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With the rapid growth of the Internet and overwhelming amount of information and choices that people are confronted with, recommender systems have been developed to effectively support users' decision-making process in the online systems.…

Information Retrieval · Computer Science 2014-03-05 Wei Zeng , An Zeng , Ming-Sheng Shang , Yi-Cheng Zhang

Matrix factorization learned by implicit alternating least squares (iALS) is a popular baseline in recommender system research publications. iALS is known to be one of the most computationally efficient and scalable collaborative filtering…

Information Retrieval · Computer Science 2021-10-28 Steffen Rendle , Walid Krichene , Li Zhang , Yehuda Koren

Recommender system is a very promising way to address the problem of overabundant information for online users. Though the information filtering for the online commercial systems received much attention recently, almost all of the previous…

Physics and Society · Physics 2012-12-20 Fuguo Zhang , An Zeng

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 this paper, we propose a novel element-wise subset selection method for the alternating least squares (ALS) algorithm, focusing on low-rank matrix factorization involving matrices with missing values, as commonly encountered in…

Methodology · Statistics 2025-11-12 Dunyao Xue , Mengyu Li , Cheng Meng , Jingyi Zhang

In this paper, we propose a novel algorithm for analysis-based sparsity reconstruction. It can solve the generalized problem by structured sparsity regularization with an orthogonal basis and total variation regularization. The proposed…

Computer Vision and Pattern Recognition · Computer Science 2015-04-29 Chen Chen , Junzhou Huang , Lei He , Hongsheng Li

We present a new, simple and computationally efficient iterative method for low rank matrix completion. Our method is inspired by the class of factorization-type iterative algorithms, but substantially differs from them in the way the…

Optimization and Control · Mathematics 2021-06-30 Jonathan Bauch , Boaz Nadler , Pini Zilber

Building recommendation algorithms is one of the most challenging tasks in Machine Learning. Although most of the recommendation systems are built on explicit feedback available from the users in terms of rating or text, a majority of the…

Machine Learning · Computer Science 2016-08-23 Sayantan Dasgupta

In this paper we present a method for reformulating the Recommender Systems problem in an Information Retrieval one. In our tests we have a dataset of users who give ratings for some movies; we hide some values from the dataset, and we try…

Information Retrieval · Computer Science 2011-06-03 Alberto Costa , Fabio Roda

The task of predicting missing entries of a matrix, from a subset of known entries, is known as \textit{matrix completion}. In today's data-driven world, data completion is essential whether it is the main goal or a pre-processing step.…

Numerical Analysis · Mathematics 2021-05-18 Henry Adams , Lara Kassab , Deanna Needell

We propose a new algorithm for the problem of recovering data that adheres to multiple, heterogeneous low-dimensional structures from linear observations. Focusing on data matrices that are simultaneously row-sparse and low-rank, we propose…

Machine Learning · Computer Science 2024-01-19 Christian Kümmerle , Johannes Maly

We explore the task of local music recommendation: provide listeners with personalized playlists of relevant tracks by artists who play most of their live events within a small geographic area. Most local artists tend to be obscure,…

Information Retrieval · Computer Science 2019-07-23 Daniel Akimchuk , Timothy Clerico , Douglas Turnbull

We propose an iterative algorithm for low-rank matrix completion that can be interpreted as an iteratively reweighted least squares (IRLS) algorithm, a saddle-escaping smoothing Newton method or a variable metric proximal gradient method…

Optimization and Control · Mathematics 2021-06-07 Christian Kümmerle , Claudio Mayrink Verdun

Edge-preserving image smoothing is a fundamental procedure for many computer vision and graphic applications. There is a tradeoff between the smoothing quality and the processing speed: the high smoothing quality usually requires a high…

Graphics · Computer Science 2020-05-19 Wei Liu , Pingping Zhang , Xiaolin Huang , Jie Yang , Chunhua Shen , Ian Reid

Recommender Systems are a subclass of machine learning systems that employ sophisticated information filtering strategies to reduce the search time and suggest the most relevant items to any particular user. Hybrid recommender systems…

Information Retrieval · Computer Science 2022-07-20 Pratik K. Biswas , Songlin Liu

The recovery of sparse data is at the core of many applications in machine learning and signal processing. While such problems can be tackled using $\ell_1$-regularization as in the LASSO estimator and in the Basis Pursuit approach,…

Optimization and Control · Mathematics 2021-11-15 Christian Kümmerle , Claudio Mayrink Verdun , Dominik Stöger

We analyze an Iteratively Re-weighted Least Squares (IRLS) algorithm for promoting l1-minimization in sparse and compressible vector recovery. We prove its convergence and we estimate its local rate. We show how the algorithm can be…

Numerical Analysis · Mathematics 2008-07-04 Ingrid Daubechies , Ronald DeVore , Massimo Fornasier , C. Sinan Gunturk

The abundance of information in web applications make recommendation essential for users as well as applications. Despite the effectiveness of existing recommender systems, we find two major limitations that reduce their overall…

Information Retrieval · Computer Science 2020-09-01 Dilruk Perera , Roger Zimmermann

Invariable step size based least-mean-square error (ISS-LMS) was considered as a very simple adaptive filtering algorithm and hence it has been widely utilized in many applications, such as adaptive channel estimation. It is well known that…

Information Theory · Computer Science 2015-01-29 Beiyi Liu , Guan Gui , Li Xu , Nobuhiro Shimoi

We propose a new algorithm for recommender systems with numeric ratings which is based on Pattern Structures (RAPS). As the input the algorithm takes rating matrix, e.g., such that it contains movies rated by users. For a target user, the…

Information Retrieval · Computer Science 2015-07-21 Dmitry I. Ignatov , Denis Kornilov
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