Röding, M;
Bradley, SJ;
Williamson, NH;
Dewi, MR;
Nann, T;
Nydén, M;
(2016)
The Power of Heterogeneity: Parameter Relationships from Distributions.
PLoS One
, 11
(5)
, Article e0155718. 10.1371/journal.pone.0155718.
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Abstract
Complex scientific data is becoming the norm, many disciplines are growing immensely data-rich, and higher-dimensional measurements are performed to resolve complex relationships between parameters. Inherently multi-dimensional measurements can directly provide information on both the distributions of individual parameters and the relationships between them, such as in nuclear magnetic resonance and optical spectroscopy. However, when data originates from different measurements and comes in different forms, resolving parameter relationships is a matter of data analysis rather than experiment. We present a method for resolving relationships between parameters that are distributed individually and also correlated. In two case studies, we model the relationships between diameter and luminescence properties of quantum dots and the relationship between molecular weight and diffusion coefficient for polymers. Although it is expected that resolving complicated correlated relationships require inherently multi-dimensional measurements, our method constitutes a useful contribution to the modelling of quantitative relationships between correlated parameters and measurements. We emphasise the general applicability of the method in fields where heterogeneity and complex distributions of parameters are obstacles to scientific insight.
| Type: | Article |
|---|---|
| Title: | The Power of Heterogeneity: Parameter Relationships from Distributions |
| Location: | United States |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1371/journal.pone.0155718 |
| Publisher version: | http://doi.org/10.1371/journal.pone.0155718 |
| Language: | English |
| Additional information: | Copyright © 2016 Röding et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. |
| Keywords: | Quantum dots, Probability distribution, Polymers, Mass diffusivity, Nuclear magnetic resonance, Transmission electron microscopy, Distribution curves, Photons |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1508207 |
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