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This work presents a reformulation of the recently proposed Wasserstein autoencoder framework on a non-Euclidean manifold, the Poincar\'e ball model of the hyperbolic space. By assuming the latent space to be hyperbolic, we can use its…

Machine Learning · Computer Science 2020-03-18 Ivan Ovinnikov

Autoencoder techniques find increasingly common use in reduced order modeling as a means to create a latent space. This reduced order representation offers a modular data-driven modeling approach for nonlinear dynamical systems when…

Fluid Dynamics · Physics 2021-12-15 Shady E. Ahmed , Omer San , Adil Rasheed , Traian Iliescu

In many practical fluid dynamics experiments, measuring variables such as velocity and pressure is possible only at a limited number of sensor locations, \textcolor{black}{for a few two-dimensional planes, or for a small 3D domain in the…

Fluid Dynamics · Physics 2023-07-14 Ali Girayhan Özbay , Sylvain Laizet

Autoencoders are neural network formulations where the input and output of the network are identical and the goal is to identify the hidden representation in the provided datasets. Generally, autoencoders project the data nonlinearly onto a…

Signal Processing · Electrical Eng. & Systems 2019-07-10 Debjani Bhowick , Deepak K. Gupta , Saumen Maiti , Uma Shankar

With the development of urbanization, the scale of urban road network continues to expand, especially in some Asian countries. Short-term traffic state prediction is one of the bases of traffic management and control. Constrained by the…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Pengfei Xu , Weifeng Li , Chenjie Xu , Jian Li

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

Computational design optimization in fluid dynamics usually requires to solve non-linear partial differential equations numerically. In this work, we explore a Bayesian optimization approach to minimize an object's drag coefficient in…

Computational Engineering, Finance, and Science · Computer Science 2017-12-12 Stephan Eismann , Stefan Bartzsch , Stefano Ermon

We present a single-layer feedforward artificial neural network architecture trained through a supervised learning approach for the deconvolution of flow variables from their coarse grained computations such as those encountered in large…

Fluid Dynamics · Physics 2018-01-29 Romit Maulik , Omer San

Time-dependent flow fields are typically generated by a computational fluid dynamics (CFD) method, which is an extremely time-consuming process. However, the latent relationship between the flow fields is governed by the Navier-Stokes…

Fluid Dynamics · Physics 2024-04-11 Heming Bai , Zhicheng Wang , Xuesen Chu , Jian Deng , Xin Bian

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

This work delineates a hybrid predictive framework configured as a coarse-grained surrogate for reconstructing unsteady fluid flows around multiple cylinders of diverse configurations. The presence of cylinders of arbitrary nature causes…

Fluid Dynamics · Physics 2023-11-07 Shuvayan Brahmachary , Nils Thuerey

We present a systematic investigation of convolutional autoencoders for the reduced-order representation of three-dimensional interfacial multiphase flows. Focusing on the reconstruction of phase indicators, we examine how the choice of…

Computational Engineering, Finance, and Science · Computer Science 2025-12-29 Murray Cutforth , Shahab Mirjalili

Recent advances in large language models have shown that autoregressive modeling can generate complex and novel sequences that have many real-world applications. However, these models must generate outputs autoregressively, which becomes…

Machine Learning · Computer Science 2023-06-05 Asier Mujika

Scene flow represents the 3D motion of every point in the dynamic environments. Like the optical flow that represents the motion of pixels in 2D images, 3D motion representation of scene flow benefits many applications, such as autonomous…

Computer Vision and Pattern Recognition · Computer Science 2021-06-09 Guangming Wang , Xinrui Wu , Zhe Liu , Hesheng Wang

Forecasting the future states of surrounding traffic participants is a crucial capability for autonomous vehicles. The recently proposed occupancy flow field prediction introduces a scalable and effective representation to jointly predict…

Computer Vision and Pattern Recognition · Computer Science 2023-07-07 Haochen Liu , Zhiyu Huang , Chen Lv

Successfully training Variational Autoencoders (VAEs) with a hierarchy of discrete latent variables remains an area of active research. Vector-Quantised VAEs are a powerful approach to discrete VAEs, but naive hierarchical extensions can be…

Machine Learning · Statistics 2021-02-05 Matthew Willetts , Xenia Miscouridou , Stephen Roberts , Chris Holmes

In this work, we propose a novel convolutional autoencoder based architecture to generate subspace specific feature representations that are best suited for classification task. The class-specific data is assumed to lie in low dimensional…

Computer Vision and Pattern Recognition · Computer Science 2021-05-20 Krishan Sharma , Shikha Gupta , Renu Rameshan

A data-driven parametric model order reduction (MOR) method using a deep artificial neural network is proposed. The present network, which is the least-squares hierarchical variational autoencoder (LSH-VAE), is capable of performing…

Machine Learning · Computer Science 2023-07-14 SiHun Lee , Sangmin Lee , Kijoo Jang , Haeseong Cho , SangJoon Shin

Computational fluid dynamics (CFD) simulations of complex fluid flows in energy systems are prohibitively expensive due to strong nonlinearities and multiscale-multiphysics interactions. In this work, we present a transformer-based modeling…

Fluid Dynamics · Physics 2026-04-06 Kiran Yalamanchi , Shivam Barwey , Ibrahim Jarrah , Pinaki Pal

With the advancement of neural networks, there has been a notable increase, both in terms of quantity and variety, in research publications concerning the application of autoencoders to reduced-order models. We propose a polytopic…

Machine Learning · Computer Science 2024-10-30 Jan Heiland , Yongho Kim
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