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Determinantal Point Processes (DPPs) are elegant probabilistic models of repulsion and diversity over discrete sets of items. But their applicability to large sets is hindered by expensive cubic-complexity matrix operations for basic tasks…

Machine Learning · Computer Science 2016-05-31 Chengtao Li , Stefanie Jegelka , Suvrit Sra

We propose discrete determinantal point processes (DPPs) for priors on the model parameter in Bayesian variable selection. By our variable selection method, collinear predictors are less likely to be selected simultaneously because of the…

Methodology · Statistics 2021-05-26 Mutsuki Kojima , Fumiyasu Komaki

In this paper, we introduce a novel approach for autonomous driving trajectory generation by harnessing the complementary strengths of diffusion probabilistic models (a.k.a., diffusion models) and transformers. Our proposed framework,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Chen Yang , Yangfan He , Aaron Xuxiang Tian , Dong Chen , Jianhui Wang , Tianyu Shi , Arsalan Heydarian , Pei Liu

Predicting the future states of surrounding traffic participants and planning a safe, smooth, and socially compliant trajectory accordingly is crucial for autonomous vehicles. There are two major issues with the current autonomous driving…

Robotics · Computer Science 2023-02-21 Zhiyu Huang , Haochen Liu , Jingda Wu , Chen Lv

Trajectory Prediction of dynamic objects is a widely studied topic in the field of artificial intelligence. Thanks to a large number of applications like predicting abnormal events, navigation system for the blind, etc. there have been many…

Machine Learning · Computer Science 2017-05-29 Daksh Varshneya , G. Srinivasaraghavan

Accurate trajectory prediction is fundamental to autonomous driving, as it underpins safe motion planning and collision avoidance in complex environments. However, existing benchmark datasets suffer from a pronounced long-tail distribution…

Robotics · Computer Science 2025-10-06 Ruining Yang , Yi Xu , Yixiao Chen , Yun Fu , Lili Su

Trajectory prediction is critical for autonomous driving, enabling safe and efficient planning in dense, dynamic traffic. Most existing methods optimize prediction accuracy under fixed-length observations. However, real-world driving often…

Robotics · Computer Science 2026-03-12 Hao Zhou , Lu Qi , Jason Li , Jie Zhang , Yi Liu , Xu Yang , Mingyu Fan , Fei Luo

Accurate vehicle trajectory prediction is essential for ensuring safety and efficiency in fully autonomous driving systems. While existing methods primarily focus on modeling observed motion patterns and interactions with other vehicles,…

Machine Learning · Computer Science 2025-07-15 Xinyi Ning , Zilin Bian , Dachuan Zuo , Semiha Ergan

Determinantal point processes (DPPs) are elegant probabilistic models of repulsion that arise in quantum physics and random matrix theory. In contrast to traditional structured models like Markov random fields, which become intractable and…

Machine Learning · Statistics 2013-01-11 Alex Kulesza , Ben Taskar

Accurate prediction of human or vehicle trajectories with good diversity that captures their stochastic nature is an essential task for many applications. However, many trajectory prediction models produce unreasonable trajectory samples…

Computer Vision and Pattern Recognition · Computer Science 2025-02-10 Qingze , Liu , Danrui Li , Samuel S. Sohn , Sejong Yoon , Mubbasir Kapadia , Vladimir Pavlovic

Determinantal point processes (DPPs) are probability models over subsets of a ground set that favor diverse selections while suppressing redundancy. That is, they tend to assign higher likelihood to collections whose elements complement one…

Optimization and Control · Mathematics 2026-04-13 Mohamad H. Kazma , Ahmad F. Taha

Coordination recognition and subtle pattern prediction of future trajectories play a significant role when modeling interactive behaviors of multiple agents. Due to the essential property of uncertainty in the future evolution,…

Robotics · Computer Science 2019-05-03 Jiachen Li , Hengbo Ma , Wei Zhan , Masayoshi Tomizuka

We present a numerical method to learn an accurate predictive model for an unknown stochastic dynamical system from its trajectory data. The method seeks to approximate the unknown flow map of the underlying system. It employs the idea of…

Machine Learning · Computer Science 2024-12-24 Zhongshu Xu , Yuan Chen , Qifan Chen , Dongbin Xiu

Determinantal point processes (DPPs) have received significant attention as an elegant probabilistic model for discrete subset selection. Most prior work on DPP learning focuses on maximum likelihood estimation (MLE). While efficient and…

Machine Learning · Computer Science 2020-11-20 Lucas Anquetil , Mike Gartrell , Alain Rakotomamonjy , Ugo Tanielian , Clément Calauzènes

Given a visual history, multiple future outcomes for a video scene are equally probable, in other words, the distribution of future outcomes has multiple modes. Multimodality is notoriously hard to handle by standard regressors or…

Computer Vision and Pattern Recognition · Computer Science 2017-05-08 Katerina Fragkiadaki , Jonathan Huang , Alex Alemi , Sudheendra Vijayanarasimhan , Susanna Ricco , Rahul Sukthankar

Online feature selection has been an active research area in recent years. We propose a novel diverse online feature selection method based on Determinantal Point Processes (DPP). Our model aims to provide diverse features which can be…

Machine Learning · Statistics 2019-04-26 Chapman Siu , Richard Yi Da Xu

Sampling trajectories from a distribution followed by ranking them based on a specified cost function is a common approach in autonomous driving. Typically, the sampling distribution is hand-crafted (e.g a Gaussian, or a grid). Recently,…

Robotics · Computer Science 2024-04-26 Simon Idoko , Basant Sharma , Arun Kumar Singh

Learning complex trajectories from demonstrations in robotic tasks has been effectively addressed through the utilization of Dynamical Systems (DS). State-of-the-art DS learning methods ensure stability of the generated trajectories;…

Robotics · Computer Science 2024-12-10 Andreas Sochopoulos , Michael Gienger , Sethu Vijayakumar

Trajectory and intention prediction of traffic participants is an important task in automated driving and crucial for safe interaction with the environment. In this paper, we present a new approach to vehicle trajectory prediction based on…

Computer Vision and Pattern Recognition · Computer Science 2018-06-15 Jannik Quehl , Haohao Hu , Sascha Wirges , Martin Lauer

Being able to anticipate the motion of surrounding agents is essential for the safe operation of autonomous driving systems in dynamic situations. While various methods have been proposed for trajectory prediction, the current evaluation…

Robotics · Computer Science 2025-12-16 Longchao Da , David Isele , Hua Wei , Manish Saroya