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We study the convergence properties of Riemannian gradient method for solving the consensus problem (for an undirected connected graph) over the Stiefel manifold. The Stiefel manifold is a non-convex set and the standard notion of averaging…

Optimization and Control · Mathematics 2021-01-26 Shixiang Chen , Alfredo Garcia , Mingyi Hong , Shahin Shahrampour

Labeling videos at scale is impractical. Consequently, self-supervised visual representation learning is key for efficient video analysis. Recent success in learning image representations suggests contrastive learning is a promising…

Computer Vision and Pattern Recognition · Computer Science 2021-05-03 Nishant Rai , Ehsan Adeli , Kuan-Hui Lee , Adrien Gaidon , Juan Carlos Niebles

We consider a class of (possibly strongly) geodesically convex optimization problems on Hadamard manifolds, where the objective function splits into the sum of a smooth and a possibly nonsmooth function. We introduce an intrinsic convex…

Optimization and Control · Mathematics 2025-07-23 Ronny Bergmann , Hajg Jasa , Paula John , Max Pfeffer

Causal representation learning seeks to uncover causal relationships among high-level latent variables from low-level, entangled, and noisy observations. Existing approaches often either rely on deep neural networks, which lack…

Methodology · Statistics 2026-03-27 Wenjin Zhang , Yixin Wang , Yuqi Gu

While deep learning has been successfully applied to many real-world computer vision tasks, training robust classifiers usually requires a large amount of well-labeled data. However, the annotation is often expensive and time-consuming.…

Computer Vision and Pattern Recognition · Computer Science 2020-09-09 Zhiyu Xue , Lixin Duan , Wen Li , Lin Chen , Jiebo Luo

Causal Representation Learning (CRL) aims at identifying high-level causal factors and their relationships from high-dimensional observations, e.g., images. While most CRL works focus on learning causal representations in a single…

Machine Learning · Computer Science 2024-03-18 Davide Talon , Phillip Lippe , Stuart James , Alessio Del Bue , Sara Magliacane

In this paper, we address the problem of 6-DoF object pose estimation from a single RGB image. Indirect methods that typically predict intermediate 2D keypoints, followed by a Perspective-n-Point solver, have shown great performance. Direct…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Nassim Ali Ousalah , Peyman Rostami , Vincent Gaudillière , Emmanuel Koumandakis , Anis Kacem , Enjie Ghorbel , Djamila Aouada

Recently many multi-label image recognition (MLR) works have made significant progress by introducing pre-trained object detection models to generate lots of proposals or utilizing statistical label co-occurrence enhance the correlation…

Computer Vision and Pattern Recognition · Computer Science 2023-01-10 Tao Pu , Mingzhan Sun , Hefeng Wu , Tianshui Chen , Ling Tian , Liang Lin

Convolutional Sparse Coding (CSC) is a well-established image representation model especially suited for image restoration tasks. In this work, we extend the applicability of this model by proposing a supervised approach to convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Lama Affara , Bernard Ghanem , Peter Wonka

We introduce Consistent Assignment for Representation Learning (CARL), an unsupervised learning method to learn visual representations by combining ideas from self-supervised contrastive learning and deep clustering. By viewing contrastive…

Machine Learning · Computer Science 2023-10-23 Thalles Silva , Adín Ramírez Rivera

Image clustering, which involves grouping images into different clusters without labels, is a key task in unsupervised learning. Although previous deep clustering methods have achieved remarkable results, they only explore the intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2024-09-23 Haixin Zhang , Yongjun Li , Dong Huang

Multi-modal Contrastive Representation learning aims to encode different modalities into a semantically aligned shared space. This paradigm shows remarkable generalization ability on numerous downstream tasks across various modalities.…

Machine Learning · Computer Science 2023-10-20 Zehan Wang , Yang Zhao , Xize Cheng , Haifeng Huang , Jiageng Liu , Li Tang , Linjun Li , Yongqi Wang , Aoxiong Yin , Ziang Zhang , Zhou Zhao

Low-Rank Representation (LRR) is arguably one of the most powerful paradigms for Multi-view spectral clustering, which elegantly encodes the multi-view local graph/manifold structures into an intrinsic low-rank self-expressive data…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Yang Wang , Lin Wu

We present a general approach for collaborative filtering (CF) using spectral regularization to learn linear operators from "users" to the "objects" they rate. Recent low-rank type matrix completion approaches to CF are shown to be special…

Machine Learning · Computer Science 2008-12-19 Jacob Abernethy , Francis Bach , Theodoros Evgeniou , Jean-Philippe Vert

Deep models have been widely and successfully used in image manipulation detection, which aims to classify tampered images and localize tampered regions. Most existing methods mainly focus on extracting global features from tampered images,…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Yuyuan Zeng , Bowen Zhao , Shanzhao Qiu , Tao Dai , Shu-Tao Xia

Unsupervised learning enables modeling complex images without the need for annotations. The representation learned by such models can facilitate any subsequent analysis of large image datasets. However, some generative factors that cause…

Image and Video Processing · Electrical Eng. & Systems 2020-08-27 Maxime W. Lafarge , Josien P. W. Pluim , Mitko Veta

Learning robust representations that allow to reliably establish relations between images is of paramount importance for virtually all of computer vision. Annotating the quadratic number of pairwise relations between training images is…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Timo Milbich , Omair Ghori , Ferran Diego , Björn Ommer

Causal representation learning (CRL) has garnered increasing interest from the causal inference and artificial intelligence communities due to its potential to disentangle complex data-generating mechanism into causally interpretable latent…

Machine Learning · Statistics 2026-05-28 Hao Chen , Lin Liu , Yu Guang Wang

Delineating the associations between images and a vector of covariates is of central interest in medical imaging studies. To tackle this problem of image response regression, we propose a novel nonparametric approach in the framework of…

Machine Learning · Statistics 2022-03-04 Daiwei Zhang , Lexin Li , Chandra Sripada , Jian Kang

Representations on the Symmetric Positive Definite (SPD) manifold have garnered significant attention across different applications. In contrast, the manifold of full-rank correlation matrices, a normalized alternative to SPD matrices,…

Machine Learning · Computer Science 2026-05-20 Ziheng Chen , Xiaojun Wu , Bernhard Schölkopf , Nicu Sebe
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