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The ever-increasing parameter counts of deep learning models necessitate effective compression techniques for deployment on resource-constrained devices. This paper explores the application of information geometry, the study of…

机器学习 · 计算机科学 2025-07-15 Zakhar Shumaylov , Vasileios Tsiaras , Yannis Stylianou

We present the application of a class of deep learning, known as Physics Informed Neural Networks (PINN), to learning and discovery in solid mechanics. We explain how to incorporate the momentum balance and constitutive relations into PINN,…

机器学习 · 计算机科学 2020-05-12 Ehsan Haghighat , Maziar Raissi , Adrian Moure , Hector Gomez , Ruben Juanes

Physics-informed neural networks have gained growing interest. Specifically, they are used to solve partial differential equations governing several physical phenomena. However, physics-informed neural network models suffer from several…

计算工程、金融与科学 · 计算机科学 2022-11-29 Diab W. Abueidda , Seid Koric , Erman Guleryuz , Nahil A. Sobh

The representation of nonlinear sub-grid processes, especially clouds, has been a major source of uncertainty in climate models for decades. Cloud-resolving models better represent many of these processes and can now be run globally but…

大气与海洋物理 · 物理学 2022-06-08 Stephan Rasp , Michael S. Pritchard , Pierre Gentine

A complete representation of 3D objects requires characterizing the space of deformations in an interpretable manner, from articulations of a single instance to changes in shape across categories. In this work, we improve on a prior…

计算机视觉与模式识别 · 计算机科学 2023-03-21 Tristan Aumentado-Armstrong , Stavros Tsogkas , Sven Dickinson , Allan Jepson

Computer models play a key role in many scientific and engineering problems. One major source of uncertainty in computer model experiment is input parameter uncertainty. Computer model calibration is a formal statistical procedure to infer…

机器学习 · 统计学 2020-09-09 Saumya Bhatnagar , Won Chang , Seonjin Kim Jiali Wang

This study introduces a physics-based machine learning framework for modeling both brittle and ductile fractures. Unlike physics-informed neural networks, which solve partial differential equations by embedding physical laws as soft…

数值分析 · 数学 2025-02-14 Fadi Aldakheel , Elsayed S. Elsayed , Yousef Heider , Oliver Weeger

The macroscopic response of short fiber reinforced composites is dependent on an extensive range of microstructural parameters. Thus, micromechanical modeling of these materials is challenging and in some cases, computationally expensive.…

机器学习 · 计算机科学 2022-10-04 J. Friemann , B. Dashtbozorg , M. Fagerström , S. M. Mirkhalaf

Climate models are essential to understand and project climate change, yet long-standing biases and uncertainties in their projections remain. This is largely associated with the representation of subgrid-scale processes, particularly…

The field of optimal design of linear elastic structures has seen many exciting successes that resulted in new architected materials and structural designs. With the availability of cloud computing, including high-performance computing,…

计算工程、金融与科学 · 计算机科学 2021-02-09 Diab W. Abueidda , Seid Koric , Nahil A. Sobh

Driven by the need to accelerate numerical simulations, the use of machine learning techniques is rapidly growing in the field of computational solid mechanics. Their application is especially advantageous in concurrent multiscale finite…

数值分析 · 数学 2023-03-22 M. A. Maia , I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

The development of biophysical models for clinical applications is rapidly advancing in the research community, thanks to their predictive nature and their ability to assist the interpretation of clinical data. However, high-resolution and…

Accurate prediction of crop states (e.g., phenology stages and cold hardiness) is essential for timely farm management decisions such as irrigation, fertilization, and canopy management to optimize crop yield and quality. While traditional…

人工智能 · 计算机科学 2026-05-20 William Solow , Paola Pesantez-Cabrera , Markus Keller , Lav Khot , Sandhya Saisubramanian , Alan Fern

This paper deals with the geometric multi-model fitting from noisy, unstructured point set data (e.g., laser scanned point clouds). We formulate multi-model fitting problem as a sequential decision making process. We then use a deep…

计算机视觉与模式识别 · 计算机科学 2018-12-31 Zongliang Zhang , Hongbin Zeng , Jonathan Li , Yiping Chen , Chenhui Yang , Cheng Wang

Accurate simulation of brain deformation is a key component for developing realistic, interactive neurosurgical simulators, as complex nonlinear deformations must be captured to ensure realistic tool-tissue interactions. However,…

In this paper, we propose a probabilistic physics-guided framework, termed Physics-guided Deep Markov Model (PgDMM). The framework targets the inference of the characteristics and latent structure of nonlinear dynamical systems from…

机器学习 · 计算机科学 2022-05-26 Wei Liu , Zhilu Lai , Kiran Bacsa , Eleni Chatzi

We present a novel method to generate accurate and realistic clothing deformation from real data capture. Previous methods for realistic cloth modeling mainly rely on intensive computation of physics-based simulation (with numerous…

计算机视觉与模式识别 · 计算机科学 2018-08-13 Zorah Laehner , Daniel Cremers , Tony Tung

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…

机器学习 · 计算机科学 2026-03-30 Zhangyong Liang , Huanhuan Gao

In this study, the Virtual Fields Method (VFM) is applied to identify constitutive parameters of hyperelastic models from a heterogeneous test. Digital image correlation (DIC) was used to estimate the displacement and strain fields required…

经典物理 · 物理学 2019-07-08 A Tayeb , Jean-Benoit Le Cam , M. Grédiac , E. Toussaint , F. Canevet , E. Robin , X. Balandraud

This review article highlights state-of-the-art data-driven techniques to discover, encode, surrogate, or emulate constitutive laws that describe the path-independent and path-dependent response of solids. Our objective is to provide an…