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Under a high-dimensional vector autoregressive (VAR) model, we propose a way of efficiently estimating both the stationary graph structure between the nodal time series and their temporal dynamics. The framework is then used to make…

Methodology · Statistics 2025-04-01 Arkaprava Roy , Anindya Roy , Subhashis Ghosal

Multi-task and multi-domain learning methods seek to learn multiple tasks/domains, jointly or one after another, using a single unified network. The primary challenge and opportunity lie in leveraging shared information across these tasks…

Machine Learning · Computer Science 2026-02-03 Yash Garg , Nebiyou Yismaw , Rakib Hyder , Ashley Prater-Bennette , M. Salman Asif

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…

Methodology · Statistics 2024-07-19 Yuefeng Han , Rong Chen , Dan Yang , Cun-Hui Zhang

Traffic flow forecasting is challenging due to the intricate spatio-temporal correlations in traffic flow data. Existing Transformer-based methods usually treat traffic flow forecasting as multivariate time series (MTS) forecasting.…

Machine Learning · Computer Science 2023-03-15 Junhao Zhang , Junjie Tang , Juncheng Jin , Zehui Qu

Network embedding has recently emerged as a promising technique to embed nodes of a network into low-dimensional vectors. While fairly successful, most existing works focus on the embedding techniques for static networks. But in practice,…

Social and Information Networks · Computer Science 2020-10-28 Zenan Xu , Zijing Ou , Qinliang Su , Jianxing Yu , Xiaojun Quan , Zhenkun Lin

By investigating iterative methods for a constrained linear model, we propose a new class of fully connected V-cycle MgNet for long-term time series forecasting, which is one of the most difficult tasks in forecasting. MgNet is a CNN model…

Artificial Intelligence · Computer Science 2023-02-03 Jianqing Zhu , Juncai He , Lian Zhang , Jinchao Xu

We study the problem of automatically discovering Granger causal relations from observational multivariate time-series data.Vector autoregressive (VAR) models have been time-tested for this problem, including Bayesian variants and more…

Machine Learning · Computer Science 2024-05-27 He Zhao , Vassili Kitsios , Terence J. O'Kane , Edwin V. Bonilla

Visual Autoregressive (VAR) models enable efficient image generation via next-scale prediction but face escalating computational costs as sequence length grows. Existing static pruning methods degrade performance by permanently removing…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Kaixin Zhang , Ruiqing Yang , Yuan Zhang , Shan You , Tao Huang

The high tracking overhead, the amount of up-front effort required to selecting the trace points, and the lack of effective data analysis model are the significant barriers to the adoption of intra-component tracking for fault diagnosis…

Software Engineering · Computer Science 2022-10-17 Wei Zhang , Yuxi Hu , Bolong Tan , Xiaohai Shi , Jianhui Jiang

We present a new rank-adaptive tensor method to compute the numerical solution of high-dimensional nonlinear PDEs. The method combines functional tensor train (FTT) series expansions, operator splitting time integration, and a new…

Numerical Analysis · Mathematics 2021-04-27 Alec Dektor , Abram Rodgers , Daniele Venturi

This paper deals with the factor modeling for high-dimensional time series based on a dimension-reduction viewpoint. Under stationary settings, the inference is simple in the sense that both the number of factors and the factor loadings are…

Statistics Theory · Mathematics 2012-06-05 Clifford Lam , Qiwei Yao

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…

Machine Learning · Computer Science 2022-06-20 Yufei Cui , Yu Mao , Ziquan Liu , Qiao Li , Antoni B. Chan , Xue Liu , Tei-Wei Kuo , Chun Jason Xue

Foundation models are transforming machine learning across many modalities, with in-context learning replacing classical model training. Recent work on tabular data hints at a similar opportunity to build foundation models for…

Machine Learning · Computer Science 2025-05-12 Andreas Müller , Carlo Curino , Raghu Ramakrishnan

Network function virtualization (NFV) enhances service flexibility by decoupling network functions from dedicated hardware. To handle time-varying traffic in NFV network, virtualized network function (VNF) migration has been involved to…

Networking and Internet Architecture · Computer Science 2024-10-15 Fangyu Zhang , Yuang Chen , Hancheng Lu , Chengdi Lu

This paper studies causal inference with observational data from a single large network. We consider a nonparametric model with interference in both potential outcomes and selection into treatment. Specifically, both stages may be the…

Econometrics · Economics 2025-12-30 Michael P. Leung , Pantelis Loupos

Anomaly detection is important for industrial automation and part quality assurance, and while humans can easily detect anomalies in components given a few examples, designing a generic automated system that can perform at human or above…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Anthony Garland , Kevin Potter , Matt Smith

Physics-informed neural networks (PINNs) have shown remarkable prospects in solving forward and inverse problems involving partial differential equations (PDEs). However, PINNs still face the challenge of high computational cost in solving…

Fluid Dynamics · Physics 2025-01-22 Jiahao Song , Wenbo Cao , Weiwei Zhang

In this paper we focus on the tracking performance of incremental adaptive LMS algorithm in an adaptive network. For this reason we consider the unknown weight vector to be a time varying sequence. First we analyze the performance of…

Signal Processing · Electrical Eng. & Systems 2021-03-23 Ehsan Mostafapour , C. Ghobadi , Javad Nourinia , M. Chehel Amirani

In this study, we propose a projection estimation method for large-dimensional matrix factor models with cross-sectionally spiked eigenvalues. By projecting the observation matrix onto the row or column factor space, we simplify factor…

Methodology · Statistics 2020-12-04 Long Yu , Yong He , Xin-bing Kong , Xinsheng Zhang

Dynamic network models (DNMs) are belief networks for temporal reasoning. The DNM methodology combines techniques from time series analysis and probabilistic reasoning to provide (1) a knowledge representation that integrates…

Artificial Intelligence · Computer Science 2013-03-08 Paul Dagum , Adam Galper