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We introduce a Bayesian approach to predictive density calibration and combination that accounts for parameter uncertainty and model set incompleteness through the use of random calibration functionals and random combination weights.…

Applications · Statistics 2016-10-26 Federico Bassetti , Roberto Casarin , Francesco Ravazzolo

A simple algorithm for constructing an effective traffic model is presented. The algorithm uses statistically well-defined quantities extracted from the flow-density plot, and the resulting effective model naturally captures and predicts…

Adaptation and Self-Organizing Systems · Physics 2014-12-16 Bo Yang , Christopher Monterola

This paper demonstrates accurate traffic modeling and forecast using stochastic cell-automata (CA) and distributed fiber-optic sensing (DFOS). Traffic congestion is a dominant issue in highways. To reduce congestion, real-time traffic…

Cellular Automata and Lattice Gases · Physics 2025-11-24 Yoshiyuki Yajima , Takahiro Kumura

We study the problem of nonparametric estimation of density functions with a product form on the domain $\triangle=\{( x_1, \ldots, x_d)\in \mathbb{R}^d, 0\leq x_1\leq \dots \leq x_d \leq 1\}$. Such densities appear in the random truncation…

Statistics Theory · Mathematics 2016-04-22 Cristina Butucea , Jean-François Delmas , Anne Dutfoy , Richard Fischer

The information detection of complex systems from data is currently undergoing a revolution, driven by the emergence of big data and machine learning methodology. Discovering governing equations and quantifying dynamical properties of…

Dynamical Systems · Mathematics 2021-12-10 Min Dai , Jinqiao Duan , Jianyu Hu , Xiangjun Wang

Diffuse correlation spectroscopy (DCS) is an emerging noninvasive technique that measures the tissue blood flow, by using near-infrared coherent point-source illumination to detect spectral changes. While machine learning has demonstrated…

Machine Learning · Computer Science 2024-02-02 Xi Chen , Xingda Li

This paper has incorporated the stochasticity into the Newell car following model. Three stochastic driving factors have been considered: (i) Driver's acceleration is bounded. (ii) Driver's deceleration includes stochastic component, which…

Physics and Society · Physics 2018-11-02 Junfang Tian , Rui Jiang , Bin Jia , Shoufeng Ma , Ziyou Gao

The model interpretation is essential in many application scenarios and to build a classification model with a ease of model interpretation may provide useful information for further studies and improvement. It is common to encounter with a…

Machine Learning · Statistics 2019-01-07 Wan-Ping Nicole Chen , Yuan-chin Ivan Chang

Inter-city highway transportation is significant for urban life. As one of the key functions in intelligent transportation system (ITS), traffic evaluation always plays significant role nowadays, and daily traffic flow prediction still…

Machine Learning · Computer Science 2023-08-11 Weilong Ding , Tianpu Zhang , Jianwu Wang , Zhuofeng Zhao

Real-time traffic volume inference is key to an intelligent city. It is a challenging task because accurate traffic volumes on the roads can only be measured at certain locations where sensors are installed. Moreover, the traffic evolves…

Machine Learning · Computer Science 2019-02-26 Xianfeng Tang , Boqing Gong , Yanwei Yu , Huaxiu Yao , Yandong Li , Haiyong Xie , Xiaoyu Wang

The expected low market penetration of connected vehicles (CVs) in the near future could be a constraint in estimating traffic flow parameters, such as average travel speed of a roadway segment and average space headway between vehicles…

Machine Learning · Computer Science 2019-05-22 Mizanur Rahman , Mashrur Chowdhury , Jerome McClendon

We propose a nonconvex estimator for joint multivariate regression and precision matrix estimation in the high dimensional regime, under sparsity constraints. A gradient descent algorithm with hard thresholding is developed to solve the…

Machine Learning · Statistics 2016-06-03 Jinghui Chen , Quanquan Gu

We propose a new approach to non-parametric density estimation that is based on regularizing a Sobolev norm of the density. This method is statistically consistent, and makes the inductive bias of the model clear and interpretable. While…

Machine Learning · Statistics 2024-02-15 Mark Kozdoba , Binyamin Perets , Shie Mannor

The Enskog-like kinetic approach, recently introduced by us to study strongly inhomogeneous flu- ids, is reconsidered in order to improve the description of the transport coefficients. The approach is based on a separation of the…

Statistical Mechanics · Physics 2013-05-01 Umberto Marini Bettolo Marconi , Simone Melchionna

In this work we investigate the ability of a kinetic approach for traffic dynamics to predict speed distributions obtained through rough data. The present approach adopts the formalism of uncertainty quantification, since reaction strengths…

Adaptation and Self-Organizing Systems · Physics 2021-04-07 M. Herty , A. Tosin , G. Visconti , M. Zanella

Traffic state estimation plays an important role in facilitating effective traffic management. This study develops a combinatorial approach for nonparametric short-term queue length estimation in terms of cycle-by-cycle partially observed…

Methodology · Statistics 2021-12-10 Gurcan Comert , Tewodros Amdeberhan , Negash Begashaw , Mashrur Chowdhury

In this article, we propose a new nonparametric data analysis tool, which we call nonparametric modal regression, to investigate the relationship among interested variables based on estimating the mode of the conditional density of a…

Methodology · Statistics 2016-02-23 Weixin Yao , Sijia Xiang

A common objective in the analysis of tabular data is estimating the conditional distribution (in contrast to only producing predictions) of a set of "outcome" variables given a set of "covariates", which is sometimes referred to as the…

Machine Learning · Statistics 2024-10-08 Zhuoqun Wang , Naoki Awaya , Li Ma

We study non-parametric estimation of an unknown density with support in R (respectively R+). The proposed estimation procedure is based on the projection on finite dimensional subspaces spanned by the Hermite (respectively the Laguerre)…

Statistics Theory · Mathematics 2020-01-30 Sergio Brenner Miguel , Jan Johannes

Recent advancements in Connected Vehicle (CV) technology have prompted research on leveraging CV data for more effective traffic management. Despite the low penetration rate, such detailed CV data has demonstrated great potential in…

Optimization and Control · Mathematics 2024-06-21 Chaopeng Tan , Yue Ding , Kaidi Yang , Hong Zhu , Keshuang Tang
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