Stochastic reconstructions based on universal correlation functions allow obtaining spatial structures based on limited input data or to fuse multiscale images from different sources. Current application of such techniques is severely hampered by the computational cost of the annealing optimization procedure. In this study we propose a novel hierarchical annealing method based on rescaled correlation functions, which improves both accuracy and computational efficiency of reconstructions while not suffering from disadvantages of existing speeding-up techniques. A significant order of magnitude gains in computational efficiency now allows us to add more correlation functions into consideration and, thus, to further improve the accuracy of the method. In addition, the method provides a robust multiscale framework to solve the universal upscaling or downscaling problem. The novel algorithm is extensively tested on binary (two-phase) microstructures of different genesis. In spite of significant improvements already in place, the current implementation of the hierarchical annealing method leaves significant room for additional accuracy and computational performance tweaks. As described here, (multiscale) stochastic reconstructions will find numerous applications in material and Earth sciences. Moreover, the proposed hierarchical approach can be readily applied to a wide spectrum of constrained optimization problems.
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http://dx.doi.org/10.1103/PhysRevLett.121.265501 | DOI Listing |
Arch Immunol Ther Exp (Warsz)
January 2025
Department of Human Physiology, Medical University of Lublin, Lublin, Poland.
Systemic lupus erythematosus (SLE) is an autoimmune disease whose pathogenesis is not fully understood to date. One of the suggested mechanisms for its development is NETosis, which involves the release of a specific network consisting of chromatin, proteins, and enzymes from neutrophils, stimulating the immune system. One of its markers is citrullinated histone H3 (H3Cit).
View Article and Find Full Text PDFPhys Rev Lett
December 2024
Physikalisches Institut der Universität Heidelberg, Im Neuenheimer Feld 226, 69120 Heidelberg, Germany.
We realize a Laughlin state of two rapidly rotating fermionic atoms in an optical tweezer. By utilizing a single atom and spin resolved imaging technique, we sample the Laughlin wave function thereby revealing its distinctive features, including a vortex distribution in the relative motion, correlations in the particles' relative angle, and suppression of the interparticle interactions. Our Letter lays the foundation for atom-by-atom assembly of fractional quantum Hall states in rotating atomic gases.
View Article and Find Full Text PDFPhys Rev Lett
December 2024
Initiative for the Theoretical Sciences and CUNY-Princeton Center for the Physics of Biological Function, The Graduate Center, CUNY, New York, New York 10016, USA.
The random-energy model (REM), a solvable spin-glass model, has impacted an incredibly diverse set of problems, from protein folding to combinatorial optimization, to many-body localization. Here, we explore a new connection to secret sharing. We derive an analytic expression for the mutual information between any two disjoint thermodynamic subsystems of the REM.
View Article and Find Full Text PDFPhys Rev Lett
December 2024
Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1020 Vienna, Austria.
The efficient readout of the relevant information is pivotal for quantum simulation experiments. Often only single observables are accessed by performing standard projective measurements. In this work, we implement an atomic beam splitter by controlled outcoupling that enables a generalized measurement scheme.
View Article and Find Full Text PDFJ Neurosurg
January 2025
1Department of Neurosurgery, ASST Cremona, Italy.
Objective: Brainstem cavernous malformations (BSCMs) were once considered inoperable. Microsurgical resection now represents a valuable option for treating patients with hemorrhagic or symptomatic lesions. The aim of this study was to provide a practical guide for surgical planning by analyzing postoperative neurological and functional outcomes.
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