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Over the past few years, deep learning methods have proved to be of great interest for the computational fluid dynamics community, especially when used as surrogate models, either for flow reconstruction, turbulence modeling, or for the…

Fluid Dynamics · Physics 2021-10-04 Junfeng Chen , Jonathan Viquerat , Frederic Heymes , Elie Hachem

In this paper, we prove the representation defects of a cascaded convolutional decoder network, considering the capacity of representing different frequency components of an input sample. We conduct the discrete Fourier transform on each…

Machine Learning · Computer Science 2023-12-04 Ling Tang , Wen Shen , Zhanpeng Zhou , Yuefeng Chen , Quanshi Zhang

We study an elliptic interface problem with discontinuous diffusion coefficients on unfitted meshes using the CutFEM method. Our main contribution is the reconstruction of conservative fluxes from the CutFEM solution and their use in a…

Numerical Analysis · Mathematics 2025-07-11 Daniela Capatina , Aimene Gouasmi , Cuiyu He

A rapidly growing area of research is the use of machine learning approaches such as autoencoders for dimensionality reduction of data and models in scientific applications. We show that the canonical formulation of autoencoders suffers…

Machine Learning · Computer Science 2022-07-28 Andrey A. Popov , Arash Sarshar , Austin Chennault , Adrian Sandu

Autoencoders are a widespread tool in machine learning to transform high-dimensional data into a lowerdimensional representation which still exhibits the essential characteristics of the input. The encoder provides an embedding from the…

Machine Learning · Computer Science 2021-04-28 Juliane Braunsmann , Marko Rajković , Martin Rumpf , Benedikt Wirth

This paper advocates the use of implicit surface representation in autoencoder-based self-supervised 3D representation learning. The most popular and accessible 3D representation, i.e., point clouds, involves discrete samples of the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Siming Yan , Zhenpei Yang , Haoxiang Li , Chen Song , Li Guan , Hao Kang , Gang Hua , Qixing Huang

This paper investigates the use of autoencoders and machine learning methods for detecting and analyzing quantum phase transitions in the Two-Component Bose-Hubbard Model. By leveraging deep learning models such as autoencoders, we…

Quantum Gases · Physics 2024-09-30 Iftekher S. Chowdhury , Binay Prakash Akhouri , Shah Haque , Eric Howard

A convolutional encoder-decoder-based transformer model is proposed for autoregressively training on spatio-temporal data of turbulent flows. The prediction of future fluid flow fields is based on the previously predicted fluid flow field…

Fluid Dynamics · Physics 2023-03-31 Aakash Patil , Jonathan Viquerat , Elie Hachem

We present a convolutional autoencoder that enables high fidelity volumetric reconstructions of human performance to be captured from multi-view video comprising only a small set of camera views. Our method yields similar end-to-end…

Computer Vision and Pattern Recognition · Computer Science 2018-07-11 Andrew Gilbert , Marco Volino , John Collomosse , Adrian Hilton

Image compression and reconstruction are crucial for various digital applications. While contemporary neural compression methods achieve impressive compression rates, the adoption of such technology has been largely hindered by the…

Machine Learning · Computer Science 2025-10-06 Ethan G. Rogers , Cheng Wang

The outstanding performance of deep learning in various fields has been a fundamental query, which can be potentially examined using information theory that interprets the learning process as the transmission and compression of information.…

Machine Learning · Computer Science 2021-07-28 Sungyeop Lee , Junghyo Jo

Accurate representations of 3D faces are of paramount importance in various computer vision and graphics applications. However, the challenges persist due to the limitations imposed by data discretization and model linearity, which hinder…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Mingwu Zheng , Haiyu Zhang , Hongyu Yang , Liming Chen , Di Huang

Deep learning provides a versatile suite of methods for extracting structured information from complex datasets, enabling deeper understanding of underlying fluid dynamic phenomena. The field of turbulence modeling, in particular, benefits…

Machine Learning · Computer Science 2025-07-31 Anuraj Maurya

We present Deep Compression Autoencoder (DC-AE), a new family of autoencoder models for accelerating high-resolution diffusion models. Existing autoencoder models have demonstrated impressive results at a moderate spatial compression ratio…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Junyu Chen , Han Cai , Junsong Chen , Enze Xie , Shang Yang , Haotian Tang , Muyang Li , Yao Lu , Song Han

Understanding intraventricular hemodynamics requires compact and physically interpretable representations of the underlying flow structures, as characteristic flow patterns are closely associated with cardiovascular conditions and can…

Airfoil aerodynamic optimization based on single-point design may lead to poor off-design behaviors. Multipoint optimization that considers the off-design flow conditions is usually applied to improve the robustness and expand the flight…

Fluid Dynamics · Physics 2022-09-21 Yunjia Yang , Runze Li , Yufei Zhang , Haixin Chen

We use autoencoders to create low-dimensional embeddings of underlying patient phenotypes that we hypothesize are a governing factor in determining how different patients will react to different interventions. We compare the performance of…

Machine Learning · Computer Science 2017-03-22 Harini Suresh , Peter Szolovits , Marzyeh Ghassemi

Deep learning is playing an instrumental role in the design of the next generation of communication systems. In this letter, we address the massive MIMO interconnect's bandwidth constraint relaxation using autoencoders. The autoencoder is…

Signal Processing · Electrical Eng. & Systems 2019-09-20 Messaoud Ahmed Ouameur , Daniel Massicotte

Classical nonlinear dimensionality reduction (NLDR) techniques like t-SNE, Isomap, and LLE excel at creating low-dimensional embeddings for data visualization but fundamentally lack the ability to map these embeddings back to the original…

Machine Learning · Computer Science 2025-10-16 Riddhish Thakare , Kingdom Mutala Akugri

Inspired by the success of deep learning techniques in the physical and chemical sciences, we apply a modification of an autoencoder type deep neural network to the task of dimension reduction of molecular dynamics data. We can show that…

Machine Learning · Statistics 2018-04-04 Christoph Wehmeyer , Frank Noé
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