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This article introduces a new virtual trajectory dataset derived from the I-24 MOTION INCEPTION v1.0.0 dataset to address challenges in analyzing large but noisy trajectory datasets. Building on the concept of virtual trajectories, we…

Image and Video Processing · Electrical Eng. & Systems 2023-11-21 Junyi Ji , Yanbing Wang , Derek Gloudemans , Gergely Zachár , William Barbour , Daniel B. Work

This works presents a formulation for visual navigation that unifies map based spatial reasoning and path planning, with landmark based robust plan execution in noisy environments. Our proposed formulation is learned from data and is thus…

Computer Vision and Pattern Recognition · Computer Science 2017-12-22 Saurabh Gupta , David Fouhey , Sergey Levine , Jitendra Malik

We investigate methods for learning partial differential equation (PDE) models from spatiotemporal data under biologically realistic levels and forms of noise. Recent progress in learning PDEs from data have used sparse regression to select…

Dynamical Systems · Mathematics 2021-04-28 John Lagergren , John T. Nardini , G. Michael Lavigne , Erica M. Rutter , Kevin B. Flores

Uncertainty estimation for unlabeled data is crucial to active learning. With a deep neural network employed as the backbone model, the data selection process is highly challenging due to the potential over-confidence of the model…

Machine Learning · Computer Science 2024-02-14 Xingjian Li , Pengkun Yang , Yangcheng Gu , Xueying Zhan , Tianyang Wang , Min Xu , Chengzhong Xu

The sparse identification of nonlinear dynamics (SINDy) has been established as an effective technique to produce interpretable models of dynamical systems from time-resolved state data via sparse regression. However, to model parameterized…

Dynamical Systems · Mathematics 2024-05-15 Javier A. Lemus , Benjamin Herrmann

This is the third part of a series of studies that model the target trajectory, which describes the target state evolution over continuous time, as a sample path of a stochastic process (SP). By adopting a deterministic-stochastic…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Tiancheng Li , Jingyuan Wang , Guchong Li , Dengwei Gao

We consider the problem of estimating the parameters of a vehicle dynamics model for predictive control in driving applications. Instead of solely using the instantaneous parameters estimated from the vehicle signals, we combine this with…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Marcus Greiff , Ray Zhang , Takeru Shirasawa , John Subosits

Many tasks in explainable machine learning, such as data valuation and feature attribution, perform expensive computation for each data point and are intractable for large datasets. These methods require efficient approximations, and…

Machine Learning · Computer Science 2024-10-31 Ian Covert , Chanwoo Kim , Su-In Lee , James Zou , Tatsunori Hashimoto

Estimating the state of a dynamical system from a series of noise-corrupted observations is fundamental in many areas of science and engineering. The most well-known method, the Kalman smoother (and the related Kalman filter), relies on…

Machine Learning · Statistics 2017-04-24 Luca Ambrogioni , Umut Güçlü , Eric Maris , Marcel van Gerven

Automated driving applications require accurate vehicle specific models to precisely predict and control the motion dynamics. However, modern vehicles have a wide array of digital and mechatronic components that are difficult to model,…

Systems and Control · Electrical Eng. & Systems 2021-05-11 G. Rödönyi , G. I. Beintema , R. Tóth , M. Schoukens , D. Pup , Á. Kisari , Zs. Vígh , P. Kőrös , A. Soumelidis , J. Bokor

In some real world applications, such as spectrometry, functional models achieve better predictive performances if they work on the derivatives of order m of their inputs rather than on the original functions. As a consequence, the use of…

Statistics Theory · Mathematics 2011-05-04 Fabrice Rossi , Nathalie Villa-Vialaneix

Accurate and robust trajectory predictions of road users are needed to enable safe automated driving. To do this, machine learning models are often used, which can show erratic behavior when presented with previously unseen inputs. In this…

Artificial Intelligence · Computer Science 2023-04-05 Manuel Muñoz Sánchez , Emilia Silvas , Jos Elfring , René van de Molengraft

Continuous-time trajectory estimation is an attractive alternative to discrete-time batch estimation due to the ability to incorporate high-frequency measurements from asynchronous sensors while keeping the number of optimization parameters…

Robotics · Computer Science 2024-02-02 Jacob Johnson , Joshua Mangelson , Timothy Barfoot , Randal Beard

Audio-based pedestrian detection is a challenging task and has, thus far, only been explored in noise-limited environments. We present a new dataset, results, and a detailed analysis of the state-of-the-art in audio-based pedestrian…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-24 Yonghyun Kim , Chaeyeon Han , Akash Sarode , Noah Posner , Subhrajit Guhathakurta , Alexander Lerch

We consider model selection and estimation for partial spline models and propose a new regularization method in the context of smoothing splines. The regularization method has a simple yet elegant form, consisting of roughness penalty on…

Methodology · Statistics 2013-11-25 Guang Cheng , Hao Helen Zhang , Zuofeng Shang

Ego-pose estimation and dynamic object tracking are two key issues in an autonomous driving system. Two assumptions are often made for them, i.e. the static world assumption of simultaneous localization and mapping (SLAM) and the exact…

Robotics · Computer Science 2022-02-24 Xuebo Tian , Junqiao Zhao , Chen Ye

This paper considers the problem of simultaneous estimation of the attitude, position and linear velocity for vehicles navigating in a three-dimensional space. We propose two types of hybrid nonlinear observers using continuous angular…

Optimization and Control · Mathematics 2020-07-22 Miaomiao Wang , Abdelhamid Tayebi

Combining information both within and across trajectories, we propose a simple estimator for the local regularity of the trajectories of a stochastic process. Independent trajectories are measured with errors at randomly sampled time…

Statistics Theory · Mathematics 2022-03-15 Steven Golovkine , Nicolas Klutchnikoff , Valentin Patilea

Image animation brings life to the static object in the source image according to the driving video. Recent works attempt to perform motion transfer on arbitrary objects through unsupervised methods without using a priori knowledge.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Jian Zhao , Hui Zhang

We present an advanced interpolation method for estimating smooth spatiotemporal profiles for local highway traffic variables such as flow, speed and density. The method is based on stationary detector data as typically collected by traffic…

Data Analysis, Statistics and Probability · Physics 2011-08-25 Martin Treiber , Arne Kesting , R. Eddie Wilson
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