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This paper conducts a rigorous analysis for provable estimation of multidimensional arrays, in particular third-order tensors, from a random subset of its corrupted entries. Our study rests heavily on a recently proposed tensor algebraic…

机器学习 · 计算机科学 2017-08-03 Jonathan Q. Jiang , Michael K. Ng

This article introduces Transformer Quantile Regression Neural Networks (TQRNNs), a novel data-driven solution for real-time machine failure prediction in manufacturing contexts. Our objective is to develop an advanced predictive…

信号处理 · 电气工程与系统科学 2024-11-25 David J Poland , Lemuel Puglisi , Daniele Ravi

The low rank tensor completion (LRTC) problem has attracted great attention in computer vision and signal processing. How to acquire high quality image recovery effect is still an urgent task to be solved at present. This paper proposes a…

数值分析 · 数学 2022-07-12 Hongbing Zhang , Xinyi Liu , Hongtao Fan , Yajing Li , Yinlin Ye

Recently, tensor fibered rank has demonstrated impressive performance by effectively leveraging the global low-rank property in all directions for low-rank tensor completion (LRTC). However, it still has some limitations. Firstly, the…

数值分析 · 数学 2025-04-01 Ziming Chen , Xiaoqing Zhang

With the advent of Big Data, nowadays in many applications databases containing large quantities of similar time series are available. Forecasting time series in these domains with traditional univariate forecasting procedures leaves great…

机器学习 · 计算机科学 2018-09-13 Kasun Bandara , Christoph Bergmeir , Slawek Smyl

Convolutional Neural Networks (CNN) has achieved a great success in image recognition task by automatically learning a hierarchical feature representation from raw data. While the majority of Time-Series Classification (TSC) literature is…

计算机视觉与模式识别 · 计算机科学 2017-10-10 Nima Hatami , Yann Gavet , Johan Debayle

Time series forecasting has received wide interest from existing research due to its broad applications and inherent challenging. The research challenge lies in identifying effective patterns in historical series and applying them to future…

机器学习 · 计算机科学 2023-07-14 Tianlong Zhao , Xiang Ma , Xuemei Li , Caiming Zhang

Transient stability prediction is critically essential to the fast online assessment and maintaining the stable operation in power systems. The wide deployment of phasor measurement units (PMUs) promotes the development of data-driven…

系统与控制 · 电气工程与系统科学 2025-09-23 Peiyuan Sun , Long Huo , Siyuan Liang , Xin Chen

The main challenge with the tensor completion problem is a fundamental tension between computation power and the information-theoretic sample complexity rate. Past approaches either achieve the information-theoretic rate but lack practical…

最优化与控制 · 数学 2024-04-05 Xin Chen , Sukanya Kudva , Yongzheng Dai , Anil Aswani , Chen Chen

Despite the notable advancements in numerous Transformer-based models, the task of long multi-horizon time series forecasting remains a persistent challenge, especially towards explainability. Focusing on commonly used saliency maps in…

机器学习 · 计算机科学 2023-09-18 Nghia Duong-Trung , Duc-Manh Nguyen , Danh Le-Phuoc

With the recent development and advancement of Transformer and MLP architectures, significant strides have been made in time series analysis. Conversely, the performance of Convolutional Neural Networks (CNNs) in time series analysis has…

机器学习 · 计算机科学 2025-03-12 Chenghan Li , Mingchen Li , Ruisheng Diao

Conformal prediction offers a practical framework for distribution-free uncertainty quantification, providing finite-sample coverage guarantees under relatively mild assumptions on data exchangeability. However, these assumptions cease to…

Tensor neural networks (TNNs) have demonstrated their superiority in solving high-dimensional problems. However, similar to conventional neural networks, TNNs are also influenced by the Frequency Principle, which limits their ability to…

机器学习 · 计算机科学 2026-05-15 Jizu Huang , Yue Qiu , Rukang You

Various deep learning models, especially some latest Transformer-based approaches, have greatly improved the state-of-art performance for long-term time series forecasting.However, those transformer-based models suffer a severe…

机器学习 · 计算机科学 2022-06-27 Tian Zhou , Jianqing Zhu , Xue Wang , Ziqing Ma , Qingsong Wen , Liang Sun , Rong Jin

Time Series Classification (TSC) is an important and challenging problem in data mining. With the increase of time series data availability, hundreds of TSC algorithms have been proposed. Among these methods, only a few have considered Deep…

How can we accurately complete tensors by learning relationships of dimensions along each mode? Tensor completion, a widely studied problem, is to predict missing entries in incomplete tensors. Tensor decomposition methods, fundamental…

机器学习 · 计算机科学 2025-03-28 Dawon Ahn , Evangelos E. Papalexakis

In contemporary data-driven environments, the generation and processing of multivariate time series data is an omnipresent challenge, often complicated by time delays between different time series. These delays, originating from a multitude…

机器学习 · 计算机科学 2024-08-26 Jiajie Wang , Zhiyuan Jerry Lin , Wen Chen

Accurate and reliable energy time series prediction is of great significance for power generation planning and allocation. At present, deep learning time series prediction has become the mainstream method. However, the multi-scale time…

机器学习 · 计算机科学 2025-08-08 Wei Li , Zixin Wang , Qizheng Sun , Qixiang Gao , Fenglei Yang

Tensor time series, which is a time series consisting of tensorial observations, has become ubiquitous. It typically exhibits high dimensionality. One approach for dimension reduction is to use a factor model structure, in a form similar to…

统计方法学 · 统计学 2024-07-19 Yuefeng Han , Rong Chen , Dan Yang , Cun-Hui Zhang

In real-world scenarios, spatiotemporal traffic data frequently experiences dual degradation from missing values and noise caused by sensor malfunctions and communication failures. Therefore, effective data recovery methods are essential to…

机器学习 · 计算机科学 2025-07-01 Hao Shu , Jicheng Li , Tianyv Lei , Lijun Sun