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Trajectory analysis is not only about obtaining movement data, but it is also of paramount importance in understanding the pattern in which an object moves through space and time, as well as in predicting its next move. Due to the…

Machine Learning · Computer Science 2025-06-26 Chanuka Don Samarasinghage , Dhruv Gulabani

Energy efficiency and motion smoothness are essential in trajectory planning for high-degree-of-freedom robots to ensure optimal performance and reduce mechanical wear. This paper presents a novel framework integrating sinusoidal trajectory…

Robotics · Computer Science 2025-03-18 Sajjad Hussain , Md Saad , Almas Baimagambetov , Khizer Saeed

Existing measures and representations for trajectories have two longstanding fundamental shortcomings, i.e., they are computationally expensive and they can not guarantee the `uniqueness' property of a distance function: dist(X,Y) = 0 if…

Machine Learning · Computer Science 2023-01-03 Yufan Wang , Kai Ming Ting , Yuanyi Shang

In unstructured environments, obstacles are diverse and lack lane markings, making trajectory planning for intelligent vehicles a challenging task. Traditional trajectory planning methods typically involve multiple stages, including path…

Robotics · Computer Science 2024-06-14 Sumin Zhang , Kuo Li , Rui He , Zhiwei Meng , Yupeng Chang , Xiaosong Jin , Ri Bai

This paper presents a framework capable of accurately and smoothly estimating position, heading, and velocity. Using this high-quality input, we propose a system based on Trajectron++, able to consistently generate precise trajectory…

Robotics · Computer Science 2025-02-14 Mikolaj Kliniewski , Jesse Morris , Ian R. Manchester , Viorela Ila

Predicting the future trajectories of on-road vehicles is critical for autonomous driving. In this paper, we introduce a novel prediction framework called PRIME, which stands for Prediction with Model-based Planning. Unlike recent…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Haoran Song , Di Luan , Wenchao Ding , Michael Yu Wang , Qifeng Chen

Robots and other intelligent systems navigating in complex dynamic environments should predict future actions and intentions of surrounding agents to reach their goals efficiently and avoid collisions. The dynamics of those agents strongly…

Learning the parameters of a (potentially partially observable) random field model is intractable in general. Instead of focussing on a single optimal parameter value we propose to treat parameters as dynamical quantities. We introduce an…

Machine Learning · Computer Science 2012-05-14 Max Welling

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

This paper aims to explore the problem of trajectory prediction in heterogeneous pedestrian zones, where social dynamics representation is a big challenge. Proposed is an end-to-end learning framework for prediction accuracy improvement…

Artificial Intelligence · Computer Science 2021-01-06 Ha Q. Ngo , Christoph Henke , Frank Hees

We propose a new method for modelling simple longitudinal data. We aim to do this in a flexible manner (without restrictive assumptions about the shapes of individual trajectories), while exploiting structural similarities between the…

Methodology · Statistics 2024-09-24 Helen Ogden

As a core part of autonomous driving systems, motion planning has received extensive attention from academia and industry. However, real-time trajectory planning capable of spatial-temporal joint optimization is challenged by nonholonomic…

Robotics · Computer Science 2023-04-11 Zhichao Han , Yuwei Wu , Tong Li , Lu Zhang , Liuao Pei , Long Xu , Chengyang Li , Changjia Ma , Chao Xu , Shaojie Shen , Fei Gao

Estimation of model parameters in a dynamic system can be significantly improved with the choice of experimental trajectory. For general, nonlinear dynamic systems, finding globally "best" trajectories is typically not feasible; however,…

Robotics · Computer Science 2017-09-12 Andrew D. Wilson , Jarvis A. Schultz , Todd D. Murphey

As hyperparameter tuning becomes increasingly costly at scale, efficient tuning methods are essential. Yet principles for guiding hyperparameter tuning remain limited. In this work, we seek to establish such principles by considering a…

Machine Learning · Computer Science 2025-09-30 Bingrui Li , Jiaxin Wen , Zhanpeng Zhou , Jun Zhu , Jianfei Chen

In this manuscript, we introduce the tensor-train reduced basis method, a novel projection-based reduced-order model designed for the efficient solution of parameterized partial differential equations. While reduced-order models are widely…

Numerical Analysis · Mathematics 2025-05-06 Nicholas Mueller , Yiran Zhao , Santiago Badia , Tiangang Cui

Trajectory datasets of road users have become more important in the last years for safety validation of highly automated vehicles. Several naturalistic trajectory datasets with each more than 10.000 tracks were released and others will…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Christoph Glasmacher , Robert Krajewski , Lutz Eckstein

The rapid expansion in the size of new datasets has created a need for fast and efficient parameter-learning techniques. Compressive learning is a framework that enables efficient processing by using random, non-linear features to project…

Machine Learning · Computer Science 2025-08-18 Daniel Mas Montserrat , David Bonet , Maria Perera , Xavier Giró-i-Nieto , Alexander G. Ioannidis

This paper studies the sparse identification problem of unknown sparse parameter vectors in stochastic dynamic systems. Firstly, a novel sparse identification algorithm is proposed, which can generate sparse estimates based on least squares…

Optimization and Control · Mathematics 2024-04-02 Ziming Wang , Xinghua Zhu

This paper introduces new parameter-free first-order methods for convex optimization problems in which the objective function exhibits H\"{o}lder smoothness. Inspired by the recently proposed distance-over-gradient (DOG) technique, we…

Optimization and Control · Mathematics 2025-10-28 Yijin Ren , Haifeng Xu , Qi Deng

Likelihood-free methods are useful for parameter estimation of complex models with intractable likelihood functions for which it is easy to simulate data. Such models are prevalent in many disciplines including genetics, biology, ecology…

Methodology · Statistics 2022-03-29 Christopher Drovandi , David T Frazier