Reconstructing grain-shape statistics from electron back-scatter diffraction microscopy

The distributions of size and shape of a material’s grains can be constructed from a 2D slice of the material and electron diffraction data.

Physical Review Materials 2, 73804 (2018)

R. Farr, Z. Vukmanovic, M. Holness, E. Griffiths

LQ placeholderReconstructing grain-shape statistics from electron back-scatter diffraction microscopy

A full, three-dimensional analysis of the shapes of grains in polycrystalline materials, such as rocks or ceramics, is difficult and costly. Here, the authors describe an approach that takes electron microscopy images of plane sections (together with crystal orientation data from the back-scattered electrons), and allows one to deduce information about the size and shape distribution of the randomly-oriented three-dimensional grains. The authors also provide an estimate of how much data is needed to achieve a certain level of confidence. Since this type of microscopy and image analysis is a highly effective and optimised technique, the new result promises to give much easier access to the three dimensional structures of many crystalline materials.

LQ placeholderNetwork valuation in financial systems

Network valuation in financial systems

P. Barucca, M. Bardoscia, F. Caccioli, M. D’Errico, G. Visentin, G. Caldarelli, S. Battiston

Mathematical Finance

LQ placeholderThe space of functions computed by deep layered machines

The space of functions computed by deep layered machines

A. Mozeika, B. Li, D. Saad

Sub. to Physical Review Letters

LQ placeholderReplica analysis of overfitting in generalized linear models

Replica analysis of overfitting in generalized linear models

T. Coolen, M. Sheikh, A. Mozeika, F. Aguirre-Lopez, F. Antenucci

Sub. to Journal of Physics A

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Taming complexity

M. Reeves, S. Levin, T. Fink, A. Levina

Harvard Business Review

LQ placeholderReplica analysis of Bayesian data clustering

Replica analysis of Bayesian data clustering

A. Mozeika, T. Coolen

Journal of Physics A

LQ placeholderDegree-correlations in a bursting dynamic network model

Degree-correlations in a bursting dynamic network model

F. Vanni, P. Barucca

Journal of Economic Interaction and Coordination

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