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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

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

Maximum Inner Product Search (MIPS) is an important task in many machine learning applications such as the prediction phase of a low-rank matrix factorization model for a recommender system. There have been some works on how to perform MIPS…

Data Structures and Algorithms · Computer Science 2016-10-12 Hsiang-Fu Yu , Cho-Jui Hsieh , Qi Lei , Inderjit S. Dhillon

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

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

Top-k maximum inner product search (MIPS) is a central task in many machine learning applications. This paper extends top-k MIPS with a budgeted setting, that asks for the best approximate top-k MIPS given a limit of B computational…

Databases · Computer Science 2020-09-15 Stephan S. Lorenzen , Ninh Pham

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

Diversity maximization aims to select a diverse and representative subset of items from a large dataset. It is a fundamental optimization task that finds applications in data summarization, feature selection, web search, recommender…

Data Structures and Algorithms · Computer Science 2023-04-27 Yanhao Wang , Michael Mathioudakis , Jia Li , Francesco Fabbri

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

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) 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

Diversity is an important principle in data selection and summarization, facility location, and recommendation systems. Our work focuses on maximizing diversity in data selection, while offering fairness guarantees. In particular, we offer…

Data Structures and Algorithms · Computer Science 2020-10-20 Zafeiria Moumoulidou , Andrew McGregor , Alexandra Meliou

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

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

Approximate $k$-nearest neighbor search (A$k$-NNS) is a core operation in vector databases, underpinning applications such as retrieval-augmented generation (RAG) and image retrieval. In these scenarios, users often prefer diverse result…

Databases · Computer Science 2025-11-03 Jiachen Zhao , Xiao Yan , Eric Lo

Recommender systems often operate on item catalogs clustered by genres, and user bases that have natural clusterings into user types by demographic or psychographic attributes. Prior work on system-wide diversity has mainly focused on…

Information Retrieval · Computer Science 2019-08-28 Arda Antikacioglu , Tanvi Bajpai , R. Ravi

Similarity search based on a distance function in metric spaces is a fundamental problem for many applications. Queries for similar objects lead to the well-known machine learning task of nearest-neighbours identification. Many data…

Information Retrieval · Computer Science 2022-08-05 Felipe Ortega , Maria Jesus Algar , Isaac Martín de Diego , Javier M. Moguerza

The problem of relevant and diverse subset selection has a wide range of applications, including recommender systems and retrieval-augmented generation (RAG). For example, in recommender systems, one is interested in selecting relevant…

Machine Learning · Computer Science 2026-03-10 Vu Nguyen , Andrey Kan

Interactive graph search leverages human intelligence to categorize target labels in a hierarchy, which are useful for image classification, product categorization, and database search. However, many existing studies of interactive graph…

Databases · Computer Science 2020-12-18 Xuliang Zhu , Xin Huang , Byron Choi , Jiaxin Jiang , Zhaonian Zou , Jianliang Xu

The MIPS (maximum inner product search), which finds the item with the highest inner product with a given query user, is an essential problem in the recommendation field. It is usual that e-commerce companies face situations where they want…

Databases · Computer Science 2021-10-15 Daichi Amagata , Takahiro Hara
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