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Stochastic differential equations (SDEs) have been widely used to model real world random phenomena. Existing works mainly focus on the case where the time series is modeled by a single SDE, which might be restrictive for modeling time…

机器学习 · 计算机科学 2024-01-23 Zhongchang Sun , Yousef El-Laham , Svitlana Vyetrenko

Score-based generative models (SGMs) synthesize new data samples from Gaussian white noise by running a time-reversed Stochastic Differential Equation (SDE) whose drift coefficient depends on some probabilistic score. The discretization of…

机器学习 · 计算机科学 2022-08-11 Florentin Guth , Simon Coste , Valentin De Bortoli , Stephane Mallat

Conditional generative models map input variables to complex, high-dimensional distributions, enabling realistic sample generation in a diverse set of domains. A critical challenge with these models is the absence of calibrated uncertainty,…

机器学习 · 计算机科学 2026-02-02 Qidong Yang , Qianyu Julie Zhu , Jonathan Giezendanner , Youssef Marzouk , Stephen Bates , Sherrie Wang

We introduce a framework for joint grounded scene graph - image generation, a challenging task involving high-dimensional, multi-modal structured data. To effectively model this complex joint distribution, we adopt a factorized approach:…

计算机视觉与模式识别 · 计算机科学 2025-08-05 Bicheng Xu , Qi Yan , Renjie Liao , Lele Wang , Leonid Sigal

Diffusion models have been widely used in time series and spatio-temporal data, enhancing generative, inferential, and downstream capabilities. These models are applied across diverse fields such as healthcare, recommendation, climate,…

Pathogen genome data offers valuable structure for spatial models, but its utility is limited by incomplete sequencing coverage. We propose a probabilistic framework for inferring genetic distances between unsequenced cases and known…

Turbulence governs the transport of momentum, energy, and scalars in many geophysical and engineering flows. In large-eddy simulations (LES), parameterizing subgrid-scale (SGS) stresses remains a central challenge, as unresolved physical…

流体动力学 · 物理学 2025-10-02 Yu Cheng , Tianle Liu

Score-based generative modeling (SBGM) has achieved state-of-the-art performance in image generation, with the quality of generated images being highly dependent on the design of the forward (diffusion) process. Among these, models based on…

计算工程、金融与科学 · 计算机科学 2026-05-12 Sascha Holl , Jente Vandersanden , Gurprit Singh , Hans-Peter Seidel

This study introduces a training-free conditional diffusion model for learning unknown stochastic differential equations (SDEs) using data. The proposed approach addresses key challenges in computational efficiency and accuracy for modeling…

机器学习 · 计算机科学 2024-10-07 Yanfang Liu , Yuan Chen , Dongbin Xiu , Guannan Zhang

We all depend on mobility, and vehicular transportation affects the daily lives of most of us. Thus, the ability to forecast the state of traffic in a road network is an important functionality and a challenging task. Traffic data is often…

机器学习 · 计算机科学 2022-09-07 Zezhi Shao , Zhao Zhang , Wei Wei , Fei Wang , Yongjun Xu , Xin Cao , Christian S. Jensen

This work aims at making a comprehensive contribution in the general area of parametric inference for discretely observed diffusion processes. Established approaches for likelihood-based estimation invoke a time-discretisation scheme for…

统计方法学 · 统计学 2024-01-30 Yuga Iguchi , Alexandros Beskos , Matthew M. Graham

Uncertainty quantification is crucial to decision-making. A prominent example is probabilistic forecasting in numerical weather prediction. The dominant approach to representing uncertainty in weather forecasting is to generate an ensemble…

机器学习 · 计算机科学 2023-10-10 Lizao Li , Rob Carver , Ignacio Lopez-Gomez , Fei Sha , John Anderson

Non-uniform sampling arises when an experimenter does not have full control over the sampling characteristics of the process under investigation. Moreover, it is introduced intentionally in algorithms such as Bayesian optimization and…

机器学习 · 统计学 2020-07-03 Stijn de Waele

Graph-based spatio-temporal neural networks are effective to model the spatial dependency among discrete points sampled irregularly from unstructured grids, thanks to the great expressiveness of graph neural networks. However, these models…

机器学习 · 计算机科学 2022-04-22 Haitao Lin , Guojiang Zhao , Lirong Wu , Stan Z. Li

Diffusion models generate high-quality synthetic data. They operate by defining a continuous-time forward process which gradually adds Gaussian noise to data until fully corrupted. The corresponding reverse process progressively "denoises"…

Systems whose time evolutions are entirely deterministic can nevertheless be studied probabilistically, i.e. in terms of the evolution of probability distributions rather than individual trajectories. This approach is central to the…

动力系统 · 数学 2019-09-06 S. Richard Taylor

Diffusion models have become the de facto framework for generating new datasets. The core of these models lies in the ability to reverse a diffusion process in time. The goal of this manuscript is to explain, from a PDE perspective, how…

概率论 · 数学 2025-01-29 Fei Cao , Kimball Johnston , Thomas Laurent , Justin Le , Sébastien Motsch

Deepgenerative models havebecomeapromisingapproach for human motion prediction due to their ability to capture multimodal distributions and represent diverse human be haviors. However, generating predictions that are both di verse and…

计算机视觉与模式识别 · 计算机科学 2026-05-22 Lei Chu , Yuhuan Zhao

Time series forecasting is crucial for many fields, such as disaster warning, weather prediction, and energy consumption. The Transformer-based models are considered to have revolutionized the field of sequence modeling. However, the…

机器学习 · 计算机科学 2022-11-01 Junlong Tong , Liping Xie , Wankou Yang , Kanjian Zhang

Training robots in simulation requires diverse 3D scenes that reflect the specific challenges of downstream tasks. However, scenes that satisfy strict task requirements, such as high-clutter environments with plausible spatial arrangement,…

机器人学 · 计算机科学 2025-08-27 Nicholas Pfaff , Hongkai Dai , Sergey Zakharov , Shun Iwase , Russ Tedrake