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The Schatten-$p$ quasi-norm with $p\in(0,1)$ has recently gained considerable attention in various low-rank matrix estimation problems offering significant benefits over relevant convex heuristics such as the nuclear norm. However, due to…

数值分析 · 数学 2020-10-28 Paris Giampouras , René Vidal , Athanasios Rontogiannis , Benjamin Haeffele

Recently, tensor data (or multidimensional array) have been generated in many modern applications, such as functional magnetic resonance imaging (fMRI) in neuroscience and videos in video analysis. Many efforts are made in recent years to…

机器学习 · 计算机科学 2023-08-10 Jiaqi Zhang , Yinghao Cai , Zhaoyang Wang , Beilun Wang

As industrial systems become more complex and monitoring sensors for everything from surveillance to our health become more ubiquitous, multivariate time series prediction is taking an important place in the smooth-running of our society. A…

机器学习 · 计算机科学 2022-03-03 Fan Jin , Ke Zhang , Yipan Huang , Yifei Zhu , Baiping Chen

Low rank tensor representation (LRTR) methods are very useful for hyperspectral anomaly detection (HAD). To overcome the limitations that they often overlook spectral anomaly and rely on large-scale matrix singular value decomposition, we…

计算机视觉与模式识别 · 计算机科学 2025-03-10 Quan Yu , Yu-Hong Dai , Minru Bai

The essential task of tensor data analysis focuses on the tensor decomposition and the corresponding notion of rank. In this paper, by introducing the notion of tensor Singular Value Decomposition (t-SVD), we establish a Regularized Tensor…

信息论 · 计算机科学 2024-09-30 Feng Zhang , Wendong Wang , Jianwen Huang , Yao Wang , Jianjun Wang

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

This paper introduces a simple principle for robust high-dimensional statistical inference via an appropriate shrinkage on the data. This widens the scope of high-dimensional techniques, reducing the moment conditions from sub-exponential…

统计理论 · 数学 2017-05-08 Jianqing Fan , Weichen Wang , Ziwei Zhu

State-of-the-art (SOTA) gradient-based adversarial attacks on spiking neural networks (SNNs), which largely rely on extending FGSM and PGD frameworks, face a critical limitation: substantial attack latency from multi-timestep processing,…

计算机视觉与模式识别 · 计算机科学 2025-08-20 Donghwa Kang , Doohyun Kim , Sang-Ki Ko , Jinkyu Lee , Hyeongboo Baek , Brent ByungHoon Kang

Intelligent transportation systems (ITS) rely heavily on complete and high-quality spatiotemporal traffic data to achieve optimal performance. Nevertheless, in real-word traffic data collection processes, issues such as communication…

机器学习 · 计算机科学 2025-07-01 Lei Yang

Modern sensing and metrology systems now stream terabytes of heterogeneous, high-dimensional (HD) data profiles, images, and dense point clouds, whose natural representation is multi-way tensors. Understanding such data requires regression…

机器学习 · 计算机科学 2025-10-08 Qian Wang , Mohammad N. Bisheh , Kamran Paynabar

Regional traffic forecasting is a critical challenge in urban mobility, with applications to various fields such as the Internet of Everything. In recent years, spatio-temporal graph neural networks have achieved state-of-the-art results in…

Imputing missing values in spatial-temporal traffic data is essential for intelligent transportation systems. Among advanced imputation methods, score-based diffusion models have demonstrated competitive performance. These models generate…

机器学习 · 计算机科学 2026-01-09 Xiaowei Mao , Huihu Ding , Yan Lin , Tingrui Wu , Shengnan Guo , Dazhuo Qiu , Feiling Fang , Jilin Hu , Huaiyu Wan

The plethora of Internet of Things (IoT) devices leads to explosive network traffic. The network traffic classification (NTC) is an essential tool to explore behaviours of network flows, and NTC is required for Internet service providers…

网络与互联网体系结构 · 计算机科学 2021-10-01 Yoga Suhas Kuruba Manjunath , Sihao Zhao , Xiao-Ping Zhang

We propose a novel neural network architecture (TSympOCNet) to address high--dimensional optimal control problems with linear and nonlinear dynamics. An important application of this method is to solve the path planning problem of…

最优化与控制 · 数学 2024-08-08 Zhen Zhang , Chenye Wang , Shanqing Liu , Jerome Darbon , George Karniadakis

With the advances in data acquisition technology, tensor objects are collected in a variety of applications including multimedia, medical and hyperspectral imaging. As the dimensionality of tensor objects is usually very high,…

图像与视频处理 · 电气工程与系统科学 2019-11-06 Seyyid Emre Sofuoglu , Selin Aviyente

Anomaly detection in spatiotemporal data is a challenging problem encountered in a variety of applications including hyperspectral imaging, video surveillance and urban traffic monitoring. In the case of urban traffic data, anomalies refer…

信号处理 · 电气工程与系统科学 2021-03-02 Seyyid Emre Sofuoglu , Selin Aviyente

Robust tensor completion (RTC) aims to recover a low-rank tensor from its incomplete observation with outlier corruption. The recently proposed tensor ring (TR) model has demonstrated superiority in solving the RTC problem. However, the…

机器学习 · 计算机科学 2023-02-16 Zhenhao Huang , Yuning Qiu , Xinqi Chen , Weijun Sun , Guoxu Zhou

There is a significant expansion in both volume and range of applications along with the concomitant increase in the variety of data sources. These ever-expanding trends have highlighted the necessity for more versatile analysis tools that…

Recovery of internet network traffic data from incomplete observed data is an important issue in internet network engineering and management. In this paper, by fully combining the temporal stability and periodicity features in internet…

数值分析 · 数学 2020-05-25 Chen Ling , Gaohang Yu , Liqun Qi , Yanwei Xu

Traffic prediction constitutes a pivotal facet within the purview of Intelligent Transportation Systems (ITS), and the attainment of highly precise predictions holds profound significance for efficacious traffic management. The precision of…

机器学习 · 计算机科学 2024-10-27 Yilong Ren , Yue Chen , Shuai Liu , Boyue Wang , Haiyang Yu , Zhiyong Cui