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The singular value decomposition (SVD) is a crucial tool in machine learning and statistical data analysis. However, it is highly susceptible to outliers in the data matrix. Existing robust SVD algorithms often sacrifice speed for…

机器学习 · 统计学 2024-02-16 Sangil Han , Kyoowon Kim , Sungkyu Jung

Higher order singular value decomposition (HOSVD) is an important tool for analyzing big data in multilinear algebra and machine learning. In this paper, we present two quantum algorithms for HOSVD. Our methods allow one to decompose a…

量子物理 · 物理学 2020-04-07 Lejia Gu , Xiaoqiang Wang , H. W. Joseph Lee , Guofeng Zhang

In this paper we consider the collaborative ranking setting: a pool of users each provides a small number of pairwise preferences between $d$ possible items; from these we need to predict preferences of the users for items they have not yet…

机器学习 · 统计学 2015-07-17 Dohyung Park , Joe Neeman , Jin Zhang , Sujay Sanghavi , Inderjit S. Dhillon

Accurate modeling of the complex dynamics of fluid flows is a fundamental challenge in computational physics and engineering. This study presents an innovative integration of High-Order Singular Value Decomposition (HOSVD) with Long…

While transfer learning is an effective strategy, it often overlooks the opportunity to leverage knowledge from numerous available models online. Addressing this multi-source transfer learning problem is a promising path to boost…

机器学习 · 计算机科学 2026-04-24 Marcin Osial , Bartosz Wójcik , Bartosz Zieliński , Sebastian Cygert

Cold-start has being a critical issue in recommender systems with the explosion of data in e-commerce. Most existing studies proposed to alleviate the cold-start problem are also known as hybrid recommender systems that learn…

信息检索 · 计算机科学 2020-11-03 Yan Zhang , Ivor W. Tsang , Lixin Duan

We extend the randomized singular value decomposition (SVD) algorithm \citep{Halko2011finding} to estimate the SVD of a shifted data matrix without explicitly constructing the matrix in the memory. With no loss in the accuracy of the…

机器学习 · 统计学 2019-12-02 Ali Basirat

Higher-order singular value decomposition (HOSVD) is an efficient way for data reduction and also eliciting intrinsic structure of multi-dimensional array data. It has been used in many applications, and some of them involve incomplete…

数值分析 · 数学 2016-08-11 Yangyang Xu

We provide an overview of tools enabling users to utilize data from open sources for decision-making support in weakly-structured subject domains. Presently, it is impossible to replace expert data with data from open sources in the process…

数据库 · 计算机科学 2019-11-14 Vitaliy Tsyganok , Sergii Kadenko , Oleh Andriichuk

Over the past decade, various matrix completion algorithms have been developed. Thresholded singular value decomposition (SVD) is a popular technique in implementing many of them. A sizable number of studies have shown its theoretical and…

统计方法学 · 统计学 2016-05-10 Juhee Cho , Donggyu Kim , Karl Rohe

Classical data analysis requires computational efforts that become intractable in the age of Big Data. An essential task in time series analysis is the extraction of physically meaningful information from a noisy time series. One algorithm…

A model-based collaborative filtering (CF) approach utilizing fast adaptive randomized singular value decomposition (SVD) is proposed for the matrix completion problem in recommender system. Firstly, a fast adaptive PCA frameworkis…

机器学习 · 计算机科学 2025-04-08 Xiangyun Ding , Wenjian Yu , Yuyang Xie , Shenghua Liu

Recommender systems use data on past user preferences to predict possible future likes and interests. A key challenge is that while the most useful individual recommendations are to be found among diverse niche objects, the most reliably…

信息检索 · 计算机科学 2010-03-15 Tao Zhou , Zoltan Kuscsik , Jian-Guo Liu , Matus Medo , Joseph R. Wakeling , Yi-Cheng Zhang

We consider an online model for recommendation systems, with each user being recommended an item at each time-step and providing 'like' or 'dislike' feedback. A latent variable model specifies the user preferences: both users and items are…

机器学习 · 统计学 2025-04-29 Mina Karzand , Guy Bresler

I present a hybrid matrix factorisation model representing users and items as linear combinations of their content features' latent factors. The model outperforms both collaborative and content-based models in cold-start or sparse…

信息检索 · 计算机科学 2015-07-31 Maciej Kula

With the advent of the information explosion era, the importance of recommendation systems in various applications is increasingly significant. Traditional collaborative filtering algorithms are widely used due to their effectiveness in…

人工智能 · 计算机科学 2024-12-30 Xueting Lin , Zhan Cheng , Longfei Yun , Qingyi Lu , Yuanshuai Luo

This paper presents a new method capable of reconstructing datasets with great precision and very low computational cost using a novel variant of the singular value decomposition (SVD) algorithm that has been named low-cost SVD (lcSVD).…

计算工程、金融与科学 · 计算机科学 2023-11-20 Ashton Hetherington , Soledad Le Clainche

Current machine algorithms for analysis of unstructured data typically show low accuracies due to the need for human-like intelligence. Conversely, though humans are much better than machine algorithms on analyzing unstructured data, they…

人机交互 · 计算机科学 2016-06-16 Koushik Sinha , Geetha Manjunath , Bidyut Gupta , Shahram Rahimi

Recommendation efficiency and data sparsity problems have been regarded as two challenges of improving performance for online recommendation. Most of the previous related work focus on improving recommendation accuracy instead of…

信息检索 · 计算机科学 2020-11-03 Yan Zhang , Ivor W. Tsang , Hongzhi Yin , Guowu Yang , Defu Lian , Jingjing Li

Recommendation system has been widely used in different areas. Collaborative filtering focuses on rating, ignoring the features of items itself. In order to effectively evaluate customers preferences on books, taking into consideration of…

信息检索 · 计算机科学 2018-05-01 Xixi Li , Jiahao Xing , Haihui Wang , Lingfang Zheng , Suling Jia , Qiang Wang