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Hierarchical Bayesian models are increasingly used in large, inhomogeneous complex network dynamical systems by modeling parameters as draws from a hyperparameter-governed distribution. However, theoretical guarantees for these estimates as…

统计理论 · 数学 2026-01-23 Yi Yu , Yubo Hou , Yinchong Wang , Nan Zhang , Jianfeng Feng , Wenlian Lu

We propose a Bayesian nonparametric mixture model for prediction- and information extraction tasks with an efficient inference scheme. It models categorical-valued time series that exhibit dynamics from multiple underlying patterns (e.g.…

机器学习 · 统计学 2017-06-21 Jan Reubold , Thorsten Strufe , Ulf Brefeld

A fundamental challenge in car-following modeling lies in accurately representing the multi-scale complexity of driving behaviors, particularly the intra-driver heterogeneity where a single driver's actions fluctuate dynamically under…

机器学习 · 计算机科学 2025-06-09 Shirui Zhou , Jiying Yan , Junfang Tian , Tao Wang , Yongfu Li , Shiquan Zhong

Scalability is one of the major issues for real-world Vehicle-to-Vehicle network realization. To tackle this challenge, a stochastic hybrid modeling framework based on a non-parametric Bayesian inference method, i.e., hierarchical Dirichlet…

信号处理 · 电气工程与系统科学 2018-07-12 Hossein Nourkhiz Mahjoub , Behrad Toghi , Yaser P. Fallah

Space-time visualizations of macroscopic or microscopic traffic variables is a qualitative tool used by traffic engineers to understand and analyze different aspects of road traffic dynamics. We present a deep learning method to learn the…

机器学习 · 计算机科学 2022-04-12 Bilal Thonnam Thodi , Zaid Saeed Khan , Saif Eddin Jabari , Monica Menendez

We propose a method for learning dynamical systems from high-dimensional empirical data that combines variational autoencoders and (spatio-)temporal attention within a framework designed to enforce certain scientifically-motivated…

机器学习 · 计算机科学 2023-06-22 Kai Lagemann , Christian Lagemann , Sach Mukherjee

Car-following behavior modeling is critical for understanding traffic flow dynamics and developing high-fidelity microscopic simulation models. Most existing impulse-response car-following models prioritize computational efficiency and…

应用统计 · 统计学 2025-04-09 Chengyuan Zhang , Wenshuo Wang , Lijun Sun

Multivariate spatial fields are of interest in many applications, including climate model emulation. Not only can the marginal spatial fields be subject to nonstationarity, but the dependence structure among the marginal fields and between…

统计方法学 · 统计学 2023-11-21 Paul F. V. Wiemann , Matthias Katzfuss

In this paper, we propose a Bayesian approach for multiscale problems with the availability of dynamic observational data. Our method selects important degrees of freedom probabilistically in a Generalized multiscale finite element method…

数值分析 · 数学 2018-06-18 Siu Wun Cheung , Nilabja Guha

Detection heterogeneity is inherent to ecological data, arising from factors such as varied terrain or weather conditions, inconsistent sampling effort, or heterogeneity of individuals themselves. Incorporating additional covariates into a…

应用统计 · 统计学 2021-08-27 Daniel Turek , Claudia Wehrhahn , Olivier Gimenez

This paper introduces a general Bayesian non- parametric latent feature model suitable to per- form automatic exploratory analysis of heterogeneous datasets, where the attributes describing each object can be either discrete, continuous or…

机器学习 · 统计学 2017-07-27 Isabel Valera , Melanie F. Pradier , Zoubin Ghahramani

Existing methods for anomaly detection often fall short due to their inability to handle the complexity, heterogeneity, and high dimensionality inherent in real-world mobility data. In this paper, we propose DeepBayesic, a novel framework…

机器学习 · 计算机科学 2024-10-07 Minxuan Duan , Yinlong Qian , Lingyi Zhao , Zihao Zhou , Zeeshan Rasheed , Rose Yu , Khurram Shafique

Graphical models have been popularly used for capturing conditional independence structure in multivariate data, which are often built upon independent and identically distributed observations, limiting their applicability to complex…

统计方法学 · 统计学 2025-07-03 Yuwen Wang , Changyu Liu , Xin He , Junhui Wang

Bayesian methods for learning Gaussian graphical models offer a principled framework for quantifying model uncertainty and incorporating prior knowledge. However, their scalability is constrained by the computational cost of jointly…

统计方法学 · 统计学 2025-08-28 Reza Mohammadi , Marit Schoonhoven , Lucas Vogels , S. Ilker Birbil

Accurately modeling robot dynamics is crucial to safe and efficient motion control. In this paper, we develop and apply an iterative learning semi-parametric model, with a neural network, to the task of autonomous racing with a Model…

机器人学 · 计算机科学 2020-11-18 Ignat Georgiev , Christoforos Chatzikomis , Timo Völkl , Joshua Smith , Michael Mistry

We propose a new method for spatio-temporal forecasting on arbitrarily distributed points. Assuming that the observed system follows an unknown partial differential equation, we derive a continuous-time model for the dynamics of the data…

机器学习 · 计算机科学 2022-03-18 Marten Lienen , Stephan Günnemann

In this paper, we develop a neural network-based approach for time-series prediction in unknown Hamiltonian dynamical systems. Our approach leverages a surrogate model and learns the system dynamics using generalized coordinates (positions)…

机器学习 · 计算机科学 2025-02-03 Taehyeun Kim , Tae-Geun Kim , Anouck Girard , Ilya Kolmanovsky

In this article a flexible Bayesian non-parametric model is proposed for non-homogeneous hidden Markov models. The model is developed through the amalgamation of the ideas of hidden Markov models and predictor dependent stick-breaking…

统计方法学 · 统计学 2012-05-10 Abhra Sarkar , Anindya Bhadra , Bani K. Mallick

Semantic learning and understanding of multi-vehicle interaction patterns in a cluttered driving environment are essential but challenging for autonomous vehicles to make proper decisions. This paper presents a general framework to gain…

机器人学 · 计算机科学 2022-05-31 Chengyuan Zhang , Jiacheng Zhu , Wenshuo Wang , Ding Zhao

This work presents a non-parametric spatio-temporal model for mapping human activity by mobile autonomous robots in a long-term context. Based on Variational Gaussian Process Regression, the model incorporates prior information of spatial…

机器人学 · 计算机科学 2022-07-12 Marvin Stuede , Moritz Schappler