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This paper introduces sparse dynamic chain graph models for network inference in high dimensional non-Gaussian time series data. The proposed method parametrized by a precision matrix that encodes the intra time-slice conditional…

Methodology · Statistics 2018-05-28 Pariya Behrouzi , Fentaw Abegaz , Ernst C. Wit

We propose in this work a new family of kernels for variable-length time series. Our work builds upon the vector autoregressive (VAR) model for multivariate stochastic processes: given a multivariate time series x, we consider the…

Machine Learning · Statistics 2011-01-05 Marco Cuturi , Arnaud Doucet

Scaling visual generation models is essential for real-world content creation, yet requires substantial training and computational expenses. Alternatively, test-time scaling has garnered growing attention due to resource efficiency and…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Zhekai Chen , Ruihang Chu , Yukang Chen , Shiwei Zhang , Yujie Wei , Yingya Zhang , Xihui Liu

We study one particular type of multivariate spatial autoregression (MSAR) model with diverging dimensions in both responses and covariates. This makes the usual MSAR models no longer applicable due to the high computational cost. To…

Methodology · Statistics 2025-09-03 Jiaxin Shi , Xuening Zhu , Jing Zhou , Baichen Yu , Hansheng Wang

Integrating multiple observational studies for meta-analysis has sparked much interest. The presented R package WMAP (Weighted Meta-Analysis with Pseudo-Population) addresses a critical gap in the implementation of integrative weighting…

Methodology · Statistics 2025-07-01 Subharup Guha , Mengqi Xu , Kashish Priyam , Yi Li

Accurately modeling the correlation structure of errors is critical for reliable uncertainty quantification in probabilistic time series forecasting. While recent deep learning models for multivariate time series have developed efficient…

Machine Learning · Statistics 2024-11-11 Vincent Zhihao Zheng , Lijun Sun

The popular systemic risk measure CoVaR (conditional Value-at-Risk) and its variants are widely used in economics and finance. In this article, we propose joint dynamic forecasting models for the Value-at-Risk (VaR) and CoVaR. The CoVaR…

Econometrics · Economics 2025-01-22 Timo Dimitriadis , Yannick Hoga

Generalized autoregressive score (GAS) models are a class of observation-driven time series models that employ the score to dynamically update time-varying parameters of the underlying probability distribution. GAS models have been…

Computation · Statistics 2024-05-09 Vladimír Holý

Visual analytics is essential for studying large time series due to its ability to reveal trends, anomalies, and insights. DeepVATS is a tool that merges Deep Learning (Deep) with Visual Analytics (VA) for the analysis of large time series…

Machine Learning · Computer Science 2025-04-02 Inmaculada Santamaria-Valenzuela , Victor Rodriguez-Fernandez , David Camacho

Modeling high-dimensional time series with simple structures is a challenging problem. This paper proposes a network double autoregression (NDAR) model, which combines the advantages of network structure and the double autoregression (DAR)…

Methodology · Statistics 2024-12-30 Tingting Li , Hao Wang

We develop a Bayesian framework for variable selection in linear regression with autocorrelated errors, accommodating lagged covariates and autoregressive structures. This setting occurs in time series applications where responses depend on…

Methodology · Statistics 2025-08-18 Alokesh Manna , Sujit K. Ghosh

This paper proposes a variational Bayes algorithm for computationally efficient posterior and predictive inference in time-varying parameter (TVP) models. Within this context we specify a new dynamic variable/model selection strategy for…

Computation · Statistics 2021-12-23 Gary Koop , Dimitris Korobilis

We reconcile the two worlds of dense and sparse modeling by exploiting the positive aspects of both. We employ a factor model and assume {the dynamic of the factors is non-pervasive while} the idiosyncratic term follows a sparse vector…

Methodology · Statistics 2022-05-25 Jonas Krampe , Luca Margaritella

High-dimensional time series analysis has become increasingly important in fields such as finance, economics, and biology. The two primary tasks for high-dimensional time series analysis are modeling and statistical inference, which aim to…

Computation · Statistics 2024-12-24 Jinyuan Chang , Jing He , Chen Lin , Qiwei Yao

Visual AutoRegressive (VAR) models based on next-scale prediction enable efficient hierarchical generation, yet the inference cost grows quadratically at high resolutions. We observe that the computationally intensive later scales…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Keli Liu , Zhendong Wang , Wengang Zhou , Houqiang Li

Large-scale time series visualization often suffers from excessive visual clutter and redundant patterns, making it difficult for users to understand the main temporal trends. To address this challenge, we present VARTS, an interactive…

Graphics · Computer Science 2026-01-06 Duosi Jin , Jianqiu Xu , Guidong Zhang

In the study of complex physical and physiological systems represented by multivariate time series, an issue of great interest is the description of the system dynamics over a range of different temporal scales. While information-theoretic…

Information Theory · Computer Science 2016-02-25 Luca Faes , Alessandro Montalto , Sebastiano Stramaglia , Giandomenico Nollo , Daniele Marinazzo

Using a proper model to characterize a time series is crucial in making accurate predictions. In this work we use time-varying autoregressive process (TVAR) to describe non-stationary time series and model it as a mixture of multiple stable…

Machine Learning · Statistics 2016-11-17 Jie Ding , Mohammad Noshad , Vahid Tarokh

We consider the problem of modeling the dependence among many time series. We build high dimensional time-varying copula models by combining pair-copula constructions (PCC) with stochastic autoregressive copula (SCAR) models to capture…

Methodology · Statistics 2012-02-10 Carlos Almeida , Claudia Czado , Hans Manner

We consider statistical inference for impulse responses in sparse, structural high-dimensional vector autoregressive (SVAR) systems. We introduce consistent estimators of impulse responses in the high-dimensional setting and suggest valid…

Methodology · Statistics 2021-06-03 Jonas Krampe , Efstathios Paparoditis , Carsten Trenkler