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We develop a new continuous-time stochastic gradient descent method for optimizing over the stationary distribution of stochastic differential equation (SDE) models. The algorithm continuously updates the SDE model's parameters using an…

Machine Learning · Computer Science 2023-08-29 Ziheng Wang , Justin Sirignano

We propose to predict the future trajectories of observed agents (e.g., pedestrians or vehicles) by estimating and using their goals at multiple time scales. We argue that the goal of a moving agent may change over time, and modeling goals…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Chuhua Wang , Yuchen Wang , Mingze Xu , David J. Crandall

The ability to predict the future trajectories of traffic participants is crucial for the safe and efficient operation of autonomous vehicles. In this paper, a diffusion-based generative model for multi-agent trajectory prediction is…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Theodor Westny , Björn Olofsson , Erik Frisk

Learning from multiple domains is a primary factor that influences the generalization of a single unified robot system. In this paper, we aim to learn the trajectory prediction model by using broad out-of-domain data to improve its…

Robotics · Computer Science 2025-04-02 Jiange Yang , Haoyi Zhu , Yating Wang , Gangshan Wu , Tong He , Limin Wang

Neural Ordinary Differential Equations (NODEs) have proven successful in learning dynamical systems in terms of accurately recovering the observed trajectories. While different types of sparsity have been proposed to improve robustness, the…

Machine Learning · Computer Science 2022-10-27 Hananeh Aliee , Till Richter , Mikhail Solonin , Ignacio Ibarra , Fabian Theis , Niki Kilbertus

Diffusion-based generative models use stochastic differential equations (SDEs) and their equivalent ordinary differential equations (ODEs) to establish a smooth connection between a complex data distribution and a tractable prior…

Machine Learning · Computer Science 2024-08-25 Defang Chen , Zhenyu Zhou , Can Wang , Chunhua Shen , Siwei Lyu

Modern data analytics take advantage of ensemble learning and transfer learning approaches to tackle some of the most relevant issues in data analysis, such as lack of labeled data to use to train the analysis models, sparsity of the…

Predicting the future trajectories of surrounding vehicles based on their history trajectories is a critical task in autonomous driving. However, when small crafted perturbations are introduced to those history trajectories, the resulting…

Machine Learning · Computer Science 2023-03-10 Ruochen Jiao , Juyang Bai , Xiangguo Liu , Takami Sato , Xiaowei Yuan , Qi Alfred Chen , Qi Zhu

Long-horizon motion forecasting for multiple autonomous robots is challenging due to non-linear agent interactions, compounding prediction errors, and continuous-time evolution of dynamics. Learned dynamics of such a system can be useful in…

Robotics · Computer Science 2025-10-02 Shounak Sural , Charles Kekeh , Wenliang Liu , Federico Pecora , Mouhacine Benosman

Learning time-dependent partial differential equations (PDEs) that govern evolutionary observations is one of the core challenges for data-driven inference in many fields. In this work, we propose to capture the essential dynamics of…

Numerical Analysis · Mathematics 2021-09-07 Ricardo A. Delgadillo , Jingwei Hu , Haizhao Yang

Prior arts in the field of motion predictions for autonomous driving tend to focus on finding a trajectory that is close to the ground truth trajectory. Such problem formulations and approaches, however, frequently lead to loss of diversity…

Computer Vision and Pattern Recognition · Computer Science 2023-01-05 Sanmin Kim , Hyeongseok Jeon , Junwon Choi , Dongsuk Kum

Due to effective pattern mining and feature representation, neural forecasting models based on deep learning have achieved great progress. The premise of effective learning is to collect sufficient data. However, in time series forecasting,…

Machine Learning · Computer Science 2023-07-04 Yan Gao , Yan Wang , Qiang Wang

Forecasting future trajectories of agents in complex traffic scenes requires reliable and efficient predictions for all agents in the scene. However, existing methods for trajectory prediction are either inefficient or sacrifice accuracy.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-27 Görkay Aydemir , Adil Kaan Akan , Fatma Güney

Although neural networks have seen tremendous success as predictive models in a variety of domains, they can be overly confident in their predictions on out-of-distribution (OOD) data. To be viable for safety-critical applications, like…

Robotics · Computer Science 2022-11-17 Masha Itkina , Mykel J. Kochenderfer

Sparsity is a common issue in many trajectory datasets, including human mobility data. This issue frequently brings more difficulty to relevant learning tasks, such as trajectory imputation and prediction. Nowadays, little existing work…

Machine Learning · Computer Science 2023-01-13 Kyle K. Qin , Yongli Ren , Wei Shao , Brennan Lake , Filippo Privitera , Flora D. Salim

Forecasting the trajectory of pedestrians in shared urban traffic environments is still considered one of the challenging problems facing the development of autonomous vehicles (AVs). In the literature, this problem is often tackled using…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Khaled Saleh

We present MotionDiffuser, a diffusion based representation for the joint distribution of future trajectories over multiple agents. Such representation has several key advantages: first, our model learns a highly multimodal distribution…

Robotics · Computer Science 2023-06-06 Chiyu Max Jiang , Andre Cornman , Cheolho Park , Ben Sapp , Yin Zhou , Dragomir Anguelov

Diffusion models excel at creating images and videos thanks to their multimodal generative capabilities. These same capabilities have made diffusion models increasingly popular in robotics research, where they are used for generating robot…

Robotics · Computer Science 2025-04-29 Jean-Baptiste Bouvier , Kanghyun Ryu , Kartik Nagpal , Qiayuan Liao , Koushil Sreenath , Negar Mehr

Physical models with uncertain inputs are commonly represented as parametric partial differential equations (PDEs). That is, PDEs with inputs that are expressed as functions of parameters with an associated probability distribution.…

Numerical Analysis · Mathematics 2023-05-15 Benjamin M. Kent , Catherine E. Powell , David J. Silvester , Małgorzata J. Zimoń

The reconstruction and inference of stochastic dynamical systems from data is a fundamental task in inverse problems and statistical learning. While surrogate modeling advances computational methods to approximate these dynamics, standard…

Optimization and Control · Mathematics 2026-04-14 Nicole Tianjiao Yang
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