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This paper considers the problem of clustering a collection of unlabeled data points assumed to lie near a union of lower-dimensional planes. As is common in computer vision or unsupervised learning applications, we do not know in advance…

Information Theory · Computer Science 2013-01-31 Mahdi Soltanolkotabi , Emmanuel J. Candés

Embedding-based retrieval aims to learn a shared semantic representation space for both queries and items, enabling efficient and effective item retrieval through approximate nearest neighbor (ANN) algorithms. In current industrial…

Information Retrieval · Computer Science 2025-10-14 Han Zhang , Yunjiang Jiang , Mingming Li , Haowei Yuan , Yiming Qiu , Wen-Yun Yang

Real-time detection of objects in the 3D scene is one of the tasks an autonomous agent needs to perform for understanding its surroundings. While recent Deep Learning-based solutions achieve satisfactory performance, their high…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Illia Oleksiienko , Alexandros Iosifidis

In Computer Vision, edge detection is one of the favored approaches for feature and object detection in images since it provides information about their objects boundaries. Other region-based approaches use probabilistic analysis such as…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Dominique Beaini , Sofiane Achiche , Fabrice Nonez , Maxime Raison

In this note we discuss a common misconception, namely that embeddings are always used to reduce the dimensionality of the item space. We show that when we measure dimensionality in terms of information entropy then the embedding of sparse…

Machine Learning · Computer Science 2019-01-09 Maxim Naumov

LiDAR-based place recognition serves as a crucial enabler for long-term autonomy in robotics and autonomous driving systems. Yet, prevailing methodologies relying on handcrafted feature extraction face dual challenges: (1) Inconsistent…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Xiaohui Jiang , Haijiang Zhu , Chade Li , Fulin Tang , Ning An

An analysis of high-dimensional data can offer a detailed description of a system but is often challenged by the curse of dimensionality. General dimensionality reduction techniques can alleviate such difficulty by extracting a few…

Methodology · Statistics 2021-09-28 Di Bo , Hoon Hwangbo , Vinit Sharma , Corey Arndt , Stephanie C. TerMaath

This paper proposes a DNN-based system that detects multiple people from a single depth image. Our neural network processes a depth image and outputs a likelihood map in image coordinates, where each detection corresponds to a…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 David Fuentes-Jimenez , Cristina Losada-Gutierrez , David Casillas-Perez , Javier Macias-Guarasa , Roberto Martin-Lopez , Daniel Pizarro , Carlos A. Luna

Nearest neighbor (NN) search is inherently computationally expensive in high-dimensional spaces due to the curse of dimensionality. As a well-known solution, locality-sensitive hashing (LSH) is able to answer c-approximate NN (c-ANN)…

Databases · Computer Science 2021-07-13 Bolong Zheng , Xi Zhao , Lianggui Weng , Nguyen Quoc Viet Hung , Hang Liu , Christian S. Jensen

Traditionally, an object detector is applied to every part of the scene of interest, and its accuracy and computational cost increases with higher resolution images. However, in some application domains such as remote sensing, purchasing…

Computer Vision and Pattern Recognition · Computer Science 2020-04-08 Burak Uzkent , Christopher Yeh , Stefano Ermon

Similarity-preserving hashing is a widely-used method for nearest neighbour search in large-scale image retrieval tasks. There has been considerable research on generating efficient image representation via the deep-network-based hashing…

Computer Vision and Pattern Recognition · Computer Science 2017-10-20 Hanjiang Lai , Yan Pan

Visual attention mechanisms are a key component of neural network models for computer vision. By focusing on a discrete set of objects or image regions, these mechanisms identify the most relevant features and use them to build more…

Computer Vision and Pattern Recognition · Computer Science 2021-04-08 António Farinhas , André F. T. Martins , Pedro M. Q. Aguiar

We consider the problem of embedding a subset of $\mathbb{R}^n$ into a low-dimensional Hamming cube in an almost isometric way. We construct a simple, data-oblivious, and computationally efficient map that achieves this task with high…

Probability · Mathematics 2022-09-07 Sjoerd Dirksen , Shahar Mendelson , Alexander Stollenwerk

L1-minimization refers to finding the minimum L1-norm solution to an underdetermined linear system b=Ax. Under certain conditions as described in compressive sensing theory, the minimum L1-norm solution is also the sparsest solution. In…

Computer Vision and Pattern Recognition · Computer Science 2012-08-28 Allen Y. Yang , Zihan Zhou , Arvind Ganesh , S. Shankar Sastry , Yi Ma

The goal of subspace learning is to find a $k$-dimensional subspace of $\mathbb{R}^d$, such that the expected squared distance between instance vectors and the subspace is as small as possible. In this paper we study subspace learning in a…

Machine Learning · Computer Science 2016-05-27 Alon Gonen , Dan Rosenbaum , Yonina Eldar , Shai Shalev-Shwartz

Outlier rejection and equivalently inlier set optimization is a key ingredient in numerous applications in computer vision such as filtering point-matches in camera pose estimation or plane and normal estimation in point clouds. Several…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Dror Aiger , Simon Lynen , Jan Hosang , Bernhard Zeisl

We propose an approximation algorithm for efficient correlation search in time series data. In our method, we use Fourier transform and neural network to embed time series into a low-dimensional Euclidean space. The given space is learned…

Machine Learning · Computer Science 2018-05-16 Han Qiu , Hoang Thanh Lam , Francesco Fusco , Mathieu Sinn

We extend Random Access, a fundamental operation that enables efficient search and exploration algorithms, to the modern interactive data systems based on Ranked Retrieval and Similarity Search, where orderings are dynamically defined over…

Data Structures and Algorithms · Computer Science 2026-05-26 Mohsen Dehghankar , Abolfazl Asudeh , Raghav Mittal , Suraj Shetiya , Gautam Das

Empirical evidence suggests that hashing is an effective strategy for dimensionality reduction and practical nonparametric estimation. In this paper we provide exponential tail bounds for feature hashing and show that the interaction…

Artificial Intelligence · Computer Science 2010-02-27 Kilian Weinberger , Anirban Dasgupta , Josh Attenberg , John Langford , Alex Smola

Data cleaning, architecture, and loss function design are important factors contributing to high-performance face recognition. Previously, the research community tries to improve the performance of each single aspect but failed to present a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Manyuan Zhang , Guanglu Song , Yu Liu , Hongsheng Li
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