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In this paper, we propose two novel multi-agent systems for the resource allocation problems (RAPs) and consensus-based distributed optimization problems. Different from existing distributed optimal approaches, we propose the new time-base…

最优化与控制 · 数学 2024-09-06 Qinlong Lin , Yang Liu , Jianquan Lu , Weihua Gui

The vector autoregressive (VAR) model is a powerful tool in modeling complex time series and has been exploited in many fields. However, fitting high dimensional VAR model poses some unique challenges: On one hand, the dimensionality,…

机器学习 · 统计学 2014-10-30 Fang Han , Huanran Lu , Han Liu

In this contribution we introduce weakly locally stationary time series through the local approximation of the non-stationary covariance structure by a stationary one. This allows us to define autoregression coefficients in a non-stationary…

统计理论 · 数学 2018-01-16 François Roueff , Andres Sanchez-Perez

When building linear or nonlinear models one is faced with the problem of selecting the best set of variable with which to predict the future dynamics. In nonlinear time series analysis the problem is to select the correct time delays in…

混沌动力学 · 物理学 2007-05-23 Michael Small

We develop a Quantile Bayesian Vector Autoregression (QBVAR) to forecast real oil prices across different quantiles of the conditional distribution. The model allows predictor effects to vary across quantiles, capturing asymmetries that…

计量经济学 · 经济学 2026-04-15 Hilde C. Bjornland , Nicolas Hardy , Dimitris Korobilis

Real-world deployment of machine learning models is challenging because data evolves over time. While no model can work when data evolves in an arbitrary fashion, if there is some pattern to these changes, we might be able to design methods…

机器学习 · 计算机科学 2024-05-03 Rasool Fakoor , Jonas Mueller , Zachary C. Lipton , Pratik Chaudhari , Alexander J. Smola

We consider the scenario where the parameters of a probabilistic model are expected to vary over time. We construct a novel prior distribution that promotes sparsity and adapts the strength of correlation between parameters at successive…

机器学习 · 统计学 2015-11-10 Dani Yogatama , Bryan R. Routledge , Noah A. Smith

This paper presents an open data approach to model and solve the vehicle routing problem with time-dependent travel times (TDVRP). The proposed model is based on a multi-layer matrix composed of travel times, replacing the traditional…

最优化与控制 · 数学 2018-04-23 Augustin Lombard , Simon Tamayo , Frédéric Fontane

A novel spatiotemporal framework using diverse econometric approaches is proposed in this research to analyze relationships among eight economy-wide variables in varying market conditions. Employing Vector Autoregression (VAR) and Granger…

计量经济学 · 经济学 2025-03-25 Lutfu S. Sua , Haibo Wang , Jun Huang

This paper presents a robust controller using a Linear Parameter Varying (LPV) model of the lane-keeping system with parameter reduction. Both varying vehicle speed and roll motion on a curved road influence the lateral vehicle model…

系统与控制 · 电气工程与系统科学 2021-05-05 Ying Shuai Quan , Jin Sung Kim , Chung Choo Chung

Estimating and quantifying uncertainty in unknown system parameters from limited data remains a challenging inverse problem in a variety of real-world applications. While many approaches focus on estimating constant parameters, a subset of…

统计方法学 · 统计学 2023-05-09 Andrea Arnold

This paper presents a novel method for introducing time into discrete and continuous spatial representations used in mobile robotics, by modelling long-term, pseudo-periodic variations caused by human activities. Unlike previous approaches,…

机器人学 · 计算机科学 2026-03-16 Tomas Krajnik , Tomas Vintr , Sergi Molina , Jaime P. Fentanes , Grzegorz Cielniak , Tom Duckett

Quantitative assessment of the growth of biological organisms has produced many mathematical equations. Many efforts have been given on statistical identification of the correct growth model from experimental data. Every growth equation is…

统计方法学 · 统计学 2021-02-17 Md Aktar Ul Karim , Supriya Ramdas Bhagat , Amiya Ranjan Bhowmick

We investigate the approach of time-dependent variational principle (TDVP) for the one-dimensional spin-$J$ PXP model with detuning, which is relevant for programmable Rydberg atom arrays. The variational manifold is chosen as the minimally…

量子物理 · 物理学 2025-01-17 Zhigang Hu , Biao Wu

While the Vector Autoregression (VAR) model has received extensive attention for modelling complex time series, quantile VAR analysis remains relatively underexplored for high-dimensional time series data. To address this disparity, we…

统计方法学 · 统计学 2024-04-30 Wenyang Liu , Ganggang Xu , Jianqing Fan , Xuening Zhu

Multivariate time series (MTS) forecasting is an essential problem in many fields. Accurate forecasting results can effectively help decision-making. To date, many MTS forecasting methods have been proposed and widely applied. However,…

机器学习 · 计算机科学 2021-12-16 Ziheng Duan , Haoyan Xu , Yida Huang , Jie Feng , Yueyang Wang

In this paper, we propose Total Variation Regularized Tensor-on-scalar Regression(TVTR), a novel method for estimating the association between a tensor outcome (a one dimensional or multidimensional array) and scalar predictors. While the…

统计方法学 · 统计学 2018-12-11 Ying Liu , Bowei Yan , Kathleen Merikangas , Haochang Shou

A Vector Auto-Regressive (VAR) model is commonly used to model multivariate time series, and there are many penalized methods to handle high dimensionality. However in terms of spatio-temporal data, most methods do not take the spatial and…

统计方法学 · 统计学 2020-12-21 Zhenzhong Wang , Abolfazl Safikhani , Zhengyuan Zhu , David S. Matteson

This work proposes a solution for the longitudinal and lateral control problem of urban autonomous vehicles using a gain scheduling LPV control approach. Using the kinematic and dynamic vehicle models, a linear parameter varying (LPV)…

系统与控制 · 计算机科学 2017-12-04 Eugenio Alcalá , Vicenç Puig , Joseba Quevedo , Teresa Escobet

We propose an adaptive control strategy for the simultaneous estimation of topology and synchronization in complex dynamical networks with unknown, time-varying topology. Our approach transforms the problem of time-varying topology…

多智能体系统 · 计算机科学 2024-09-16 Nana Wang , Esteban Restrepo , Dimos V. Dimarogonas