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Related papers: Generative Hyperelasticity with Physics-Informed P…

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Score-based diffusion modeling is a generative machine learning algorithm that can be used to sample from complex distributions. They achieve this by learning a score function, i.e., the gradient of the log-probability density of the data,…

Machine Learning · Computer Science 2025-12-17 Dibyajyoti Chakraborty , Haiwen Guan , Jason Stock , Troy Arcomano , Guido Cervone , Romit Maulik

Material stress analysis is a critical aspect of material design and performance optimization. Under dynamic loading, the global stress evolution in materials exhibits complex spatiotemporal characteristics, especially in two-phase random…

Machine Learning · Computer Science 2025-05-06 Tengfei Xing , Xiaodan Ren , Jie Li

We design, fabricate and test heterogeneous architected polycrystals, composed of hard plastomers and soft elastomers, which thus show outstanding mechanical resilience and energy dissipation simultaneously. Grain boundaries that separate…

Soft Condensed Matter · Physics 2025-04-15 Seunghwan Lee , Hansohl Cho

The sensitivity of heterogeneous energetic (HE) materials (propellants, explosives, and pyrotechnics) is critically dependent on their microstructure. Initiation of chemical reactions occurs at hot spots due to energy localization at sites…

Materials Science · Physics 2023-05-12 Sehyun Chun , Sidhartha Roy , Yen Thi Nguyen , Joseph B. Choi , H. S. Udaykumar , Stephen S. Baek

We develop a fully data-driven model of anisotropic finite viscoelasticity using neural ordinary differential equations as building blocks. We replace the Helmholtz free energy function and the dissipation potential with data-driven…

Soft Condensed Matter · Physics 2023-05-10 Vahidullah Tac , Manuel K. Rausch , Francisco Sahli-Costabal , Adrian B. Tepole

X-ray diffraction is ideal for probing sub-surface state during complex or rapid thermomechanical loading of crystalline materials. However, challenges arise as the size of diffraction volumes increases due to spatial broadening and…

Materials Science · Physics 2025-01-10 Rachel E. Lim , Shun-Li Shang , Chihpin Chuang , Thien Q. Phan , Zi-Kui Liu , Darren C. Pagan

We present neural network-based constitutive models for hyperelastic geometrically exact beams. The proposed models are physics-augmented, i.e., formulated to fulfill important mechanical conditions by construction, which improves accuracy…

Computational Engineering, Finance, and Science · Computer Science 2024-12-20 Jasper O. Schommartz , Dominik K. Klein , Juan C. Alzate Cobo , Oliver Weeger

We propose a model for rate-independent evolution in elastoplastic materials under external loading, which allows large strains. In the setting of strain-gradient plasticity with multiplicative decomposition of the deformation gradient, we…

Analysis of PDEs · Mathematics 2021-09-01 Martin Kružík , Jiří Zeman

The discovery of inorganic crystal structures with targeted properties is a significant challenge in materials science. Generative models, especially state-of-the-art diffusion models, offer the promise of modeling complex data…

Large text-guided diffusion models, such as DALLE-2, are able to generate stunning photorealistic images given natural language descriptions. While such models are highly flexible, they struggle to understand the composition of certain…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Nan Liu , Shuang Li , Yilun Du , Antonio Torralba , Joshua B. Tenenbaum

A novel data-driven constitutive modeling approach is proposed, which combines the physics-informed nature of modeling based on continuum thermodynamics with the benefits of machine learning. This approach is demonstrated on…

Computational Engineering, Finance, and Science · Computer Science 2023-04-28 Kshitiz Upadhyay , Jan N. Fuhg , Nikolaos Bouklas , K. T. Ramesh

Deep generative models have made rapid progress in image, text, audio, and video generation, and are increasingly being applied to structured records. For tabular data, however, generative modeling remains difficult: a dataset may contain…

Machine Learning · Computer Science 2026-05-25 Zhong Li , Qi Huang , Lincen Yang , Jiayang Shi , Zhao Yang , Niki van Stein , Thomas Bäck , Matthijs van Leeuwen

Recent years have witnessed significant progress in developing effective training and fast sampling techniques for diffusion models. A remarkable advancement is the use of stochastic differential equations (SDEs) and their…

Computer Vision and Pattern Recognition · Computer Science 2024-08-26 Defang Chen , Zhenyu Zhou , Jian-Ping Mei , Chunhua Shen , Chun Chen , Can Wang

The mechanical behavior of inelastic materials with microstructure is very complex and hard to grasp with heuristic, empirical constitutive models. For this purpose, multiscale, homogenization approaches are often used for performing…

Materials Science · Physics 2022-06-22 Filippo Masi , Ioannis Stefanou

Efficient exploration of the vast chemical space is a fundamental challenge in materials design and discovery, particularly for designing functional inorganic crystalline materials with targeted properties. Diffusion-based generative models…

Materials Science · Physics 2026-03-20 Sourav Mal , Nehad Ahmed , Junaid Jami , Subhankar Mishra , Prasenjit Sen

The mechanical behaviour of isotropic and incompressible vulcanized natural rubbers (NR's) and that of quasi-incompressible carbon black filled vulcanized natural rubbers (NR 70) are considered both theoretically and experimentally. Based…

Classical Physics · Physics 2025-10-21 H. Bechir , Luc Chevalier , Mohend Chaouche , K. Boufala

The thermoelectric power factor of hierarchically nanostructured materials is investigated using the nonequilibrium Greens function method for quantum transport, including interactions of electrons with acoustic and optical phonons. We…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Vassilios Vargiamidis , Neophytos Neophytou

We introduce a framework for joint grounded scene graph - image generation, a challenging task involving high-dimensional, multi-modal structured data. To effectively model this complex joint distribution, we adopt a factorized approach:…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Bicheng Xu , Qi Yan , Renjie Liao , Lele Wang , Leonid Sigal

Generative models, such as GANs and diffusion models, have been used to augment training sets and boost performances in different tasks. We focus on generative models for cell detection instead, i.e., locating and classifying cells in given…

Computer Vision and Pattern Recognition · Computer Science 2024-09-06 Chen Li , Xiaoling Hu , Shahira Abousamra , Meilong Xu , Chao Chen

Understanding the structure of real data is paramount in advancing modern deep-learning methodologies. Natural data such as images are believed to be composed of features organized in a hierarchical and combinatorial manner, which neural…

Machine Learning · Statistics 2024-12-25 Antonio Sclocchi , Alessandro Favero , Matthieu Wyart
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