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We discuss Bayesian analysis of multivariate time series with dynamic factor models that exploit time-adaptive sparsity in model parametrizations via the latent threshold approach. One central focus is on the transfer responses of multiple…

应用统计 · 统计学 2022-06-07 Jouchi Nakajima , Mike West

Tensor decompositions play a crucial role in numerous applications related to multi-way data analysis. By employing a Bayesian framework with sparsity-inducing priors, Bayesian Tensor Ring (BTR) factorization offers probabilistic estimates…

机器学习 · 计算机科学 2024-12-05 Zerui Tao , Toshihisa Tanaka , Qibin Zhao

We propose a novel tensor-on-tensor modeling framework that flexibly models nonlinear voxel-level relationships using Gaussian process (GP) priors, while incorporating the spatial structure of the output tensor through low-rank tensor-based…

统计方法学 · 统计学 2026-04-10 Yajie Liu , Hengrui Luo , Suprateek Kundu

In recent years, image recognition method has been a research hotspot in various fields such as video surveillance, biometric identification, unmanned vehicles, human-computer interaction, and medical image recognition. Existing recognition…

统计方法学 · 统计学 2025-05-12 Yunzhi Jin , Yanqing Zhang , Niansheng Tang

High-dimensional vector autoregressive (VAR) models have numerous applications in fields such as econometrics, biology, climatology, among others. While prior research has mainly focused on linear VAR models, these approaches can be…

统计理论 · 数学 2025-11-25 Yuefeng Han , Likai Chen , Wei Biao Wu

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…

统计方法学 · 统计学 2025-04-01 Arkaprava Roy , Anindya Roy , Subhashis Ghosal

Time-varying networks are fast emerging in a wide range of scientific and business disciplines. Most existing dynamic network models are limited to a single-subject and discrete-time setting. In this article, we propose a mixed-effect…

统计方法学 · 统计学 2018-06-12 Jingfei Zhang , Will Wei Sun , Lexin Li

Dynamic networks are commonly used in applications where relational data is observed over time. Statistical models for such data should capture not only the temporal dependencies between networks observed in time, but also the structural…

统计方法学 · 统计学 2017-04-10 Jihui Lee , Gen Li , James D. Wilson

Brain activation and connectivity analyses in task-based functional magnetic resonance imaging (fMRI) experiments with multiple subjects are currently at the forefront of data-driven neuroscience. In such experiments, interest often lies in…

应用统计 · 统计学 2019-04-02 Daniel Spencer , Rajarshi Guhaniyogi , Raquel Prado

The ability to record activities from hundreds of neurons simultaneously in the brain has placed an increasing demand for developing appropriate statistical techniques to analyze such data. Recently, deep generative models have been…

机器学习 · 统计学 2020-11-11 Ding Zhou , Xue-Xin Wei

Extracting time-varying latent variables from computational cognitive models is a key step in model-based neural analysis, which aims to understand the neural correlates of cognitive processes. However, existing methods only allow…

机器学习 · 计算机科学 2025-09-01 Ti-Fen Pan , Jing-Jing Li , Bill Thompson , Anne Collins

Seeking high-quality representations with latent variable models (LVMs) to reveal the intrinsic correlation between neural activity and behavior or sensory stimuli has attracted much interest. In the study of the biological visual system,…

神经与进化计算 · 计算机科学 2025-10-27 Liwei Huang , ZhengYu Ma , Liutao Yu , Huihui Zhou , Yonghong Tian

Causality graphs are routinely estimated in social sciences, natural sciences, and engineering due to their capacity to efficiently represent the spatiotemporal structure of multivariate data sets in a format amenable for human…

信号处理 · 电气工程与系统科学 2020-11-16 Bakht Zaman , Luis Miguel Lopez Ramos , Daniel Romero , Baltasar Beferull-Lozano

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…

统计计算 · 统计学 2021-12-23 Gary Koop , Dimitris Korobilis

The reduced-rank vector autoregressive (VAR) model can be interpreted as a supervised factor model, where two factor modelings are simultaneously applied to response and predictor spaces. This article introduces a new model, called vector…

统计方法学 · 统计学 2023-06-16 Di Wang , Xiaoyu Zhang , Guodong Li , Ruey Tsay

In multivariate time series analysis, understanding the underlying causal relationships among variables is often of interest for various applications. Directed acyclic graphs (DAGs) provide a powerful framework for representing causal…

统计方法学 · 统计学 2025-07-30 Arkaprava Roy , Anindya Roy , Subhashis Ghosal

In this paper, we use augmented the hierarchical latent variable model to model multi-period time series, where the dynamics of time series are governed by factors or trends in multiple periods. Previous methods based on stacked recurrent…

神经与进化计算 · 计算机科学 2018-10-25 Daniel Hsu

High-dimensional vector autoregressive (VAR) models provide a flexible framework for characterizing dynamic dependence in multivariate spatio-temporal systems, but their unrestricted estimation becomes infeasible when multiple variables are…

统计方法学 · 统计学 2026-05-04 Peiliang Bai

The availability of multidimensional economic datasets has grown significantly in recent years. An example is bilateral trade values across goods among countries, comprising three dimensions -- importing countries, exporting countries, and…

计量经济学 · 经济学 2025-11-24 Yaling Qi

Causal inference in multivariate time series is challenging due to the fact that the sampling rate may not be as fast as the timescale of the causal interactions. In this context, we can view our observed series as a subsampled version of…

统计方法学 · 统计学 2017-04-11 Alex Tank , Emily B. Fox , Ali Shojaie