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Exotic behaviour of mechanical metamaterials often relies on an internal transformation of the underlying microstructure triggered by its local instabilities, rearrangements, and rotations. Depending on the presence and magnitude of such a…

Soft Condensed Matter · Physics 2020-04-16 Ondřej Rokoš , Jan Zeman , Martin Doškář , Petr Krysl

Realistic microscale domains are an essential step towards making modern multiscale simulations more applicable to computational materials engineering. For this purpose, 3D computed tomography scans can be very expensive or technically…

Synthesizing realistic microstructure images conditioned on processing parameters is crucial for understanding process-structure relationships in materials design. However, this task remains challenging due to limited training micrographs…

Materials Science · Physics 2025-11-21 Hoang Cuong Phan , Minh Tien Tran , Chihun Lee , Hoheok Kim , Sehyeok Oh , Dong-Kyu Kim , Ho Won Lee

In this work, we propose and analyze a new local time-decoupled squared Wasserstein-2 method for reconstructing the distribution of unknown parameters in dynamical systems. Specifically, we show that a stochastic neural network model, which…

Machine Learning · Computer Science 2025-03-10 Mingtao Xia , Qijing Shen , Philip Maini , Eamonn Gaffney , Alex Mogilner

Finding efficient means of fingerprinting microstructural information is a critical step towards harnessing data-centric machine learning approaches. A statistical framework is systematically developed for compressed characterisation of a…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Michael D. White , Alexander Tarakanov , Christopher P. Race , Philip J. Withers , Kody J. H. Law

A multi-scale approach to the inverse reconstruction of a pattern's microstructure is reported. Instead of a correlation function, a pair of entropic descriptors (EDs) is proposed for stochastic optimization method. The first of them…

Statistical Mechanics · Physics 2011-02-16 R. Piasecki

We develop a framework for designing density-dependent stochastic resetting protocols to regulate distributions of random walkers on networks. Resetting mechanisms that depend on local densities induce correlations in otherwise…

Statistical Mechanics · Physics 2025-06-19 Francesco Coghi , Kristian Stølevik Olsen

Heterogeneity and uncertainty in a composite microstructure lead to either computational bottlenecks if modeled rigorously or to solution inaccuracies in the stress field and failure predictions if approximated. Although methods suitable…

Machine Learning · Computer Science 2024-05-31 Emil Pitz , Kishore Pochiraju

In quality control, microstructures are investigated rigorously to ensure structural integrity, exclude the presence of critical volume defects, and validate the formation of the target microstructure. For quenched,…

Materials Science · Physics 2023-06-02 Ali Riza Durmaz , Sai Teja Potu , Daniel Romich , Johannes Möller , Ralf Nützel

Micro- and mesostructures of multiphase materials obtained from tomography and image acquisition are an ever more important database for simulation analyses. Huge data sets for reconstructed 3d volumes typically as voxel grids call for…

Computational Engineering, Finance, and Science · Computer Science 2021-03-17 Ajinkya Gote , Andreas Fischer , Chuanzeng Zhang , Bernhard Eidel

Recent contributions in the field of quantum state tomography have shown that, despite the exponential growth of Hilbert space with the number of subsystems, tomography of one-dimensional quantum systems may still be performed efficiently…

Quantum Physics · Physics 2013-07-19 Tillmann Baumgratz , David Gross , Marcus Cramer , Martin B. Plenio

Properties of crystalline materials are closely linked to microstructure arising from the spatial arrangement, orientation, and phase of nanocrystals. Rapid characterization of crystalline microstructure can accelerate the identification of…

Materials Science · Physics 2026-02-16 Kwanghwi Je , Ellis R. Kennedy , Sungin Kim , Yao Yang , Erik H. Thiede

The macroscopic response of short fiber reinforced composites is dependent on an extensive range of microstructural parameters. Thus, micromechanical modeling of these materials is challenging and in some cases, computationally expensive.…

Machine Learning · Computer Science 2022-10-04 J. Friemann , B. Dashtbozorg , M. Fagerström , S. M. Mirkhalaf

In this work, we develop a novel technique for reconstructing images from projection-based nano- and microtomography. Our contribution focuses on enhancing reconstruction quality, particularly for specimen composed of homogeneous material…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Anuraag Mishra , Andrea Gilch , Benjamin Apeleo Zubiri , Jan Rolfes , Frauke Liers

Understanding and predicting microstructure evolution is fundamental to materials science, as it governs the resulting properties and performance of materials. Traditional simulation methods, such as phase-field models, offer high-fidelity…

Machine Learning · Computer Science 2026-02-24 Michael Trimboli , Mohammed Alsubaie , Sirani M. Perera , Ke-Gang Wang , Xianqi Li

This paper puts forward an integrated microstructure design methodology that replaces the common existing design approaches: 1) reconstruction of microstructures, 2) analyzing and quantifying material properties, and 3) inverse design of…

Materials Science · Physics 2023-07-18 Kang-Hyun Lee , Hyoung Jun Lim , Gun Jin Yun

Honeycomb-like microstructures have been shown to exhibit local elastic buckling under compression, with three possible geometric buckling modes, or pattern transformations. The individual pattern transformations, and consequently also…

Soft Condensed Matter · Physics 2020-04-14 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

We propose a distributionally robust data-driven predictive control framework for stochastic linear time-invariant systems with unknown dynamics and disturbance distributions. We use an offline trajectory to fit the subspace predictive…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Mirhan Urkmez , Shahab Heshmati-Alamdari

In this paper, we investigate the properties of the Sliced Wasserstein Distance (SW) when employed as an objective functional. The SW metric has gained significant interest in the optimal transport and machine learning literature, due to…

Machine Learning · Statistics 2025-08-21 Christophe Vauthier , Anna Korba , Quentin Mérigot

Random microstructures of heterogeneous materials play a crucial role in the material macroscopic behavior and in predictions of its effective properties. A common approach to modeling random multiphase materials is to develop so-called…