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This paper considers the problem of learning, from samples, the dependency structure of a system of linear stochastic differential equations, when some of the variables are latent. In particular, we observe the time evolution of some…

机器学习 · 计算机科学 2012-05-02 Ali Jalali , Sujay Sanghavi

Predictive linear and nonlinear models based on kernel machines or deep neural networks have been used to discover dependencies among time series. This paper proposes an efficient nonlinear modeling approach for multiple time series, with a…

机器学习 · 计算机科学 2023-10-02 Kevin Roy , Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

We present a method that learns to integrate temporal information, from a learned dynamics model, with ambiguous visual information, from a learned vision model, in the context of interacting agents. Our method is based on a…

机器学习 · 计算机科学 2019-02-27 Chen Sun , Per Karlsson , Jiajun Wu , Joshua B Tenenbaum , Kevin Murphy

Graphs are an intuitive way to represent relationships between variables in fields such as finance and neuroscience. However, these graphs often need to be inferred from data. In this paper, we propose a novel framework to infer a latent…

统计方法学 · 统计学 2024-10-25 Jedidiah Harwood , Debashis Paul , Jie Peng

Vector autoregression has been widely used for modeling and analysis of multivariate time series data. In high-dimensional settings, model parameter regularization schemes inducing sparsity yield interpretable models and achieved good…

统计方法学 · 统计学 2023-06-08 Leo L. Duan , Zeyu Yuwen , George Michailidis , Zhengwu Zhang

Recent work has shown promising results in causal discovery by leveraging interventional data with gradient-based methods, even when the intervened variables are unknown. However, previous work assumes that the correspondence between…

机器学习 · 计算机科学 2022-07-12 Gonçalo R. A. Faria , André F. T. Martins , Mário A. T. Figueiredo

We introduce graphical time series models for the analysis of dynamic relationships among variables in multivariate time series. The modelling approach is based on the notion of strong Granger causality and can be applied to time series…

统计理论 · 数学 2011-07-18 Michael Eichler

We introduce a rigorous mathematical framework for Granger causality in extremes, designed to identify causal links from extreme events in time series. Granger causality plays a pivotal role in uncovering directional relationships among…

机器学习 · 统计学 2024-10-21 Juraj Bodik , Olivier C. Pasche

The vector autoregressive (VAR) model has been widely used for modeling temporal dependence in a multivariate time series. For large (and even moderate) dimensions, the number of AR coefficients can be prohibitively large, resulting in…

应用统计 · 统计学 2013-10-21 Richard A. Davis , Pengfei Zang , Tian Zheng

Discovering temporal lagged and inter-dependencies in multivariate time series data is an important task. However, in many real-world applications, such as commercial cloud management, manufacturing predictive maintenance, and portfolios…

机器学习 · 计算机科学 2018-12-12 Xuan-Hong Dang , Syed Yousaf Shah , Petros Zerfos

This work on gap acceptance is based on the premise that the decision to accept/reject a gap happens in a person's mind and therefore must be based on the perceived gap and not the measured gap. The critical gap must also exist in a…

统计方法学 · 统计学 2025-12-25 Ankita Sharma , Partha Chakroborty , Pranamesh Chakraborty

Interest in the study and analysis of dynamic processes in the social, behavioral, and health sciences has burgeoned in recent years due to the increased availability of intensive longitudinal data. However, how best to model and account…

Autoencoders exhibit impressive abilities to embed the data manifold into a low-dimensional latent space, making them a staple of representation learning methods. However, without explicit supervision, which is often unavailable, the…

机器学习 · 计算机科学 2023-01-12 Felix Leeb , Stefan Bauer , Michel Besserve , Bernhard Schölkopf

The potential of Model Predictive Control in buildings has been shown many times, being successfully used to achieve various goals, such as minimizing energy consumption or maximizing thermal comfort. However, mass deployment has thus far…

应用统计 · 统计学 2023-02-09 Manuel Koch , Colin N. Jones

How do humans and animals perform trial-and-error learning when the space of possibilities is infinite? In a previous study, we used an interval timing production task and discovered an updating strategy in which the agent adjusted the…

神经元与认知 · 定量生物学 2022-05-10 Jing Wang , Yousuf El-Jayyousi , Ilker Ozden

Inferring causal relations in timeseries data with delayed effects is a fundamental challenge, especially when the underlying system exhibits complex dynamics that cannot be captured by simple functional mappings. Traditional approaches…

机器学习 · 计算机科学 2026-02-23 Preetom Biswas , Giulia Pedrielli , K. Selçuk Candan

Recent economic events, including the global financial crisis and COVID-19 pandemic, have exposed limitations in linear Factor Augmented Vector Autoregressive (FAVAR) models for forecasting and structural analysis. Nonlinear dimension…

机器学习 · 统计学 2025-03-07 Yiyong Luo , Brooks Paige , Jim Griffin

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

VAR models are a type of multi-equation model that have been widely applied in econometrics. With the arrival of Big Data, huge amounts of data are being collected in numerous fields, making feasible the application of these kind of…

其他计算机科学 · 计算机科学 2017-12-01 Alfonso L. Castaño , Javier Cuenca , Domingo Giménez , Jose J. López-Espín , Alberto Pérez-Bernabeu

High-dimensional time series data appear in many scientific areas in the current data-rich environment. Analysis of such data poses new challenges to data analysts because of not only the complicated dynamic dependence between the series,…

统计方法学 · 统计学 2022-06-22 Di Wang , Ruey S. Tsay