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Related Concept Videos

Vector Functions and Motion: Problem Solving01:30

Vector Functions and Motion: Problem Solving

Accurate position tracking is fundamental to the safe and effective operation of unmanned aerial vehicles (UAVs), particularly during precision maneuvers near complex structures. In this scenario, a drone is programmed to perform a high-precision inspection of a vertical structure, starting at position ((x, y, z) = (3, 0, 0)), with an initial velocity oriented in the positive z-direction. The trajectory of the drone is governed by a time-dependent acceleration function a(t), which is predefined...
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Modern aerospace navigation depends on the accurate prediction of motion in three-dimensional space. In defense applications, radar systems continuously track both interceptors and moving aerial targets to find whether their flight paths will result in a collision. These motions are modeled mathematically as space curves, which represent paths that change continuously with time. Each object’s position is described by a vector function that specifies its location in terms of time-dependent...
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A plane traveling due north at 180 km/h in still air was found to be 80 km off-course after 30 minutes, deviating approximately 5 degrees east of north. This deviation means the influence of a crosswind alters the plane’s intended trajectory. The actual ground path formed a diagonal, suggesting that the aircraft’s effective ground speed was reduced to 160 km/h and directed slightly to the east due to the wind.By analyzing the displacement from the intended path, the velocity contributed by the...
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Related Experiment Video

Updated: Jun 13, 2026

Trajectory Data Analyses for Pedestrian Space-time Activity Study
16:14

Trajectory Data Analyses for Pedestrian Space-time Activity Study

Published on: February 25, 2013

Gaussian Process Regression for Tail Vehicle Departure Time Prediction at Signalized Intersections Using UAV

Kaiming Lu1, Zhe Liu1, Runsheng Zhang1

  • 1Transport Planning and Research Institute, Ministry of Transport, Beijing 100028, China.

Sensors (Basel, Switzerland)
|June 12, 2026
PubMed
Summary

This study uses drone data and Gaussian process regression to predict tail vehicle departure times at signalized intersections, improving traffic flow optimization for connected vehicles.

Keywords:
Gauss process regressionmachine learningmulti-lane signalized intersectionstraffic uncertaintiesvehicle departure time

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Area of Science:

  • Traffic Engineering
  • Data Science
  • Transportation Systems

Background:

  • Traditional vehicle departure time prediction methods struggle with traffic uncertainties and multi-lane complexities.
  • Existing models often assume steady-state traffic flow, limiting their real-world applicability.

Purpose of the Study:

  • To develop a novel method for predicting tail vehicle departure time using unmanned aerial vehicle (UAV) trajectory data.
  • To optimize green light crossing windows and eco-driving trajectories for connected vehicles at signalized intersections.

Main Methods:

  • Leveraging UAV trajectory data to create fleet state features.
  • Applying Gaussian process regression for departure time prediction modeling.
  • Validating the model with field-measured data from multi-lane signalized intersections.

Main Results:

  • Departure time of tail vehicles follows a Gaussian process, validating the chosen regression method.
  • The proposed method achieved an average 5.146% reduction in Mean Absolute Percentage Error (MAPE) compared to benchmark models.
  • The model demonstrated good robustness, performing comparably to XGBoost.

Conclusions:

  • Gaussian process regression is effective for modeling tail vehicle departure times at signalized intersections.
  • The UAV-based approach offers improved accuracy for traffic flow optimization.
  • Further validation with cross-site data is needed to generalize findings to unseen intersections.