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In intelligent transportation systems, traffic data imputation, estimating the missing value from partially observed data is an inevitable and challenging task. Previous studies have not fully considered traffic data's multidimensionality…

机器学习 · 统计学 2023-11-01 Wenwu Gong , Zhejun Huang , Lili Yang

Clustering is a core task in machine learning with wide-ranging applications in data mining and pattern recognition. However, its unsupervised nature makes it inherently challenging. Many existing clustering algorithms suffer from critical…

机器学习 · 计算机科学 2025-07-29 Ahmed Shokry , Ayman Khalafallah

This paper deals with the problem of clustering data returned by a radar sensor network that monitors a region where multiple moving targets are present. The network is formed by nodes with limited functionalities that transmit the…

信号处理 · 电气工程与系统科学 2024-05-07 Linjie Yan , Pia Addabbo , Nicomino Fiscante , Carmine Clemente , Chengpeng Hao , Gaetano Giunta , Danilo Orlando

Clustering on the data with multiple aspects, such as multi-view or multi-type relational data, has become popular in recent years due to their wide applicability. The approach using manifold learning with the Non-negative Matrix…

机器学习 · 计算机科学 2020-09-08 Khanh Luong , Richi Nayak

Tensor completion is an extension of matrix completion aimed at recovering a multiway data tensor by leveraging a given subset of its entries (observations) and the pattern of observation. The low-rank assumption is key in establishing a…

数值分析 · 数学 2026-03-12 Shakir Showkat Sofi , Lieven De Lathauwer

Low rank tensor learning, such as tensor completion and multilinear multitask learning, has received much attention in recent years. In this paper, we propose higher order matching pursuit for low rank tensor learning problems with a convex…

机器学习 · 统计学 2015-03-10 Yuning Yang , Siamak Mehrkanoon , Johan A. K. Suykens

The traditional approach to distributed machine learning is to adapt learning algorithms to the network, e.g., reducing updates to curb overhead. Networks based on intelligent edge, instead, make it possible to follow the opposite approach,…

网络与互联网体系结构 · 计算机科学 2022-07-07 Francesco Malandrino , Carla Fabiana Chiasserini , Nuria Molner , Antonio De La Oliva

We consider a variant of matrix completion where entries are revealed in a biased manner. We wish to understand the extent to which such bias can be exploited in improving predictions. Towards that, we propose a natural model where the…

机器学习 · 计算机科学 2025-01-03 Yassir Jedra , Sean Mann , Charlotte Park , Devavrat Shah

This paper studies the statistical and computational limits of high-order clustering with planted structures. We focus on two clustering models, constant high-order clustering (CHC) and rank-one higher-order clustering (ROHC), and study the…

统计理论 · 数学 2023-10-04 Yuetian Luo , Anru R. Zhang

We consider the problem of flexible modeling of higher order hidden Markov models when the number of latent states and the nature of the serial dependence, including the true order, are unknown. We propose Bayesian nonparametric methodology…

统计方法学 · 统计学 2019-02-06 Abhra Sarkar , David B. Dunson

Higher-order tensors have received increased attention across science and engineering. While most tensor decomposition methods are developed for a single tensor observation, scientific studies often collect side information, in the form of…

统计方法学 · 统计学 2021-10-29 Jiaxin Hu , Chanwoo Lee , Miaoyan Wang

Learning representations of nodes in a low dimensional space is a crucial task with many interesting applications in network analysis, including link prediction and node classification. Two popular approaches for this problem include matrix…

社会与信息网络 · 计算机科学 2019-09-11 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros

This work presents a comprehensive understanding of the estimation of a planted low-rank signal from a general spiked tensor model near the computational threshold. Relying on standard tools from the theory of large random matrices, we…

机器学习 · 统计学 2025-01-15 Hugo Lebeau , Florent Chatelain , Romain Couillet

Nested dropout is a variant of dropout operation that is able to order network parameters or features based on the pre-defined importance during training. It has been explored for: I. Constructing nested nets: the nested nets are neural…

机器学习 · 计算机科学 2022-06-20 Yufei Cui , Yu Mao , Ziquan Liu , Qiao Li , Antoni B. Chan , Xue Liu , Tei-Wei Kuo , Chun Jason Xue

Using the matrix product state (MPS) representation of tensor train decompositions, in this paper we propose a tensor completion algorithm which alternates over the matrices (tensors) in the MPS representation. This development is motivated…

数值分析 · 计算机科学 2016-10-03 Wenqi Wang , Vaneet Aggarwal , Shuchin Aeron

We propose a generative model for robust tensor factorization in the presence of both missing data and outliers. The objective is to explicitly infer the underlying low-CP-rank tensor capturing the global information and a sparse tensor…

计算机视觉与模式识别 · 计算机科学 2016-06-21 Qibin Zhao , Guoxu Zhou , Liqing Zhang , Andrzej Cichocki , Shun-ichi Amari

Machine learning algorithms have enabled computers to predict things by learning from previous data. The data storage and processing power are increasing rapidly, thus increasing machine learning and Artificial intelligence applications.…

分布式、并行与集群计算 · 计算机科学 2021-09-14 Muhammad Fahad Saleem

Dense linear layers are the dominant computational bottleneck in foundation models. Identifying more efficient alternatives to dense matrices has enormous potential for building more compute-efficient models, as exemplified by the success…

机器学习 · 计算机科学 2024-06-11 Shikai Qiu , Andres Potapczynski , Marc Finzi , Micah Goldblum , Andrew Gordon Wilson

Deep clustering has increasingly been demonstrating superiority over conventional shallow clustering algorithms. Deep clustering algorithms usually combine representation learning with deep neural networks to achieve this performance,…

机器学习 · 计算机科学 2020-07-01 Ryan McConville , Raul Santos-Rodriguez , Robert J Piechocki , Ian Craddock

The so-called block-term decomposition (BTD) tensor model, especially in its rank-$(L_r,L_r,1)$ version, has been recently receiving increasing attention due to its enhanced ability of representing systems and signals that are composed of…

统计方法学 · 统计学 2022-05-04 Paris V. Giampouras , Athanasios A. Rontogiannis , Eleftherios Kofidis