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This study presents a novel integration of unsupervised learning and decision-making strategies for the advanced analysis of 4D-STEM datasets, with a focus on non-negative matrix factorization (NMF) as the primary clustering method. Our…

Machine Learning · Computer Science 2025-11-18 Junhao Cao , Nicolas Folastre , Gozde Oney , Edgar Rauch , Stavros Nicolopoulos , Partha Pratim Das , Arnaud Demortière

In this two-part paper, we present a novel framework and methodology to analyze data from certain image-based biochemical assays, e.g., ELISPOT and Fluorospot assays. In this first part, we start by presenting a physical partial…

Signal Processing · Electrical Eng. & Systems 2018-10-19 Pol del Aguila Pla , Joakim Jaldén

Energy dispersive X-ray (EDX) spectroscopy in the transmission electron microscope is a key tool for nanomaterials analysis, providing a direct link between spatial and chemical information. However, using it for precisely determining…

Materials Science · Physics 2024-05-24 Hui Chen , Duncan T. L. Alexander , Cécile Hébert

Machine learning holds tremendous promise for transforming the fundamental practice of scientific discovery by virtue of its data-driven nature. With the ever-increasing stream of research data collection, it would be appealing to…

Machine Learning · Computer Science 2024-03-06 Jianan Fan , Dongnan Liu , Hang Chang , Heng Huang , Mei Chen , Weidong Cai

In this paper we consider the inverse acoustic scattering (in \mathbb{R}^3) or electromagnetic scattering (in \mathbb{R}^2, for the scalar TE-polarization case) problem of reconstructing possibly multiple defective penetrable regions in a…

Analysis of PDEs · Mathematics 2015-10-08 Fioralba Cakoni , Isaac Harris

Subwavelength grating micro-polarizer arrays, as a type of focal plane division simultaneous detection method, are significantly advancing the development and practical application of polarization imaging technology. Based on the…

Optics · Physics 2024-10-17 Tianshi Lu , Fuyuan Deng , Yufeng Wei , Zhipeng Zeng , Xinghui Li

Understanding the grain morphology, orientation distribution, and crystal structure of nanocrystals is essential for optimizing the mechanical and physical properties of functional materials. Synchrotron X-ray Laue microdiffraction is a…

Materials Science · Physics 2025-06-13 Ka Hung Chan , Xinyue Huang , Nobumichi Tamura , Xian Chen

Grain boundary (GB) energy is a fundamental property that affects the form of grain boundary and plays an important role to unveil the behavior of polycrystalline materials. With a better understanding of grain boundary energy distribution…

Computational Physics · Physics 2020-02-04 Haoyu Wang , Srikanth Patala , Brian J. Reich

Nonnegative matrix factorization can be used to automatically detect topics within a corpus in an unsupervised fashion. The technique amounts to an approximation of a nonnegative matrix as the product of two nonnegative matrices of lower…

Computation and Language · Computer Science 2022-12-21 Michael R. Lindstrom , Xiaofu Ding , Feng Liu , Anand Somayajula , Deanna Needell

As opposed to metasurfaces, metagratings represent themselves sparse arrangements of scatterers. Established rigorous analytical models allow metagratings to overcome performance of metasurfaces in beam steering applications while handling…

Applied Physics · Physics 2020-04-22 Vladislav Popov , Fabrice Boust , Shah Nawaz Burokur

A method is presented for the registration and correlation of intrinsic property maps of materials, including data from nanoindentation hardness, Electron Back-Scattered Diffraction (EBSD), Electron Micro-Probe Analysis (EPMA). This highly…

Materials Science · Physics 2021-01-05 C. M. Magazzeni , H. M. Gardner , I. Howe , P. Gopon , J. C. Waite , D. Rugg , D. E. J. Armstrong , A. J. Wilkinson

Biosensing with ferromagnet-based magnetoresistive devices has been dominated by electrical detection of particle-induced changes to the devices' static magnetic configuration. There are however potential advantages to be gained from using…

Automated detection of grain boundaries (GBs) in electron microscope images of polycrystalline materials could help accelerate the nanoscale characterization of myriad engineering materials and novel materials under scientific research.…

Materials Science · Physics 2025-11-06 Doruk Aksoy , Huolin L. Xin , Timothy J. Rupert , William J. Bowman

We demonstrate a neutron tomography technique with sub-micrometer spatial resolution. Our method consists of measuring neutron diffraction spectra using a double crystal diffractometer as a function of sample rotation and then using a phase…

Instrumentation and Detectors · Physics 2020-11-13 B. Heacock , D. Sarenac , D. G. Cory , M. G. Huber , J. P. W. MacLean , H. Miao , H. Wen , D. A. Pushin

Few-shot learning remains a challenging problem, with unsatisfactory 1-shot accuracies for most real-world data. Here, we present a different perspective for data distributions in the feature space of a deep network and show how to exploit…

Computer Vision and Pattern Recognition · Computer Science 2021-12-09 Joseph F Comer , Philip L Jacobson , Heiko Hoffmann

Symmetric nonnegative matrix factorization (SymNMF) has important applications in data analytics problems such as document clustering, community detection and image segmentation. In this paper, we propose a novel nonconvex variable…

Optimization and Control · Mathematics 2017-03-27 Songtao Lu , Mingyi Hong , Zhengdao Wang

In this work, we introduce a highly efficient algorithm to address the nonnegative matrix underapproximation (NMU) problem, i.e., nonnegative matrix factorization (NMF) with an additional underapproximation constraint. NMU results are…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Mariano Tepper , Guillermo Sapiro

Energy carrier transport and recombination in emerging semiconductors can be directly monitored with optical microscopy, leading to the measurement of the diffusion coefficient (D), a critical property for design of efficient optoelectronic…

Unsupervised machine learning offers significant opportunities for extracting knowledge from unlabeled data sets and for achieving maximum machine learning performance. This paper demonstrates how to construct, use, and evaluate a high…

Materials Science · Physics 2021-04-13 Ryan Cohn , Elizabeth Holm

A class of algorithms for the solution of discrete material optimization problems in electromagnetic applications is discussed. The idea behind the algorithm is similar to that of the sequential programming. However, in each major iteration…

Optimization and Control · Mathematics 2017-07-14 Johannes Semmler , Lukas Pflug , Michael Stingl