Inverse problem instabilities in large-scale modeling of matter in extreme conditions

被引：43

作者：

Kasim, M. F. ^{[1
]}

Galligan, T. P. ^{[1
]}

Topp-Mugglestone, J. ^{[1
]}

Gregori, G. ^{[1
]}

Vinko, S. M. ^{[1
]}

机构：

[1] Univ Oxford, Dept Phys, Clarendon Lab, Parks Rd, Oxford OX1 3PU, England

来源：

PHYSICS OF PLASMAS | 2019年 / 26卷 / 11期

基金：

英国工程与自然科学研究理事会;

关键词：

THOMSON SCATTERING; RAY; PLASMAS;

D O I：

10.1063/1.5125979

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Our understanding of physical systems often depends on our ability to match complex computational modeling with the measured experimental outcomes. However, simulations with large parameter spaces suffer from inverse problem instabilities, where similar simulated outputs can map back to very different sets of input parameters. While of fundamental importance, such instabilities are seldom resolved due to the intractably large number of simulations required to comprehensively explore parameter space. Here, we show how Bayesian inference can be used to address inverse problem instabilities in the interpretation of x-ray emission spectroscopy and inelastic x-ray scattering diagnostics. We find that the extraction of information from measurements on the basis of agreement with simulations alone is unreliable and leads to a significant underestimation of uncertainties. We describe how to statistically quantify the effect of unstable inverse models and describe an approach to experimental design that mitigates its impact. (C) 2019 Author(s).

引用

页数：9

共 54 条

[1] An introduction to MCMC for machine learning [J].

Andrieu, C ;

de Freitas, N ;

Doucet, A ;

Jordan, MI .

MACHINE LEARNING, 2003, 50 (1-2) :5-43

[2] A higher-than-predicted measurement of iron opacity at solar interior temperatures [J].

Bailey, J. E. ;

Nagayama, T. ;

Loisel, G. P. ;

Rochau, G. A. ;

Blancard, C. ;

Colgan, J. ;

Cosse, Ph. ;

Faussurier, G. ;

Fontes, C. J. ;

Gilleron, F. ;

Golovkin, I. ;

Hansen, S. B. ;

Iglesias, C. A. ;

Kilcrease, D. P. ;

MacFarlane, J. J. ;

Mancini, R. C. ;

Nahar, S. N. ;

Orban, C. ;

Pain, J-C. ;

Pradhan, A. K. ;

Sherrill, M. ;

Wilson, B. G. .

NATURE, 2015, 517 (7532) :56-U120

[3] Measurement of Short-Range Correlations in Shock-Compressed Plastic by Short-Pulse X-Ray Scattering [J].

Barbrel, B. ;

Koenig, M. ;

Benuzzi-Mounaix, A. ;

Brambrink, E. ;

Brown, C. R. D. ;

Gericke, D. O. ;

Nagler, B. ;

le Gloahec, M. Rabec ;

Riley, D. ;

Spindloe, C. ;

Vinko, S. M. ;

Vorberger, J. ;

Wark, J. ;

Wuensch, K. ;

Gregori, G. .

PHYSICAL REVIEW LETTERS, 2009, 102 (16)

[4]

Berger J. O., 1985, Statistical Decision Theory and Bayesian Analysis, V2, DOI 10.1007/978-1-4757-4286-2

[5] DIFFERENCE IN X-RAY-SCATTERING BETWEEN METALLIC AND NONMETALLIC LIQUIDS DUE TO CONDUCTION ELECTRONS [J].

CHIHARA, J .

JOURNAL OF PHYSICS F-METAL PHYSICS, 1987, 17 (02) :295-304

[6] Simultaneous diagnosis of radial profiles and mix in NIF ignition-scale implosions via X-ray spectroscopy [J].

Ciricosta, O. ;

Scott, H. ;

Durey, P. ;

Hammel, B. A. ;

Epstein, R. ;

Preston, T. R. ;

Regan, S. P. ;

Vinko, S. M. ;

Woolsey, N. C. ;

Wark, J. S. .

PHYSICS OF PLASMAS, 2017, 24 (11)

[7] Measurements of continuum lowering in solid-density plasmas created from elements and compounds [J].

Ciricosta, O. ;

Vinko, S. M. ;

Barbrel, B. ;

Rackstraw, D. S. ;

Preston, T. R. ;

Burian, T. ;

Chalupsky, J. ;

Cho, B. I. ;

Chung, H-K ;

Dakovski, G. L. ;

Engelhorn, K. ;

Hajkova, V. ;

Heimann, P. ;

Holmes, M. ;

Juha, L. ;

Krzywinski, J. ;

Lee, R. W. ;

Toleikis, S. ;

Turner, J. J. ;

Zastrau, U. ;

Wark, J. S. .

NATURE COMMUNICATIONS, 2016, 7

[8] Detailed model for hot-dense aluminum plasmas generated by an x-ray free electron laser [J].

Ciricosta, O. ;

Vinko, S. M. ;

Chung, H. -K. ;

Jackson, C. ;

Lee, R. W. ;

Preston, T. R. ;

Rackstraw, D. S. ;

Wark, J. S. .

PHYSICS OF PLASMAS, 2016, 23 (02)

[9] Direct Measurements of the Ionization Potential Depression in a Dense Plasma [J].

Ciricosta, O. ;

Vinko, S. M. ;

Chung, H. -K. ;

Cho, B. -I. ;

Brown, C. R. D. ;

Burian, T. ;

Chalupsky, J. ;

Engelhorn, K. ;

Falcone, R. W. ;

Graves, C. ;

Hajkova, V. ;

Higginbotham, A. ;

Juha, L. ;

Krzywinski, J. ;

Lee, H. J. ;

Messerschmidt, M. ;

Murphy, C. D. ;

Ping, Y. ;

Rackstraw, D. S. ;

Scherz, A. ;

Schlotter, W. ;

Toleikis, S. ;

Turner, J. J. ;

Vysin, L. ;

Wang, T. ;

Wu, B. ;

Zastrau, U. ;

Zhu, D. ;

Lee, R. W. ;

Heimann, P. ;

Nagler, B. ;

Wark, J. S. .

PHYSICAL REVIEW LETTERS, 2012, 109 (06)

[10] Exotic Dense-Matter States Pumped by a Relativistic Laser Plasma in the Radiation-Dominated Regime [J].

Colgan, J. ;

Abdallah, J., Jr. ;

Faenov, A. Ya. ;

Pikuz, S. A. ;

Wagenaars, E. ;

Booth, N. ;

Culfa, O. ;

Dance, R. J. ;

Evans, R. G. ;

Gray, R. J. ;

Kaempfer, T. ;

Lancaster, K. L. ;

McKenna, P. ;

Rossall, A. L. ;

Skobelev, I. Yu. ;

Schulze, K. S. ;

Uschmann, I. ;

Zhidkov, A. G. ;

Woolsey, N. C. .

PHYSICAL REVIEW LETTERS, 2013, 110 (12)

← 1 2 3 4 5 6 →