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Given a linear regression setting, Iterative Least Trimmed Squares (ILTS) involves alternating between (a) selecting the subset of samples with lowest current loss, and (b) re-fitting the linear model only on that subset. Both steps are…

Machine Learning · Computer Science 2019-11-13 Yanyao Shen , Sujay Sanghavi

Image smoothing is by reducing pixel-wise gradients to smooth out details. As existing methods always rely on gradients to determine smoothing manners, it is difficult to distinguish structures and details to handle distinctively due to the…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Shengchun Wang , Wencheng Wang , Fei Hou

We introduce a novel optimization algorithm for image recovery under learned sparse and low-rank constraints, which we parameterize as weighted extensions of the $\ell_p^p$-vector and $\mathcal S_p^p$ Schatten-matrix quasi-norms for…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Stamatios Lefkimmiatis , Iaroslav Koshelev

This work presents a general framework for solving the low rank and/or sparse matrix minimization problems, which may involve multiple non-smooth terms. The Iteratively Reweighted Least Squares (IRLS) method is a fast solver, which smooths…

Machine Learning · Computer Science 2015-06-18 Canyi Lu , Zhouchen Lin , Shuicheng Yan

We address the numerical solution of minimal norm residuals of {\it nonlinear} equations in finite dimensions. We take inspiration from the problem of finding a sparse vector solution by using greedy algorithms based on iterative residual…

Numerical Analysis · Mathematics 2015-04-28 Juliane Sigl

In order to improve the performance of Least Mean Square (LMS) based system identification of sparse systems, a new adaptive algorithm is proposed which utilizes the sparsity property of such systems. A general approximating approach on…

Information Theory · Computer Science 2015-06-15 Yuantao Gu , Jian Jin , Shunliang Mei

We propose a novel algorithm for greedy forward feature selection for regularized least-squares (RLS) regression and classification, also known as the least-squares support vector machine or ridge regression. The algorithm, which we call…

Machine Learning · Statistics 2010-03-19 Tapio Pahikkala , Antti Airola , Tapio Salakoski

Solving an integer least squares (ILS) problem usually consists of two stages: reduction and search. This thesis is concerned with the reduction process for the ordinary ILS problem and the ellipsoid-constrained ILS problem. For the…

Optimization and Control · Mathematics 2015-03-17 Mazen Al Borno

Scalability and data sparsity remain critical bottlenecks for collaborative filtering on massive interaction datasets. This work investigates the latent geometry of user preferences using the MovieLens 32M dataset, implementing a…

Computer Vision and Pattern Recognition · Computer Science 2026-01-14 Joshua Salako

Interactions between search and recommendation have recently attracted significant attention, and several studies have shown that many potential applications involve with a joint problem of producing recommendations to users with respect to…

Information Retrieval · Computer Science 2014-12-15 Lu Yu , Junming Huang , Chuang Liu , Zike Zhang

Recommender systems (RSs) are software tools and algorithms developed to alleviate the problem of information overload, which makes it difficult for a user to make right decisions. Two main paradigms toward the recommendation problem are…

Information Retrieval · Computer Science 2021-05-24 Mehdi Afsar , Trafford Crump , Behrouz Far

There is much empirical evidence that item-item collaborative filtering works well in practice. Motivated to understand this, we provide a framework to design and analyze various recommendation algorithms. The setup amounts to online binary…

Machine Learning · Computer Science 2016-01-11 Guy Bresler , Devavrat Shah , Luis F. Voloch

Recommender systems have shown great potential to address information overload problem, namely to help users in finding interesting and relevant objects within a huge information space. Some physical dynamics, including heat conduction…

Data Analysis, Statistics and Probability · Physics 2011-07-04 Linyuan Lu , Weiping Liu

Thanks to their scalability, two-stage recommenders are used by many of today's largest online platforms, including YouTube, LinkedIn, and Pinterest. These systems produce recommendations in two steps: (i) multiple nominators, tuned for low…

Information Retrieval · Computer Science 2022-01-14 Jiri Hron , Karl Krauth , Michael I. Jordan , Niki Kilbertus

Two-stage recommender systems are widely adopted in industry due to their scalability and maintainability. These systems produce recommendations in two steps: (i) multiple nominators preselect a small number of items from a large pool using…

Information Retrieval · Computer Science 2020-09-21 Jiri Hron , Karl Krauth , Michael I. Jordan , Niki Kilbertus

Dealing with sparse, long-tailed datasets, and cold-start problems is always a challenge for recommender systems. These issues can partly be dealt with by making predictions not in isolation, but by leveraging information from related…

Information Retrieval · Computer Science 2017-08-16 Chenwei Cai , Ruining He , Julian McAuley

Statistics based privacy-aware recommender systems make suggestions more powerful by extracting knowledge from the log of social contacts interactions, but unfortunately, they are static. Moreover, advice from local experts effective in…

Information Retrieval · Computer Science 2020-07-31 Diyah Puspitaningrum , Julio Fernando , Edo Afriando , Ferzha Putra Utama , Rina Rahmadini , Y. Pinata

In this paper, we propose a two-stage ranking approach for recommending linear TV programs. The proposed approach first leverages user viewing patterns regarding time and TV channels to identify potential candidates for recommendation and…

Information Retrieval · Computer Science 2020-09-21 Sheng-Chieh Lin , Ting-Wei Lin , Jing-Kai Lou , Ming-Feng Tsai , Chuan-Ju Wang

We propose a new iteratively reweighted least squares (IRLS) algorithm for the recovery of a matrix $X \in \mathbb{C}^{d_1\times d_2}$ of rank $r \ll\min(d_1,d_2)$ from incomplete linear observations, solving a sequence of low complexity…

Numerical Analysis · Mathematics 2018-02-28 Christian Kümmerle , Juliane Sigl

Recommending items to users is a challenging task due to the large amount of missing information. In many cases, the data solely consist of ratings or tags voluntarily contributed by each user on a very limited subset of the available…

Machine Learning · Statistics 2015-10-01 Claire Vernade , Olivier Cappé