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We provide a representation of the $C^*$-algebra generated by multidimensional integral operators with piecewise constant kernels and discrete ergodic operators. This representation allows us to find the spectrum and to construct the…

数学物理 · 物理学 2020-05-22 Anton A. Kutsenko

Accurate thermal analysis of composites and porous media requires detailed characterization of local thermal properties in small scale. For some important applications such as lithium-ion batteries, changes in the properties during the…

应用物理 · 物理学 2020-10-06 Fazlolah Mohaghegh , Jayathi Murthy

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…

机器学习 · 计算机科学 2023-10-31 Derick Nganyu Tanyu , Jianfeng Ning , Andreas Hauptmann , Bangti Jin , Peter Maass

The Expectation--Maximization (EM) algorithm is a simple meta-algorithm that has been used for many years as a methodology for statistical inference when there are missing measurements in the observed data or when the data is composed of…

机器学习 · 统计学 2022-11-15 Hideitsu Hino , Shotaro Akaho , Noboru Murata

This paper addresses the challenge of classifying polarimetric SAR images by leveraging the peculiar characteristics of the polarimetric covariance matrix (PCM). To this end, a general framework to solve a multiple hypothesis test is…

信号处理 · 电气工程与系统科学 2021-06-22 Pia Addabbo , Filippo Biondi , Carmine Clemente , Sudan Han , Danilo Orlando , Giuseppe Ricci

Motivated by indirect measurements and applications from nanometrology with a mixed noise model, we develop a novel algorithm for jointly estimating the posterior and the noise parameters in Bayesian inverse problems. We propose to solve…

机器学习 · 计算机科学 2024-07-08 Paul Hagemann , Johannes Hertrich , Maren Casfor , Sebastian Heidenreich , Gabriele Steidl

The process of particle picking, a crucial step in cryo-electron microscopy (cryo-EM) image analysis, often encounters challenges due to outliers, leading to inaccuracies in downstream processing. In response to this challenge, this…

定量方法 · 定量生物学 2024-09-10 Lev Kapnulin , Ayelet Heimowitz , Nir Sharon

Cellular electron cryo-tomography enables the 3D visualization of cellular organization in the near-native state and at submolecular resolution. However, the contents of cellular tomograms are often complex, making it difficult to…

定量方法 · 定量生物学 2017-12-29 Xiangrui Zeng , Miguel Ricardo Leung , Tzviya Zeev-Ben-Mordehai , Min Xu

Dielectric tensor tomography is an imaging technique for mapping three-dimensional distributions of dielectric properties in transparent materials. This work introduces an enhanced illumination strategy employing a micro-electromechanical…

A major challenge in single particle reconstruction methods using cryo-electron microscopy is to attain a resolution sufficient to interpret fine details in three-dimensional (3D) macromolecular structures. Obtaining high resolution 3D…

数值分析 · 数学 2013-07-23 Lanhui Wang , Yoel Shkolnisky , Amit Singer

Vibrational spectroscopy is a key technique to elucidate microscopic structure and dynamics. Without the aid of theoretical approaches, it is however, often difficult to understand such spectra at a microscopic level. Ab initio molecular…

化学物理 · 物理学 2023-03-14 Philipp Schienbein

Electron cryo-tomography (cryo-ET) enables 3D imaging of complex, radiation-sensitive structures with molecular detail. However, image contrast from the interference of scattered electrons is nonlinear with atomic density and multiple…

Electron Cryo-Tomography (ECT) enables 3D visualization of macromolecule structure inside single cells. Macromolecule classification approaches based on convolutional neural networks (CNN) were developed to separate millions of…

定量方法 · 定量生物学 2018-03-28 Jialiang Guo , Bo Zhou , Xiangrui Zeng , Zachary Freyberg , Min Xu

Structural flexibility and/or dynamic interactions with other molecules is a critical aspect of protein function. CryoEM provides direct visualization of individual macromolecules sampling different conformational and compositional states.…

生物大分子 · 定量生物学 2021-08-04 Muyuan Chen , Steven Ludtke

Micro-Electro-Mechanical-Systems are complex structures, often involving nonlinearites of geometric and multiphysics nature, that are used as sensors and actuators in countless applications. Starting from full-order representations, we…

动力系统 · 数学 2023-04-04 Giorgio Gobat , Stefania Fresca , Andrea Manzoni , Attilio Frangi

High-temperature superconductor $Bi_{2}Sr_{2}CaCu_{2}O_{8}+x$ has been investigated by the high-resolution electron microscope (HREM) and the photodensitometric technique in order to resolve the sub-atomic shifts in the modulated structure.…

混沌动力学 · 物理学 2007-05-23 D. Kunstelj , M. Martinis , A. Knežević

Particle picking is a time-consuming step in single-particle analysis and often requires significant interventions from users, which has become a bottleneck for future automated electron cryo-microscopy (cryo-EM). Here we report a deep…

定量方法 · 定量生物学 2016-05-09 Feng Wang , Huichao Gong , Gaochao liu , Meijing Li , Chuangye Yan , Tian Xia , Xueming Li , Jianyang Zeng

Transmission electron microscopy (TEM) is a potent technique for the determination of three-dimensional atomic scale structure of samples in structural biology and materials science. In structural biology, three-dimensional structures of…

Graph-based representations of images have recently acquired an important role for classification purposes within the context of machine learning approaches. The underlying idea is to consider that relevant information of an image is…

机器学习 · 计算机科学 2011-06-07 Alejandro Chinea , Elka Korutcheva

Cryogenic electron microscopy is widely used in structural biology, but its resolution is often limited by the dynamics of the macromolecule. Here, we developed a refinement protocol based on Gaussian mixture models that integrates particle…

定量方法 · 定量生物学 2023-08-31 Muyuan Chen , Michael F. Schmid , Wah Chiu