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Transformers have achieved state-of-the-art performance in numerous tasks. In this paper, we propose a continuous-time formulation of transformers. Specifically, we consider a dynamical system whose governing equation is parametrized by…

Machine Learning · Computer Science 2025-02-03 Kelvin Kan , Xingjian Li , Stanley Osher

Modeling dynamical systems is crucial across the science and engineering fields for accurate prediction, control, and decision-making. Recently, machine learning (ML) approaches, particularly neural ordinary differential equations (NODEs),…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Fatima Al-Janahi , Min-Seung Ko , Hao Zhu

A typical trajectory planner of autonomous driving commonly relies on predicting the future behavior of surrounding obstacles. Recently, deep learning technology has been widely adopted to design prediction models due to their impressive…

Artificial Intelligence · Computer Science 2022-07-29 Weitao Zhou , Zhong Cao , Yunkang Xu , Nanshan Deng , Xiaoyu Liu , Kun Jiang , Diange Yang

Predicting future trajectories of nearby objects, especially under occlusion, is a crucial task in autonomous driving and safe robot navigation. Prior works typically neglect to maintain uncertainty about occluded objects and only predict…

Recently, the tokens of images share the same static data flow in many dense networks. However, challenges arise from the variance among the objects in images, such as large variations in the spatial scale and difficulties of recognition…

Computer Vision and Pattern Recognition · Computer Science 2023-08-14 Yuchen Ma , Zhengcong Fei , Junshi Huang

As autonomous driving technology matures, safety and robustness of its key components, including trajectory prediction, is vital. Though real-world datasets, such as Waymo Open Motion, provide realistic recorded scenarios for model…

Robotics · Computer Science 2024-02-06 Benjamin Stoler , Ingrid Navarro , Meghdeep Jana , Soonmin Hwang , Jonathan Francis , Jean Oh

This paper presents Deep-PANTHER, a learning-based perception-aware trajectory planner for unmanned aerial vehicles (UAVs) in dynamic environments. Given the current state of the UAV, and the predicted trajectory and size of the obstacle,…

Robotics · Computer Science 2023-02-15 Jesus Tordesillas , Jonathan P. How

The objective of traffic prediction is to accurately forecast and analyze the dynamics of transportation patterns, considering both space and time. However, the presence of distribution shift poses a significant challenge in this field, as…

Machine Learning · Computer Science 2024-05-29 Zhonghang Li , Lianghao Xia , Yong Xu , Chao Huang

Anticipating the motion of other road users is crucial for automated driving systems (ADS), as it enables safe and informed downstream decision-making and motion planning. Unfortunately, contemporary learning-based approaches for motion…

Machine Learning · Computer Science 2023-09-21 MReza Alipour Sormoli , Amir Samadi , Sajjad Mozaffari , Konstantinos Koufos , Mehrdad Dianati , Roger Woodman

Trajectory prediction is crucial for autonomous driving, enabling vehicles to navigate safely by anticipating the movements of surrounding road users. However, current deep learning models often lack trustworthiness as their predictions can…

Autonomous transportation systems such as road vehicles or vessels require the consideration of the static and dynamic environment to dislocate without collision. Anticipating the behavior of an agent in a given situation is required to…

Machine Learning · Computer Science 2024-06-06 Kathrin Donandt , Dirk Söffker

Diffusion Transformers (DiTs) have demonstrated remarkable performance in visual generation tasks. However, their low inference speed limits their deployment in low-resource applications. Recent training-free approaches exploit the…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Xiaoliu Guan , Lielin Jiang , Hanqi Chen , Xu Zhang , Jiaxing Yan , Guanzhong Wang , Yi Liu , Zetao Zhang , Yu Wu

Transformers have been successfully applied to the visual tracking task and significantly promote tracking performance. The self-attention mechanism designed to model long-range dependencies is the key to the success of Transformers.…

Computer Vision and Pattern Recognition · Computer Science 2022-05-10 Zhihong Fu , Zehua Fu , Qingjie Liu , Wenrui Cai , Yunhong Wang

Trajectory prediction is an essential step in the pipeline of an autonomous vehicle. Inaccurate or inconsistent predictions regarding the movement of agents in its surroundings lead to poorly planned maneuvers and potentially dangerous…

Machine Learning · Computer Science 2025-07-04 Caio Azevedo , Lina Achaji , Stefano Sabatini , Nicola Poerio , Grzegorz Bartyzel , Sascha Hornauer , Fabien Moutarde

In the rapidly evolving field of autonomous driving, reliable prediction is pivotal for vehicular safety. However, trajectory predictions often deviate from actual paths, particularly in complex and challenging environments, leading to…

Robotics · Computer Science 2024-06-04 Wenbo Shao , Jiahui Xu , Wenhao Yu , Jun Li , Hong Wang

Accurate trajectory prediction of nearby vehicles is crucial for the safe motion planning of automated vehicles in dynamic driving scenarios such as highway merging. Existing methods cannot initiate prediction for a vehicle unless observed…

Robotics · Computer Science 2023-06-12 Sajjad Mozaffari , Mreza Alipour Sormoli , Konstantinos Koufos , Graham Lee , Mehrdad Dianati

Accurately predicting interactive road agents' future trajectories and planning a socially compliant and human-like trajectory accordingly are important for autonomous vehicles. In this paper, we propose a planning-centric prediction neural…

Robotics · Computer Science 2022-11-14 Jiawei Sun , Chengran Yuan , Shuo Sun , Zhiyang Liu , Terence Goh , Anthony Wong , Keng Peng Tee , Marcelo H. Ang

Network regularization is an effective tool for incorporating structural prior knowledge to learn coherent models over networks, and has yielded provably accurate estimates in applications ranging from spatial economics to neuroimaging…

Machine Learning · Computer Science 2020-06-02 Hongyuan You , Furkan Kocayusufoglu , Ambuj K. Singh

Deep learning models are widely used across computer vision and other domains. When working on the model induction, selecting the right architecture for a given dataset often relies on repetitive trial-and-error procedures. This procedure…

Machine Learning · Computer Science 2026-01-06 Yen-Chia Chen , Hsing-Kuo Pao , Hanjuan Huang

Autonomous driving requires reasoning about interactions with surrounding traffic. A prevailing approach is large-scale imitation learning on expert driving datasets, aimed at generalizing across diverse real-world scenarios. For online…