English
Related papers

Related papers: SURGE: Approximation and Training Free Particle Fi…

200 papers

Vehicle trajectory prediction is crucial for advancing autonomous driving and advanced driver assistance systems (ADAS). Although deep learning-based approaches - especially those utilizing transformer-based and generative models - have…

Computer Vision and Pattern Recognition · Computer Science 2026-01-19 Junwei You , Rui Gan , Weizhe Tang , Zilin Huang , Jiaxi Liu , Zhuoyu Jiang , Haotian Shi , Keshu Wu , Keke Long , Sicheng Fu , Sikai Chen , Bin Ran

With the increasing penetration of high-frequency sensors across a number of biological and physical systems, the abundance of the resulting observations offers opportunities for higher statistical accuracy of down-stream estimates, but…

Optimization and Control · Mathematics 2020-11-06 Shushu Zhang , Vivak Patel

A novel strategy is proposed to improve the accuracy of state estimation and reconstruction from low-fidelity models and sparse data from sensors. This strategy combines ensemble Data Assimilation (DA) and Machine Learning (ML) tools,…

Fluid Dynamics · Physics 2025-01-31 Miguel M. Valero , Marcello Meldi

Many recent advances in sequential assimilation of data into nonlinear high-dimensional models are modifications to particle filters which employ efficient searches of a high-dimensional state space. In this work, we present a complementary…

Dynamical Systems · Mathematics 2020-12-10 John Maclean , Elaine T Spiller

Diffusion Probabilistic Models (DPMs) are powerful generative models that have achieved unparalleled success in a number of generative tasks. In this work, we aim to build inductive biases into the training and sampling of diffusion models…

Machine Learning · Computer Science 2025-03-14 Thomas Jiralerspong , Berton Earnshaw , Jason Hartford , Yoshua Bengio , Luca Scimeca

Diffusion models have emerged as powerful learned priors for solving inverse problems. However, current iterative solving approaches which alternate between diffusion sampling and data consistency steps typically require hundreds or…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Minwoo Kim , Hongki Lim

We investigate the ability to discover data assimilation (DA) schemes meant for chaotic dynamics with deep learning. The focus is on learning the analysis step of sequential DA, from state trajectories and their observations, using a simple…

This work integrates ensemble-based data assimilation (DA) with the energy-aware hybrid modeling approach, applied to a three-layer quasi-geostrophic (QG) model of the Gulf Stream flow. Building on prior DA success in the QG channel regime,…

Fluid Dynamics · Physics 2025-09-03 Igor Shevchenko , Dan Crisan

Diffusion generative models transform noise into data by inverting a process that progressively adds noise to data samples. Inspired by concepts from the renormalization group in physics, which analyzes systems across different scales, we…

Machine Learning · Computer Science 2024-10-04 Mathis Gerdes , Max Welling , Miranda C. N. Cheng

``Online" data assimilation (DA) is used to generate a new seasonal-resolution reanalysis dataset over the last millennium by combining forecasts from an ocean--atmosphere--sea-ice coupled linear inverse model with climate proxy records.…

Atmospheric and Oceanic Physics · Physics 2025-01-27 Zilu Meng , Gregory J. Hakim , Eric J. Steig

Continuous data assimilation (CDA) techniques, most notably the nudging approach proposed by Azouani, Olson, and Titi (AOT), have been shown to be very successful in deterministic frameworks for achieving long-time synchronization between…

Probability · Mathematics 2026-04-20 Kush Kinra

The composition of pretraining data is a key determinant of foundation models' performance, but there is no standard guideline for allocating a limited computational budget across different data sources. Most current approaches either rely…

Machine Learning · Computer Science 2024-10-16 Yiding Jiang , Allan Zhou , Zhili Feng , Sadhika Malladi , J. Zico Kolter

Training data attribution (TDA) should enable generative model interpretability and foster a variety of related downstream tasks. Nonetheless, current TDA approaches lack reliability and robustness, preventing their adoption in real-world…

Machine Learning · Computer Science 2026-05-19 Joan Serrà , Dipam Goswami , Fabio Morreale , Wei-Hsiang Liao , Yuki Mitsufuji

Data assimilation is a method that combines observations (that is, real world data) of a state of a system with model output for that system in order to improve the estimate of the state of the system and thereby the model output. The model…

Numerical Analysis · Mathematics 2020-05-18 Melina A. Freitag

Leveraging the visual priors of pre-trained text-to-image diffusion models offers a promising solution to enhance zero-shot generalization in dense prediction tasks. However, existing methods often uncritically use the original diffusion…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Jing He , Haodong Li , Wei Yin , Yixun Liang , Leheng Li , Kaiqiang Zhou , Hongbo Zhang , Bingbing Liu , Ying-Cong Chen

Bayesian filtering is a well-known problem that aims to estimate plausible states of a dynamical system from observations. Among existing approaches to solve this problem, particle filters are theoretically exact for non-linear dynamics and…

Machine Learning · Computer Science 2026-05-20 Thomas Savary , François Rozet , Gilles Louppe

Variational data assimilation optimizes for an initial state of a dynamical system such that its evolution fits observational data. The physical model can subsequently be evolved into the future to make predictions. This principle is a…

Machine Learning · Computer Science 2021-05-21 Thomas Frerix , Dmitrii Kochkov , Jamie A. Smith , Daniel Cremers , Michael P. Brenner , Stephan Hoyer

We present a particle filtering algorithm for stochastic models on infinite dimensional state space, making use of Girsanov perturbations to nudge the ensemble of particles into regions of higher likelihood. We argue that the optimal…

Numerical Analysis · Mathematics 2025-07-24 Maneesh Kumar Singh , Joshua Hope-Collins , Colin J. Cotter , Dan Crisan

Ambient diffusion is a recently proposed framework for training diffusion models using corrupted data. Both Ambient Diffusion and alternative SURE-based approaches for learning diffusion models from corrupted data resort to approximations…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Giannis Daras , Alexandros G. Dimakis , Constantinos Daskalakis

Recommendation systems often rely on implicit feedback, where only positive user-item interactions can be observed. Negative sampling is therefore crucial to provide proper negative training signals. However, existing methods tend to…

Information Retrieval · Computer Science 2026-01-06 Na Li , Fanghui Sun , Yan Zou , Yangfu Zhu , Xiatian Zhu , Ying Ma