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We introduce a novel dictionary optimization method for high-dimensional vector quantization employed in approximate nearest neighbor (ANN) search. Vector quantization methods first seek a series of dictionaries, then approximate each…

Computer Vision and Pattern Recognition · Computer Science 2015-07-07 Shicong Liu , Hongtao Lu

Vector search, the task of finding the k-nearest neighbors of a query vector against a database of high-dimensional vectors, underpins many machine learning applications, including retrieval-augmented generation, recommendation systems, and…

In this work, we present a simple and general search space shrinking method, called Angle-Based search space Shrinking (ABS), for Neural Architecture Search (NAS). Our approach progressively simplifies the original search space by dropping…

Neural and Evolutionary Computing · Computer Science 2020-07-17 Yiming Hu , Yuding Liang , Zichao Guo , Ruosi Wan , Xiangyu Zhang , Yichen Wei , Qingyi Gu , Jian Sun

This paper tackles the task of storing a large collection of vectors, such as visual descriptors, and of searching in it. To this end, we propose to approximate database vectors by constrained sparse coding, where possible atom weights are…

Computer Vision and Pattern Recognition · Computer Science 2016-08-12 Himalaya Jain , Patrick Pérez , Rémi Gribonval , Joaquin Zepeda , Hervé Jégou

Deep neural networks are powerful learning models that achieve state-of-the-art performance on many computer vision, speech, and language processing tasks. In this paper, we study a fundamental question that arises when designing deep…

Machine Learning · Statistics 2017-10-24 Shiva Prasad Kasiviswanathan , Nina Narodytska , Hongxia Jin

Computing the optimal transport distance between statistical distributions is a fundamental task in machine learning. One remarkable recent advancement is entropic regularization and the Sinkhorn algorithm, which utilizes only matrix…

Optimization and Control · Mathematics 2024-01-24 Xun Tang , Michael Shavlovsky , Holakou Rahmanian , Elisa Tardini , Kiran Koshy Thekumparampil , Tesi Xiao , Lexing Ying

Sketched gradient algorithms have been recently introduced for efficiently solving the large-scale constrained Least-squares regressions. In this paper we provide novel convergence analysis for the basic method {\it Gradient Projection…

Optimization and Control · Mathematics 2017-06-05 Junqi Tang , Mohammad Golbabaee , Mike Davies

Neural Architecture Search (NAS) methods, which automatically learn entire neural model or individual neural cell architectures, have recently achieved competitive or state-of-the-art (SOTA) performance on variety of natural language…

Computation and Language · Computer Science 2020-10-12 Ansel MacLaughlin , Jwala Dhamala , Anoop Kumar , Sriram Venkatapathy , Ragav Venkatesan , Rahul Gupta

The K-Nearest Neighbor (KNN) join is an expensive but important operation in many data mining algorithms. Several recent applications need to perform KNN join for high dimensional sparse data. Unfortunately, all existing KNN join algorithms…

Databases · Computer Science 2010-11-15 Jijie Wang , Lei Lin , Ting Huang , Jingjing Wang , Zengyou He

Recent advancements in Neural Architecture Search(NAS) resulted in finding new state-of-the-art Artificial Neural Network (ANN) solutions for tasks like image classification, object detection, or semantic segmentation without substantial…

Image and Video Processing · Electrical Eng. & Systems 2020-04-21 Marcin Możejko , Tomasz Latkowski , Łukasz Treszczotko , Michał Szafraniuk , Krzysztof Trojanowski

Indices for approximate nearest neighbor search (ANNS) are a basic component for information retrieval and widely used in database, search, recommendation and RAG systems. In these scenarios, documents or other objects are inserted into and…

Information Retrieval · Computer Science 2025-02-20 Haike Xu , Magdalen Dobson Manohar , Philip A. Bernstein , Badrish Chandramouli , Richard Wen , Harsha Vardhan Simhadri

Motivated by Johnson--Lindenstrauss dimension reduction, amplitude encoding, and the view of measurements as hash-like primitives, one might hope to compress an $n$-point approximate nearest neighbor (ANN) data structure into $O(\log n)$…

Quantum Physics · Physics 2026-02-24 Sajjad Hashemian

Two major challenges of 3D LiDAR Panoptic Segmentation (PS) are that point clouds of an object are surface-aggregated and thus hard to model the long-range dependency especially for large instances, and that objects are too close to…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Shuangjie Xu , Rui Wan , Maosheng Ye , Xiaoyi Zou , Tongyi Cao

Approximate Nearest Neighbor Search (ANNS) in high-dimensional spaces finds extensive applications in databases, information retrieval, recommender systems, etc. While graph-based methods have emerged as the leading solution for ANNS due to…

Databases · Computer Science 2025-06-23 Jiancheng Ruan , Tingyang Chen , Renchi Yang , Xiangyu Ke , Yunjun Gao

Is it possible to find the sparsest vector (direction) in a generic subspace $\mathcal{S} \subseteq \mathbb{R}^p$ with $\mathrm{dim}(\mathcal{S})= n < p$? This problem can be considered a homogeneous variant of the sparse recovery problem,…

Information Theory · Computer Science 2016-09-21 Qing Qu , Ju Sun , John Wright

When employing an evolutionary algorithm to optimize a neural networks architecture, developers face the added challenge of tuning the evolutionary algorithm's own hyperparameters - population size, mutation rate, cloning rate, and number…

Neural and Evolutionary Computing · Computer Science 2025-03-17 Benjamin David Winter , William J. Teahan

We present a new computational approach to approximating a large, noisy data table by a low-rank matrix with sparse singular vectors. The approximation is obtained from thresholded subspace iterations that produce the singular vectors…

Methodology · Statistics 2011-12-13 Dan Yang , Zongming Ma , Andreas Buja

Approximate Nearest Neighbor Search (ANNS) is a fundamental and critical component in many applications, including recommendation systems and large language model-based applications. With the advancement of multimodal neural models, which…

Information Retrieval · Computer Science 2024-08-20 Meng Chen , Kai Zhang , Zhenying He , Yinan Jing , X. Sean Wang

The deployment of Deep Neural Networks (DNNs) on edge devices is hindered by the substantial gap between performance requirements and available processing power. While recent research has made significant strides in developing pruning…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Hamid Mousavi , Mohammad Loni , Mina Alibeigi , Masoud Daneshtalab

The aim of this paper is two-fold: firstly, to present subspace embedding properties for $s$-hashing sketching matrices, with $s\geq 1$, that are optimal in the projection dimension $m$ of the sketch, namely, $m=\mathcal{O}(d)$, where $d$…

Numerical Analysis · Mathematics 2021-05-26 Coralia Cartis , Jan Fiala , Zhen Shao
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