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Related papers: Forward and Reverse Parking in a Parking Lot

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Because the stochastic calculus yields rarely random variables with laws defined by explicit closed formulas, probabilistic numerical computations are done most often by simulation. The simulation by the shift, whose field of application is…

Probability · Mathematics 2007-05-23 Nicolas Bouleau

Localization is the challenge of determining the robot's pose in a mapped environment. This is done by implementing a probabilistic algorithm to filter noisy sensor measurements and track the robot's position and orientation. This paper…

Robotics · Computer Science 2025-01-03 Sagarnil Das

We propose an integrated prediction and planning system for autonomous driving which uses rational inverse planning to recognise the goals of other vehicles. Goal recognition informs a Monte Carlo Tree Search (MCTS) algorithm to plan…

Predicting the future motion of vehicles has been studied using various techniques, including stochastic policies, generative models, and regression. Recent work has shown that classification over a trajectory set, which approximates…

Machine Learning · Computer Science 2021-01-15 Freddy A. Boulton , Elena Corina Grigore , Eric M. Wolff

During the attempt to park a car in the city the drivers have to share limited resources (the available roadside). We show that this fact leads to a predictable distribution of the distances between the cars that depends on the length of…

Physics and Society · Physics 2008-04-11 Petr Seba

Parking demand forecasting and behaviour analysis have received increasing attention in recent years because of their critical role in mitigating traffic congestion and understanding travel behaviours. However, previous studies usually only…

Applications · Statistics 2021-08-18 Shuhui Gong , Xiaopeng Mo , Rui Cao , Yu Liu , Wei Tu , Ruibin Bai

A special type of binomial splitting process is studied. Such a process can be used to model a high-dimensional corner parking problem, as well as the depth of random PATRICIA tries (a special class of digital tree data structures). The…

Probability · Mathematics 2013-11-27 Michael Fuchs , Hsien-Kuei Hwang , Yoshiaki Itoh , Hosam H. Mahmoud

This paper presents an intelligent autonomous parking system with multi-functions. The integrated system consists of two sub-systems, namely the Fuzzy-Based Onboard System and control center. Unlike most current auto-parking experiments,…

Systems and Control · Electrical Eng. & Systems 2019-12-17 Yu Wang , Xiaoxi Zhu

Traffic congestion is a widespread problem. Dynamic traffic routing systems and congestion pricing are getting importance in recent research. Lane prediction and vehicle density estimation is an important component of such systems. We…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 Parag S. Chandakkar , Yilin Wang , Baoxin Li

This paper provides an exploration of parking functions, a classical combinatorial object. We present two viewpoints on their structure and properties: through poset of noncrossing partitions and polytopes.

History and Overview · Mathematics 2024-12-17 Yan Liu

To navigate safely in urban environments, an autonomous vehicle (ego vehicle) must understand and anticipate its surroundings, in particular the behavior and intents of other road users (neighbors). Most of the times, multiple decision…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Thibault Buhet , Emilie Wirbel , Andrei Bursuc , Xavier Perrotton

In this paper, machine learning techniques are used to forecast the difference between bike returns and withdrawals at each station of a bike sharing system. The forecasts are integrated into a simulation framework that is used to support…

Optimization and Control · Mathematics 2026-03-17 Enrico Angelelli , Andrea Mor , Carlotta Orsenigo , M. Grazia Speranza , Carlo Vercellis

Finding a parking space nowadays becomes an issue that is not to be neglected, it consumes time and energy. We have used computer vision techniques to infer the state of the parking lot given the data collected from the University of The…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Julien Nyambal , Richard Klein

Uncertainty in decision-making is crucial in the machine learning model used for a safety-critical system that operates in the real world. Therefore, it is important to handle uncertainty in a graceful manner for the safe operation of the…

Machine Learning · Computer Science 2023-03-16 Akash Fogla , Kanish Kumar , Sunnay Saurav , Bishnu ramanujan

An approach for the description of stochastic systems is derived. Some of the variables in the system are studied forward in time, others backward in time. The approach is based on a perturbation expansion in the strength of the coupling…

Statistical Mechanics · Physics 2021-08-04 Piero Olla

A reversible adsorption-desorption parking process in one dimension is studied. An exact solution for the equilibrium properties is obtained. The coverage near saturation depends logarithmically on the ratio between the adsorption rate,…

Condensed Matter · Physics 2009-10-22 P. L. Krapivsky , E. Ben-Naim

We extend the notion of parking functions to parking sequences, which include cars of different sizes, and prove a product formula for the number of such sequences.

Combinatorics · Mathematics 2017-08-31 Richard Ehrenborg , Alex Happ

Motion planning in environments with multiple agents is critical to many important autonomous applications such as autonomous vehicles and assistive robots. This paper considers the problem of motion planning, where the controlled agent…

Robotics · Computer Science 2020-11-30 Yuxiao Chen , Ugo Rosolia , Chuchu Fan , Aaron D. Ames , Richard Murray

This paper is on decision making of autonomous vehicles for handling roundabouts. The round intersection is introduced first followed by the Markov Decision Processes (MDP), the Partially Observable Markov Decision Processes (POMDP) and the…

Systems and Control · Electrical Eng. & Systems 2023-04-28 Xinchen Li , Levent Guvenc , Bilin Aksun-Guvenc

We construct a stochastic cellular automata model for the description of vehicular traffic at a roundabout designed at the intersection of two perpendicular streets. The vehicular traffic is controlled by a self-organized scheme in which…

Statistical Mechanics · Physics 2012-03-20 M. Ebrahim Fouladvand , Zeinab Sadjadi , M. Reza Shaebani