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Approximate Nearest Neighbor Search (ANNS) plays a critical role in applications such as search engines, recommender systems, and RAG for LLMs. Vector quantization (VQ), a crucial technique for ANNS, is commonly used to reduce space…

Databases · Computer Science 2026-01-22 Hui Li , Shiyuan Deng , Xiao Yan , Xiangyu Zhi , James Cheng

This paper presents a quantum algorithm for efficiently decoding hypervectors, a crucial process in extracting atomic elements from hypervectors - an essential task in Hyperdimensional Computing (HDC) models for interpretable learning and…

Quantum Physics · Physics 2024-06-19 Prathyush Poduval , Zhuowen Zou , Alvaro Velasquez , Mohsen Imani

We address the problem of checking query containment, a foundational problem in database research. Although extensively studied in theory research, optimization opportunities arising from query containment are not fully leveraged in…

Databases · Computer Science 2026-03-17 Luisa Gerlach , Tobias Köppl , René Zander , Nicole Schweikardt , Stefanie Scherzinger

Approximate nearest neighbor search (ANNS) has become a cornerstone in modern vector database systems. Given a query vector, ANNS retrieves the closest vectors from a set of base vectors. In real-world applications, vectors are often…

Databases · Computer Science 2026-03-03 Haoxuan Xie , Siqiang Luo

The studies of large-scale, high-dimensional data in fields such as genomics and neuroscience have injected new insights into science. Yet, despite advances, they are confronting several challenges, often simultaneously: lack of…

Methodology · Statistics 2024-01-01 Julien Bodelet , Guillaume Blanc , Jiajun Shan , Graciela Muniz Terrera , Oliver Y. Chen

Feature selection is critical in machine learning to reduce dimensionality and improve model accuracy and efficiency. The exponential growth in feature space dimensionality for modern datasets directly results in ambiguous samples and…

Quantum Physics · Physics 2023-11-30 Haiyan Wang

High-dimensional (HD) entanglement promises both enhanced key rates and overcoming obstacles faced by modern-day quantum communication. However, modern convex optimization-based security arguments are limited by computational constraints;…

Quantum Physics · Physics 2025-07-04 Florian Kanitschar , Marcus Huber

Data visualization is the process by which data of any size or dimensionality is processed to produce an understandable set of data in a lower dimensionality, allowing it to be manipulated and understood more easily by people. The goal of…

Graphics · Computer Science 2021-07-06 Alexander Kiefer , Md. Khaledur Rahman

We present a quantum kernel method for high-dimensional data analysis using Google's universal quantum processor, Sycamore. This method is successfully applied to the cosmological benchmark of supernova classification using real spectral…

High-dimensional numerical optimization presents a persistent challenge in computational science. This paper introduces Quasi-Adaptive Search with Asymptotic Reinitialization (QUASAR), an evolutionary algorithm to accelerate convergence in…

Optimization and Control · Mathematics 2026-02-03 Julian G. Soltes

Vector set search, an underexplored similarity search paradigm, aims to find vector sets similar to a query set. This search paradigm leverages the inherent structural alignment between sets and real-world entities to model more…

Databases · Computer Science 2025-07-08 Yiqi Li , Sheng Wang , Zhiyu Chen , Shangfeng Chen , Zhiyong Peng

Dataset condensation can be used to reduce the computational cost of training multiple models on a large dataset by condensing the training dataset into a small synthetic set. State-of-the-art approaches rely on matching the model gradients…

Machine Learning · Computer Science 2024-05-29 Mucong Ding , Yuancheng Xu , Tahseen Rabbani , Xiaoyu Liu , Brian Gravelle , Teresa Ranadive , Tai-Ching Tuan , Furong Huang

We present a new approach for efficient approximate nearest neighbor (ANN) search in high dimensional spaces, extending the idea of Product Quantization. We propose a two-level product and vector quantization tree that reduces the number of…

Computer Vision and Pattern Recognition · Computer Science 2017-02-21 Patrick Wieschollek , Oliver Wang , Alexander Sorkine-Hornung , Hendrik P. A. Lensch

Large-scale Nearest Neighbor (NN) search, though widely utilized in the similarity search field, remains challenged by the computational limitations inherent in processing large scale data. In an effort to decrease the computational expense…

Machine Learning · Computer Science 2026-04-24 Ashley N. Abraham , Andrew Strelzoff , Haley R. Dozier , Althea C. Henslee , Mark A. Chappell

Quantum processors may enhance machine learning by mapping high-dimensional data onto quantum systems for processing. Conventional feature maps, for encoding data onto a quantum circuit are currently impractical, as the number of entangling…

Quantum Physics · Physics 2026-03-27 Utkarsh Singh , Jean-Frédéric Laprade , Aaron Z. Goldberg , Khabat Heshami

Vision Transformer (ViT) models which were recently introduced by the transformer architecture have shown to be very competitive and often become a popular alternative to Convolutional Neural Networks (CNNs). However, the high computational…

Machine Learning · Computer Science 2025-05-08 Dimitrios Danopoulos , Georgios Zervakis , Dimitrios Soudris , Jörg Henkel

We present a very fast algorithm for general matrix factorization of a data matrix for use in the statistical analysis of high-dimensional data via latent factors. Such data are prevalent across many application areas and generate an…

Similarity search queries in high-dimensional spaces are an important type of queries in many domains such as image processing, machine learning, etc. Since exact similarity search indexing techniques suffer from the well-known curse of…

Databases · Computer Science 2019-07-30 Omid Jafari , John Ossorgin , Parth Nagarkar

This paper shows how to reduce the computational cost for a variety of common machine vision tasks by operating directly in the compressed domain, particularly in the context of hardware acceleration. Pyramid Vector Quantization (PVQ) is…

Computer Vision and Pattern Recognition · Computer Science 2016-03-31 Vincenzo Liguori

Classification is a common AI problem, and vector search is a typical solution. This transforms a given body of text into a numerical representation, known as an embedding, and modern improvements to vector search focus on optimising speed…

Information Retrieval · Computer Science 2025-06-04 Lee Harris
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