Probabilistic Forecasting for Dynamical Systems with Missing or Imperfect Data
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Abstract (arXiv)
The modeling of dynamical systems is essential in many fields, but applying machine learning techniques is often challenging due to incomplete or noisy data. This study introduces a variant of stochastic interpolation (SI) for probabilistic forecasting, estimating future states as distributions rather than single-point predictions. We explore its mathematical foundations and demonstrate its effectiveness on various dynamical systems, including the challenging WeatherBench dataset.
Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 28 of its 52 references that are in the map. First posted on arXiv 15 Mar 2025.
Builds on
28 of 52 references.
References · 28
- 2017Attention Is All You Needcited by 60,361
- 2020Denoising Diffusion Probabilistic Modelscited by 21,076
- 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,713
- 2021Swin Transformer: Hierarchical Vision Transformer using Shifted Windowscited by 12,139
- 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,255
- 2022Flow Matching for Generative Modelingcited by 5,702
- 2020Fourier Neural Operator for Parametric Partial Differential Equationscited by 2,908
- 2018An Empirical Evaluation of Generic Convolutional and Recurrent Networks for Sequence Modelingcited by 1,476
- 2015Convolutional LSTM Network: A Machine Learning Approach for Precipitation Nowcastingcited by 1,436
- 2022Building Normalizing Flows with Stochastic Interpolantscited by 995
- 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 939
- 2022FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operatorscited by 776
16 more
- 2021Score-based Generative Modeling in Latent Spacecited by 636
- 2015Unsupervised Learning of Video Representations using LSTMscited by 435
- 2023Analyzing and Improving the Training Dynamics of Diffusion Modelscited by 402
- 2019Sliced Score Matching: A Scalable Approach to Density and Score Estimationcited by 384
- 2023ClimaX: A foundation model for weather and climatecited by 337
- 2024Flow Matching Guide and Codecited by 301
- 2020WeatherBench: A benchmark dataset for data-driven weather forecastingcited by 275
- 2022GraphCast: Learning skillful medium-range global weather forecastingcited by 267
- 2019Diagnosing and Enhancing VAE Modelscited by 193
- 2021An Introduction to Deep Generative Modelingcited by 104
- 2024Consistency Flow Matching: Defining Straight Flows with Velocity Consistencycited by 104
- 2023Machine learning with data assimilation and uncertainty quantification for dynamical systems: a reviewcited by 75
- 2024Probabilistic Forecasting with Stochastic Interpolants and F"ollmer Processescited by 66
- 2023Memory-Efficient 3D Denoising Diffusion Models for Medical Image Processingcited by 30
- 2020CloudCast: A Satellite-Based Dataset and Baseline for Forecasting Cloudscited by 7
- 2024Advection Augmented Convolutional Neural Networkscited by 5
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