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We propose a new composite neural network (NN) that can be trained based on multi-fidelity data. It is comprised of three NNs, with the first NN trained using the low-fidelity data and coupled to two high-fidelity NNs, one with activation…

计算物理 · 物理学 2020-01-08 Xuhui Meng , George Em Karniadakis

Recently, several methods have been proposed for estimating the mutual information from sample data using deep neural networks and without the knowing closed form distribution of the data. This class of estimators is referred to as neural…

信息论 · 计算机科学 2022-03-22 Farhad Mirkarimi , Stefano Rini , Nariman Farsad

Holistic 3D modeling of molecularly defined brain structures is crucial for understanding complex brain functions. Using emerging tissue profiling technologies, researchers charted comprehensive atlases of mammalian brain with sub-cellular…

计算机视觉与模式识别 · 计算机科学 2025-12-15 Jiqing Wu , Ingrid Berg , Yawei Li , Ender Konukoglu , Viktor H. Koelzer

A body of recent work in modeling neural activity focuses on recovering low-dimensional latent features that capture the statistical structure of large-scale neural populations. Most such approaches have focused on linear generative models,…

神经元与认知 · 定量生物学 2016-10-26 Yuanjun Gao , Evan Archer , Liam Paninski , John P. Cunningham

Recent advances in large language models (LLMs) have enabled human-like social simulations at unprecedented scale and fidelity, offering new opportunities for computational social science. A key challenge, however, is the construction of…

计算与语言 · 计算机科学 2025-10-07 Zhengyu Hu , Jianxun Lian , Zheyuan Xiao , Max Xiong , Yuxuan Lei , Tianfu Wang , Kaize Ding , Ziang Xiao , Nicholas Jing Yuan , Xing Xie

We introduce PINGS (Physics-Informed Neural Network for Fast Generative Sampling), a framework that amortizes diffusion sampling by training a physics-informed network to approximate reverse-time probability-flow dynamics, reducing sampling…

We develop improved physics-informed neural networks (PINNs) for high-order and high-dimensional power system models described by nonlinear ordinary differential equations. We propose some novel enhancements to improve PINN training and…

机器学习 · 计算机科学 2024-10-11 Vineet Jagadeesan Nair

Personality detection from text aims to infer an individual's personality traits based on linguistic patterns. However, existing machine learning approaches often struggle to capture contextual information spanning multiple posts and tend…

计算与语言 · 计算机科学 2025-10-14 Guanming Chen , Lingzhi Shen , Xiaohao Cai , Imran Razzak , Shoaib Jameel

Physics-Informed Neural Networks (PINNs) are Neural Network architectures trained to emulate solutions of differential equations without the necessity of solution data. They are currently ubiquitous in the scientific literature due to their…

机器学习 · 计算机科学 2023-08-25 Andrea Bonfanti , Roberto Santana , Marco Ellero , Babak Gholami

Recent advances in Scientific Machine Learning have shown that second-order methods can enhance the training of Physics-Informed Neural Networks (PINNs), making them a suitable alternative to traditional numerical methods for Partial…

机器学习 · 计算机科学 2025-10-27 Andrea Bonfanti , Ismael Medina , Roman List , Björn Staeves , Roberto Santana , Marco Ellero

Deep neural networks (DNNs) detect patterns in data and have shown versatility and strong performance in many computer vision applications. However, DNNs alone are susceptible to obvious mistakes that violate simple, common sense concepts…

人工智能 · 计算机科学 2022-12-05 Youngwon Choi , M. Wasil Wahi-Anwar , Matthew S. Brown

Traditional numerical methods often struggle with the complexity and scale of modeling pollutant transport across vast and dynamic oceanic domains. This paper introduces a Physics-Informed Neural Network (PINN) framework to simulate the…

Physics-Informed Neural Networks (PINNs) and Neural Ordinary Differential Equations (NODEs) represent two distinct machine learning frameworks for modeling nonlinear neuronal dynamics. This study systematically evaluates their performance…

动力系统 · 数学 2026-03-31 Nikolaos M. Matzakos , Chrisovalantis Sfyrakis

Physics-informed neural networks (PINNs) are an increasingly powerful way to solve partial differential equations, generate digital twins, and create neural surrogates of physical models. In this manuscript we detail the inner workings of…

A wide variety of biological phenomena can be modeled by the collective activity of a population of individual units. A common strategy for simulating such a system, the population density approach, is to take the macroscopic limit and…

数值分析 · 数学 2021-06-15 Ningyuan Wang , Daniel B Forger

What might sound like the beginning of a joke has become an attractive prospect for many cognitive scientists: the use of deep neural network models (DNNs) as models of human behavior in perceptual and cognitive tasks. Although DNNs have…

人工智能 · 计算机科学 2020-05-06 Wei Ji Ma , Benjamin Peters

We are assisting at a growing interest in the development of learning architectures with application to digital communication systems. Herein, we consider the detection/decoding problem. We aim at developing an optimal neural architecture…

信息论 · 计算机科学 2022-09-02 Andrea M. Tonello , Nunzio A. Letizia

One of the most computationally intensive parts in modern recognition systems is an inference of deep neural networks that are used for image classification, segmentation, enhancement, and recognition. The growing popularity of edge…

计算机视觉与模式识别 · 计算机科学 2020-10-22 Elena Limonova , Daniil Alfonso , Dmitry Nikolaev , Vladimir V. Arlazarov

Neural networks have gained much interest because of their effectiveness in many applications. However, their mathematical properties are generally not well understood. If there is some underlying geometric structure inherent to the data or…

机器学习 · 计算机科学 2023-09-01 Elena Celledoni , Davide Murari , Brynjulf Owren , Carola-Bibiane Schönlieb , Ferdia Sherry

Artificial and natural neural network models are a new toolkit which could be potentially have been used for clarifying of complex brain functions. To attend this goal, such models need to be neurobiologically realistic. However, although…

神经元与认知 · 定量生物学 2022-07-08 Arsenii Onuchin