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This paper, broadly speaking, covers the use of randomness in two main areas: low-rank approximation and kernel methods. Low-rank approximation is very important in numerical linear algebra. Many applications depend on matrix decomposition…

Numerical Analysis · Mathematics 2020-08-12 Rishi Advani , Madison Crim , Sean O'Hagan

Pre-ranking is a critical stage in industrial recommendation systems, tasked with efficiently scoring thousands of recalled items for downstream ranking. A key challenge is the train-serving discrepancy: pre-ranking models are trained only…

Information Retrieval · Computer Science 2026-02-25 Junyu Bi , Xinting Niu , Daixuan Cheng , Kun Yuan , Tao Wang , Binbin Cao , Jian Wu , Yuning Jiang

The low-rank matrix completion problem can be succinctly stated as follows: given a subset of the entries of a matrix, find a low-rank matrix consistent with the observations. While several low-complexity algorithms for matrix completion…

Information Theory · Computer Science 2010-06-11 Wei Dai , Ely Kerman , Olgica Milenkovic

Recommender systems can be formulated as a matrix completion problem, predicting ratings from user and item parameter vectors. Optimizing these parameters by subsampling data becomes difficult as the number of users and items grows. We…

Information Retrieval · Computer Science 2018-07-09 Elias Tragas , Calvin Luo , Maxime Gazeau , Kevin Luk , David Duvenaud

In the last years, deep learning has shown to be a game-changing technology in artificial intelligence thanks to the numerous successes it reached in diverse application fields. Among others, the use of deep learning for the recommendation…

Information Retrieval · Computer Science 2018-07-16 Vito Bellini , Angelo Schiavone , Tommaso Di Noia , Azzurra Ragone , Eugenio Di Sciascio

Collaborative filtering problems are commonly solved based on matrix completion techniques which recover the missing values of user-item interaction matrices. In a matrix, the rating position specifically represents the user given and the…

Information Retrieval · Computer Science 2022-10-11 Taejun Lim , Siqu Long , Josiah Poon , Soyeon Caren Han

Recommender system is currently widely used in many e-commerce systems, such as Amazon, eBay, and so on. It aims to help users to find items which they may be interested in. In literature, neighborhood-based collaborative filtering and…

Social and Information Networks · Computer Science 2016-08-09 Yefeng Ruan , Tzu-Chun Lin

Recommender systems serve as foundational infrastructure in modern information ecosystems, helping users navigate digital content and discover items aligned with their preferences. At their core, recommender systems address a fundamental…

Information Retrieval · Computer Science 2026-05-12 Min Hou , Le Wu , Yuxin Liao , Yonghui Yang , Zhen Zhang , Yu Wang , Changlong Zheng , Han Wu , Richang Hong

A usual way to model a recommendation system is as a matrix completion problem. There are several matrix completion methods, typically using optimization approaches or collaborative filtering. Most approaches assume that the matrix is…

Information Retrieval · Computer Science 2017-07-20 Guilherme Ramos , Joao Saude , Carlos Caleiro , Soummya Kar

We propose efficient random features for approximating a new and rich class of kernel functions that we refer to as Generalized Zonal Kernels (GZK). Our proposed GZK family, generalizes the zonal kernels (i.e., dot-product kernels on the…

Machine Learning · Computer Science 2022-02-09 Insu Han , Amir Zandieh , Haim Avron

Although recent deep learning methods, especially generative models, have shown good performance in fast magnetic resonance imaging, there is still much room for improvement in high-dimensional generation. Considering that internal…

Computer Vision and Pattern Recognition · Computer Science 2022-12-13 Wei Zhang , Zengwei Xiao , Hui Tao , Minghui Zhang , Xiaoling Xu , Qiegen Liu

The conventional top-K recommendation, which presents the top-K items with the highest ranking scores, is a common practice for generating personalized ranking lists. However, is this fixed-size top-K recommendation the optimal approach for…

Information Retrieval · Computer Science 2024-02-27 Wonbin Kweon , SeongKu Kang , Sanghwan Jang , Hwanjo Yu

One of recent trends [30, 31, 14] in network architec- ture design is stacking small filters (e.g., 1x1 or 3x3) in the entire network because the stacked small filters is more ef- ficient than a large kernel, given the same computational…

Computer Vision and Pattern Recognition · Computer Science 2017-03-09 Chao Peng , Xiangyu Zhang , Gang Yu , Guiming Luo , Jian Sun

Personalized item recommendation typically suffers from data sparsity, which is most often addressed by learning vector representations of users and items via low-rank matrix factorization. While this effectively densifies the matrix by…

Information Retrieval · Computer Science 2025-02-18 Shib Dasgupta , Michael Boratko , Andrew McCallum

In image retrieval, deep local features learned in a data-driven manner have been demonstrated effective to improve retrieval performance. To realize efficient retrieval on large image database, some approaches quantize deep local features…

Image and Video Processing · Electrical Eng. & Systems 2021-12-14 Hui Wu , Min Wang , Wengang Zhou , Yang Hu , Houqiang Li

Generative recommendation systems, driven by large language models (LLMs), present an innovative approach to predicting user preferences by modeling items as token sequences and generating recommendations in a generative manner. A critical…

This paper develops a novel mathematical framework for collaborative learning by means of geometrically inspired kernel machines which includes statements on the bounds of generalisation and approximation errors, and sample complexity. For…

Recommender systems provide personalized recommendations to the users from a large number of possible options in online stores. Matrix factorization is a well-known and accurate collaborative filtering approach for recommender system, which…

Information Retrieval · Computer Science 2019-09-30 Seyed Mohammad Hashemi , Mohammad Rahmati

Recommender systems support decisions in various domains ranging from simple items such as books and movies to more complex items such as financial services, telecommunication equipment, and software systems. In this context,…

Information Retrieval · Computer Science 2021-02-15 Alexander Felfernig , Viet-Man Le , Andrei Popescu , Mathias Uta , Thi Ngoc Trang Tran , Müslüum Atas

A core objective in recommender systems is to accurately model the distribution of user preferences over items to enable personalized recommendations. Recently, driven by the strong generative capabilities of large language models (LLMs),…

Information Retrieval · Computer Science 2026-02-10 Yuanbo Zhao , Ruochen Liu , Senzhang Wang , Jun Yin , Yuxin Dong , Huan Gong , Hao Chen , Shirui Pan , Chengqi Zhang