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We develop data-driven methods incorporating geometric and topological information to learn parsimonious representations of nonlinear dynamics from observations. The approaches learn nonlinear state-space models of the dynamics for general…

机器学习 · 计算机科学 2025-03-28 Ryan Lopez , Paul J. Atzberger

Solving large complex partial differential equations (PDEs), such as those that arise in computational fluid dynamics (CFD), is a computationally expensive process. This has motivated the use of deep learning approaches to approximate the…

机器学习 · 计算机科学 2020-08-18 Filipe de Avila Belbute-Peres , Thomas D. Economon , J. Zico Kolter

The latent space of generative modeling is long dominated by the VAE encoder. The latents from the pretrained representation encoders (e.g., DINO, SigLIP, MAE) are previously considered inappropriate for generative modeling. Recently, RAE…

人工智能 · 计算机科学 2026-04-03 Hu Yu , Hang Xu , Jie Huang , Zeyue Xue , Haoyang Huang , Nan Duan , Feng Zhao

Diffusion autoencoders (DAs) are variants of diffusion generative models that use an input-dependent latent variable to capture representations alongside the diffusion process. These representations, to varying extents, can be used for…

机器学习 · 计算机科学 2025-06-03 Magdalena Proszewska , Nikolay Malkin , N. Siddharth

The generative learning phase of Autoencoder (AE) and its successor Denosing Autoencoder (DAE) enhances the flexibility of data stream method in exploiting unlabelled samples. Nonetheless, the feasibility of DAE for data stream analytic…

机器学习 · 计算机科学 2018-09-25 Mahardhika Pratama , Andri Ashfahani , Yew Soon Ong , Savitha Ramasamy , Edwin Lughofer

Often the analysis of time-dependent chemical and biophysical systems produces high-dimensional time-series data for which it can be difficult to interpret which individual features are most salient. While recent work from our group and…

We introduce a novel variational autoencoder (VAE) architecture that can generate realistic and diverse high energy physics events. The model we propose utilizes several techniques from VAE literature in order to simulate high fidelity jet…

高能物理 - 唯象学 · 物理学 2020-09-11 Kosei Dohi

This paper presents a novel generative model to synthesize fluid simulations from a set of reduced parameters. A convolutional neural network is trained on a collection of discrete, parameterizable fluid simulation velocity fields. Due to…

机器学习 · 计算机科学 2019-09-05 Byungsoo Kim , Vinicius C. Azevedo , Nils Thuerey , Theodore Kim , Markus Gross , Barbara Solenthaler

Model reduction of high-dimensional dynamical systems alleviates computational burdens faced in various tasks from design optimization to model predictive control. One popular model reduction approach is based on projecting the governing…

动力系统 · 数学 2018-08-24 Francisco J. Gonzalez , Maciej Balajewicz

The fast and accurate prediction of unsteady flow becomes a serious challenge in fluid dynamics, due to the high-dimensional and nonlinear characteristics. A novel hybrid deep neural network (DNN) architecture was designed to capture the…

流体动力学 · 物理学 2020-01-08 Renkun Han , Yixing Wang , Yang Zhang , Gang Chen

Variational autoencoders (VAEs) are powerful deep generative models widely used to represent high-dimensional complex data through a low-dimensional latent space learned in an unsupervised manner. In the original VAE model, the input data…

机器学习 · 计算机科学 2022-07-05 Laurent Girin , Simon Leglaive , Xiaoyu Bie , Julien Diard , Thomas Hueber , Xavier Alameda-Pineda

Machine learning (ML) models trained to detect physical-layer threats on one optical fiber system often fail catastrophically when applied to a different system, due to variations in operating wavelength, fiber properties, and network…

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…

流体动力学 · 物理学 2023-03-31 Aakash Patil , Jonathan Viquerat , Elie Hachem

Embracing the deep learning techniques for representation learning in clustering research has attracted broad attention in recent years, yielding a newly developed clustering paradigm, viz. the deep clustering (DC). Typically, the DC models…

机器学习 · 计算机科学 2022-01-17 Shuai Chang

Data-driven flow-field reconstruction typically relies on autoencoder architectures that compress high-dimensional states into low-dimensional latent representations. However, classical approaches such as variational autoencoders (VAEs)…

机器学习 · 计算机科学 2026-01-14 AmirPouya Hemmasian , Amir Barati Farimani

Approximating distributions over complicated manifolds, such as natural images, are conceptually attractive. The deep latent variable model, trained using variational autoencoders and generative adversarial networks, is now a key technique…

计算机视觉与模式识别 · 计算机科学 2019-10-08 Wenju Xu , Shawn Keshmiri , Guanghui Wang

Approximating wind flows using computational fluid dynamics (CFD) methods can be time-consuming. Creating a tool for interactively designing prototypes while observing the wind flow change requires simpler models to simulate faster. Instead…

计算机视觉与模式识别 · 计算机科学 2022-01-05 Henrik Hoeiness , Kristoffer Gjerde , Luca Oggiano , Knut Erik Teigen Giljarhus , Massimiliano Ruocco

Disentangled representation learning aims to learn low-dimensional representations where each dimension corresponds to an underlying generative factor. While the Variational Auto-Encoder (VAE) is widely used for this purpose, most existing…

机器学习 · 计算机科学 2024-12-31 Di Fan , Yannian Kou , Chuanhou Gao

With the introduction of the variational autoencoder (VAE), probabilistic latent variable models have received renewed attention as powerful generative models. However, their performance in terms of test likelihood and quality of generated…

机器学习 · 统计学 2020-01-13 Lars Maaløe , Marco Fraccaro , Valentin Liévin , Ole Winther

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…

机器学习 · 计算机科学 2025-02-21 Henning Schwarz , Pyei Phyo Lin , Jens-Peter M. Zemke , Thomas Rung