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This paper studies the compact coding approach to approximate nearest neighbor search. We introduce a composite quantization framework. It uses the composition of several ($M$) elements, each of which is selected from a different…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Jingdong Wang , Ting Zhang

We propose a quantization based approach for fast approximate Maximum Inner Product Search (MIPS). Each database vector is quantized in multiple subspaces via a set of codebooks, learned directly by minimizing the inner product quantization…

Artificial Intelligence · Computer Science 2015-09-07 Ruiqi Guo , Sanjiv Kumar , Krzysztof Choromanski , David Simcha

Modern approaches for fast retrieval of similar vectors on billion-scaled datasets rely on compressed-domain approaches such as binary sketches or product quantization. These methods minimize a certain loss, typically the mean squared error…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Kenza Amara , Matthijs Douze , Alexandre Sablayrolles , Hervé Jégou

This paper considers the problem of approximate nearest neighbor search in the compressed domain. We introduce polysemous codes, which offer both the distance estimation quality of product quantization and the efficient comparison of binary…

Computer Vision and Pattern Recognition · Computer Science 2018-06-07 Matthijs Douze , Hervé Jégou , Florent Perronnin

We consider a similarity measure between two sets $A$ and $B$ of vectors, that balances the average and maximum cosine distance between pairs of vectors, one from set $A$ and one from set $B$. As a motivation for this measure, we present…

Data Structures and Algorithms · Computer Science 2021-08-31 Michael Leybovich , Oded Shmueli

The need to compactly and robustly represent item-attribute relations arises in many important tasks, such as faceted browsing and recommendation systems. A popular machine learning approach for this task denotes that an item has an…

Information Retrieval · Computer Science 2023-06-08 Shib Dasgupta , Andrew McCallum , Steffen Rendle , Li Zhang

Nearest neighbor search is a very active field in machine learning for it appears in many application cases, including classification and object retrieval. In its canonical version, the complexity of the search is linear with both the…

Machine Learning · Computer Science 2017-07-06 Vincent Gripon , Matthias Löwe , Franck Vermet

Many emerging use cases of data mining and machine learning operate on large datasets with data from heterogeneous sources, specifically with both sparse and dense components. For example, dense deep neural network embedding vectors are…

Machine Learning · Computer Science 2019-03-22 Xiang Wu , Ruiqi Guo , David Simcha , Dave Dopson , Sanjiv Kumar

We propose a family of very efficient hierarchical indexing schemes for ungapped, score matrix-based similarity search in large datasets of short (4-12 amino acid) protein fragments. This type of similarity search has importance in both…

Data Structures and Algorithms · Computer Science 2007-09-04 Aleksandar Stojmirovic , Vladimir Pestov

Product quantization-based approaches are effective to encode high-dimensional data points for approximate nearest neighbor search. The space is decomposed into a Cartesian product of low-dimensional subspaces, each of which generates a sub…

Computer Vision and Pattern Recognition · Computer Science 2014-05-19 Jianfeng Wang , Jingdong Wang , Jingkuan Song , Xin-Shun Xu , Heng Tao Shen , Shipeng Li

Similarity search approaches based on graph walks have recently attained outstanding speed-accuracy trade-offs, taking aside the memory requirements. In this paper, we revisit these approaches by considering, additionally, the memory…

Computer Vision and Pattern Recognition · Computer Science 2018-06-07 Matthijs Douze , Alexandre Sablayrolles , Hervé Jégou

Many multimedia information retrieval or machine learning problems require efficient high-dimensional nearest neighbor search techniques. For instance, multimedia objects (images, music or videos) can be represented by high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2017-12-11 Fabien André

The problem of {\em efficiently} finding the best match for a query in a given set with respect to the Euclidean distance or the cosine similarity has been extensively studied in literature. However, a closely related problem of efficiently…

Computational Geometry · Computer Science 2021-06-24 Parikshit Ram , Alexander G. Gray

Maximum Inner Product Search or top-k retrieval on sparse vectors is well-understood in information retrieval, with a number of mature algorithms that solve it exactly. However, all existing algorithms are tailored to text and…

Information Retrieval · Computer Science 2023-07-19 Sebastian Bruch , Franco Maria Nardini , Amir Ingber , Edo Liberty

Motivated by cryptographic applications such as predicate encryption, we consider the problem of representing an arbitrary predicate as the inner product predicate on two vectors. Concretely, fix a Boolean function $P$ and some modulus $q$.…

Computational Complexity · Computer Science 2018-10-08 Balthazar Bauer , Jevgēnijs Vihrovs , Hoeteck Wee

Weighted Hamming distance, as a similarity measure between binary codes and binary queries, provides superior accuracy in search tasks than Hamming distance. However, how to efficiently and accurately find $K$ binary codes that have the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-11 Zhenyu Weng , Yuesheng Zhu , Ruixin Liu

Approximate nearest neighbor search for vectors relies on indexes that are most often accessed from RAM. Therefore, storage is the factor limiting the size of the database that can be served from a machine. Lossy vector compression, i.e.,…

Machine Learning · Computer Science 2025-01-22 Daniel Severo , Giuseppe Ottaviano , Matthew Muckley , Karen Ullrich , Matthijs Douze

Many real-world tasks such as recommending videos with the kids tag can be reduced to finding most similar vectors associated with hard predicates. This task, filtered vector search, is challenging as prior state-of-the-art graph-based…

Databases · Computer Science 2025-07-22 Zhaoheng Li , Silu Huang , Wei Ding , Yongjoo Park , Jianjun Chen

We propose a new algorithm for fast approximate nearest neighbor search based on the properties of ordered vectors. Data vectors are classified based on the index and sign of their largest components, thereby partitioning the space in a…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Luisa Verdoliva , Davide Cozzolino , Giovanni Poggi

Given a large dataset of binary codes and a binary query point, we address how to efficiently find $K$ codes in the dataset that yield the largest cosine similarities to the query. The straightforward answer to this problem is to compare…

Databases · Computer Science 2018-04-19 Sepehr Eghbali , Ladan Tahvildari
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