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In this paper we present a new implementation of a Variational Autoencoder (VAE) for the calibration of sensors. We propose that the VAE can be used to calibrate sensor data by training the latent space as a calibration output. We discuss…

Machine Learning · Computer Science 2025-11-04 Travis Barrett , Amit Kumar Mishra , Joyce Mwangama

Time series anomaly detection(TSAD) is a critical task in signal processing field, ensuring the reliability of complex systems. Reconstruction-based methods dominate in TSAD. Among these methods, VAE-based methods have achieved promising…

Machine Learning · Computer Science 2026-02-04 Hanchang Cheng , Weimin Mu , Fan Liu , Weilin Zhu , Can Ma

Understanding the statistics of fluctuation driven flows in the boundary layer of magnetically confined plasmas is desired to accurately model the lifetime of the vacuum vessel components. Mirror Langmuir probes (MLPs) are a novel…

Plasma Physics · Physics 2019-01-23 R. Kube , F. M. Bianchi , D. Brunner , B. LaBombard

Atmospheric inverse modelling is a method for reconstructing historical fluxes of green-house gas between land and atmosphere, using observed atmospheric concentrations and an atmospheric tracer transport model. The small number of observed…

Applications · Statistics 2019-07-08 Unn Dahlen , Johan Linström , Marko Scholze

In this study, a deep learning based conditional density estimation technique known as conditional variational auto-encoder (CVAE) is used to fill gaps typically observed in particle image velocimetry (PIV) measurements in combustion…

Fluid Dynamics · Physics 2023-12-12 Shashank Yellapantula

In this paper, we study two aspects of the variational autoencoder (VAE): the prior distribution over the latent variables and its corresponding posterior. First, we decompose the learning of VAEs into layerwise density estimation, and…

Machine Learning · Computer Science 2017-10-09 Chin-Wei Huang , Ahmed Touati , Laurent Dinh , Michal Drozdzal , Mohammad Havaei , Laurent Charlin , Aaron Courville

Turbulent flow fields are characterized by extreme events that are statistically intermittent and carry a significant amount of energy and physical importance. To emulate these flows, we introduce the extreme variational Autoencoder (xVAE),…

Fluid Dynamics · Physics 2025-02-10 Likun Zhang , Kiran Bhaganagar , Christopher K. Wikle

Longitudinal datasets measured repeatedly over time from individual subjects, arise in many biomedical, psychological, social, and other studies. A common approach to analyse high-dimensional data that contains missing values is to learn a…

Machine Learning · Statistics 2021-04-21 Siddharth Ramchandran , Gleb Tikhonov , Kalle Kujanpää , Miika Koskinen , Harri Lähdesmäki

The Gaussian process latent variable model (GP-LVM) provides a flexible approach for non-linear dimensionality reduction that has been widely applied. However, the current approach for training GP-LVMs is based on maximum likelihood, where…

Machine Learning · Statistics 2014-09-09 Andreas C. Damianou , Michalis K. Titsias , Neil D. Lawrence

Gaussian processes (GPs), implemented through multivariate Gaussian distributions for a finite collection of data, are the most popular approach in small-area spatial statistical modelling. In this context they are used to encode…

Machine Learning · Computer Science 2023-04-11 Elizaveta Semenova , Yidan Xu , Adam Howes , Theo Rashid , Samir Bhatt , Swapnil Mishra , Seth Flaxman

The electrocardiogram (ECG) is an inexpensive and widely available tool for cardiac assessment. Despite its standardized format and small file size, the high complexity and inter-individual variability of ECG signals (typically a…

Machine Learning · Computer Science 2025-08-04 Christopher Harvey , Sumaiya Shomaji , Zijun Yao , Amit Noheria

Marine controlled-source electromagnetic (CSEM) method has proved its potential in detecting highly resistive hydrocarbon bearing formations. A novel frequency domain CSEM inversion approach using fictitious wave domain time stepping…

Numerical Analysis · Mathematics 2023-09-06 Pengliang Yang

Predicting customers' long-term revenue from sparse and irregular transaction data is central to marketing resource allocation in non-contractual settings, yet existing approaches face a trade-off. Traditional probabilistic customer base…

Machine Learning · Statistics 2026-04-27 Jeffrey Näf , Riana Valera Mbelson , Markus Meierer

We introduce MGP-VAE (Multi-disentangled-features Gaussian Processes Variational AutoEncoder), a variational autoencoder which uses Gaussian processes (GP) to model the latent space for the unsupervised learning of disentangled…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Sarthak Bhagat , Shagun Uppal , Zhuyun Yin , Nengli Lim

We present a latent diffusion-based differentiable inversion method (LD-DIM) for PDE-constrained inverse problems involving high-dimensional spatially distributed coefficients. LD-DIM couples a pretrained latent diffusion prior with an…

Numerical Analysis · Mathematics 2025-12-30 Zihan Lin , QiZhi He

Variational autoencoders (VAE) often use Gaussian or category distribution to model the inference process. This puts a limit on variational learning because this simplified assumption does not match the true posterior distribution, which is…

Machine Learning · Computer Science 2017-02-28 Ke Sun , Xiangliang Zhang

We propose a novel Particle Flow Map (PFM) method to enable accurate long-range advection for incompressible fluid simulation. The foundation of our method is the observation that a particle trajectory generated in a forward simulation…

Graphics · Computer Science 2024-05-17 Junwei Zhou , Duowen Chen , Molin Deng , Yitong Deng , Yuchen Sun , Sinan Wang , Shiying Xiong , Bo Zhu

Variational autoencoders allow to learn a lower-dimensional latent space based on high-dimensional input/output data. Using video clips as input data, the encoder may be used to describe the movement of an object in the video without ground…

Machine Learning · Computer Science 2023-05-17 Thomas Beckers , Qirui Wu , George J. Pappas

As core thermal power generation equipment, steam turbines incur significant expenses and adverse effects on operation when facing interruptions like downtime, maintenance, and damage. Accurate anomaly detection is the prerequisite for…

Machine Learning · Computer Science 2024-11-19 Weiming Xu , Peng Zhang

High-resolution climate simulations are valuable for understanding climate change impacts. This has motivated use of regional convection-permitting climate models (CPMs), but these are very computationally expensive. We present a…

Atmospheric and Oceanic Physics · Physics 2026-02-05 Henry Addison , Elizabeth Kendon , Suman Ravuri , Laurence Aitchison , Peter AG Watson