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Boundary labeling is a technique in computational geometry used to label sets of features in an illustration. It involves placing labels along an axis-parallel bounding box and connecting each label with its corresponding feature using…

Computational Geometry · Computer Science 2025-05-08 Thomas Depian , Martin Nöllenburg , Soeren Terziadis , Markus Wallinger

Multi-domain graph pre-training integrates knowledge from diverse domains to enhance performance in the target domains, which is crucial for building graph foundation models. Despite initial success, existing solutions often fall short of…

Machine Learning · Computer Science 2026-03-03 Li Sun , Zhenhao Huang , Silei Chen , Lanxu Yang , Junda Ye , Sen Su , Philip S. Yu

Bayesian learning with Gaussian processes demonstrates encouraging regression and classification performances in solving computer vision tasks. However, Bayesian methods on 3D manifold-valued vision data, such as meshes and point clouds,…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Yonghui Fan , Yalin Wang

Recovering the camera motion and scene geometry from visual data is a fundamental problem in the field of computer vision. Its success in standard vision is attributed to the maturity of feature extraction, data association and multi-view…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Zhongyang Ren , Bangyan Liao , Delei Kong , Jinghang Li , Peidong Liu , Laurent Kneip , Guillermo Gallego , Yi Zhou

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

Recent advances in generative models highlight the power of geometry-aware modeling in manifold-constrained settings. Yet, for natural images, the field remains confined to Euclidean assumptions, failing to exploit the potential of…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Junho Lee , Kwanseok Kim , Joonseok Lee

The present paper develops a general methodology for the morphological segmentation of hyperspectral images, i.e., with an important number of channels. This approach, based on watershed, is composed of a spectral classification to obtain…

Image and Video Processing · Electrical Eng. & Systems 2020-10-05 Guillaume Noyel , Jesus Angulo , Dominique Jeulin

This work proposes a geometric insight into equivariant message passing on Riemannian manifolds. As previously proposed, numerical features on Riemannian manifolds are represented as coordinate-independent feature fields on the manifold. To…

Machine Learning · Statistics 2023-10-17 Ilyes Batatia

We consider the classification problem and focus on nonlinear methods for classification on manifolds. For multivariate datasets lying on an embedded nonlinear Riemannian manifold within the higher-dimensional ambient space, we aim to…

Machine Learning · Statistics 2019-04-02 Zhigang Yao , Zhenyue Zhang

In its most general form, the recognition problem in Riemannian geometry asks for the identification of an unknown Riemannian manifold via measurements of metric invariants on the manifold. We introduce a new infinite sequence of…

Differential Geometry · Mathematics 2016-09-06 Karsten Grove , Steen Markvorsen

Supervised machine learning methods for image analysis require large amounts of labelled training data to solve computer vision problems. The recent rise of deep learning algorithms for recognising image content has led to the emergence of…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Christoph Sager , Christian Janiesch , Patrick Zschech

Normalizing flows are a powerful technique for obtaining reparameterizable samples from complex multimodal distributions. Unfortunately, current approaches are only available for the most basic geometries and fall short when the underlying…

Machine Learning · Statistics 2021-05-03 Luca Falorsi

The isometric embedding problem for Riemannian manifolds, which connects intrinsic and extrinsic geometry, is a central question in differential geometry with deep theoretical significance and wide-ranging applications. Despite extensive…

Numerical Analysis · Mathematics 2026-02-24 Guangwei Gao , Kaibo Hu , Buyang Li , Ganghui Zhang

We propose a novel method for semantic segmentation, the task of labeling each pixel in an image with a semantic class. Our method combines the advantages of the two main competing paradigms. Methods based on region classification offer…

Computer Vision and Pattern Recognition · Computer Science 2016-07-27 Holger Caesar , Jasper Uijlings , Vittorio Ferrari

Bilevel optimization has gained prominence in various applications. In this study, we introduce a framework for solving bilevel optimization problems, where the variables in both the lower and upper levels are constrained on Riemannian…

Optimization and Control · Mathematics 2024-11-05 Andi Han , Bamdev Mishra , Pratik Jawanpuria , Akiko Takeda

Segmentation is a fundamental task for extracting semantically meaningful regions from an image. The goal of segmentation algorithms is to accurately assign object labels to each image location. However, image-noise, shortcomings of…

Computer Vision and Pattern Recognition · Computer Science 2016-10-06 Marc Niethammer , Kilian M. Pohl , Firdaus Janoos , William M. Wells

Semantic segmentation requires a detailed labeling of image pixels by object category. Information derived from local image patches is necessary to describe the detailed shape of individual objects. However, this information is ambiguous…

Computer Vision and Pattern Recognition · Computer Science 2017-03-30 Hexiang Hu , Zhiwei Deng , Guang-Tong Zhou , Fei Sha , Greg Mori

We propose a novel Riemannian method for solving the Extreme multi-label classification problem that exploits the geometric structure of the sparse low-dimensional local embedding models. A constrained optimization problem is formulated as…

Optimization and Control · Mathematics 2021-10-01 Jayadev Naram , Tanmay Kumar Sinha , Pawan Kumar

We present variational generative adversarial networks, a general learning framework that combines a variational auto-encoder with a generative adversarial network, for synthesizing images in fine-grained categories, such as faces of a…

Computer Vision and Pattern Recognition · Computer Science 2018-02-06 Jianmin Bao , Dong Chen , Fang Wen , Houqiang Li , Gang Hua

Image attribute transfer aims to change an input image to a target one with expected attributes, which has received significant attention in recent years. However, most of the existing methods lack the ability to de-correlate the target…

Computer Vision and Pattern Recognition · Computer Science 2019-02-19 De Xie , Muli Yang , Cheng Deng , Wei Liu , Dacheng Tao
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