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Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 计算机科学 2014-08-12 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 统计学 2013-05-27 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Dynamic behavior of traffic adversely affect the performance of the prediction models in intelligent transportation applications. This study applies Gaussian processes (GPs) to traffic speed prediction. Such predictions can be used by…

应用统计 · 统计学 2020-11-25 Gurcan Comert

Traffic speed is a key indicator for the efficiency of an urban transportation system. Accurate modeling of the spatiotemporally varying traffic speed thus plays a crucial role in urban planning and development. This paper addresses the…

人工智能 · 计算机科学 2017-08-29 Truc Viet Le , Richard J. Oentaryo , Siyuan Liu , Hoong Chuin Lau

Gaussian process (GP) models are widely used to analyze spatially referenced data and to predict values at locations without observations. In contrast to many algorithmic procedures, GP models are based on a statistical framework, which…

统计计算 · 统计学 2020-01-01 Florian Gerber , Douglas W. Nychka

Uncertainty in estimating the log-law parameters is arguably the greatest obstacle to establishing definitive conclusions regarding their numerical values and universality. This challenge is exacerbated by the limited number of studies that…

流体动力学 · 物理学 2026-04-15 M. Aguiar Ferreira , B. Ganapathisubramani

As a Bayesian approach to fitting motorway traffic flow models remains rare in the literature, we explore empirically the sampling challenges this approach offers which have to do with the strong correlations and multi-modality of the…

统计计算 · 统计学 2021-08-11 Jeremie Coullon , Yvo Pokern

Graphical models describe associations between variables through the notion of conditional independence. Gaussian graphical models are a widely used class of such models where the relationships are formalized by non-null entries of the…

统计方法学 · 统计学 2023-08-08 Sagnik Bhadury , Riten Mitra , Jeremy T. Gaskins

Traffic flow forecasting, especially the short-term case, is an important topic in intelligent transportation systems (ITS). This paper does a lot of research on network-scale modeling and forecasting of short-term traffic flows. Firstly,…

机器学习 · 计算机科学 2018-01-03 Shiliang Sun , Rongqing Huang , Ya Gao

Logistic Gaussian process (LGP) priors provide a flexible alternative for modelling unknown densities. The smoothness properties of the density estimates can be controlled through the prior covariance structure of the LGP, but the challenge…

统计计算 · 统计学 2016-11-01 Jaakko Riihimäki , Aki Vehtari

Graphical Lasso (GL) is a popular method for learning the structure of an undirected graphical model, which is based on an $l_1$ regularization technique. The objective of this paper is to compare the computationally-heavy GL technique with…

机器学习 · 统计学 2019-07-02 Salar Fattahi , Somayeh Sojoudi

In the setting of a recently developed cellular stochastic traffic flow model, it has shown that the joint per-cell vehicle densities, as a function of time, can be accurately approximated by a Gaussian process, which has the attractive…

最优化与控制 · 数学 2020-07-16 Michel Mandjes , Jaap Storm

The performance of Gaussian Process (GP) regression is often hampered by the curse of dimensionality, which inflates computational cost and reduces predictive power in high-dimensional problems. Variable selection is thus crucial for…

统计方法学 · 统计学 2025-11-24 Minshen Xu , Shiwei Lan , Lulu Kang

Gaussian Process (GP) regression models typically assume that residuals are Gaussian and have the same variance for all observations. However, applications with input-dependent noise (heteroscedastic residuals) frequently arise in practice,…

机器学习 · 统计学 2012-12-27 Chunyi Wang , Radford M. Neal

The Gaussian process (GP) is a popular way to specify dependencies between random variables in a probabilistic model. In the Bayesian framework the covariance structure can be specified using unknown hyperparameters. Integrating over these…

统计计算 · 统计学 2010-11-01 Iain Murray , Ryan Prescott Adams

Modeling stochastic traffic behaviors at the microscopic level, such as car-following and lane-changing, is a crucial task to understand the interactions between individual vehicles in traffic streams. Leveraging a recently developed theory…

机器学习 · 统计学 2020-07-21 Yun Yuan , Qinzheng Wang , Xianfeng Terry Yang

Machine learning (ML) techniques have recently gained significant attention for solving compliance minimization (CM) problems. However, these methods typically provide poor feature boundaries, are very expensive, and lack a systematic…

机器学习 · 计算机科学 2025-11-06 Xiangyu Sun , Amin Yousefpour , Shirin Hosseinmardi , Ramin Bostanabad

Graph condensation reduces the size of large graphs while preserving performance, addressing the scalability challenges of Graph Neural Networks caused by computational inefficiencies on large datasets. Existing methods often rely on…

机器学习 · 计算机科学 2025-10-10 Lin Wang , Qing Li

A non-Bayesian, regression-based or generalized least squares (GLS)-based approach is formally proposed to estimate a class of time-varying AR parameter models. This approach has partly been used by Ito et al. (2014, 2016a,b), and is proven…

统计方法学 · 统计学 2017-12-22 Mikio Ito , Akihiko Noda , Tatsuma Wada

In this paper we introduce a novel model for Gaussian process (GP) regression in the fully Bayesian setting. Motivated by the ideas of sparsification, localization and Bayesian additive modeling, our model is built around a recursive…

统计理论 · 数学 2022-06-06 Hengrui Luo , Giovanni Nattino , Matthew T. Pratola
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