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In end-to-end optimized learned image compression, it is standard practice to use a convolutional variational autoencoder with generalized divisive normalization (GDN) to transform images into a latent space. Recently, Operational Neural…

Image and Video Processing · Electrical Eng. & Systems 2021-05-31 M. Akın Yılmaz , Onur Keleş , Hilal Güven , A. Murat Tekalp , Junaid Malik , Serkan Kıranyaz

Deep metric learning has been demonstrated to be highly effective in learning semantic representation and encoding information that can be used to measure data similarity, by relying on the embedding learned from metric learning. At the…

Machine Learning · Statistics 2023-02-09 Haque Ishfaq , Assaf Hoogi , Daniel Rubin

We identify a strong equivalence between neural network based machine learning (ML) methods and the formulation of statistical data assimilation (DA), known to be a problem in statistical physics. DA, as used widely in physical and…

Machine Learning · Computer Science 2017-10-23 H. D. I. Abarbanel , P. J. Rozdeba , S. Shirman

Constraining a numerical weather prediction (NWP) model with observations via 4D variational (4D-Var) data assimilation is often difficult to implement in practice due to the need to develop and maintain a software-based tangent linear…

Machine Learning · Computer Science 2024-08-07 Kylen Solvik , Stephen G. Penny , Stephan Hoyer

A nonlinear ensemble-variational (EnVar) data assimilation is performed in order to estimate the unknown flow field over a slender cone at Mach-6, from isolated wall-pressure measurements. The cost functional accounts for discrepancies in…

Fluid Dynamics · Physics 2022-09-14 David A. Buchta , Stuart J. Laurence , Tamer A. Zaki

The generation of initial conditions via accurate data assimilation is crucial for weather forecasting and climate modeling. We propose DiffDA as a denoising diffusion model capable of assimilating atmospheric variables using predicted…

Computational Engineering, Finance, and Science · Computer Science 2024-06-11 Langwen Huang , Lukas Gianinazzi , Yuejiang Yu , Peter D. Dueben , Torsten Hoefler

Four-dimensional variational data assimilation (4DVar) has become an increasingly important tool in data science with wide applications in many engineering and scientific fields such as geoscience1-12, biology13 and the financial…

Data Analysis, Statistics and Probability · Physics 2018-05-28 Xiangjun Tian , Aiguo Dai , Xiaobing Feng , Hongqin Zhang , Rui Han , Lu Zhang

We present a sequential data assimilation algorithm based on the ensemble Kalman inversion to estimate the near-surface shear wave velocity profile and damping when heterogeneous data and a priori information that can be represented in…

Geophysics · Physics 2020-05-07 Elnaz Seylabi , Andrew Stuart , Domniki Asimaki

We combine conditional variational autoencoders (VAE) with adversarial censoring in order to learn invariant representations that are disentangled from nuisance/sensitive variations. In this method, an adversarial network attempts to…

Machine Learning · Computer Science 2018-05-22 Ye Wang , Toshiaki Koike-Akino , Deniz Erdogmus

This paper focuses on the state estimation problem in distributed sensor networks, where intermittent packet dropouts, corrupted observations, and unknown noise covariances coexist. To tackle this challenge, we formulate the joint…

Machine Learning · Statistics 2026-04-06 Peng Sun , Ruoyu Wang , Xue Luo

Inverse problems often involve matching observational data using a physical model that takes a large number of parameters as input. These problems tend to be under-constrained and require regularization to impose additional structure on the…

Computational Physics · Physics 2019-06-07 Daniel O'Malley , John K. Golden , Velimir V. Vesselinov

3D geometric contents are becoming increasingly popular. In this paper, we study the problem of analyzing deforming 3D meshes using deep neural networks. Deforming 3D meshes are flexible to represent 3D animation sequences as well as…

Graphics · Computer Science 2018-03-30 Qingyang Tan , Lin Gao , Yu-Kun Lai , Shihong Xia

Variational autoencoders (VAEs) rely on amortized variational inference to enable efficient posterior approximation, but this efficiency comes at the cost of a shared parametrization, giving rise to the amortization gap. We propose the…

Machine Learning · Computer Science 2026-04-21 Andrea Pollastro , Andrea Apicella , Francesco Isgrò , Roberto Prevete

Learning from an imbalanced distribution presents a major challenge in predictive modeling, as it generally leads to a reduction in the performance of standard algorithms. Various approaches exist to address this issue, but many of them…

Machine Learning · Computer Science 2024-12-11 Samuel Stocksieker , Denys Pommeret , Arthur Charpentier

Covariance localization is a critical component of ensemble-based data assimilation (DA) and many current localization schemes simply dampen correlations as a function of distance. Increases in computational resources, broadening scope of…

Data Analysis, Statistics and Probability · Physics 2025-08-27 Shay Gilpin , Matthias Morzfeld , Kevin K. Lin

A new form of the variational autoencoder (VAE) is proposed, based on the symmetric Kullback-Leibler divergence. It is demonstrated that learning of the resulting symmetric VAE (sVAE) has close connections to previously developed…

Machine Learning · Statistics 2017-10-23 Liqun Chen , Shuyang Dai , Yunchen Pu , Chunyuan Li , Qinliang Su , Lawrence Carin

I present a Variational Autoencoder (VAE) trained on collider physics data (specifically boosted $W$ jets), with reconstruction error given by an approximation to the Earth Movers Distance (EMD) between input and output jets. This VAE…

High Energy Physics - Phenomenology · Physics 2022-04-20 Jack H. Collins

We mathematically derive the sensitivity of data assimilation results for tsunami modelling, to perturbations in the observation operator. We consider results of variational data assimilation schemes on the one dimensional shallow water…

Numerical Analysis · Mathematics 2020-03-24 N. K. -R. Kevlahan , R. A. Khan

Data-driven machine learning (ML) models are reshaping weather forecasting and have shown the potential to accelerate and surpass traditional physics-based approaches, leading to a second revolution in the field after data assimilation.…

Machine Learning · Computer Science 2026-05-19 Hang Fan , Yi Xiao , Yongquan Qu , Juan Nathaniel , Fenghua Ling , Ben Fei , Lei Bai , Pierre Gentine

There is growing interest in data-driven weather prediction (DDWP), for example using convolutional neural networks such as U-NETs that are trained on data from models or reanalysis. Here, we propose 3 components to integrate with commonly…

Atmospheric and Oceanic Physics · Physics 2025-07-04 Ashesh Chattopadhyay , Mustafa Mustafa , Pedram Hassanzadeh , Eviatar Bach , Karthik Kashinath