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Numerical homogenization and multiscale finite element methods construct effective properties on a coarse grid by solving local problems and extracting the average effective properties from these local solutions. In some cases, the…

Numerical Analysis · Mathematics 2016-06-21 Eric T. Chung , Yalchin Efendiev , Wing Tat Leung , Maria Vasilyeva

Designing robust loss functions is popular in learning with noisy labels while existing designs did not explicitly consider the overfitting property of deep neural networks (DNNs). As a result, applying these losses may still suffer from…

Machine Learning · Computer Science 2022-05-27 Hao Cheng , Zhaowei Zhu , Xing Sun , Yang Liu

Implicit SDF-based methods for single-view 3D reconstruction achieve high-quality surfaces but require large labeled datasets, limiting their scalability. We propose MetaSSP, a novel semi-supervised framework that exploits abundant…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Luoxi Zhang , Chun Xie , Itaru Kitahara

We study a higher-order surface finite element (SFEM) penalty-based discretization of the tangential surface Stokes problem. Several discrete formulations are investigated which are equivalent in the continuous setting. The impact of the…

Numerical Analysis · Mathematics 2025-03-11 Hanne Hardering , Simon Praetorius

We address the problem of minimizing a class of energy functions consisting of data and smoothness terms that commonly occur in machine learning, computer vision, and pattern recognition. While discrete optimization methods are able to give…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Zhakshylyk Nurlanov , Daniel Cremers , Florian Bernard

In this paper, we propose a new variational framework for 3D surface denoising over triangulated meshes, which is inspired by the success of semi-sparse regularization in image processing. Differing from the uniformly sampled image data,…

Computational Geometry · Computer Science 2025-10-16 Junqing Huang , Haihui Wang , Michael Ruzhansky

We develop and evaluate a method for learning solution operators to nonlinear problems governed by partial differential equations (PDEs). The approach is based on a finite element discretization and aims at representing the solution…

Machine Learning · Computer Science 2025-07-10 Mats G. Larson , Carl Lundholm , Anna Persson

This paper studies a practical domain adaptive (DA) semantic segmentation problem where only pseudo-labeled target data is accessible through a black-box model. Due to the domain gap and label shift between two domains, pseudo-labeled…

Computer Vision and Pattern Recognition · Computer Science 2022-04-08 Xiaoqing Guo , Jie Liu , Tongliang Liu , Yixuan Yuan

Current methods for 3D semantic segmentation propose training models with limited annotations to address the difficulty of annotating large, irregular, and unordered 3D point cloud data. They usually focus on the 3D domain only, without…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Lechun You , Zhonghua Wu , Weide Liu , Xulei Yang , Jun Cheng , Wei Zhou , Bharadwaj Veeravalli , Guosheng Lin

Semi-supervised learning has attracted much attention due to its less dependence on acquiring abundant annotations from experts compared to fully supervised methods, which is especially important for medical image segmentation which…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Yichi Zhang , Jin Yang , Yuchen Liu , Yuan Cheng , Yuan Qi

Semantic segmentation is the task of assigning a class-label to each pixel in an image. We propose a region-based semantic segmentation framework which handles both full and weak supervision, and addresses three common problems: (1) Objects…

Computer Vision and Pattern Recognition · Computer Science 2018-11-21 Holger Caesar , Jasper Uijlings , Vittorio Ferrari

Semantic segmentation has emerged as a pivotal area of study in computer vision, offering profound implications for scene understanding and elevating human-machine interactions across various domains. While 2D semantic segmentation has…

Computer Vision and Pattern Recognition · Computer Science 2024-07-24 Aditya Krishnan , Jayneel Vora , Prasant Mohapatra

When using the finite element method (FEM) in inverse problems, its discretization error can produce parameter estimates that are inaccurate and overconfident. The Bayesian finite element method (BFEM) provides a probabilistic model for the…

Numerical Analysis · Mathematics 2026-01-26 Anne Poot , Iuri Rocha , Pierre Kerfriden , Frans van der Meer

In recent years, research on learning with noisy labels has focused on devising novel algorithms that can achieve robustness to noisy training labels while generalizing to clean data. These algorithms often incorporate sophisticated…

Machine Learning · Computer Science 2023-07-12 Hui Kang , Sheng Liu , Huaxi Huang , Jun Yu , Bo Han , Dadong Wang , Tongliang Liu

Pixel wise image labeling is an interesting and challenging problem with great significance in the computer vision community. In order for a dense labeling algorithm to be able to achieve accurate and precise results, it has to consider the…

Computer Vision and Pattern Recognition · Computer Science 2016-12-15 Spyros Gidaris , Nikos Komodakis

When approaching the semantic segmentation of overhead imagery in the decimeter spatial resolution range, successful strategies usually combine powerful methods to learn the visual appearance of the semantic classes (e.g. convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-08-24 Michele Volpi , Devis Tuia

Fine-tuning LLMs for classification typically maps inputs directly to labels. We ask whether attaching brief explanations to each label during fine-tuning yields better models. We evaluate conversational response quality along three axes:…

Machine Learning · Computer Science 2026-03-03 Vivswan Shah , Randy Cogill , Hanwei Yue , Gopinath Chennupati , Rinat Khaziev

The Morley finite element method (FEM) is attractive for semilinear problems with the biharmonic operator as a leading term in the stream function vorticity formulation of 2D Navier-Stokes problem and in the von K\'{a}rm\'{a}n equations.…

Numerical Analysis · Mathematics 2019-12-19 Carsten Carstensen , Gouranga Mallik , Neela Nataraj

Nonlocal models allow for the description of phenomena which cannot be captured by classical partial differential equations. The availability of efficient solvers is one of the main concerns for the use of nonlocal models in real world…

Numerical Analysis · Mathematics 2023-06-02 Manuel Klar , Giacomo Capodaglio , Marta D'Elia , Christian Glusa , Max Gunzburger , Christian Vollmann

Sensitivity-based Finite Element Model Updating (FEMU) is one of the widely accepted techniques used for damage identification in structures. FEMU can be formulated as a numerical optimization problem and solved iteratively making automatic…

Numerical Analysis · Mathematics 2016-08-24 Niklas Grip , Natalia Sabourova , Yongming Tu
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