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We consider the problem of model selection in Gaussian Markov fields in the sample deficient scenario. In many practically important cases, the underlying networks are embedded into Euclidean spaces. Using the natural geometric structure,…

机器学习 · 统计学 2018-10-31 Ilya Soloveychik , Vahid Tarokh

Anomalies in univariate time series often refer to abnormal values and deviations from the temporal patterns from majority of historical observations. In multivariate time series, anomalies also refer to abnormal changes in the inter-series…

机器学习 · 计算机科学 2023-02-07 Katrina Chen , Mingbin Feng , Tony S. Wirjanto

Undirected graphs are often used to describe high dimensional distributions. Under sparsity conditions, the graph can be estimated using $\ell_1$ penalization methods. However, current methods assume that the data are independent and…

机器学习 · 统计学 2008-04-29 Shuheng Zhou , John Lafferty , Larry Wasserman

In recent years, machine learning has established itself as a powerful tool for high-resolution weather forecasting. While most current machine learning models focus on deterministic forecasts, accurately capturing the uncertainty in the…

机器学习 · 计算机科学 2024-10-29 Joel Oskarsson , Tomas Landelius , Marc Peter Deisenroth , Fredrik Lindsten

Time series are the primary data type used to record dynamic system measurements and generated in great volume by both physical sensors and online processes (virtual sensors). Time series analytics is therefore crucial to unlocking the…

机器学习 · 计算机科学 2024-08-12 Ming Jin , Huan Yee Koh , Qingsong Wen , Daniele Zambon , Cesare Alippi , Geoffrey I. Webb , Irwin King , Shirui Pan

When deploying time series forecasting models based on machine learning to real world settings, one often encounter situations where the data distribution drifts. Such drifts expose the forecasting models to out-of-distribution (OOD) data,…

Spatio-temporal forecasting has numerous applications in analyzing wireless, traffic, and financial networks. Many classical statistical models often fall short in handling the complexity and high non-linearity present in time-series data.…

机器学习 · 统计学 2021-06-14 Soumyasundar Pal , Liheng Ma , Yingxue Zhang , Mark Coates

The recovery of time-varying graph signals is a fundamental problem with numerous applications in sensor networks and forecasting in time series. Effectively capturing the spatio-temporal information in these signals is essential for the…

信号处理 · 电气工程与系统科学 2023-08-15 Jhon A. Castro-Correa , Jhony H. Giraldo , Anindya Mondal , Mohsen Badiey , Thierry Bouwmans , Fragkiskos D. Malliaros

Remotely sensed data are sparse, which means that data have missing values, for instance due to cloud cover. This is problematic for applications and signal processing algorithms that require complete data sets. To address the sparse data…

Accurate forecasting of multivariate time series is an extensively studied subject in finance, transportation, and computer science. Fully mining the correlation and causation between the variables in a multivariate time series exhibits…

机器学习 · 计算机科学 2022-05-25 Weijun Chen , Yanze Wang , Chengshuo Du , Zhenglong Jia , Feng Liu , Ran Chen

The Earth's surface is subject to complex and dynamic processes, ranging from large-scale phenomena such as tectonic plate movements to localized changes associated with ecosystems, agriculture, or human activity. Satellite images enable…

计算机视觉与模式识别 · 计算机科学 2026-03-02 Corentin Dufourg , Charlotte Pelletier , Stéphane May , Sébastien Lefèvre

Multivariate time series (MTS) forecasting is widely used in various domains, such as meteorology and traffic. Due to limitations on data collection, transmission, and storage, real-world MTS data usually contains missing values, making it…

机器学习 · 计算机科学 2019-11-26 Xianfeng Tang , Huaxiu Yao , Yiwei Sun , Charu Aggarwal , Prasenjit Mitra , Suhang Wang

Forecast combinations have been widely applied in the last few decades to improve forecasting. Estimating optimal weights that can outperform simple averages is not always an easy task. In recent years, the idea of using time series…

统计方法学 · 统计学 2021-10-22 Yanfei Kang , Wei Cao , Fotios Petropoulos , Feng Li

We address the problem of prediction of multivariate data process using an underlying graph model. We develop a method that learns a sparse partial correlation graph in a tuning-free and computationally efficient manner. Specifically, the…

机器学习 · 统计学 2018-11-19 Arun Venkitaraman , Dave Zachariah

Dealing with missing values and incomplete time series is a labor-intensive, tedious, inevitable task when handling data coming from real-world applications. Effective spatio-temporal representations would allow imputation methods to…

机器学习 · 计算机科学 2022-02-11 Andrea Cini , Ivan Marisca , Cesare Alippi

The challenge of effectively learning inter-series correlations for multivariate time series forecasting remains a substantial and unresolved problem. Traditional deep learning models, which are largely dependent on the Transformer paradigm…

机器学习 · 计算机科学 2024-05-29 Wanlin Cai , Kun Wang , Hao Wu , Xiaoxu Chen , Yuankai Wu

Network (or graph) sparsification compresses a graph by removing inessential edges. By reducing the data volume, it accelerates or even facilitates many downstream analyses. Still, the accuracy of many sparsification methods, with…

社会与信息网络 · 计算机科学 2023-09-28 Zhen Su , Jürgen Kurths , Henning Meyerhenke

Time series data are collected in temporal order and are widely used to train systems for prediction, modeling and classification to name a few. These systems require large amounts of data to improve generalization and prevent over-fitting.…

信号处理 · 电气工程与系统科学 2024-06-26 T. K. M. Lee , H. W. Chan , K. H. Leo , E. Chew , Ling Zhao , S. Sanei

Interacting systems are prevalent in nature. It is challenging to accurately predict the dynamics of the system if its constituent components are analyzed independently. We develop a graph-based model that unveils the systemic interactions…

机器学习 · 计算机科学 2024-10-31 Giangiacomo Mercatali , Andre Freitas , Jie Chen

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

统计方法学 · 统计学 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan