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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

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

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

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

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 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

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

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

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

Recommender Systems (RS) often suffer from popularity bias, where a small set of popular items dominate the recommendation results due to their high interaction rates, leaving many less popular items overlooked. This phenomenon…

Information Retrieval · Computer Science 2025-05-27 Juno Prent , Masoud Mansoury

A common problem in machine learning is to rank a set of n items based on pairwise comparisons. Here ranking refers to partitioning the items into sets of pre-specified sizes according to their scores, which includes identification of the…

Machine Learning · Computer Science 2018-01-08 Reinhard Heckel , Max Simchowitz , Kannan Ramchandran , Martin J. Wainwright

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

Popularity bias is a well-known phenomenon in recommender systems: popular items are recommended even more frequently than their popularity would warrant, amplifying long-tail effects already present in many recommendation domains. Prior…

Information Retrieval · Computer Science 2020-07-27 Himan Abdollahpouri , Masoud Mansoury , Robin Burke , Bamshad Mobasher

The general aim of the recommender system is to provide personalized suggestions to users, which is opposed to suggesting popular items. However, the normal training paradigm, i.e., fitting a recommender model to recover the user behavior…

Information Retrieval · Computer Science 2021-06-08 Tianxin Wei , Fuli Feng , Jiawei Chen , Ziwei Wu , Jinfeng Yi , Xiangnan He

In real-world recommender systems, user-item interactions are Missing Not At Random (MNAR), as interactions with popular items are more frequently observed than those with less popular ones. Missing observations shift recommendations toward…

Information Retrieval · Computer Science 2025-12-25 Kazuma Onishi , Katsuhiko Hayashi , Hidetaka Kamigaito

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

Recommender systems learn from historical users' feedback that is often non-uniformly distributed across items. As a consequence, these systems may end up suggesting popular items more than niche items progressively, even when the latter…

Information Retrieval · Computer Science 2020-10-06 Ludovico Boratto , Gianni Fenu , Mirko Marras

The Internet increasingly focuses on content, as exemplified by the now popular Information Centric Networking paradigm. This means, in particular, that estimating content popularities becomes essential to manage and distribute content…

Networking and Internet Architecture · Computer Science 2015-10-27 Felipe Olmos , Bruno Kauffmann
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