural and Evolutionary Computing · Computer Science 2021-03-05 Sandro Baumgartner , Alpha Renner , Raphaela Kreiser , Dongchen Liang , Giacomo Indiveri , Yulia Sandamirskaya