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相关论文: Adaptive incomplete multi-view learning via tensor…

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Inexact alternating direction multiplier methods (ADMMs) are developed for solving general separable convex optimization problems with a linear constraint and with an objective that is the sum of smooth and nonsmooth terms. The approach…

最优化与控制 · 数学 2016-04-12 William W. Hager , Hongchao Zhang

Recovering a low-rank tensor from incomplete information is a recurring problem in signal processing and machine learning. The most popular convex relaxation of this problem minimizes the sum of the nuclear norms of the unfoldings of the…

机器学习 · 统计学 2013-08-16 Cun Mu , Bo Huang , John Wright , Donald Goldfarb

We consider a framework for the construction of iterative schemes for operator equations that combine low-rank approximation in tensor formats and adaptive approximation in a basis. Under fairly general assumptions, we obtain a rigorous…

数值分析 · 数学 2014-03-17 Markus Bachmayr , Wolfgang Dahmen

Multi-view clustering methods have been a focus in recent years because of their superiority in clustering performance. However, typical traditional multi-view clustering algorithms still have shortcomings in some aspects, such as removal…

机器学习 · 计算机科学 2020-08-25 Junpeng Tan , Yukai Shi , Zhijing Yang , Caizhen Wen , Liang Lin

The task of estimating a matrix given a sample of observed entries is known as the \emph{matrix completion problem}. Most works on matrix completion have focused on recovering an unknown real-valued low-rank matrix from a random sample of…

统计理论 · 数学 2014-08-27 Olga Klopp , Jean Lafond , Eric Moulines , Joseph Salmon

Tensor decomposition methods are popular tools for learning latent variables given only lower-order moments of the data. However, the standard assumption is that we have sufficient data to estimate these moments to high accuracy. In this…

机器学习 · 统计学 2019-03-13 Omer Gottesman , Weiwei Pan , Finale Doshi-Velez

In this paper, we propose Total Variation Regularized Tensor-on-scalar Regression(TVTR), a novel method for estimating the association between a tensor outcome (a one dimensional or multidimensional array) and scalar predictors. While the…

统计方法学 · 统计学 2018-12-11 Ying Liu , Bowei Yan , Kathleen Merikangas , Haochang Shou

The Alternating Direction Method of Multipliers (ADMM) provides a natural way of solving inverse problems with multiple partial differential equations (PDE) forward models and nonsmooth regularization. ADMM allows splitting these…

数值分析 · 数学 2021-04-29 Luke Lozenski , Umberto Villa

Unsupervised anomaly detection aims to build models to effectively detect unseen anomalies by only training on the normal data. Although previous reconstruction-based methods have made fruitful progress, their generalization ability is…

机器学习 · 计算机科学 2022-01-04 Yuxin Zhang , Jindong Wang , Yiqiang Chen , Han Yu , Tao Qin

We study the problem of learning to rank from multiple information sources. Though multi-view learning and learning to rank have been studied extensively leading to a wide range of applications, multi-view learning to rank as a synergy of…

机器学习 · 计算机科学 2019-09-24 Guanqun Cao , Alexandros Iosifidis , Moncef Gabbouj , Vijay Raghavan , Raju Gottumukkala

A significant challenge to make learning techniques more suitable for general purpose use is to move beyond i) complete supervision, ii) low dimensional data, iii) a single task and single view per instance. Solving these challenges allows…

机器学习 · 计算机科学 2012-02-07 Buyue Qian , Xiang Wang , Ian Davidson

Incomplete multi-view clustering is a hot and emerging topic. It is well known that unavoidable data incompleteness greatly weakens the effective information of multi-view data. To date, existing incomplete multi-view clustering methods…

计算机视觉与模式识别 · 计算机科学 2024-01-19 Chengliang Liu , Jie Wen , Zhihao Wu , Xiaoling Luo , Chao Huang , Yong Xu

Obtaining meaningful solutions for inverse problems has been a major challenge with many applications in science and engineering. Recent machine learning techniques based on proximal and diffusion-based methods have shown promising results.…

机器学习 · 计算机科学 2024-02-08 Moshe Eliasof , Eldad Haber , Eran Treister

Multi-task learning has attracted much attention due to growing multi-purpose research with multiple related data sources. Moreover, transduction with matrix completion is a useful method in multi-label learning. In this paper, we propose a…

机器学习 · 统计学 2023-02-21 Hengfang Wang , Yasi Zhang , Xiaojun Mao , Zhonglei Wang

Features in machine learning problems are often time-varying and may be related to outputs in an algebraic or dynamical manner. The dynamic nature of these machine learning problems renders current higher order accelerated gradient descent…

最优化与控制 · 数学 2019-05-29 Joseph E. Gaudio , Travis E. Gibson , Anuradha M. Annaswamy , Michael A. Bolender

This paper proposes a supervised dimension reduction methodology for tensor data which has two advantages over most image-based prognostic models. First, the model does not require tensor data to be complete which expands its application to…

机器学习 · 计算机科学 2023-06-06 Chengyu Zhou , Xiaolei Fang

In this paper, we propose a novel solution for non-convex problems of multiple variables, especially for those typically solved by an alternating minimization (AM) strategy that splits the original optimization problem into a set of…

机器学习 · 计算机科学 2022-06-28 Jingyuan Xia , Shengxi Li , Jun-Jie Huang , Imad Jaimoukha , Deniz Gunduz

Accurate and fast beam-alignment is essential to cope with the fast-varying environment in millimeter-wave communications. A data-driven approach is a promising solution to reduce the training overhead by leveraging side information and…

信号处理 · 电气工程与系统科学 2020-03-09 Tzu-Hsuan Chou , Nicolo Michelusi , David J. Love , James V. Krogmeier

This paper addresses the problem of efficiently classifying high-dimensional data over decentralized networks. Penalized support vector machines (SVMs) are widely used for high-dimensional classification tasks. However, the double…

机器学习 · 统计学 2025-03-11 Canyi Chen , Nan Qiao , Liping Zhu

In reality, learning from multi-view multi-label data inevitably confronts three challenges: missing labels, incomplete views, and non-aligned views. Existing methods mainly concern the first two and commonly need multiple assumptions to…

机器学习 · 计算机科学 2024-06-12 Xiang Li , Songcan Chen