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Single particle cryo-electron microscopy (EM) is an increasingly popular method for determining the 3-D structure of macromolecules from noisy 2-D images of single macromolecules whose orientations and positions are random and unknown. One…

计算机视觉与模式识别 · 计算机科学 2017-04-11 Roy R. Lederman , Amit Singer

We develop methods to efficiently reconstruct the topology and line parameters of a power grid from the measurement of nodal variables. We propose two compressed sensing algorithms that minimize the amount of necessary measurement resources…

系统与控制 · 计算机科学 2019-07-10 Farnaz Basiri , Jose Casadiego , Marc Timme , Dirk Witthaut

We are interested in numerical algorithms for computing the electrical field generated by a charge distribution localized on scale $\ell$ in an infinite heterogeneous medium, in a situation where the medium is only known in a box of…

偏微分方程分析 · 数学 2024-07-24 Jianfeng Lu , Felix Otto , Lihan Wang

Probability estimation by maximum entropy reconstruction of an initial relative frequency estimate from its projection onto a hypergraph model of the approximate conditional independence relations exhibited by it is investigated. The…

人工智能 · 计算机科学 2013-04-05 Michael Pittarelli

In this paper, we consider the problem of model reduction of large scale systems, such as those obtained through the discretization of PDEs. We propose a randomized proper orthogonal decomposition (RPOD) technique to obtain the reduced…

动力系统 · 数学 2013-12-17 Dan Yu , Suman Chakravorty

We investigate the recovery of structures from large-area, low dose exposures that distribute the dose over many identical copies of an object. The reconstruction is done via a maximum likelihood approach that does neither require to…

材料科学 · 物理学 2018-03-28 C. Kramberger , J. C. Meyer

Designing metamaterials for extreme mechanical behavior involves the optimal selection of design parameters. However, identifying these optimal parameters through topology optimization (TO) across a large parametric space requires extensive…

计算物理 · 物理学 2025-11-10 Ajendra Singh , Shubham Saurabh , Abhinav Gupta , Rajib Chowdhury

The problem of finding suitable point embedding or geometric configurations given only Euclidean distance information of point pairs arises both as a core task and as a sub-problem in a variety of machine learning applications. In this…

机器学习 · 计算机科学 2024-10-23 Ipsita Ghosh , Abiy Tasissa , Christian Kümmerle

On semiconductor growth surfaces, surface reconstructions appear. Estimation of the reconstructed structures is essential for understanding and controlling growth phenomena. In this study, the stability of a mixture of two different surface…

Four-dimensional Scanning Transmission Electron Microscopy (4D STEM) with data acquired using a defocused electron probe is a promising tool for characterising complex biological specimens and materials through a phase retrieval process…

信号处理 · 电气工程与系统科学 2025-05-15 Amirafshar Moshtaghpour , Angus I. Kirkland

Recently, entropic descriptors based the Monte Carlo hybrid reconstruction of the microstructure of a binary/greyscale pattern has been proposed (Piasecki 2011 Proc. R. Soc. A 467 806). We try to speed up this method applied in this…

统计力学 · 物理学 2012-06-19 R. Piasecki , W. Olchawa

This paper proposes a randomized optimization framework for constrained signal reconstruction, where the word "constrained" implies that data-fidelity is imposed as a hard constraint instead of adding a data-fidelity term to an objective…

最优化与控制 · 数学 2024-06-28 Shunsuke Ono

Single particle cryo-electron microscopy is a vital tool for 3D characterization of protein structures. A typical workflow involves acquiring projection images of a collection of randomly oriented particles, picking and classifying…

图像与视频处理 · 电气工程与系统科学 2021-03-22 S. V. Venkatakrishnan , Puneet Juneja , Hugh O'Neill

Tomographic reconstruction of a binary image from few projections is considered. A novel {\em heuristic} algorithm is proposed, the central element of which is a nonlinear transformation $\psi(p)=\log(p/(1-p))$ of the probability $p$ that a…

经典物理 · 物理学 2013-09-05 Stephane Roux , Hugo Leclerc , François Hild

We review different (reduced) models for thin structures using bending as principal mechanism to undergo large deformations. Each model consists in the minimization of a fourth order energy, potentially subject to a nonconvex constraint.…

数值分析 · 数学 2023-05-25 Andrea Bonito , Diane Guignard , Angelique Morvant

Axisymmetric free-boundary equilibrium reconstructions of tokamak plasmas in the Lithium Tokamak eXperiment (LTX) are performed using the PSI-Tri equilibrium code. Reconstructions in LTX are complicated by the presence of long-lived…

等离子体物理 · 物理学 2017-04-20 C. Hansen , D. P. Boyle , J. C. Schmitt , R. Majeski

We derive and analyze a novel approach for modeling and computing the mechanical relaxation of incommensurate 2D heterostructures. Our approach parametrizes the relaxation pattern by the compact local configuration space rather than real…

计算物理 · 物理学 2019-09-04 Paul Cazeaux , Mitchell Luskin , Daniel Massatt

Relative free energy calculations are now widely used in academia and industry, but the accuracy is often limited by poor sampling of the complexes conformational ensemble. To address this, we have developed a novel method termed…

化学物理 · 物理学 2025-08-12 Anika J. Friedman , Wei-Tse Hsu , Michael R. Shirts

This paper introduces a constructive method for approximating relative continuum measurements in two-dimensional electrical impedance tomography based on data originating from either the point electrode model or the complete electrode…

数值分析 · 数学 2021-03-09 Henrik Garde , Nuutti Hyvönen