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We have seen significant leapfrog advancement in machine learning in recent decades. The central idea of machine learnability lies on constructing learning algorithms that learn from good data. The availability of more data being made…

Computer Vision and Pattern Recognition · Computer Science 2020-08-07 Ng Hui Xian Lynnette , Henry Ng Siong Hock , Nguwi Yok Yen

Many application domains, spanning from computational photography to medical imaging, require recovery of high-fidelity images from noisy, incomplete or partial/compressed measurements. State of the art methods for solving these inverse…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Xinyi Wei , Hans van Gorp , Lizeth Gonzalez Carabarin , Daniel Freedman , Yonina C. Eldar , Ruud J. G. van Sloun

Image segmentation techniques are predominately based on parameter-laden optimization. The objective function typically involves weights for balancing competing image fidelity and segmentation regularization cost terms. Setting these…

Computer Vision and Pattern Recognition · Computer Science 2009-06-24 Josna Rao , Ghassan Hamarneh , Rafeef Abugharbieh

The analysis of manifold-valued data requires efficient tools from Riemannian geometry to cope with the computational complexity at stake. This complexity arises from the always-increasing dimension of the data, and the absence of…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Maxime Louis , Alexandre Bône , Benjamin Charlier , Stanley Durrleman

In this paper, we propose Wasserstein Isometric Mapping (Wassmap), a nonlinear dimensionality reduction technique that provides solutions to some drawbacks in existing global nonlinear dimensionality reduction algorithms in imaging…

Machine Learning · Computer Science 2023-02-22 Keaton Hamm , Nick Henscheid , Shujie Kang

Unsupervised domain adaptation is effective in leveraging the rich information from the source domain to the unsupervised target domain. Though deep learning and adversarial strategy make an important breakthrough in the adaptability of…

Machine Learning · Computer Science 2020-03-02 You-Wei Luo , Chuan-Xian Ren , Pengfei Ge , Ke-Kun Huang , Yu-Feng Yu

A central problem in hyperspectral image classification is obtaining high classification accuracy when using a limited amount of labelled data. In this paper we present a novel graph-based framework, which aims to tackle this problem in the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Philip Sellars , Angelica Aviles-Rivero , Carola-Bibiane Schönlieb

In image set classification, a considerable progress has been made by representing original image sets on Grassmann manifolds. In order to extend the advantages of the Euclidean based dimensionality reduction methods to the Grassmann…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Rui Wang , Xiao-Jun Wu , Kai-Xuan Chen , Josef Kittler

Unsupervised domain adaptation is effective in leveraging rich information from a labeled source domain to an unlabeled target domain. Though deep learning and adversarial strategy made a significant breakthrough in the adaptability of…

Machine Learning · Computer Science 2020-08-25 You-Wei Luo , Chuan-Xian Ren , Dao-Qing Dai , Hong Yan

Riemannian geometry provides the fundamental framework for optimization on nonlinear spaces such as matrix manifolds, which arise in machine learning, signal processing, and robotics. While the underlying theory is classical, existing…

Differential Geometry · Mathematics 2026-05-05 Benyamin Ghojogh

The increasing realism of generated images has raised significant concerns about their potential misuse, necessitating robust detection methods. Current approaches mainly rely on training binary classifiers, which depend heavily on the…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Yonggang Zhang , Jun Nie , Xinmei Tian , Mingming Gong , Kun Zhang , Bo Han

An information-geometric approach to sensor management is introduced that is based on following geodesic curves in a manifold of possible sensor configurations. This perspective arises by observing that, given a parameter estimation problem…

Applications · Statistics 2016-11-15 Bill Moran , Stephen D. Howard , Douglas Cochran

Semantic boundary and edge detection aims at simultaneously detecting object edge pixels in images and assigning class labels to them. Systematic training of predictors for this task requires the labeling of edges in images which is a…

Computer Vision and Pattern Recognition · Computer Science 2017-06-27 Jing Yu Koh , Wojciech Samek , Klaus-Robert Müller , Alexander Binder

Class imbalance in graph data presents a significant challenge for effective node classification, particularly in semi-supervised scenarios. In this work, we formally introduce the concept of geometric imbalance, which captures how message…

Machine Learning · Computer Science 2026-03-24 Liang Yan , Shengzhong Zhang , Bisheng Li , Menglin Yang , Chen Yang , Min Zhou , Weiyang Ding , Yutong Xie , Zengfeng Huang

This article presents an efficient end-to-end method to perform instance-level recognition employed to the task of labeling and ranking landmark images. In a first step, we embed images in a high dimensional feature space using…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Christof Henkel , Philipp Singer

We study a continuous-time system that solves optimization problems over the set of orthonormal matrices, which is also known as the Stiefel manifold. The resulting optimization flow follows a path that is not always on the manifold but…

Optimization and Control · Mathematics 2022-08-02 Bin Gao , Simon Vary , Pierre Ablin , P. -A. Absil

This paper begins with a description of methods for estimating image probability density functions that reflects the observation that such data is usually constrained to lie in restricted regions of the high-dimensional image space-not…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Peter Tu , Zhaoyuan Yang , Richard Hartley , Zhiwei Xu , Jing Zhang , Yiwei Fu , Dylan Campbell , Jaskirat Singh , Tianyu Wang

Multi-label learning handles instances associated with multiple class labels. The original label space is a logical matrix with entries from the Boolean domain $\in \left \{ 0,1 \right \}$. Logical labels are not able to show the relative…

Machine Learning · Computer Science 2021-03-01 Ali Braytee , Wei Liu

This paper proposes a general framework of Riemannian adaptive optimization methods. The framework encapsulates several stochastic optimization algorithms on Riemannian manifolds and incorporates the mini-batch strategy that is often used…

Optimization and Control · Mathematics 2025-02-14 Hiroyuki Sakai , Hideaki Iiduka

Scene labeling task is to segment the image into meaningful regions and categorize them into classes of objects which comprised the image. Commonly used methods typically find the local features for each segment and label them using…

Computer Vision and Pattern Recognition · Computer Science 2016-08-19 Nasim Souly , Mubarak Shah