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A method for detecting and approximating fault lines or surfaces, respectively, or decision curves in two and three dimensions with guaranteed accuracy is presented. Reformulated as a classification problem, our method starts from a set of…

数值分析 · 数学 2023-02-17 Matthias Grajewski , Andreas Kleefeld

Low rank representation (LRR) has recently attracted great interest due to its pleasing efficacy in exploring low-dimensional subspace structures embedded in data. One of its successful applications is subspace clustering which means data…

计算机视觉与模式识别 · 计算机科学 2015-04-09 Boyue Wang , Yongli Hu , Junbin Gao , Yanfeng Sun , Baocai Yin

Place recognition is one of the most challenging problems in computer vision, and has become a key part in mobile robotics and autonomous driving applications for performing loop closure in visual SLAM systems. Moreover, the difficulty of…

计算机视觉与模式识别 · 计算机科学 2015-05-28 Ruben Gomez-Ojeda , Manuel Lopez-Antequera , Nicolai Petkov , Javier Gonzalez-Jimenez

The merit of projecting data onto linear subspaces is well known from, e.g., dimension reduction. One key aspect of subspace projections, the maximum preservation of variance (principal component analysis), has been thoroughly researched…

机器学习 · 计算机科学 2022-09-27 Erik Thordsen , Erich Schubert

Person re identification is a challenging retrieval task that requires matching a person's acquired image across non overlapping camera views. In this paper we propose an effective approach that incorporates both the fine and coarse pose…

计算机视觉与模式识别 · 计算机科学 2018-04-03 M. Saquib Sarfraz , Arne Schumann , Andreas Eberle , Rainer Stiefelhagen

We study the problem of approximate near neighbor (ANN) search and show the following results: - An improved framework for solving the ANN problem using locality-sensitive hashing, reducing the number of evaluations of locality-sensitive…

数据结构与算法 · 计算机科学 2019-06-25 Tobias Christiani

We show an analog to the Fast Johnson-Lindenstrauss Transform for Nearest Neighbor Preserving Embeddings in $\ell_2$. These are sparse, randomized embeddings that preserve the (approximate) nearest neighbors. The dimensionality of the…

数据结构与算法 · 计算机科学 2017-07-24 Johan Sivertsen

In this note, we show that one can use average embeddings, introduced recently in [Naor'20, arXiv:1905.01280], to obtain efficient algorithms for approximate nearest neighbor search. In particular, a metric $X$ embeds into $\ell_2$ on…

数据结构与算法 · 计算机科学 2021-05-13 Alexandr Andoni , David Cheikhi

Learning the embedding space, where semantically similar objects are located close together and dissimilar objects far apart, is a cornerstone of many computer vision applications. Existing approaches usually learn a single metric in the…

计算机视觉与模式识别 · 计算机科学 2019-06-17 Artsiom Sanakoyeu , Vadim Tschernezki , Uta Büchler , Björn Ommer

The goal of this paper is to retrieve an image based on instance, attribute and category similarity notions. Different from existing works, which usually address only one of these entities in isolation, we introduce a cooperative embedding…

计算机视觉与模式识别 · 计算机科学 2019-04-03 William Thong , Cees G. M. Snoek , Arnold W. M. Smeulders

We investigate the unconstrained global optimization of functions with low effective dimensionality, that are constant along certain (unknown) linear subspaces. Extending the technique of random subspace embeddings in [Wang et al., Bayesian…

最优化与控制 · 数学 2020-03-24 Coralia Cartis , Adilet Otemissov

Reliable perception of targets is crucial for the stable operation of autonomous robots. A widely preferred method is keypoint identification in an image, as it allows direct mapping from raw images to 2D coordinates, facilitating…

机器人学 · 计算机科学 2024-10-02 Taewook Park , Seunghwan Kim , Hyondong Oh

Low-dimensional embedding, manifold learning, clustering, classification, and anomaly detection are among the most important problems in machine learning. The existing methods usually consider the case when each instance has a fixed,…

机器学习 · 计算机科学 2012-02-20 Barnabas Poczos , Liang Xiong , Jeff Schneider

In this paper we address the uncertainty issues involved in the low-level vision task of image segmentation. Researchers in computer vision have worked extensively on this problem, in which the goal is to partition (or segment) an image…

人工智能 · 计算机科学 2013-03-08 Steven M. LaValle , Seth A. Hutchinson

It was shown by G. Pisier that any finite-dimensional normed space admits an $\alpha$-regular $M$-position, guaranteeing not only regular entropy estimates but moreover regular estimates on the diameters of minimal sections of its unit-ball…

泛函分析 · 数学 2021-05-28 Emanuel Milman , Yuval Yifrach

Robot localization is a fundamental component of autonomous navigation in unknown environments. Among various sensing modalities, visual input from cameras plays a central role, enabling robots to estimate their position by tracking point…

机器人学 · 计算机科学 2025-11-27 Vivek Pandey , Amirhossein Mollaei , Nader Motee

We address the problem of efficient and unobstructed surveillance or communication in complex environments. On one hand, one wishes to use a minimal number of sensors to cover the environment. On the other hand, it is often important to…

机器学习 · 计算机科学 2023-09-18 Lukas Taus , Yen-Hsi Richard Tsai

The problem of finding suitable point embedding or geometric configurations given only Euclidean distance information of point pairs arises both as a core task and as a sub-problem in a variety of machine learning applications. In this…

机器学习 · 计算机科学 2024-10-23 Ipsita Ghosh , Abiy Tasissa , Christian Kümmerle

We address the problem of finding reliable dense correspondences between a pair of images. This is a challenging task due to strong appearance differences between the corresponding scene elements and ambiguities generated by repetitive…

计算机视觉与模式识别 · 计算机科学 2018-11-30 Ignacio Rocco , Mircea Cimpoi , Relja Arandjelović , Akihiko Torii , Tomas Pajdla , Josef Sivic

We introduce the first work to tackle the image retrieval problem as a continuous operation. While the proposed approaches in the literature can be roughly categorized into two main groups: category- and instance-based retrieval, in this…

计算机视觉与模式识别 · 计算机科学 2019-04-02 Ziad Al-Halah , Andreas M. Lehrmann , Leonid Sigal