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In recent work we have shown how an accurate reduced model can be utilized to perform mesh refinement in random space. That work relied on the explicit knowledge of an accurate reduced model which is used to monitor the transfer of activity…

Numerical Analysis · Mathematics 2016-09-21 Jing Li , Panos Stinis

Developing effective multimodal data fusion strategies has become increasingly essential for improving the predictive power of statistical machine learning methods across a wide range of applications, from autonomous driving to medical…

Machine Learning · Computer Science 2025-07-29 Ziyi Liang , Annie Qu , Babak Shahbaba

Model merging aims to integrate multiple task-specific fine-tuned models derived from a shared pre-trained checkpoint into a single multi-task model without additional training. Despite extensive research, task interference remains a major…

Machine Learning · Computer Science 2026-02-25 Longhua Li , Lei Qi , Qi Tian , Xin Geng

In this paper, we propose a novel multiscale model reduction strategy tailored to address the Poisson equation within heterogeneous perforated domains. The numerical simulation of this intricate problem is impeded by its multiscale…

Numerical Analysis · Mathematics 2024-04-29 Wei Xie , Yin Yang , Eric Chung , Yunqing Huang

In this paper, we develop a space-time upscaling framework that can be used for many challenging porous media applications without scale separation and high contrast. Our main focus is on nonlinear differential equations with multiscale…

Numerical Analysis · Mathematics 2019-09-04 Wing T. Leung , Eric T. Chung , Yalchin Efendiev , Maria Vasilyeva , Mary Wheeler

Multimodal semantic segmentation is a pivotal component of computer vision and typically surpasses unimodal methods by utilizing rich information set from various sources.Current models frequently adopt modality-specific frameworks that…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Bingyu Li , Da Zhang , Zhiyuan Zhao , Junyu Gao , Xuelong Li

In complex materials, numerous intertwined phenomena underlie the overall response at macroscale. These phenomena can pertain to different engineering fields (mechanical , chemical, electrical), occur at different scales, can appear as…

Materials Science · Physics 2016-06-15 Pierre Jehel

We develop a new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation. Similar to wavelets…

Numerical Analysis · Mathematics 2016-01-20 Kosala Bandara , Thomas Rüberg , Fehmi Cirak

In this work, we present an adaptive unfitted finite element scheme that combines the aggregated finite element method with parallel adaptive mesh refinement. We introduce a novel scalable distributed-memory implementation of the resulting…

Numerical Analysis · Mathematics 2021-09-30 Santiago Badia , Alberto F. Martín , Eric Neiva , Francesc Verdugo

Numerically predicting the performance of heterogenous structures without scale separation represents a significant challenge to meet the critical requirements on computational scalability and efficiency -- adopting a mesh fine enough to…

Numerical Analysis · Mathematics 2022-02-23 Ming Li , Jingqiao Hu

Recent advances in Gaussian Splatting based 3D scene representation have shown two major trends: semantics-oriented approaches that focus on high-level understanding but lack explicit 3D geometry modeling, and structure-oriented approaches…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Yuhang Ming , Chenxin Fang , Xingyuan Yu , Fan Zhang , Weichen Dai , Wanzeng Kong , Guofeng Zhang

Large unimodal foundation models for vision and language encode rich semantic structures, yet aligning them typically requires computationally intensive multimodal fine-tuning. Such approaches depend on large-scale parameter updates, are…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Abhishek Dalvi , Vasant Honavar

Reconstructing high-quality images from substantially undersampled k-space data for accelerated MRI presents a challenging ill-posed inverse problem. While supervised deep learning has revolutionized this field, it relies heavily on large…

Image and Video Processing · Electrical Eng. & Systems 2025-12-22 Xinzhe Luo , Yingzhen Li , Chen Qin

Time-evolving perforated domains arise in many engineering and geoscientific applications, including reactive transport, particle deposition, and structural degradation in porous media. Accurately capturing the macroscopic behavior of such…

Numerical Analysis · Mathematics 2025-06-27 Wei Xie , Viet Ha Hoang , Yin Yang , Yunqing Huang

This contribution presents a diffuse framework for modeling cracks in heterogeneous media. Interfaces are depicted by static phase-fields. This concept allows the use of non-conforming meshes. Another phase-field is used to describe the…

Materials Science · Physics 2020-05-11 Arne Claus Hansen-Dörr , Franz Dammaß , René de Borst , Markus Kästner

Multi-modal MRIs are widely used in neuroimaging applications since different MR sequences provide complementary information about brain structures. Recent works have suggested that multi-modal deep learning analysis can benefit from…

Computer Vision and Pattern Recognition · Computer Science 2021-06-14 Jiahong Ouyang , Ehsan Adeli , Kilian M. Pohl , Qingyu Zhao , Greg Zaharchuk

Multi-modal image segmentation faces real-world deployment challenges from incomplete/corrupted modalities degrading performance. While existing methods address training-inference modality gaps via specialized per-combination models, they…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Xiaoqi Zhao , Youwei Pang , Chenyang Yu , Lihe Zhang , Huchuan Lu , Shijian Lu , Georges El Fakhri , Xiaofeng Liu

We present a design through analysis workflow that enables virtual prototyping of electric devices. A CAD plugin establishes the interaction between design and analysis, allowing the preparation of analysis models and the visualization of…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Benjamin Marussig , Jürgen Zechner , Thomas Rüberg , Lars Kielhorn , Domagoj Bošnjak , Thomas-Peter Fries

In this work, we propose a generalized multiscale inversion algorithm for heterogeneous problems that aims at solving an inverse problem on a computational coarse grid. Previous inversion techniques for multiscale problems seek a…

Numerical Analysis · Mathematics 2017-07-27 Eric T. Chung , Yalchin Efendiev , Bangti Jin , Wing Tat Leung , Maria Vasilyeva

We present a cut finite element method for the heat equation on two overlapping meshes: a stationary background mesh and an overlapping mesh that moves around inside/"on top" of it. Here the overlapping mesh is prescribed a simple…

Numerical Analysis · Mathematics 2023-03-02 Mats G. Larson , Anders Logg , Carl Lundholm