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This note studies a method for the efficient estimation of a finite number of unknown parameters from linear equations, which are perturbed by Gaussian noise. In case the unknown parameters have only few nonzero entries, the proposed…

Systems and Control · Computer Science 2014-05-27 Liang Dai , Kristiaan Pelckmans

We provide the first global model recovery results for the IRLS (iteratively reweighted least squares) heuristic for robust regression problems. IRLS is known to offer excellent performance, despite bad initializations and data corruption,…

Machine Learning · Computer Science 2020-06-26 Bhaskar Mukhoty , Govind Gopakumar , Prateek Jain , Purushottam Kar

New recursive least squares algorithms with rank two updates (RLSR2) that include both exponential and instantaneous forgetting (implemented via a proper choice of the forgetting factor and the window size) are introduced and systematically…

Optimization and Control · Mathematics 2025-07-16 Alexander Stotsky

We build a collaborative filtering recommender system to restore images with impulse noise for which the noisy pixels have been previously identified. We define this recommender system in terms of a new color image representation using…

Computer Vision and Pattern Recognition · Computer Science 2017-02-27 Alfredo Nava-Tudela

The recommender system is one of the most promising ways to address the information overload problem in online systems. Based on the personal historical record, the recommender system can find interesting and relevant objects for the user…

Information Retrieval · Computer Science 2015-06-17 An Zeng , Alexandre Vidmer , Matus Medo , Yi-Cheng Zhang

Production-grade recommender systems rely heavily on a large-scale corpus used by online media services, including Netflix, Pinterest, and Amazon. These systems enrich recommendations by learning users' and items' embeddings projected in a…

Information Retrieval · Computer Science 2024-03-05 Amit Kumar Jaiswal

Collaborative recommendation is an information-filtering technique that attempts to present information items (movies, music, books, news, images, Web pages, etc.) that are likely of interest to the Internet user. Traditionally,…

Machine Learning · Statistics 2009-10-14 Gérard Biau , Benoit Cadre , Laurent Rouvière

Many video-on-demand and music streaming services provide the user with a page consisting of several recommendation lists, i.e. widgets or swipeable carousels, each built with a specific criterion (e.g. most recent, TV series, etc.).…

Information Retrieval · Computer Science 2021-05-14 Nicolò Felicioni , Maurizio Ferrari Dacrema , Paolo Cremonesi

In this paper, we develop a new sequential regression modeling approach for data streams. Data streams are commonly found around us, e.g in a retail enterprise sales data is continuously collected every day. A demand forecasting model is an…

Machine Learning · Statistics 2017-01-11 Chitta Ranjan , Samaneh Ebrahimi , Kamran Paynabar

The least trimmed squares (LTS) is a reasonable formulation of robust regression whereas it suffers from high computational cost due to the nonconvexity and nonsmoothness of its objective function. The most frequently used FAST-LTS…

Computation · Statistics 2024-10-08 Shotaro Yagishita

We introduce fast algorithms for solving $\ell_{p}$ regression problems using the iteratively reweighted least squares (IRLS) method. Our approach achieves state-of-the-art iteration complexity, outperforming the IRLS algorithm by…

Data Structures and Algorithms · Computer Science 2025-10-03 Alina Ene , Ta Duy Nguyen , Adrian Vladu

In recommender systems, cold-start issues are situations where no previous events, e.g. ratings, are known for certain users or items. In this paper, we focus on the item cold-start problem. Both content information (e.g. item attributes)…

Information Retrieval · Computer Science 2018-05-24 Yu Zhu , Jinhao Lin , Shibi He , Beidou Wang , Ziyu Guan , Haifeng Liu , Deng Cai

Recommender systems have been widely adopted by electronic commerce and entertainment industries for individualized prediction and recommendation, which benefit consumers and improve business intelligence. In this article, we propose an…

Machine Learning · Statistics 2017-11-07 Xuan Bi , Annie Qu , Xiaotong Shen

Modern data-driven recommendation systems risk memorizing sensitive user behavioral patterns, raising privacy concerns. Existing recommendation unlearning methods, while capable of removing target data influence, suffer from inefficient…

Information Retrieval · Computer Science 2025-11-11 Junpeng Zhao , Lin Li , Ming Li , Amran Bhuiyan , Jimmy Huang

Recommender systems mainly tailor personalized recommendations according to user interests learned from user feedback. However, such recommender systems passively cater to user interests and even reinforce existing interests in the feedback…

Information Retrieval · Computer Science 2024-03-13 Shuxian Bi , Wenjie Wang , Hang Pan , Fuli Feng , Xiangnan He

Interactive Recommender Systems (IRSs) have attracted a lot of attention, due to their ability to model interactive processes between users and recommender systems. Numerous approaches have adopted Reinforcement Learning (RL) algorithms, as…

Information Retrieval · Computer Science 2023-08-23 Hojoon Lee , Dongyoon Hwang , Kyushik Min , Jaegul Choo

Most if not all on-line item-to-item recommendation systems rely on estimation of a distance like measure (rank) of similarity between items. For on-line recommendation systems, time sensitivity of this similarity measure is extremely…

Numerical Analysis · Mathematics 2023-02-06 Alexander Kushkuley , Joshua Correa

Rating elicitation is a success element for recommender systems to perform well at cold-starting, in which the systems need to recommend items to a newly arrived user with no prior knowledge about the user's preference. Existing elicitation…

Information Retrieval · Computer Science 2024-06-04 Hieu Trung Nguyen , Duy Nguyen , Khoa Doan , Viet Anh Nguyen

For reconstruction of low-rank matrices from undersampled measurements, we develop an iterative algorithm based on least-squares estimation. While the algorithm can be used for any low-rank matrix, it is also capable of exploiting a-priori…

Statistics Theory · Mathematics 2012-06-13 Dave Zachariah , Martin Sundin , Magnus Jansson , Saikat Chatterjee

This paper presents a two-stage online algorithm for recovery of low-rank parameter matrix in non-stationary stochastic systems. The first stage applies the recursive least squares (RLS) estimator combined with its singular value…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Yanxin Fu , Junbao Zhou , Yu Hu , Wenxiao Zhao