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Linear trajectory models provide mathematical advantages to autonomous driving applications such as motion prediction. However, linear models' expressive power and bias for real-world trajectories have not been thoroughly analyzed. We…

Machine Learning · Computer Science 2025-05-22 Yue Yao , Daniel Goehring , Joerg Reichardt

Deep learning (DL) has recently attracted increasing interest to improve object type classification for automotive radar.In addition to high accuracy, it is crucial for decision making in autonomous vehicles to evaluate the reliability of…

Machine Learning · Computer Science 2021-06-11 Kanil Patel , William Beluch , Kilian Rambach , Adriana-Eliza Cozma , Michael Pfeiffer , Bin Yang

Telematics data is becoming increasingly available due to the ubiquity of devices that collect data during drives, for different purposes, such as usage based insurance (UBI), fleet management, navigation of connected vehicles, etc.…

Artificial Intelligence · Computer Science 2020-04-06 Sobhan Moosavi , Arnab Nandi , Rajiv Ramnath

Practical identifiability is a critical concern in data-driven modeling of mathematical systems. In this paper, we propose a novel framework for practical identifiability analysis to evaluate parameter identifiability in mathematical models…

Quantitative Methods · Quantitative Biology 2026-01-06 Shun Wang , Wenrui Hao

In this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

Optimization and Control · Mathematics 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero

Latent class models have wide applications in social and biological sciences. In many applications, pre-specified restrictions are imposed on the parameter space of latent class models, through a design matrix, to reflect practitioners'…

Statistics Theory · Mathematics 2019-06-03 Yuqi Gu , Gongjun Xu

Situational awareness in vehicular networks could be substantially improved utilizing reliable trajectory prediction methods. More precise situational awareness, in turn, results in notably better performance of critical safety…

Robotics · Computer Science 2018-08-03 Hossein Nourkhiz Mahjoub , Amin Tahmasbi-Sarvestani , Hadi Kazemi , Yaser P. Fallah

In this work, we introduce a novel Deep Learning-based method to perceive the environment of a vehicle based on radar scans while accounting for uncertainties in its predictions. The environment of the host vehicle is segmented into equally…

Machine Learning · Computer Science 2023-06-06 Marco Braun , Moritz Luszek , Jan Siegemund , Kevin Kollek , Anton Kummert

This paper presents a Cramer-Rao bound (CRB) for the estimation of parameters confined to an arbitrary set. Unlike existing results that rely on equality or inequality constraints, manifold structures, or the nonsingularity of the Fisher…

Signal Processing · Electrical Eng. & Systems 2026-01-28 Heedong Do , Angel Lozano

Accurate calibration of car-following models is essential for understanding human driving behaviors and implementing high-fidelity microscopic simulations. This work proposes a memory-augmented Bayesian calibration technique to capture both…

Applications · Statistics 2024-04-25 Chengyuan Zhang , Lijun Sun

The Intelligent Driver Model is studied and several drawbacks with respect to driving simulators are defined. We present two modifications of the IDM. The first one gives any predefined distance to the leading vehicle in a steady state. The…

Physics and Society · Physics 2016-10-18 Valentina Kurtc , Igor Anufriev

Accurate prediction of surrounding road users' trajectories is essential for safe and efficient autonomous driving. While deep learning models have improved performance, challenges remain in preventing off-road predictions and ensuring…

Automated Vehicles (AVs) promise significant advances in transportation. Critical to these improvements is understanding AVs' longitudinal behavior, relying heavily on real-world trajectory data. Existing open-source trajectory datasets of…

Robotics · Computer Science 2025-04-29 Hang Zhou , Ke Ma , Shixiao Liang , Xiaopeng Li , Xiaobo Qu

Accurate vehicle trajectory prediction is crucial for ensuring safe and efficient autonomous driving. This work explores the integration of Transformer based model with Long Short-Term Memory (LSTM) based technique to enhance spatial and…

Robotics · Computer Science 2024-12-19 Chandra Raskoti , Weizi Li

A key ingredient to achieving intelligent behavior is physical understanding that equips robots with the ability to reason about the effects of their actions in a dynamic environment. Several methods have been proposed to learn dynamics…

Robotics · Computer Science 2020-01-24 David Millard , Eric Heiden , Shubham Agrawal , Gaurav S. Sukhatme

How to make a dynamic system unidentifiable is an important but still open issue. It not only requires that the parameters of the systems but also the equivalent systems cannot be identified by any identification approaches. Thus, it is a…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Xiangyu Mao , Jianping He

The quantum Cram\'er-Rao bound sets a fundamental limit on the accuracy of unbiased parameter estimation in quantum systems, relating the uncertainty in determining a parameter to the inverse of the quantum Fisher information. We…

In this work, we analyze various scaling limits of the training dynamics of transformer models in the feature learning regime. We identify the set of parameterizations that admit well-defined infinite width and depth limits, allowing the…

Machine Learning · Statistics 2024-10-07 Blake Bordelon , Hamza Tahir Chaudhry , Cengiz Pehlevan

The design and analysis of diffusive molecular communication systems generally requires knowledge of the environment's physical and chemical properties. Furthermore, prospective applications might rely on the timely detection of changes in…

Information Theory · Computer Science 2015-11-20 Adam Noel , Karen C. Cheung , Robert Schober

For autonomous driving, traversability analysis is one of the most basic and essential tasks. In this paper, we propose a novel LiDAR-based terrain modeling approach, which could output stable, complete and accurate terrain models and…

Robotics · Computer Science 2023-07-06 Hanzhang Xue , Hao Fu , Liang Xiao , Yiming Fan , Dawei Zhao , Bin Dai