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There has been substantial research on sub-linear time approximate algorithms for Maximum Inner Product Search (MIPS). To achieve fast query time, state-of-the-art techniques require significant preprocessing, which can be a burden when the…

Machine Learning · Computer Science 2018-12-18 Rui Liu , Tianyi Wu , Barzan Mozafari

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

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) 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

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

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

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 two linear bandits algorithms with per-step complexity sublinear in the number of arms $K$. The algorithms are designed for applications where the arm set is extremely large and slowly changing. Our key realization is that…

Machine Learning · Computer Science 2022-06-13 Shuo Yang , Tongzheng Ren , Sanjay Shakkottai , Eric Price , Inderjit S. Dhillon , Sujay Sanghavi

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

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 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

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) 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

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

We present the first provably sublinear time algorithm for approximate \emph{Maximum Inner Product Search} (MIPS). Our proposal is also the first hashing algorithm for searching with (un-normalized) inner product as the underlying…

Machine Learning · Statistics 2014-05-23 Anshumali Shrivastava , Ping Li

Recently it was shown that the problem of Maximum Inner Product Search (MIPS) is efficient and it admits provably sub-linear hashing algorithms. Asymmetric transformations before hashing were the key in solving MIPS which was otherwise…

Machine Learning · Statistics 2014-11-14 Anshumali Shrivastava , Ping Li

Low-precision networks, with weights and activations quantized to low bit-width, are widely used to accelerate inference on edge devices. However, current solutions are uniform, using identical bit-width for all filters. This fails to…

Machine Learning · Computer Science 2020-04-14 Zhaowei Cai , Nuno Vasconcelos

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

Mixed-integer programming (MIP) is a powerful paradigm for modeling and solving various important combinatorial optimization problems. Recently, learning-based approaches have shown a potential to speed up MIP solving via offline training…

Artificial Intelligence · Computer Science 2025-07-24 Junyang Cai , Serdar Kadioglu , Bistra Dilkina
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