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Structural biology relies on accurate three-dimensional biomolecular structures to advance our understanding of biological functions, disease mechanisms, and therapeutics. While recent advances in deep learning have enabled the development…

Biomolecules · Quantitative Biology 2025-04-02 Yizhen Luo , Jiashuo Wang , Siqi Fan , Zaiqing Nie

Deformable fractured porous media appear in many geoscience applications. While the extended finite element (XFEM) has been successfully developed within the computational mechanics community for accurate modeling of the deformation, its…

Computational Physics · Physics 2021-04-07 Fanxiang Xu , Hadi Hajibeygi , Lambertus J. Sluys

Foundation models possess strong capabilities in reasoning and memorizing across modalities. To further unleash the power of foundation models, we present FIND, a generalized interface for aligning foundation models' embeddings with unified…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Xueyan Zou , Linjie Li , Jianfeng Wang , Jianwei Yang , Mingyu Ding , Junyi Wei , Zhengyuan Yang , Feng Li , Hao Zhang , Shilong Liu , Arul Aravinthan , Yong Jae Lee , Lijuan Wang

We propose an efficient and accurate parametric finite element method (PFEM) for solving sharp-interface continuum models for solid-state dewetting of thin films with anisotropic surface energies. The governing equations of the…

Numerical Analysis · Mathematics 2017-01-10 Weizhu Bao , Wei Jiang , Yan Wang , Quan Zhao

Artificial intelligence (AI) has emerged as a pivotal enabler for next-generation wireless communication systems. However, conventional AI-based models encounter several limitations, such as heavy reliance on labeled data, limited…

Signal Processing · Electrical Eng. & Systems 2025-10-14 Jun Jiang , Yuan Gao , Xinyi Wu , Shugong Xu

Foundation models (e.g., ChatGPT, DALL-E, PengCheng Mind, PanGu-$\Sigma$) have demonstrated extraordinary performance in key technological areas, such as natural language processing and visual recognition, and have become the mainstream…

Artificial Intelligence · Computer Science 2024-01-08 Jiahang Zhou , Yanyu Chen , Zicong Hong , Wuhui Chen , Yue Yu , Tao Zhang , Hui Wang , Chuanfu Zhang , Zibin Zheng

Foundation models (FMs) have achieved remarkable success across a wide range of applications, from image classification to natural langurage processing, but pose significant challenges for deployment at edge. This has sparked growing…

Machine Learning · Computer Science 2025-07-17 Muhammad Azlan Qazi , Alexandros Iosifidis , Qi Zhang

Classical models of computation have been successful in capturing the very essence of individual computing devices. Although they are useful to understand computability power and limitations in the small, such models are not suitable to…

Logic in Computer Science · Computer Science 2025-08-26 Damian Arellanes

The finite element methods (FEM) are important techniques in engineering for solving partial differential equations, but they depend heavily on element shape quality for stability and good performance. In this paper, we introduce the…

Numerical Analysis · Mathematics 2016-03-30 Rebecca Conley , Tristan J. Delaney , Xiangmin Jiao

We propose a new perspective for approaching artificial general intelligence (AGI) through an intelligence foundation model (IFM). Unlike existing foundation models (FMs), which specialize in pattern learning within specific domains such as…

Artificial Intelligence · Computer Science 2025-12-05 Borui Cai , Yao Zhao

The fast simulation of dynamical systems is a key challenge in many scientific and engineering applications, such as weather forecasting, disease control, and drug discovery. With the recent success of deep learning, there is increasing…

Machine Learning · Computer Science 2024-10-02 Zezheng Song , Jiaxin Yuan , Haizhao Yang

Federated Learning (FL) has become an established technique to facilitate privacy-preserving collaborative training across a multitude of clients. However, new approaches to FL often discuss their contributions involving small deep-learning…

Machine Learning · Computer Science 2026-05-05 Herbert Woisetschläger , Alexander Isenko , Shiqiang Wang , Ruben Mayer , Hans-Arno Jacobsen

The aggregated unfitted finite element method (AgFEM) is a methodology recently introduced in order to address conditioning and stability problems associated with embedded, unfitted, or extended finite element methods. The method is based…

Numerical Analysis · Computer Science 2019-08-20 Francesc Verdugo , Alberto F. Martín , Santiago Badia

Over the recent years, the field of robotics has been undergoing a transformative paradigm shift from fixed, single-task, domain-specific solutions towards adaptive, multi-function, general-purpose agents, capable of operating in complex,…

In practical structural design and solid mechanics simulations, material properties inherently exhibit random variations within bounded intervals. However, evaluating mechanical responses under continuous material uncertainty remains a…

Machine Learning · Computer Science 2026-03-30 Zhangyong Liang , Huanhuan Gao

This paper discusses the concept of model-driven software engineering applied to the Grid application domain. As an extension to this concept, the approach described here, attempts to combine both formal architecture-centric and…

Software Engineering · Computer Science 2007-05-23 David Manset , Herve Verjus , Richard McClatchey , Flavio Oquendo

Many problems in science and engineering can be represented by a set of partial differential equations (PDEs) through mathematical modeling. Mechanism-based computation following PDEs has long been an essential paradigm for studying topics…

Machine Learning · Computer Science 2022-11-21 Shudong Huang , Wentao Feng , Chenwei Tang , Jiancheng Lv

The finite cell method (FCM) belongs to the class of immersed boundary methods, and combines the fictitious domain approach with high-order approximation, adaptive integration and weak imposition of unfitted Dirichlet boundary conditions.…

Numerical Analysis · Mathematics 2018-07-04 Dominik Schillinger , Quanji Cai , Ralf-Peter Mundani , Ernst Rank

Estimating causal quantities traditionally relies on bespoke estimators tailored to specific assumptions. Recently proposed Causal Foundation Models (CFMs) promise a more unified approach by amortising causal discovery and inference in a…

Foundation models are multi-dataset and multi-task machine learning methods that once pre-trained can be fine-tuned for a large variety of downstream applications. The successful development of such general-purpose models for physics data…

High Energy Physics - Phenomenology · Physics 2024-09-10 Joschka Birk , Anna Hallin , Gregor Kasieczka