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A convolutional autoencoder is trained using a database of airfoil aerodynamic simulations and assessed in terms of overall accuracy and interpretability. The goal is to predict the stall and to investigate the ability of the autoencoder to…

Fluid Dynamics · Physics 2023-02-22 Ettore Saetta , Renato Tognaccini , Gianluca Iaccarino

The high cost of acquiring labels is one of the main challenges in deploying supervised machine learning algorithms. Active learning is a promising approach to control the learning process and address the difficulties of data labeling by…

Machine Learning · Computer Science 2019-11-19 Farhad Pourkamali-Anaraki , Michael B. Wakin

Autoencoders (AE) provide a useful method for nonlinear dimensionality reduction but are ill-suited for low data regimes. Conversely, Principal Component Analysis (PCA) is data-efficient but is limited to linear dimensionality reduction,…

To analyze high-dimensional and complex data in the real world, deep generative models, such as variational autoencoder (VAE) embed data in a low-dimensional space (latent space) and learn a probabilistic model in the latent space. However,…

Machine Learning · Computer Science 2020-09-01 Keizo Kato , Jing Zhou , Tomotake Sasaki , Akira Nakagawa

Variational quantum eigensolver (VQE) is regarded as a promising candidate of hybrid quantum-classical algorithm for the near-term quantum computers. Meanwhile, VQE is confronted with a challenge that statistical error associated with the…

Quantum Physics · Physics 2023-12-12 Ken N. Okada , Keita Osaki , Kosuke Mitarai , Keisuke Fujii

Collecting labeled data for many important tasks in chemoinformatics is time consuming and requires expensive experiments. In recent years, machine learning has been used to learn rich representations of molecules using large scale…

Machine Learning · Computer Science 2022-05-20 A. Tevosyan , L. Khondkaryan , H. Khachatrian , G. Tadevosyan , L. Apresyan , N. Babayan , H. Stopper , Z. Navoyan

We address the problem of one-to-many mappings in supervised learning, where a single instance has many different solutions of possibly equal cost. The framework of conditional variational autoencoders describes a class of methods to tackle…

Machine Learning · Statistics 2019-09-11 Alexej Klushyn , Nutan Chen , Botond Cseke , Justin Bayer , Patrick van der Smagt

Electromagnetic multipole expansion theory underpins nanoscale light-matter interactions, particularly within subwavelength meta-atoms, paving the way for diverse and captivating optical phenomena. While conventionally brute force…

For conceptual design, engineers rely on conventional iterative (often manual) techniques. Emerging parametric models facilitate design space exploration based on quantifiable performance metrics, yet remain time-consuming and…

This paper details how to parameterize the posterior distribution of state-space systems to generate improved optimization problems for system identification using variational inference. Three different parameterizations of the assumed…

Applications · Statistics 2025-01-15 Dimas Abreu Archanjo Dutra

Optimized sensing is important for computational imaging in low-resource environments, when images must be recovered from severely limited measurements. In this paper, we propose a physics-constrained, fully differentiable, autoencoder that…

Image and Video Processing · Electrical Eng. & Systems 2020-03-24 He Sun , Adrian V. Dalca , Katherine L. Bouman

Variational autoencoders (VAEs) are powerful tools for learning latent representations of data used in a wide range of applications. In practice, VAEs usually require multiple training rounds to choose the amount of information the latent…

Machine Learning · Computer Science 2023-08-21 Juhan Bae , Michael R. Zhang , Michael Ruan , Eric Wang , So Hasegawa , Jimmy Ba , Roger Grosse

Terahertz (THz) sensing is a promising imaging technology for a wide variety of different applications. Extracting the interpretable and physically meaningful parameters for such applications, however, requires solving an inverse problem in…

Computer Vision and Pattern Recognition · Computer Science 2019-10-30 Tak Ming Wong , Matthias Kahl , Peter Haring Bolívar , Andreas Kolb , Michael Möller

In quantised autoencoders, images are usually split into local patches, each encoded by one token. This representation is redundant in the sense that the same number of tokens is spend per region, regardless of the visual information…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Tim Elsner , Paula Usinger , Victor Czech , Gregor Kobsik , Yanjiang He , Isaak Lim , Leif Kobbelt

This paper proposes a novel paradigm for machine learning that moves beyond traditional parameter optimization. Unlike conventional approaches that search for optimal parameters within a fixed geometric space, our core idea is to treat the…

Machine Learning · Computer Science 2025-10-31 Di Zhang

Moving Morphable Component (MMC) based topology optimization approach is an explicit algorithm since the boundary of the entity explicitly described by its functions. Compared with other pixel or node point-based algorithms, it is optimized…

Numerical Analysis · Mathematics 2019-10-17 Xinchao Jiang , Hu Wang , Yu Li , Kangjia Mo

While unsupervised variational autoencoders (VAE) have become a powerful tool in neuroimage analysis, their application to supervised learning is under-explored. We aim to close this gap by proposing a unified probabilistic model for…

Machine Learning · Computer Science 2019-07-15 Qingyu Zhao , Ehsan Adeli , Nicolas Honnorat , Tuo Leng , Kilian M. Pohl

Variational AutoEncoders (VAEs) are powerful generative models that merge elements from statistics and information theory with the flexibility offered by deep neural networks to efficiently solve the generation problem for high dimensional…

Machine Learning · Computer Science 2021-03-02 A. Asperti , D. Evangelista , E. Loli Piccolomini

Variational autoencoders employ an amortized inference model to approximate the posterior of latent variables. However, such amortized variational inference faces two challenges: (1) the limited posterior expressiveness of fully-factorized…

Machine Learning · Computer Science 2022-12-01 Yookoon Park , Chris Dongjoo Kim , Gunhee Kim

Unsupervised learning with functional data is an emerging paradigm of machine learning research with applications to computer vision, climate modeling and physical systems. A natural way of modeling functional data is by learning operators…

Machine Learning · Computer Science 2023-02-22 Jacob H. Seidman , Georgios Kissas , George J. Pappas , Paris Perdikaris