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Variational Autoencoders (VAEs) have become a popular approach for dimensionality reduction. However, despite their ability to identify latent low-dimensional structures embedded within high-dimensional data, these latent representations…

机器学习 · 统计学 2020-08-27 Kaspar Märtens , Christopher Yau

There has been a lot of recent interest in designing neural network models to estimate a distribution from a set of examples. We introduce a simple modification for autoencoder neural networks that yields powerful generative models. Our…

机器学习 · 计算机科学 2015-06-08 Mathieu Germain , Karol Gregor , Iain Murray , Hugo Larochelle

Learning interpretable and disentangled representations of data is a key topic in machine learning research. Variational Autoencoder (VAE) is a scalable method for learning directed latent variable models of complex data. It employs a clear…

机器学习 · 计算机科学 2020-06-04 Andriy Serdega , Dae-Shik Kim

We consider the topology optimization problem of a 2d permanent magnet synchronous machine in magnetostatic operation with demagnetization. This amounts to a PDE-constrained multi-material design optimization problem with an additional…

最优化与控制 · 数学 2024-04-19 Nepomuk Krenn , Peter Gangl

We demonstrate in this paper that a generative model can be designed to perform classification tasks under challenging settings, including adversarial attacks and input distribution shifts. Specifically, we propose a conditional variational…

计算机视觉与模式识别 · 计算机科学 2019-02-12 Houpu Yao , Malcolm Regan , Yezhou Yang , Yi Ren

Integrating physics models within machine learning models holds considerable promise toward learning robust models with improved interpretability and abilities to extrapolate. In this work, we focus on the integration of incomplete physics…

机器学习 · 计算机科学 2021-10-28 Naoya Takeishi , Alexandros Kalousis

We propose a variational autoencoder (VAE) approach for parameter estimation in nonlinear mixed-effects models based on ordinary differential equations (NLME-ODEs) using longitudinal data from multiple subjects. In moderate dimensions,…

统计方法学 · 统计学 2026-02-11 Zhe Li , Mélanie Prague , Rodolphe Thiébaut , Quentin Clairon

Graphs are ubiquitous data structures for representing interactions between entities. With an emphasis on the use of graphs to represent chemical molecules, we explore the task of learning to generate graphs that conform to a distribution…

机器学习 · 计算机科学 2019-03-08 Qi Liu , Miltiadis Allamanis , Marc Brockschmidt , Alexander L. Gaunt

Anomaly detection using dimensionality reduction has been an essential technique for monitoring multidimensional data. Although deep learning-based methods have been well studied for their remarkable detection performance, their…

机器学习 · 统计学 2018-12-24 Yasuhiro Ikeda , Kengo Tajiri , Yuusuke Nakano , Keishiro Watanabe , Keisuke Ishibashi

Designing thermal radiation metamaterials is challenging especially for problems with high degrees of freedom and complex objective. In this letter, we have developed a hybrid materials informatics approach which combines the adversarial…

机器学习 · 计算机科学 2022-07-13 Dezhao Zhu , Jiang Guo , Gang Yu , C. Y. Zhao , Hong Wang , Shenghong Ju

Physics-based models often involve large systems of parametrized partial differential equations, where design parameters control various properties. However, high-fidelity simulations of such systems on large domains or with high grid…

计算物理 · 物理学 2025-05-15 Diba Behnoudfar

Recent research in the design of end to end communication system using deep learning has produced models which can outperform traditional communication schemes. Most of these architectures leveraged autoencoders to design the encoder at the…

信息论 · 计算机科学 2020-01-28 Vishnu Raj , Sheetal Kalyani

We propose a single neural probabilistic model based on variational autoencoder that can be conditioned on an arbitrary subset of observed features and then sample the remaining features in "one shot". The features may be both real-valued…

机器学习 · 统计学 2019-07-01 Oleg Ivanov , Michael Figurnov , Dmitry Vetrov

Electronic materials exhibiting phase transitions between metastable states (e.g., metal-insulator transition materials with abrupt electrical resistivity transformations) are challenging to decode. For these materials, conventional machine…

材料科学 · 物理学 2020-11-09 Yiqun Wang , Akshay Iyer , Wei Chen , James M. Rondinelli

We present a novel kernel-based machine learning algorithm for identifying the low-dimensional geometry of the effective dynamics of high-dimensional multiscale stochastic systems. Recently, the authors developed a mathematical framework…

Despite advances in deep probabilistic models, learning discrete latent representations remains challenging. This work introduces a novel method to improve inference in discrete Variational Autoencoders by reframing the inference problem…

机器学习 · 计算机科学 2025-06-11 María Martínez-García , Grace Villacrés , David Mitchell , Pablo M. Olmos

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

Compressed sensing techniques enable efficient acquisition and recovery of sparse, high-dimensional data signals via low-dimensional projections. In this work, we propose Uncertainty Autoencoders, a learning framework for unsupervised…

机器学习 · 统计学 2019-04-15 Aditya Grover , Stefano Ermon

We develop data-driven methods for incorporating physical information for priors to learn parsimonious representations of nonlinear systems arising from parameterized PDEs and mechanics. Our approach is based on Variational Autoencoders…

机器学习 · 计算机科学 2021-03-17 Ryan Lopez , Paul J. Atzberger

Weakly-supervised anomaly detection aims at learning an anomaly detector from a limited amount of labeled data and abundant unlabeled data. Recent works build deep neural networks for anomaly detection by discriminatively mapping the normal…

机器学习 · 计算机科学 2021-08-29 Yingjie Zhou , Xucheng Song , Yanru Zhang , Fanxing Liu , Ce Zhu , Lingqiao Liu