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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…

Computational Physics · Physics 2025-05-15 Diba Behnoudfar

Principal component analysis (PCA) is a commonly used pattern analysis method that maps high-dimensional data into a lower-dimensional space maximizing the data variance, that results in the promotion of separability of data. Inspired by…

Signal Processing · Electrical Eng. & Systems 2022-06-20 Xiaoqiang Hua , Yusuke Ono , Linyu Peng , Yuting Xu

Data-driven fault diagnostics of safety-critical systems often faces the challenge of a complete lack of labeled data associated with faulty system conditions (i.e., fault types) at training time. Since an unknown number and nature of fault…

Machine Learning · Computer Science 2020-10-01 Manuel Arias Chao , Bryan T. Adey , Olga Fink

Dimensionality reduction is essential in simulation-based shape design, where high-dimensional parameterizations hinder optimization, surrogate modeling, and systematic design-space exploration. Parametric Model Embedding (PME) addresses…

Computational Engineering, Finance, and Science · Computer Science 2026-05-13 Andrea Serani , Giorgio Palma , Matteo Diez

Accurate determination of three-dimensional (3D) atomic structures is crucial for understanding and controlling the properties of nanomaterials. Atomic electron tomography (AET) offers non-destructive atomic imaging with picometer-level…

Materials Science · Physics 2025-06-23 Juhyeok Lee , Yongsoo Yang

The discovery of new materials is often constrained by the need for large labelled datasets or expensive simulations. In this study, we explore the use of Disentangling Autoencoders (DAEs) to learn compact and interpretable representations…

Materials Science · Physics 2025-07-29 Jaehoon Cha , Tingyao Lu , Matthew Walker , Keith T. Butler

Internal properties of a sample can be observed by medical imaging tools, such as ultrasound devices, magnetic resonance imaging (MRI) and optical coherence tomography (OCT) which are based on relying on changes in material density or…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Mehrdad Shafiei Dizaji , Devin Harris

We present a scalable and efficient framework for the inference of spatially-varying parameters of continuum materials from image observations of their deformations. Our goal is the nondestructive identification of arbitrary damage,…

Numerical Analysis · Mathematics 2024-08-21 Joseph Kirchhoff , Dingcheng Luo , Thomas O'Leary-Roseberry , Omar Ghattas

Many of the existing machine learning algorithms, both supervised and unsupervised, depend on the quality of the input characteristics to generate a good model. The amount of these variables is also important, since performance tends to…

Machine Learning · Computer Science 2018-01-08 David Charte , Francisco Charte , Salvador García , María J. del Jesus , Francisco Herrera

Monitoring the health of ancient artworks requires adequate prudence because of the sensitive nature of these materials. Classical techniques for identifying the development of faults rely on acoustic testing. These techniques, being…

Computer Vision and Pattern Recognition · Computer Science 2015-08-26 Muhammad Zubair Ahmad , Amir Ali Khan , Sihem Mezghani , Eric Perrin , Kamel Mouhoubi , Jean-Luc Bodnar , Valeriu Vrabie

At the crossway of machine learning and data analysis, anomaly detection aims at identifying observations that exhibit abnormal behaviour. Be it measurement errors, disease development, severe weather, production quality default(s) (items)…

Methodology · Statistics 2025-06-06 Romain Valla , Pavlo Mozharovskyi , Florence d'Alché-Buc

Deep learning has shown the great power in the field of fault detection. However, for incipient faults with tiny amplitude, the detection performance of the current deep learning networks (DLNs) is not satisfactory. Even if prior…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Mingxuan Gao , Min Wang , Maoyin Chen

Regional Adaptive Hierarchical Transform (RAHT) is an effective point cloud attribute compression (PCAC) method. However, its application in deep learning lacks research. In this paper, we propose an end-to-end RAHT framework for lossy PCAC…

Image and Video Processing · Electrical Eng. & Systems 2026-01-21 Chunyang Fu , Tai Qin , Shiqi Wang , Zhu Li

Narrowband and broadband indoor radar images significantly deteriorate in the presence of target dependent and independent static and dynamic clutter arising from walls. A stacked and sparse denoising autoencoder (StackedSDAE) is proposed…

Signal Processing · Electrical Eng. & Systems 2022-01-21 Shobha Sundar Ram , Shelly Vishwakarma , Akanksha Sneh , Kainat Yasmeen

Electrical Impedance Tomography (EIT) is a powerful imaging technique with diverse applications, e.g., medical diagnosis, industrial monitoring, and environmental studies. The EIT inverse problem is about inferring the internal conductivity…

Machine Learning · Computer Science 2023-10-31 Derick Nganyu Tanyu , Jianfeng Ning , Andreas Hauptmann , Bangti Jin , Peter Maass

Principal component analysis (PCA) is a key tool in the field of data dimensionality reduction that is useful for various data science problems. However, many applications involve heterogeneous data that varies in quality due to noise…

Machine Learning · Statistics 2023-11-14 Javier Salazar Cavazos , Jeffrey A. Fessler , Laura Balzano

Computer-Aided Design (CAD) plays a pivotal role in industrial manufacturing, yet 2D Parametric Primitive Analysis (PPA) remains underexplored due to two key challenges: structural constraint reasoning and advanced semantic understanding.…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Ke Niu , Yuwen Chen , Haiyang Yu , Zhuofan Chen , Xianghui Que , Bin Li , Xiangyang Xue

Methodologies for multidimensionality reduction aim at discovering low-dimensional manifolds where data ranges. Principal Component Analysis (PCA) is very effective if data have linear structure. But fails in identifying a possible…

Numerical Analysis · Mathematics 2021-01-14 Alberto García-González , Antonio Huerta , Sergio Zlotnik , Pedro Díez

Unsupervised learning makes manifest the underlying structure of data without curated training and specific problem definitions. However, the inference of relationships between data points is frustrated by the `curse of dimensionality' in…

Using the information theory, this study provides insights into how the construction of latent space of autoencoder (AE) using deep neural network (DNN) training finds a smooth low-dimensional manifold in the stiff dynamical system. Our…