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Predicting unobserved entries of a partially observed matrix has found wide applicability in several areas, such as recommender systems, computational biology, and computer vision. Many scalable methods with rigorous theoretical guarantees…

Machine Learning · Statistics 2018-02-15 Vatsal Shah , Nikhil Rao , Weicong Ding

Square matrices appear in many machine learning problems and models. Optimization over a large square matrix is expensive in memory and in time. Therefore an economic approximation is needed. Conventional approximation approaches factorize…

Machine Learning · Computer Science 2021-09-20 Ruslan Khalitov , Tong Yu , Lei Cheng , Zhirong Yang

This paper presents a novel factorization-based, low-rank regularization method for solving multidimensional deconvolution problems in the frequency domain. In this approach, each frequency component of the unknown wavefield is represented…

Geophysics · Physics 2024-10-29 Fuqiang Chen , Matteo Ravasi , David Keyes

Recommender systems are essential information technologies today, and recommendation algorithms combined with deep learning have become a research hotspot in this field. The recommendation model known as LFM (Latent Factor Model), which…

Information Retrieval · Computer Science 2024-03-27 Junyi Liu

With the rapid growth of digital information, personalized recommendation systems have become an indispensable part of Internet services, especially in the fields of e-commerce, social media, and online entertainment. However, traditional…

Information Retrieval · Computer Science 2024-11-12 Yuanshuai Luo , Rui Wang , Yaxin Liang , Ankai Liang , Wenyi Liu

Top-N recommender systems have been investigated widely both in industry and academia. However, the recommendation quality is far from satisfactory. In this paper, we propose a simple yet promising algorithm. We fill the user-item matrix…

Information Retrieval · Computer Science 2016-01-20 Zhao Kang , Chong Peng , Qiang Cheng

Beyond accuracy, quality measures are gaining importance in modern recommender systems, with reliability being one of the most important indicators in the context of collaborative filtering. This paper proposes Bernoulli Matrix…

Machine Learning · Computer Science 2022-03-07 Fernando Ortega , Raúl Lara-Cabrera , Ángel González-Prieto , Jesús Bobadilla

Recommendation algorithm plays an important role in recommendation system (RS), which predicts users' interests and preferences for some given items based on their known information. Recently, a recommendation algorithm based on the graph…

Information Retrieval · Computer Science 2023-07-06 Guangrui Yang , Lihua Yang , Qing Zhang , Zhihua Yang

The growing number of dimensionality reduction methods available for data visualization has recently inspired the development of quality assessment measures, in order to evaluate the resulting low-dimensional representation independently…

Machine Learning · Computer Science 2011-10-19 Wouter Lueks , Bassam Mokbel , Michael Biehl , Barbara Hammer

The embedding-based architecture has become the dominant approach in modern recommender systems, mapping users and items into a compact vector space. It then employs predefined similarity metrics, such as the inner product, to calculate…

Information Retrieval · Computer Science 2024-04-19 Liang Qu , Yun Lin , Wei Yuan , Xiaojun Wan , Yuhui Shi , Hongzhi Yin

Given a graph or similarity matrix, we consider the problem of recovering a notion of true distance between the nodes, and so their true positions. We show that this can be accomplished in two steps: matrix factorisation, followed by…

Machine Learning · Statistics 2022-09-23 Nick Whiteley , Annie Gray , Patrick Rubin-Delanchy

We study the following metric distortion problem: there are two finite sets of points, $V$ and $C$, that lie in the same metric space, and our goal is to choose a point in $C$ whose total distance from the points in $V$ is as small as…

Computer Science and Game Theory · Computer Science 2020-09-08 Vasilis Gkatzelis , Daniel Halpern , Nisarg Shah

The increasing role of recommender systems in many aspects of society makes it essential to consider how such systems may impact social good. Various modifications to recommendation algorithms have been proposed to improve their performance…

Information Retrieval · Computer Science 2019-01-29 Bashir Rastegarpanah , Krishna P. Gummadi , Mark Crovella

The past few years have witnessed the great success of recommender systems, which can significantly help users find out personalized items for them from the information era. One of the most widely applied recommendation methods is the…

Information Retrieval · Computer Science 2015-06-17 Chu-Xu Zhang , Zi-Ke Zhang , Lu Yu , Chuang Liu , Hao Liu , Xiao-Yong Yan

Matrix sensing is the problem of reconstructing a low-rank matrix from a few linear measurements. In many applications such as collaborative filtering, the famous Netflix prize problem, and seismic data interpolation, there exists some…

Information Theory · Computer Science 2019-04-30 Sajad Daei , Arash Amini , Farzan Haddadi

Ranking models, i.e., coarse-ranking and fine-ranking models, serve as core components in large-scale recommendation systems, responsible for scoring massive item candidates based on user preferences. To meet the stringent latency…

Information Retrieval · Computer Science 2026-02-27 Yusheng Huang , Pengbo Xu , Shen Wang , Changxin Lao , Jiangxia Cao , Shuang Wen , Shuang Yang , Zhaojie Liu , Han Li , Kun Gai

Matrix factorization is a key tool in data analysis; its applications include recommender systems, correlation analysis, signal processing, among others. Binary matrices are a particular case which has received significant attention for…

Machine Learning · Statistics 2019-01-30 Ignacio Ramirez

As a key application of artificial intelligence, recommender systems are among the most pervasive computer aided systems to help users find potential items of interests. Recently, researchers paid considerable attention to fairness issues…

Information Retrieval · Computer Science 2021-04-26 Le Wu , Lei Chen , Pengyang Shao , Richang Hong , Xiting Wang , Meng Wang

Matrix factorization is a popular approach to solving matrix estimation problems based on partial observations. Existing matrix factorization is based on least squares and aims to yield a low-rank matrix to interpret the conditional sample…

Machine Learning · Statistics 2017-03-06 Rui Zhu , Di Niu , Linglong Kong , Zongpeng Li

We present a general class of machine learning algorithms called parametric matrix models. In contrast with most existing machine learning models that imitate the biology of neurons, parametric matrix models use matrix equations that…

Machine Learning · Computer Science 2025-01-07 Patrick Cook , Danny Jammooa , Morten Hjorth-Jensen , Daniel D. Lee , Dean Lee