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This paper delves into a nonparametric estimation approach for the interaction function within diffusion-type particle system models. We introduce two estimation methods based upon an empirical risk minimization. Our study encompasses an…

Statistics Theory · Mathematics 2024-02-23 Denis Belomestny , Mark Podolskij , Shi-Yuan Zhou

Reliable pedestrian crash avoidance mitigation (PCAM) systems are crucial components of safe autonomous vehicles (AVs). The nature of the vehicle-pedestrian interaction where decisions of one agent directly affect the other agent's optimal…

Robotics · Computer Science 2022-07-26 Raphael Trumpp , Harald Bayerlein , David Gesbert

In interactions between automated vehicles (AVs) and crossing pedestrians, modeling implicit vehicle communication is crucial. In this work, we present a combined prediction and planning approach that allows to consider the influence of the…

Human-Computer Interaction · Computer Science 2025-09-29 Markus Amann , Malte Probst , Raphael Wenzel , Thomas H. Weisswange , Miguel Ángel Sotelo

A new continuous contact force model for contacting problems with regular or irregular contacting surfaces and energy dissipations in multibody systems is presented and discussed in this work. The model is developed according to Hertz law…

Classical Physics · Physics 2020-01-07 Jie Zhang , Wenhao Li , Lei Zhao , Guangping He

This paper proposes a novel parameter selection strategy for kernel-based gradient descent (KGD) algorithms, integrating bias-variance analysis with the splitting method. We introduce the concept of empirical effective dimension to quantify…

Machine Learning · Statistics 2026-03-05 Xiaotong Liu , Yunwen Lei , Xiangyu Chang , Shao-Bo Lin

The paper proposes an approach for the efficient model order reduction of dynamic contact problems in linear elasticity. Instead of the augmented Lagrangian method that is widely used for mechanical contact problems, we prefer here the…

Numerical Analysis · Mathematics 2021-07-27 Diana Manvelyan , Bernd Simeon , Utz Wever

This paper presents a new parameter estimation algorithm for the adaptive control of a class of time-varying plants. The main feature of this algorithm is a matrix of time-varying learning rates, which enables parameter estimation error…

Optimization and Control · Mathematics 2021-11-18 Joseph E. Gaudio , Anuradha M. Annaswamy , Eugene Lavretsky , Michael A. Bolender

Despite the great success of using gradient-based controllers to stabilize rigid formations of autonomous agents in the past years, surprising yet intriguing undesirable collective motions have been reported recently when inconsistent…

Robotics · Computer Science 2016-09-22 Hector Garcia de Marina , Ming Cao , Bayu Jayawardhana

With the advancement of data-driven techniques, addressing continuous con-trol challenges has become more efficient. However, the reliance of these methods on historical data introduces the potential for unexpected decisions in novel…

Robotics · Computer Science 2023-10-23 Xi Xiong , Lu Liu

This paper proposes collision-free optimal trajectory planning for autonomous vehicles in highway traffic, where vehicles need to deal with the interaction among each other. To address this issue, a novel optimal control framework is…

Robotics · Computer Science 2024-04-03 Dongryul Kim , Hyeonjeong Kim , Kyoungseok Han

Gradient tracking methods have emerged as one of the most popular approaches for solving decentralized optimization problems over networks. In this setting, each node in the network has a portion of the global objective function, and the…

Optimization and Control · Mathematics 2023-11-27 Albert S. Berahas , Raghu Bollapragada , Shagun Gupta

Due to the inherent safety concerns associated with traffic movement in unconstrained two-dimensional settings, it is important that pedestrians' and other modes' movements such as bicyclists are modeled as a risk-taking stochastic dynamic…

Physics and Society · Physics 2024-07-30 Mohaiminul Haque , Samer Hamdar , Alireza Talebpour

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

In this paper, we deal with a size-variable group of pedestrians moving in a unknown confined environment and searching for an exit. Pedestrian dynamics are simulated by means of a recently introduced microscopic (agent-based) model,…

Physics and Society · Physics 2019-06-28 Emiliano Cristiani , Daniele Peri

Before a car-following model can be applied in practice, it must first be validated against real data in a process known as calibration. This paper discusses the formulation of calibration as an optimization problem, and compares different…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Ronan Keane , H. Oliver Gao

We consider a microscopic model (a system of self-propelled particles) to study the behaviour of a large group of pedestrians walking in a corridor. Our point of interest is the effect of anisotropic interactions on the global behaviour of…

Physics and Society · Physics 2013-04-17 Lennart Gulikers , Joep Evers , Adrian Muntean , Alexey Lyulin

In many human-in-the-loop robotic applications such as robot-assisted surgery and remote teleoperation, predicting the intended motion of the human operator may be useful for successful implementation of shared control, guidance virtual…

Robotics · Computer Science 2018-03-28 Arun Kumar Singh , Sigal Berman , Ilana Nisky

Personalised rehabilitation can be key to promoting gait independence and quality of life. Robots can enhance therapy by systematically delivering support in gait training, but often use one-size-fits-all control methods, which can be…

We study an optimal transportation approach for recovering parameters in dynamical systems with a single smoothly varying attractor. We assume that the data is not sufficient for estimating time derivatives of state variables but enough to…

Dynamical Systems · Mathematics 2022-04-12 Yunan Yang , Levon Nurbekyan , Elisa Negrini , Robert Martin , Mirjeta Pasha

In this paper, we deal with multiobjective composite optimization problems, where each objective function is a combination of smooth and possibly non-smooth functions. We first propose a parameter-dependent conditional gradient method to…

Optimization and Control · Mathematics 2024-10-25 Wang Chen , Liping Tang , Xinmin Yang