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Advanced driver assistance systems have improved comfort, safety, and efficiency of modern vehicles. However, sensor limitations lead to noisy lane estimates that pose a significant challenge in developing performant control architectures.…

系统与控制 · 电气工程与系统科学 2025-09-05 Leon Greiser , Christian Rathgeber , Vladislav Nenchev , Sören Hohmann

Modern navigation solutions are largely dependent on the performances of the standalone inertial sensors, especially at times when no external sources are available. During these outages, the inertial navigation solution is likely to…

信号处理 · 电气工程与系统科学 2025-11-20 Daniel Engelsman , Itzik Klein

We present a new method to obtain spatio-temporal information from aggregated data of stationary traffic detectors, the ``adaptive smoothing method''. In essential, a nonlinear spatio-temporal lowpass filter is applied to the input detector…

统计力学 · 物理学 2007-05-23 Martin Treiber , Dirk Helbing

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…

机器学习 · 计算机科学 2021-01-15 Freddy A. Boulton , Elena Corina Grigore , Eric M. Wolff

Previous visual object tracking methods employ image-feature regression models or coordinate autoregression models for bounding box prediction. Image-feature regression methods heavily depend on matching results and do not utilize…

计算机视觉与模式识别 · 计算机科学 2025-01-07 Xinyu Zhou , Jinglun Li , Lingyi Hong , Kaixun Jiang , Pinxue Guo , Weifeng Ge , Wenqiang Zhang

In this paper, we study the nonlinear inverse problem of estimating the spectrum of a system matrix, that drives a finite-dimensional affine dynamical system, from partial observations of a single trajectory data. In the noiseless case, we…

数值分析 · 数学 2021-12-22 Jiahui Cheng , Sui Tang

Time-varying linear state-space models are powerful tools for obtaining mathematically interpretable representations of neural signals. For example, switching and decomposed models describe complex systems using latent variables that evolve…

This paper proposes a new stochastic model of traffic dynamics in Lagrangian coordinates. The source of uncertainty is heterogeneity in driving behavior, captured using driver-specific speed-spacing relations, i.e., parametric uncertainty.…

系统与控制 · 计算机科学 2019-08-16 Fangfang Zheng , Saif Eddin Jabari , Henry X. Liu , DianChao Lin

We demonstrate the possibility to systematically steer the most probable escape paths (MPEPs) by adjusting relative noise intensities in dynamical systems that exhibit noise-induced escape from a metastable point via a saddle point. Using a…

统计力学 · 物理学 2015-06-19 Paul H. Dannenberg , John C. Neu , Stephen W. Teitsworth

Attaining reliable profile gradients is of utmost relevance for many physical systems. In most situations, the estimation of gradient can be inaccurate due to noise. It is common practice to first estimate the underlying system and then…

数据分析、统计与概率 · 物理学 2021-05-31 Kushani De Silva , Carlo Cafaro , Adom Giffin

In this work we solve the position-aided 3D navigation problem using a nonlinear estimation scheme. More precisely, we propose a nonlinear observer to estimate the full state of the vehicle (position, velocity, orientation and gyro bias)…

系统与控制 · 电气工程与系统科学 2021-03-26 Soulaimane Berkane , Abdelhamid Tayebi

Identifying Ordinary Differential Equations (ODEs) from measurement data requires both fitting the dynamics and assimilating, either implicitly or explicitly, the measurement data. The Sparse Identification of Nonlinear Dynamics (SINDy)…

动力系统 · 数学 2024-05-07 Jacob Stevens-Haas , Yash Bhangale , Aleksandr Aravkin , Nathan Kutz

Historically, feature-based approaches have been used extensively for camera-based robot perception tasks such as localization, mapping, tracking, and others. Several of these approaches also combine other sensors (inertial sensing, for…

机器人学 · 计算机科学 2023-10-11 Kartikeya Singh , Charuvaran Adhivarahan , Karthik Dantu

In this paper, we introduce a novel method to capture visual trajectories for navigating an indoor robot in dynamic settings using streaming image data. First, an image processing pipeline is proposed to accurately segment trajectories from…

机器人学 · 计算机科学 2020-01-13 Aditya Rajguru , Christopher Collander , William J. Beksi

Sparse regression has recently emerged as an attractive approach for discovering models of spatiotemporally complex dynamics directly from data. In many instances, such models are in the form of nonlinear partial differential equations…

动力系统 · 数学 2020-01-29 Patrick A. K. Reinbold , Daniel R. Gurevich , Roman O. Grigoriev

This work proposes a Stochastic Variational Deep Kernel Learning method for the data-driven discovery of low-dimensional dynamical models from high-dimensional noisy data. The framework is composed of an encoder that compresses…

机器学习 · 计算机科学 2023-06-28 Nicolò Botteghi , Mengwu Guo , Christoph Brune

Dynamical systems are used to model a variety of phenomena in which the bifurcation structure is a fundamental characteristic. Here we propose a statistical machine-learning approach to derive lowdimensional models that automatically…

定量方法 · 定量生物学 2015-06-11 Yohei Kondo , Kunihiko Kaneko , Shuji Ishihara

A new algorithm is presented for reconstructing stochastic nonlinear dynamical models from noisy time-series data. The approach is analytical; consequently, the resulting algorithm does not require an extensive global search for the model…

其他凝聚态物理 · 物理学 2009-11-10 V. N. Smelyanskiy , D. G. Luchinsky , D. A. Timucin , A. Bandrivskyy

Highway driving invariably combines high speeds with the need to interact closely with other drivers. Prediction methods enable autonomous vehicles (AVs) to anticipate drivers' future trajectories and plan accordingly. Kinematic methods for…

机器人学 · 计算机科学 2021-04-01 Cyrus Anderson , Ram Vasudevan , Matthew Johnson-Roberson

Trajectory prediction is an important task that involves modeling the indeterminate nature of traffic actors to forecast future trajectories given the observed trajectory sequences. However, current methods confine themselves to presumed…

机器人学 · 计算机科学 2023-12-18 Pranav Singh Chib , Pravendra Singh