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An approach for the analysis of atomically resolved scanning transmission electron microscopy data with multiple ferroic variants in the presence of imaging non-idealities and chemical variabilities based on a rotationally invariant…

Anomalies are by definition rare, thus labeled examples are very limited or nonexistent, and likely do not cover unforeseen scenarios. Unsupervised learning methods that don't necessarily encounter anomalies in training would be immensely…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Louise Naud , Alexander Lavin

Unsupervised feature learning for point clouds has been vital for large-scale point cloud understanding. Recent deep learning based methods depend on learning global geometry from self-reconstruction. However, these methods are still…

Computer Vision and Pattern Recognition · Computer Science 2019-07-31 Zhizhong Han , Xiyang Wang , Yu-Shen Liu , Matthias Zwicker

Variational autoencoders (VAEs) have been used extensively to discover low-dimensional latent factors governing neural activity and animal behavior. However, without careful model selection, the uncovered latent factors may reflect noise in…

Machine Learning · Computer Science 2023-12-13 Julia Huiming Wang , Dexter Tsin , Tatiana Engel

We experimentally show an all-optical multipolar decomposition of the lowest-order Eigenmodes of a single gold nanoprism using azimuthally and radially polarized cylindrical vector beams. By scanning the particle through these tailored…

Optics · Physics 2015-03-10 Thomas Bauer , Sergej Orlov , Gerd Leuchs , Peter Banzer

The proliferation of optical, electron, and scanning probe microscopies gives rise to large volumes of imaging data of objects as diversified as cells, bacteria, pollen, to nanoparticles and atoms and molecules. In most cases, the…

Machine Learning · Computer Science 2021-05-26 Maxim Ziatdinov , Muammer Yusuf Yaman , Yongtao Liu , David Ginger , Sergei V. Kalinin

Variational Auto-Encoders (VAEs) have emerged as powerful probabilistic models for generative tasks. However, their convergence properties have not been rigorously proven. The challenge of proving convergence is inherently difficult due to…

Machine Learning · Computer Science 2024-09-10 Li Wang , Wei Huang

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…

Machine Learning · Computer Science 2021-03-17 Ryan Lopez , Paul J. Atzberger

Orientation dependent electronic properties of wurtzite zinc oxide nanorods are characterized by aloof beam electron energy-loss spectroscopy (EELS) carried out in a scanning transmission electron microscope (STEM). The two key crystal…

Materials Science · Physics 2021-10-06 Yao-Wen Yeh , Sobhit Singh , David Vanderbilt , Philip E. Batson

In end-to-end optimized learned image compression, it is standard practice to use a convolutional variational autoencoder with generalized divisive normalization (GDN) to transform images into a latent space. Recently, Operational Neural…

Image and Video Processing · Electrical Eng. & Systems 2021-05-31 M. Akın Yılmaz , Onur Keleş , Hilal Güven , A. Murat Tekalp , Junaid Malik , Serkan Kıranyaz

Learning latent representations that are simultaneously expressive, geometrically well-structured, and reliably calibrated remains a central challenge for Variational Autoencoders (VAEs). Standard VAEs typically assume a diagonal Gaussian…

Machine Learning · Computer Science 2025-12-02 Mehmet Can Yavuz

Four-dimensional scanning transmission electron microscopy (4D-STEM) provides rich, atomic-scale insights into materials structures. However, extracting specific physical properties - such as polarization directions essential for…

In this tutorial, we explore Variational Autoencoders (VAEs), an essential framework for unsupervised learning, particularly suited for high-dimensional datasets such as neuroimaging. By integrating deep learning with Bayesian inference,…

Image and Video Processing · Electrical Eng. & Systems 2025-01-15 C. Vázquez-García , F. J. Martínez-Murcia , F. Segovia Román , Juan M. Górriz Sáez

We present a detailed study on Variational Autoencoders (VAEs) for anomalous jet tagging at the Large Hadron Collider. By taking in low-level jet constituents' information, and training with background QCD jets in an unsupervised manner,…

High Energy Physics - Phenomenology · Physics 2023-01-05 Taoli Cheng , Jean-François Arguin , Julien Leissner-Martin , Jacinthe Pilette , Tobias Golling

The ultimate aim of the study is to explore the inverse design of porous metamaterials using a deep learning-based generative framework. Specifically, we develop a property-variational autoencoder (pVAE), a variational autoencoder (VAE)…

Machine Learning · Computer Science 2025-07-25 Phu Thien Nguyen , Yousef Heider , Dennis M. Kochmann , Fadi Aldakheel

The manifold hypothesis states that high-dimensional data can be modeled as lying on or near a low-dimensional, nonlinear manifold. Variational Autoencoders (VAEs) approximate this manifold by learning mappings from low-dimensional latent…

Machine Learning · Statistics 2021-03-03 Marissa C. Connor , Gregory H. Canal , Christopher J. Rozell

Application of circularly polarized beams in interferometric illumination of colloid sphere monolayers enables the direct fabrication of rectangular patterns consisting of circular nanohole miniarrays in metal films. The spectral and…

Optics · Physics 2020-05-18 Emese Toth , Aron Sipos , Oliver A. Fekete , Maria Csete

Electron and scanning probe microscopy produce vast amounts of data in the form of images or hyperspectral data, such as EELS or 4D STEM, that contain information on a wide range of structural, physical, and chemical properties of…

Machine Learning · Computer Science 2023-06-09 Arpan Biswas , Maxim Ziatdinov , Sergei V. Kalinin

This paper aims to conduct a comparative analysis of contemporary Variational Autoencoder (VAE) architectures employed in anomaly detection, elucidating their performance and behavioral characteristics within this specific task. The…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Huy Hoang Nguyen , Cuong Nhat Nguyen , Xuan Tung Dao , Quoc Trung Duong , Dzung Pham Thi Kim , Minh-Tan Pham

Illumination of colloid sphere monolayers by circularly polarized beams enables the fabrication of concave patterns consisting of circular nanohole miniarrays that can be transferred into convex metal nanoparticle patterns via a lift-off…

Optics · Physics 2020-05-21 Aron Sipos , Emese Toth , Oliver A. Fekete , Maria Csete