Efficient and Accurate Traffic Flow Prediction via Incremental Tensor Completion

Timely and accurate prediction of traffic flow plays an important role in improving living quality of the public, which greatly influences the policies and regulations to be enforced and abided by. In this paper, we propose to model urban highway traffic data with an incremental tensor structure to exploit all available feature aspects. It is conceived on the solid basis of dynamic tensor model for traffic prediction, and a fast low-rank tensor completion algorithm, equipped with gravitational search algorithm, is harnessed to optimize the parameters. The proposed method excavates the inner law of traffic flow data by taking account of multi-mode features, such as daily and weekly periodicity, spatial information, and temporal variations, and so on. Empirically, multi-view experiments demonstrate the superiority of Trapit, and indicate that the proposed method is potentially applicable in large and dynamic highway networks.

[2]  Tharam S. Dillon,et al.  Neural-Network-Based Models for Short-Term Traffic Flow Forecasting Using a Hybrid Exponential Smoothing and Levenberg–Marquardt Algorithm , 2012, IEEE Transactions on Intelligent Transportation Systems.

[3]  Guangdong Feng,et al.  A Tensor Based Method for Missing Traffic Data Completion , 2013 .

[4]  Wenhao Huang,et al.  Deep Architecture for Traffic Flow Prediction: Deep Belief Networks With Multitask Learning , 2014, IEEE Transactions on Intelligent Transportation Systems.

[5]  Li Pan,et al.  Predicting Short-Term Traffic Flow by Long Short-Term Memory Recurrent Neural Network , 2015, 2015 IEEE International Conference on Smart City/SocialCom/SustainCom (SmartCity).

[6]  Hossein Nezamabadi-pour,et al.  A gravitational search algorithm for multimodal optimization , 2014, Swarm Evol. Comput..

[7]  Mecit Cetin,et al.  Short-Term Traffic Flow Prediction with Regime Switching Models , 2006 .

[8]  A. R. Cook,et al.  ANALYSIS OF FREEWAY TRAFFIC TIME-SERIES DATA BY USING BOX-JENKINS TECHNIQUES , 1979 .

[9]  Hashem R Al-Masaeid,et al.  Short-Term Prediction of Traffic Volume in Urban Arterials , 1995 .

[10]  Y. Kamarianakis,et al.  Forecasting Traffic Flow Conditions in an Urban Network: Comparison of Multivariate and Univariate Approaches , 2003 .

[11]  Yurii Nesterov,et al.  Introductory Lectures on Convex Optimization - A Basic Course , 2014, Applied Optimization.

[12]  Cheol Oh,et al.  Exploring the Relationship between Data Aggregation and Predictability to Provide Better Predictive Traffic Information , 2005 .

[13]  Li Li,et al.  Using LSTM and GRU neural network methods for traffic flow prediction , 2016, 2016 31st Youth Academic Annual Conference of Chinese Association of Automation (YAC).

[14]  Andrzej Cichocki,et al.  Nonnegative Matrix and Tensor Factorization T , 2007 .

[15]  Christoph Schwab,et al.  Low-rank tensor structure of linear diffusion operators in the TT and QTT formats☆ , 2013 .

[16]  Byoung-Jo Yoon,et al.  Dynamic near-term traffic flow prediction: system- oriented approach based on past experiences , 2012 .

[17]  Henry X. Liu,et al.  Use of Local Linear Regression Model for Short-Term Traffic Forecasting , 2003 .

[18]  Ivan Oseledets,et al.  Tensor-Train Decomposition , 2011, SIAM J. Sci. Comput..

[19]  Yurii Nesterov,et al.  Smooth minimization of non-smooth functions , 2005, Math. Program..

[20]  Bin Ran,et al.  Traffic Speed Data Imputation Method Based on Tensor Completion , 2015, Comput. Intell. Neurosci..

[21]  Jieping Ye,et al.  Tensor Completion for Estimating Missing Values in Visual Data , 2013, IEEE Trans. Pattern Anal. Mach. Intell..

[22]  Eleni I. Vlahogianni,et al.  Temporal aggregation in traffic data: implications for statistical characteristics and model choice , 2011 .

[23]  Mascha C. van der Voort,et al.  Combining kohonen maps with arima time series models to forecast traffic flow , 1996 .

[24]  Billy M. Williams Multivariate Vehicular Traffic Flow Prediction: Evaluation of ARIMAX Modeling , 2001 .

[25]  Xiang Zhao,et al.  Efficient and Accurate Traffic Flow Prediction via Fast Dynamic Tensor Completion , 2017, TRAP.

[26]  Moshe Levin,et al.  ON FORECASTING FREEWAY OCCUPANCIES AND VOLUMES (ABRIDGMENT) , 1980 .

[27]  Said M. Easa,et al.  Supervised Weighting-Online Learning Algorithm for Short-Term Traffic Flow Prediction , 2013, IEEE Transactions on Intelligent Transportation Systems.

[28]  Shiliang Sun,et al.  A bayesian network approach to traffic flow forecasting , 2006, IEEE Transactions on Intelligent Transportation Systems.

[29]  Daniel B. Fambro,et al.  Application of Subset Autoregressive Integrated Moving Average Model for Short-Term Freeway Traffic Volume Forecasting , 1999 .

[30]  Man-Chun Tan,et al.  An Aggregation Approach to Short-Term Traffic Flow Prediction , 2009, IEEE Transactions on Intelligent Transportation Systems.

[31]  N-E El Faouzi NONPARAMETRIC TRAFFIC FLOW PREDICTION USING KERNEL ESTIMATOR , 1996 .

[32]  Tamara G. Kolda,et al.  Tensor Decompositions and Applications , 2009, SIAM Rev..

[33]  Tamara G. Kolda,et al.  Scalable Tensor Factorizations for Incomplete Data , 2010, ArXiv.

[34]  Billy M. Williams,et al.  Modeling and Forecasting Vehicular Traffic Flow as a Seasonal ARIMA Process: Theoretical Basis and Empirical Results , 2003, Journal of Transportation Engineering.

[35]  Bin Ran,et al.  Short-Term Traffic Prediction Based on Dynamic Tensor Completion , 2016, IEEE Transactions on Intelligent Transportation Systems.

[36]  Antony Stathopoulos,et al.  Adaptive hybrid fuzzy rule-based system approach for modeling and predicting urban traffic flow , 2008 .