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In this study, novel physics-informed neural network (PINN) methods for coupling neighboring support points and their derivative terms which are obtained by automatic differentiation (AD), are proposed to allow efficient training with…

机器学习 · 计算机科学 2022-12-16 Pao-Hsiung Chiu , Jian Cheng Wong , Chinchun Ooi , My Ha Dao , Yew-Soon Ong

Halftoning aims to reproduce a continuous-tone image with pixels whose intensities are constrained to two discrete levels. This technique has been deployed on every printer, and the majority of them adopt fast methods (e.g., ordered…

计算机视觉与模式识别 · 计算机科学 2023-10-16 Haitian Jiang , Dongliang Xiong , Xiaowen Jiang , Li Ding , Liang Chen , Kai Huang

Audio-text retrieval enables semantic alignment between audio content and natural language queries, supporting applications in multimedia search, accessibility, and surveillance. However, current state-of-the-art approaches struggle with…

Since its inception, Benders Decomposition (BD) has been successfully applied to a wide range of large-scale mixed-integer (linear) problems. The key element of BD is the derivation of Benders cuts, which are often not unique. In this…

最优化与控制 · 数学 2024-05-21 Mojtaba Hosseini , John Turner

Many materials properties depend on higher-order derivatives of the potential energy surface, yet machine learned interatomic potentials (MLIPs) trained with a standard loss on energy, force, and stress errors can exhibit error in…

材料科学 · 物理学 2026-01-30 Teddy Koker , Abhijeet Gangan , Mit Kotak , Jaime Marian , Tess Smidt

In this paper, we make the first attempt to apply the boundary integrated neural networks (BINNs) for the numerical solution of two-dimensional (2D) elastostatic and piezoelectric problems. BINNs combine artificial neural networks with the…

计算工程、金融与科学 · 计算机科学 2023-08-03 Peijun Zhang , Chuanzeng Zhang , Yan Gu , Wenzhen Qu , Shengdong Zhao

For existing and future projects dedicated to measuring precise radial velocities (RVs), we have created an open-source, flexible data reduction software to extract RVs from \'echelle spectra via the iodine (I$_2$) absorption cell method.…

太阳与恒星天体物理 · 物理学 2023-07-05 Paul Heeren , René Tronsgaard , Frank Grundahl , Sabine Reffert , Andreas Quirrenbach , Pere L. Pallé

Physics-informed neural networks (PINNs) are extensively employed to solve partial differential equations (PDEs) by ensuring that the outputs and gradients of deep learning models adhere to the governing equations. However, constrained by…

机器学习 · 计算机科学 2025-07-21 Chenhao Si , Ming Yan

Calculations of electronic and optical properties of solids at finite temperature including electron-phonon interactions and quantum zero-point renormalization have enjoyed considerable progress during the past few years. Among the emerging…

材料科学 · 物理学 2020-04-01 Marios Zacharias , Feliciano Giustino

Deep neural networks have significantly improved performance on a range of tasks with the increasing demand for computational resources, leaving deployment on low-resource devices (with limited memory and battery power) infeasible. Binary…

机器学习 · 计算机科学 2022-06-22 Aaqib Saeed

We formulate an ab initio downfolding scheme for electron-phonon coupled systems. In this scheme, we calculate partially renormalized phonon frequencies and electron-phonon coupling, which include the screening effects of high-energy…

强关联电子 · 物理学 2015-12-10 Yusuke Nomura , Ryotaro Arita

From an engineering perspective, a design should not only perform well in an ideal condition, but should also resist noises. Such a design methodology, namely robust design, has been widely implemented in the industry for product quality…

机器学习 · 计算机科学 2021-12-09 Jia-Qi Yang , Ke-Bin Fan , Hao Ma , De-Chuan Zhan

Neural fields have become widely used in various fields, from shape representation to neural rendering, and for solving partial differential equations (PDEs). With the advent of hybrid neural field representations like Instant NGP that…

计算机视觉与模式识别 · 计算机科学 2025-06-03 Aditya Chetan , Guandao Yang , Zichen Wang , Steve Marschner , Bharath Hariharan

We consider the linear discriminant analysis problem in the high-dimensional settings. In this work, we propose PANDA(PivotAl liNear Discriminant Analysis), a tuning-insensitive method in the sense that it requires very little effort to…

统计理论 · 数学 2023-09-19 Ethan X. Fang , Yajun Mei , Yuyang Shi , Qunzhi Xu , Tuo Zhao

This paper studies discretization of time-dependent partial differential equations (PDEs) by proper orthogonal decomposition reduced order models (POD-ROMs). Most of the analysis in the literature has been performed on fully-discrete…

数值分析 · 数学 2024-03-12 Bosco Garcia-Archilla , Volker John , Julia Novo

Physics-informed neural networks (PINNs) have recently emerged as a prominent paradigm for solving partial differential equations (PDEs), yet their training strategies remain underexplored. While hard prioritization methods inspired by…

机器学习 · 计算机科学 2025-12-22 Zhaoqian Gao , Min Yanga

We use a space-time discretization based on physics informed deep learning (PIDL) to approximate solutions of a class of rate-dependent strain gradient plasticity models. The differential equation governing the plastic flow, the so-called…

动力系统 · 数学 2024-08-14 Ankit Tyagi , Uttam Suman , Mariya Mamajiwala , Debasish Roy

The identification of material parameters occurring in constitutive models has a wide range of applications in practice. One of these applications is the monitoring and assessment of the actual condition of infrastructure buildings, as the…

机器学习 · 计算机科学 2023-06-14 David Anton , Henning Wessels

It is expensive to compute residual diffusivity in chaotic in-compressible flows by solving advection-diffusion equation due to the formation of sharp internal layers in the advection dominated regime. Proper orthogonal decomposition (POD)…

计算物理 · 物理学 2019-10-02 Jiancheng Lyu , Jack Xin , Yifeng Yu

We focus on the challenging problem of learning an unbiased classifier from a large number of potentially relevant but noisily labeled web images given only a few clean labeled images. This problem is particularly practical because it…

计算机视觉与模式识别 · 计算机科学 2025-01-07 Chao Liang , Linchao Zhu , Zongxin Yang , Wei Chen , Yi Yang