Uncertainty Quantification via Spatial-Temporal Tweedie Model for Zero-inflated and Long-tail Travel Demand Prediction

Fuente: arXiv
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Auteurs principaux: Jiang, Xinke, Zhuang, Dingyi, Zhang, Xianghui, Chen, Hao, Luo, Jiayuan, Gao, Xiaowei
Format: Preprint
Publié: 2023
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author Jiang, Xinke
Zhuang, Dingyi
Zhang, Xianghui
Chen, Hao
Luo, Jiayuan
Gao, Xiaowei
author_facet Jiang, Xinke
Zhuang, Dingyi
Zhang, Xianghui
Chen, Hao
Luo, Jiayuan
Gao, Xiaowei
contents Understanding Origin-Destination (O-D) travel demand is crucial for transportation management. However, traditional spatial-temporal deep learning models grapple with addressing the sparse and long-tail characteristics in high-resolution O-D matrices and quantifying prediction uncertainty. This dilemma arises from the numerous zeros and over-dispersed demand patterns within these matrices, which challenge the Gaussian assumption inherent to deterministic deep learning models. To address these challenges, we propose a novel approach: the Spatial-Temporal Tweedie Graph Neural Network (STTD). The STTD introduces the Tweedie distribution as a compelling alternative to the traditional 'zero-inflated' model and leverages spatial and temporal embeddings to parameterize travel demand distributions. Our evaluations using real-world datasets highlight STTD's superiority in providing accurate predictions and precise confidence intervals, particularly in high-resolution scenarios.
format Preprint
id arxiv_https___arxiv_org_abs_2306_09882
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Uncertainty Quantification via Spatial-Temporal Tweedie Model for Zero-inflated and Long-tail Travel Demand Prediction
Jiang, Xinke
Zhuang, Dingyi
Zhang, Xianghui
Chen, Hao
Luo, Jiayuan
Gao, Xiaowei
Machine Learning
Other Statistics
Understanding Origin-Destination (O-D) travel demand is crucial for transportation management. However, traditional spatial-temporal deep learning models grapple with addressing the sparse and long-tail characteristics in high-resolution O-D matrices and quantifying prediction uncertainty. This dilemma arises from the numerous zeros and over-dispersed demand patterns within these matrices, which challenge the Gaussian assumption inherent to deterministic deep learning models. To address these challenges, we propose a novel approach: the Spatial-Temporal Tweedie Graph Neural Network (STTD). The STTD introduces the Tweedie distribution as a compelling alternative to the traditional 'zero-inflated' model and leverages spatial and temporal embeddings to parameterize travel demand distributions. Our evaluations using real-world datasets highlight STTD's superiority in providing accurate predictions and precise confidence intervals, particularly in high-resolution scenarios.
title Uncertainty Quantification via Spatial-Temporal Tweedie Model for Zero-inflated and Long-tail Travel Demand Prediction
topic Machine Learning
Other Statistics
url https://arxiv.org/abs/2306.09882