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Related papers: Reverse Maximum Inner Product Search: How to effic…

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The $k$-MIPS ($k$ Maximum Inner Product Search) problem has been employed in many fields. Recently, its reverse version, the reverse $k$-MIPS problem, has been proposed. Given an item vector (i.e., query), it retrieves all user vectors such…

Databases · Computer Science 2025-04-21 Daichi Amagata , Kazuyoshi Aoayama , Keito Kido , Sumio Fujita

Exact Maximum Inner Product Search (MIPS) is an important task that is widely pertinent to recommender systems and high-dimensional similarity search. The brute-force approach to solving exact MIPS is computationally expensive, thus…

Information Retrieval · Computer Science 2019-03-18 Firas Abuzaid , Geet Sethi , Peter Bailis , Matei Zaharia

We focus on Maximum Inner Product Search (MIPS), which is an essential problem in many machine learning communities. Given a query, MIPS finds the most similar items with the maximum inner products. Methods for Nearest Neighbor Search (NNS)…

Information Retrieval · Computer Science 2022-01-25 Chao Feng , Defu Lian , Xiting Wang , Zheng liu , Xing Xie , Enhong Chen

Maximum inner product search (MIPS) over dense and sparse vectors have progressed independently in a bifurcated literature for decades; the latter is better known as top-$k$ retrieval in Information Retrieval. This duality exists because…

Information Retrieval · Computer Science 2024-05-20 Sebastian Bruch , Franco Maria Nardini , Amir Ingber , Edo Liberty

Maximum Inner Product Search (MIPS) for high-dimensional vectors is pivotal across databases, information retrieval, and artificial intelligence. Existing methods either reduce MIPS to Nearest Neighbor Search (NNS) while suffering from…

Databases · Computer Science 2025-07-24 Tingyang Chen , Cong Fu , Kun Wang , Xiangyu Ke , Yunjun Gao , Wenchao Zhou , Yabo Ni , Anxiang Zeng

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

Maximum Inner Product Search (MIPS) is a ubiquitous task in machine learning applications such as recommendation systems. Given a query vector and $n$ atom vectors in $d$-dimensional space, the goal of MIPS is to find the atom that has the…

Machine Learning · Computer Science 2023-06-28 Mo Tiwari , Ryan Kang , Je-Yong Lee , Donghyun Lee , Chris Piech , Sebastian Thrun , Ilan Shomorony , Martin Jinye Zhang

This paper investigates a new yet challenging problem called Reverse $k$-Maximum Inner Product Search (R$k$MIPS). Given a query (item) vector, a set of item vectors, and a set of user vectors, the problem of R$k$MIPS aims to find a set of…

Information Retrieval · Computer Science 2023-06-30 Qiang Huang , Yanhao Wang , Anthony K. H. Tung

Efficient Maximum Inner Product Search (MIPS) is an important task that has a wide applicability in recommendation systems and classification with a large number of classes. Solutions based on locality-sensitive hashing (LSH) as well as…

Machine Learning · Computer Science 2015-12-01 Alex Auvolat , Sarath Chandar , Pascal Vincent , Hugo Larochelle , Yoshua Bengio

Due to the wide applications in recommendation systems, multi-class label prediction and deep learning, the Maximum Inner Product (MIP) search problem has received extensive attention in recent years. Faced with large-scale datasets…

Databases · Computer Science 2021-04-12 Yang Song , Yu Gu , Rui Zhang , Ge Yu

Maximum inner product search (MIPS) is a crucial subroutine in machine learning, requiring the identification of key vectors that align best with a given query. We propose amortized MIPS: a learning-based approach that trains neural…

Machine Learning · Computer Science 2026-03-10 Theo X. Olausson , João Monteiro , Michal Klein , Marco Cuturi

The $k$-Maximum Inner Product Search ($k$MIPS) serves as a foundational component in recommender systems and various data mining tasks. However, while most existing $k$MIPS approaches prioritize the efficient retrieval of highly relevant…

Information Retrieval · Computer Science 2024-02-22 Qiang Huang , Yanhao Wang , Yiqun Sun , Anthony K. H. Tung

We propose a novel dimensionality reduction method for maximum inner product search (MIPS), named CEOs, based on the theory of concomitants of extreme order statistics. Utilizing the asymptotic behavior of these concomitants, we show that a…

Data Structures and Algorithms · Computer Science 2021-08-19 Ninh Pham

Many objects are represented as high-dimensional vectors nowadays. In this setting, the relevance between two objects (vectors) is usually evaluated by their inner product. Recently, item-centric searches, which search for users relevant to…

Databases · Computer Science 2025-04-21 Daichi Amagata , Kazuyoshi Aoyama , Keito Kido , Sumio Fujita

Sparse vector Maximum Inner Product Search (MIPS) is crucial in multi-path retrieval for Retrieval-Augmented Generation (RAG). Recent inverted index-based and graph-based algorithms have achieved high search accuracy with practical…

Retrieval finds a small number of relevant candidates from a large corpus for information retrieval and recommendation applications. A key component of retrieval is to model (user, item) similarity, which is commonly represented as the dot…

Machine Learning · Computer Science 2023-06-08 Jiaqi Zhai , Zhaojie Gong , Yueming Wang , Xiao Sun , Zheng Yan , Fu Li , Xing Liu

Maximum Inner Product Search (MIPS) is a fundamental challenge in machine learning and information retrieval, particularly in high-dimensional data applications. Existing approaches to MIPS either rely solely on Inner Product (IP)…

Databases · Computer Science 2025-07-24 Tingyang Chen , Cong Fu , Xiangyu Ke , Yunjun Gao , Yabo Ni , Anxiang Zeng

The inner-product navigable small world graph (ip-NSW) represents the state-of-the-art method for approximate maximum inner product search (MIPS) and it can achieve an order of magnitude speedup over the fastest baseline. However, to date…

Information Retrieval · Computer Science 2019-12-10 Jie Liu , Xiao Yan , Xinyan Dai , Zhirong Li , James Cheng , Ming-Chang Yang

As we all know, users and item-providers are two main parties of participants in recommender systems. However, most existing research efforts on recommendation were focused on better serving users and overlooked the purpose of…

Information Retrieval · Computer Science 2021-10-22 Qiang Dong , Shuang-Shuang Xie , Wen-Jun Li

Product search is generally recognized as the first and foremost stage of online shopping and thus significant for users and retailers of e-commerce. Most of the traditional retrieval methods use some similarity functions to match the…

Information Retrieval · Computer Science 2019-09-02 Jie Zou , Evangelos Kanoulas
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