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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

Motion prediction is a challenging problem in autonomous driving as it demands the system to comprehend stochastic dynamics and the multi-modal nature of real-world agent interactions. Diffusion models have recently risen to prominence, and…

Robotics · Computer Science 2024-05-03 Jiahui Li , Tianle Shen , Zekai Gu , Jiawei Sun , Chengran Yuan , Yuhang Han , Shuo Sun , Marcelo H. Ang

Accurate long-range forecasting of the El \Nino-Southern Oscillation (ENSO) is vital for global climate prediction and disaster risk management. Yet, limited understanding of ENSO's physical mechanisms constrains both numerical and deep…

Renewable resources are strongly dependent on local and large-scale weather situations. Skillful subseasonal to seasonal (S2S) forecasts -- beyond two weeks and up to two months -- can offer significant socioeconomic advantages to the…

Machine Learning · Computer Science 2025-04-01 Maximilian Springenberg , Noelia Otero , Yuxin Xue , Jackie Ma

Analog forecasting is a nonparametric technique introduced by Lorenz in 1969 which predicts the evolution of states of a dynamical system (or observables defined on the states) by following the evolution of the sample in a historical record…

Data Analysis, Statistics and Probability · Physics 2016-03-09 Zhizhen Zhao , Dimitrios Giannakis

Progressive diseases worsen over time and are characterised by monotonic change in features that track disease progression. Here we connect ideas from two formerly separate methodologies -- event-based and hidden Markov modelling -- to…

Machine Learning · Computer Science 2021-06-07 Peter A. Wijeratne , Daniel C. Alexander

We present a novel methodology based on filtered data and moving averages for estimating effective dynamics from observations of multiscale systems. We show in a semi-parametric framework of the Langevin type that our approach is…

Numerical Analysis · Mathematics 2022-01-25 Giacomo Garegnani , Andrea Zanoni

Estimation of parameters of a diffusion based on discrete time observations poses a difficult problem due to the lack of a closed form expression for the likelihood. From a Bayesian computational perspective it can be casted as a missing…

Computation · Statistics 2017-05-30 Frank van der Meulen , Moritz Schauer

In autonomous driving (AD), accurately predicting changes in the environment can effectively improve safety and comfort. Due to complex interactions among traffic participants, however, it is very hard to achieve accurate prediction for a…

Machine Learning · Computer Science 2020-12-29 Ershad Banijamali , Mohsen Rohani , Elmira Amirloo , Jun Luo , Pascal Poupart

We focus on variational inference in dynamical systems where the discrete time transition function (or evolution rule) is modelled by a Gaussian process. The dominant approach so far has been to use a factorised posterior distribution,…

Machine Learning · Statistics 2018-12-17 Alessandro Davide Ialongo , Mark van der Wilk , James Hensman , Carl Edward Rasmussen

Offline decision-making via diffusion models often produces trajectories that are misaligned with system dynamics, limiting their reliability for control. We propose Model Predictive Diffuser (MPDiffuser), a compositional diffusion…

Robotics · Computer Science 2026-02-02 Haldun Balim , Na Li , Yilun Du

A new probabilistic post-processing method for wind vectors is presented in a distributional regression framework employing the bivariate Gaussian distribution. In contrast to previous studies all parameters of the distribution are…

Applications · Statistics 2019-07-26 Moritz N. Lang , Georg J. Mayr , Reto Stauffer , Achim Zeileis

The recent revolution in data-driven methods for weather forecasting has lead to a fragmented landscape of complex, bespoke architectures and training strategies, obscuring the fundamental drivers of forecast accuracy. Here, we demonstrate…

In this work we introduce a semi-parametric Bayesian change-point model, defining its time dynamic as a latent Markov process based on the Dirichlet process. We treat the number of change point as a random variable and we estimate it during…

Computation · Statistics 2018-08-28 Gianluca Mastrantonio

Active multi-target tracking requires a mobile robot to balance exploration for undetected targets with exploitation of uncertain tracked ones. Diffusion policies have emerged as a powerful approach for capturing diverse behavioral…

Robotics · Computer Science 2026-04-07 Haotian Xiang , Qin Lu , Yaakov Bar-Shalom

We consider a distributionally robust Partially Observable Markov Decision Process (DR-POMDP), where the distribution of the transition-observation probabilities is unknown at the beginning of each decision period, but their realizations…

Optimization and Control · Mathematics 2020-12-09 Hideaki Nakao , Ruiwei Jiang , Siqian Shen

We propose a framework for probabilistic forecasting of dynamical systems based on generative modeling. Given observations of the system state over time, we formulate the forecasting problem as sampling from the conditional distribution of…

Machine Learning · Computer Science 2024-08-29 Yifan Chen , Mark Goldstein , Mengjian Hua , Michael S. Albergo , Nicholas M. Boffi , Eric Vanden-Eijnden

Long-term human trajectory prediction is a challenging yet critical task in robotics and autonomous systems. Prior work that studied how to predict accurate short-term human trajectories with only unimodal features often failed in long-term…

Robotics · Computer Science 2024-05-31 Zhitian Zhang , Anjian Li , Angelica Lim , Mo Chen

Predicting the behavior of AI-driven agents is particularly challenging without a preexisting model. In our paper, we address this by treating AI agents as nonlinear dynamical systems and adopting a probabilistic perspective to predict…

Artificial Intelligence · Computer Science 2024-06-06 Shiqi Zhang , Darshan Gadginmath , Fabio Pasqualetti

We propose an unsupervised anomaly detection approach based on a physics-informed diffusion model for multivariate time series data. Over the past years, diffusion model has demonstrated its effectiveness in forecasting, imputation,…

Machine Learning · Computer Science 2025-08-18 Juhi Soni , Markus Lange-Hegermann , Stefan Windmann