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In this effort we propose a data-driven learning framework for reduced order modeling of fluid dynamics. Designing accurate and efficient reduced order models for nonlinear fluid dynamic problems is challenging for many practical…

Computational Physics · Physics 2018-12-05 Xuping Xie , Guannan Zhang , Clayton G. Webster

In analyzing and assessing the condition of dynamical systems, it is necessary to account for nonlinearity. Recent advances in computation have rendered previously computationally infeasible analyses readily executable on common computer…

Computational Engineering, Finance, and Science · Computer Science 2021-09-24 Thomas Simpson , Nikolaos Dervilis , Eleni Chatzi

Probabilistic models with hierarchical-latent-variable structures provide state-of-the-art results amongst non-autoregressive, unsupervised density-based models. However, the most common approach to training such models based on Variational…

Machine Learning · Statistics 2020-10-09 Benoit Gaujac , Ilya Feige , David Barber

Autoencoder (AEC) networks have recently emerged as a promising approach to perform unsupervised hyperspectral unmixing (HU) by associating the latent representations with the abundances, the decoder with the mixing model and the encoder…

Signal Processing · Electrical Eng. & Systems 2022-02-16 Haoqing Li , Ricardo Augusto Borsoi , Tales Imbiriba , Pau Closas , José Carlos Moreira Bermudez , Deniz Erdoğmuş

We present a finite element-inspired hypergraph neural network framework for predicting flow-induced vibrations in freely oscillating cylinders. The surrogate architecture transforms unstructured computational meshes into node-element…

Fluid Dynamics · Physics 2025-07-04 Shayan Heydari , Rui Gao , Rajeev K Jaiman

This study introduces a novel theoretical framework, the Stacked Autoencoder Evolution Hypothesis, which proposes that biological evolutionary systems operate through multi-layered self-encoding and decoding processes, analogous to stacked…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Hiroyuki Iizuka

We use machine learning to perform super-resolution analysis of grossly under-resolved turbulent flow field data to reconstruct the high-resolution flow field. Two machine-learning models are developed; namely the convolutional neural…

Fluid Dynamics · Physics 2019-05-08 Kai Fukami , Koji Fukagata , Kunihiko Taira

Data-driven reduced-order models based on autoencoders generally lack interpretability compared to classical methods such as the proper orthogonal decomposition. More interpretability can be gained by disentangling the latent variables and…

Machine Learning · Computer Science 2025-02-21 Henning Schwarz , Pyei Phyo Lin , Jens-Peter M. Zemke , Thomas Rung

In this paper, we consider the temporal pattern in traffic flow time series, and implement a deep learning model for traffic flow prediction. Detrending based methods decompose original flow series into trend and residual series, in which…

Machine Learning · Computer Science 2017-07-12 Xingyuan Dai , Rui Fu , Yilun Lin , Li Li , Fei-Yue Wang

Autonomous driving presents a complex challenge, which is usually addressed with artificial intelligence models that are end-to-end or modular in nature. Within the landscape of modular approaches, a bio-inspired neural circuit policy model…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Anass Bairouk , Mirjana Maras , Simon Herlin , Alexander Amini , Marc Blanchon , Ramin Hasani , Patrick Chareyre , Daniela Rus

We propose a self-supervised cluster-based hierarchical reduced-order modelling methodology to model and analyse the complex dynamics arising from a sequence of bifurcations for a two-dimensional incompressible flow of the unforced fluidic…

Fluid Dynamics · Physics 2022-02-02 Nan Deng , Bernd R. Noack , Marek Morzyński , Luc R. Pastur

In this paper, we propose $\text{HF}^2$-VAD, a Hybrid framework that integrates Flow reconstruction and Frame prediction seamlessly to handle Video Anomaly Detection. Firstly, we design the network of ML-MemAE-SC (Multi-Level Memory modules…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Zhian Liu , Yongwei Nie , Chengjiang Long , Qing Zhang , Guiqing Li

Variational Autoencoders are powerful models for unsupervised learning. However deep models with several layers of dependent stochastic variables are difficult to train which limits the improvements obtained using these highly expressive…

Machine Learning · Statistics 2016-05-30 Casper Kaae Sønderby , Tapani Raiko , Lars Maaløe , Søren Kaae Sønderby , Ole Winther

A novel convolutional autoencoder neural ODE (CAE-NODE) framework is proposed for a reduced-order model (ROM) of transient 2D counterflow flames, as an extension of AE-NODE methods in homogeneous reactive systems to spatially resolved…

Accurate prediction of intersection turning movements is essential for adaptive signal control but remains difficult due to the high volatility of directional flows. This study proposes HFD-TM (Hierarchical Flow-Decomposition for Turning…

Machine Learning · Computer Science 2026-04-13 Md Atiqur Rahman Mallick , Kamrul Hasan , Pulock Das , Liang Hong , S M Shazzad Rassel

An approximation model based on convolutional neural networks (CNNs) is proposed for flow field predictions. The CNN is used to predict the velocity and pressure field in unseen flow conditions and geometries given the pixelated shape of…

Fluid Dynamics · Physics 2019-06-14 Yaser Afshar , Saakaar Bhatnagar , Shaowu Pan , Karthik Duraisamy , Shailendra Kaushik

Model reduction for fluid flow simulation continues to be of great interest across a number of scientific and engineering fields. Here, we explore the use of Neural Ordinary Differential Equations, a recently introduced family of…

Machine Learning · Computer Science 2021-04-30 Sourav Dutta , Peter Rivera-Casillas , Matthew W. Farthing

The recent development of high-performance computing enables us to generate spatio-temporal high-resolution data of nonlinear dynamical systems and to analyze them for a deeper understanding of their complex nature. This trend can be found…

Fluid Dynamics · Physics 2024-03-25 Mitsuaki Matsuo , Kai Fukami , Taichi Nakamura , Masaki Morimoto , Koji Fukagata

The unsupervised Pretraining method has been widely used in aiding human action recognition. However, existing methods focus on reconstructing the already present frames rather than generating frames which happen in future.In this paper, We…

Computer Vision and Pattern Recognition · Computer Science 2017-12-13 Yu Runsheng , Shi Zhenyu , Ma Qiongxiong , Qing Laiyun

Hierarchical Bayesian methods can unify many related tasks (e.g. k-shot classification, conditional and unconditional generation) as inference within a single generative model. However, when this generative model is expressed as a powerful…

Machine Learning · Computer Science 2018-07-25 Luke B. Hewitt , Maxwell I. Nye , Andreea Gane , Tommi Jaakkola , Joshua B. Tenenbaum