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Related papers: Defining Foundation Models for Computational Scien…

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Foundation models are deep neural networks (such as GPT-5, Gemini~3, and Opus~4) trained on large datasets that can perform diverse downstream tasks -- text and code generation, question answering, summarization, image classification, and…

Machine Learning · Computer Science 2026-05-01 Logan G Wright , Tianyu Wang , Tatsuhiro Onodera , Peter L. McMahon

Foundation models can be disruptive for future AI development by scaling up deep learning in terms of model size and training data's breadth and size. These models achieve state-of-the-art performance (often through further adaptation) on a…

Artificial Intelligence · Computer Science 2022-12-20 Johannes Schneider

This year marks the eightieth anniversary of the invention of the finite element method (FEM). FEM has become the computational workhorse for engineering design analysis and scientific modeling of a wide range of physical processes,…

Numerical Analysis · Mathematics 2021-07-13 Wing Kam Liu , Shaofan Li , Harold Park

Modeling environmental ecosystems is essential for effective resource management, sustainable development, and understanding complex ecological processes. However, traditional data-driven methods face challenges in capturing inherently…

Machine Learning · Computer Science 2025-04-08 Runlong Yu , Shengyu Chen , Yiqun Xie , Huaxiu Yao , Jared Willard , Xiaowei Jia

Modeling environmental ecosystems is essential for effective resource management, sustainable development, and understanding complex ecological processes. However, traditional methods frequently struggle with the inherent complexity,…

Machine Learning · Computer Science 2025-03-06 Runlong Yu , Shengyu Chen , Yiqun Xie , Xiaowei Jia

The advent of foundation models (FMs) as an emerging suite of AI techniques has struck a wave of opportunities in computational healthcare. The interactive nature of these models, guided by pre-training data and human instructions, has…

Machine Learning · Computer Science 2026-04-30 Yunkun Zhang , Jin Gao , Zheling Tan , Lingfeng Zhou , Kexin Ding , Mu Zhou , Shaoting Zhang , Dequan Wang

Foundation models are at the forefront of AI research, appealing for their ability to learn from vast datasets and cater to diverse tasks. Yet, their significant computational demands raise issues of environmental impact and the risk of…

Machine Learning · Computer Science 2025-07-03 Leyang Xue , Meghana Madhyastha , Randal Burns , Myungjin Lee , Mahesh K. Marina

Foundation models (FMs) are catalyzing a transformative shift in materials science (MatSci) by enabling scalable, general-purpose, and multimodal AI systems for scientific discovery. Unlike traditional machine learning models, which are…

Machine Learning · Computer Science 2025-06-27 Minh-Hao Van , Prateek Verma , Chen Zhao , Xintao Wu

By treating data and models as the source code, Foundation Models (FMs) become a new type of software. Mirroring the concept of software crisis, the increasing complexity of FMs making FM crisis a tangible concern in the coming decade,…

Software Engineering · Computer Science 2024-07-12 Dezhi Ran , Mengzhou Wu , Wei Yang , Tao Xie

We introduce the concept of data-driven finite element methods. These are finite-element discretizations of partial differential equations (PDEs) that resolve quantities of interest with striking accuracy, regardless of the underlying mesh…

Numerical Analysis · Mathematics 2022-11-15 Ignacio Brevis , Ignacio Muga , Kristoffer G. van der Zee

Foundation models (FMs), such as GPT-4 and AlphaFold, are reshaping the landscape of scientific research. Beyond accelerating tasks such as hypothesis generation, experimental design, and result interpretation, they prompt a more…

Machine Learning · Computer Science 2025-10-20 Fan Liu , Jindong Han , Tengfei Lyu , Weijia Zhang , Zhe-Rui Yang , Lu Dai , Cancheng Liu , Hao Liu

The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid-fluid free surface and a liquid-solid interface, with the three-phase contact line moving across the…

Computational Physics · Physics 2012-02-20 J. E. Sprittles , Y. D. Shikhmurzaev

Visual foundation models (VFMs) have become increasingly popular due to their state-of-the-art performance. However, interpretability remains crucial for critical applications. In this sense, self-explainable models (SEM) aim to provide…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Hugues Turbé , Mina Bjelogrlic , Gianmarco Mengaldo , Christian Lovis

The pervasive uncertainty and dynamic nature of real-world environments present significant challenges for the widespread implementation of machine-driven Intelligent Decision-Making (IDM) systems. Consequently, IDM should possess the…

Artificial Intelligence · Computer Science 2023-05-17 Ying Wen , Ziyu Wan , Ming Zhou , Shufang Hou , Zhe Cao , Chenyang Le , Jingxiao Chen , Zheng Tian , Weinan Zhang , Jun Wang

We propose a Pretrained Finite Element Method (PFEM),a physics driven framework that bridges the efficiency of neural operator learning with the accuracy and robustness of classical finite element methods (FEM). PFEM consists of a physics…

We develop a novel formal theory of finite structures, based on a view of finite structures as a fundamental artifact of computing and programming, forming a common platform for computing both within particular finite structures, and in the…

Logic in Computer Science · Computer Science 2018-08-16 Daniel Leivant

The rise of foundation models -- large, pretrained machine learning models that can be finetuned to a variety of tasks -- has revolutionized the fields of natural language processing and computer vision. In high-energy physics, the question…

High Energy Physics - Phenomenology · Physics 2026-01-12 Anna Hallin

Traditional foundation models are pre-trained on broad datasets to reduce the training resources (e.g., time, energy, labeled samples) needed for fine-tuning a wide range of downstream tasks. However, traditional foundation models struggle…

Machine Learning · Computer Science 2025-04-24 Majid Farhadloo , Arun Sharma , Mingzhou Yang , Bharat Jayaprakash , William Northrop , Shashi Shekhar

This review explores the potential of foundation models to advance laboratory automation in the materials and chemical sciences. It emphasizes the dual roles of these models: cognitive functions for experimental planning and data analysis,…

The capacity to predict and control bioprocesses is perhaps one of the most important objectives of biotechnology. Computational simulation is an established methodology for the design and optimization of bioprocesses, where the finite…

Computational Engineering, Finance, and Science · Computer Science 2015-08-12 R. C. Martins , N. Fachada
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