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Vision problems ranging from image clustering to motion segmentation to semi-supervised learning can naturally be framed as subspace segmentation problems, in which one aims to recover multiple low-dimensional subspaces from noisy and…

Computer Vision and Pattern Recognition · Computer Science 2013-10-17 Ameet Talwalkar , Lester Mackey , Yadong Mu , Shih-Fu Chang , Michael I. Jordan

We develop hierarchically quantized efficient embedding representations for similarity-based search and show that this representation provides not only the state of the art performance on the search accuracy but also provides several orders…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Yeonwoo Jeong , Yoonsung Kim , Hyun Oh Song

Size, weight, and power constrained platforms impose constraints on computational resources that introduce unique challenges in implementing localization algorithms. We present a framework to perform fast localization on such platforms…

Robotics · Computer Science 2018-04-02 Aditya Dhawale , Kumar Shaurya Shankar , Nathan Michael

Developing a reliable and practical face recognition system is a long-standing goal in computer vision research. Existing literature suggests that pixel-wise face alignment is the key to achieve high-accuracy face recognition. By assuming a…

Computer Vision and Pattern Recognition · Computer Science 2015-01-21 Yuting Zhang , Kui Jia , Yueming Wang , Gang Pan , Tsung-Han Chan , Yi Ma

It has been known since 1970's that the N-dimensional $\ell_1$-space contains nearly Euclidean subspaces whose dimension is $\Omega(N)$. However, proofs of existence of such subspaces were probabilistic, hence non-constructive, which made…

Metric Geometry · Mathematics 2010-09-14 Piotr Indyk , Stanislaw Szarek

Image registration is a classical problem in machine vision which seeks methods to align discrete images of the same scene to subpixel accuracy in general situations. As with all estimation problems, the underlying difficulty is the partial…

Computer Vision and Pattern Recognition · Computer Science 2024-05-22 Serap A. Savari

Face verification is a problem approached in the literature mainly using nonlinear class-specific subspace learning techniques. While it has been shown that kernel-based Class-Specific Discriminant Analysis is able to provide excellent…

Computer Vision and Pattern Recognition · Computer Science 2018-07-06 Guanqun Cao , Alexandros Iosifidis , Moncef Gabbouj

Developing increasingly efficient and accurate algorithms for approximate nearest neighbor search is a paramount goal in modern information retrieval. A primary approach to addressing this question is clustering, which involves partitioning…

Information Retrieval · Computer Science 2024-12-10 Thomas Vecchiato

Subspace clustering is the problem of partitioning unlabeled data points into a number of clusters so that data points within one cluster lie approximately on a low-dimensional linear subspace. In many practical scenarios, the…

Machine Learning · Statistics 2019-01-24 Yining Wang , Yu-Xiang Wang , Aarti Singh

Metric embeddings are a widely used method in algorithm design, where generally a ``complex'' metric is embedded into a simpler, lower-dimensional one. Historically, the theoretical computer science community has focused on bi-Lipschitz…

Data Structures and Algorithms · Computer Science 2025-05-19 Ainesh Bakshi , Vincent Cohen-Addad , Samuel B. Hopkins , Rajesh Jayaram , Silvio Lattanzi

Several data analysis techniques employ similarity relationships between data points to uncover the intrinsic dimension and geometric structure of the underlying data-generating mechanism. In this paper we work under the model assumption…

Machine Learning · Statistics 2019-04-09 Nicolas Garcia Trillos , Daniel Sanz-Alonso , Ruiyi Yang

Dense subgraph extraction is a fundamental problem in graph analysis and data mining, aimed at identifying cohesive and densely connected substructures within a given graph. It plays a crucial role in various domains, including social…

Data Structures and Algorithms · Computer Science 2024-03-01 Chia-Yang Hung , Chih-Ya Shen

CAD model retrieval to real-world scene observations has shown strong promise as a basis for 3D perception of objects and a clean, lightweight mesh-based scene representation; however, current approaches to retrieve CAD models to a query…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Tim Beyer , Angela Dai

We present a new approach for efficient exploration which leverages a low-dimensional encoding of the environment learned with a combination of model-based and model-free objectives. Our approach uses intrinsic rewards that are based on the…

Machine Learning · Computer Science 2022-04-18 Ruo Yu Tao , Vincent François-Lavet , Joelle Pineau

Representing token embeddings as probability distributions over learned manifolds allows for more flexible contextual inference, reducing representational rigidity while enhancing semantic granularity. Comparative evaluations demonstrate…

Computation and Language · Computer Science 2025-04-25 Christopher Nightingale , Dominic Lavington , Jonathan Thistlethwaite , Sebastian Penhaligon , Thomas Belinski , David Boldo

This communication describes a representation of images as a set of edges characterized by their position and orientation. This representation allows the comparison of two images and the computation of their similarity. The first step in…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Joel Le Roux , Philippe Chaurand , Mickael Urrutia

We consider the problems of classification and intrinsic dimension estimation on image data. A new subspace based classifier is proposed for supervised classification or intrinsic dimension estimation. The distribution of the data in each…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 Liang Liao , Stephen John Maybank

We propose a new method for estimating the relative pose between two images, where we jointly learn keypoint detection, description extraction, matching and robust pose estimation. While our architecture follows the traditional pipeline for…

Computer Vision and Pattern Recognition · Computer Science 2021-04-05 Antoine Fond , Luca Del Pero , Nikola Sivacki , Marco Paladini

The use of high-dimensional features has become a normal practice in many computer vision applications. The large dimension of these features is a limiting factor upon the number of data points which may be effectively stored and processed,…

Computer Vision and Pattern Recognition · Computer Science 2015-06-18 Sakrapee Paisitkriangkrai , Chunhua Shen , Anton van den Hengel

Extracting informative representations from videos is fundamental for effectively learning various downstream tasks. We present a novel approach for unsupervised learning of meaningful representations from videos, leveraging the concept of…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Ali Younes , Simone Schaub-Meyer , Georgia Chalvatzaki