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Title: Efficient learning of accurate surrogates for simulations of complex systems

Journal Article · · Nature Machine Intelligence

Machine learning methods are increasingly deployed to construct surrogate models for complex physical systems at a reduced computational cost. However, the predictive capability of these surrogates degrades in the presence of noisy, sparse or dynamic data. Here, we introduce an online learning method empowered by optimizer-driven sampling that has two advantages over current approaches: it ensures that all local extrema (including endpoints) of the model response surface are included in the training data, and it employs a continuous validation and update process in which surrogates undergo retraining when their performance falls below a validity threshold. We find, using benchmark functions, that optimizer-directed sampling generally outperforms traditional sampling methods in terms of accuracy around local extrema even when the scoring metric is biased towards assessing overall accuracy. Finally, the application to dense nuclear matter demonstrates that highly accurate surrogates for a nuclear equation-of-state model can be reliably autogenerated from expensive calculations using few model evaluations.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
2426829
Report Number(s):
LA-UR--20-24947
Journal Information:
Nature Machine Intelligence, Journal Name: Nature Machine Intelligence Journal Issue: 5 Vol. 6; ISSN 2522-5839
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

References (43)

Directed sampling datasets dataset January 2024
Genetic Algorithms + Data Structures = Evolution Programs book January 1992
Solar radiation estimation using artificial neural networks journal April 2002
Quark phases in neutron stars and a third family of compact stars as signature for phase transitions journal September 2000
On the selection of the most adequate radial basis function journal March 2009
Distributed Database Kriging for Adaptive Sampling ( D 2 K A S ) journal July 2015
Materials discovery and design using machine learning journal September 2017
Properties of hot and dense matter from relativistic heavy ion collisions journal March 2016
Climate Change 2014: Impacts, Adaptation and Vulnerability book January 2014
Tabulated Neutron Star Equations of State Modelled within the Chiral Mean Field Model journal January 2017
Recent advances and applications of machine learning in solid-state materials science journal August 2019
Stringent constraints on neutron-star radii from multimessenger observations and nuclear theory journal March 2020
Evidence for quark-matter cores in massive neutron stars journal June 2020
A Kriging-Based Approach to Autonomous Experimentation with Applications to X-Ray Scattering journal August 2019
Modeling and scale-bridging using machine learning: nanoconfinement effects in porous media journal August 2020
Fast machine-learning online optimization of ultra-cold-atom experiments journal May 2016
Core-Collapse Supernova Explosions Triggered by a Quark-Hadron Phase Transition During the Early Post-Bounce Phase journal May 2011
From hadrons to quarks in neutron stars: a review journal March 2018
An Automatic Method for Finding the Greatest or Least Value of a Function journal March 1960
Akmal-Pandharipande-Ravenhall equation of state for simulations of supernovae, neutron stars, and binary mergers journal August 2019
Conditions for phase equilibrium in supernovae, protoneutron, and neutron stars journal December 2009
New extended model of hadrons journal June 1974
Multiscale simulation of plasma flows using active learning journal August 2020
First-principles thermal conductivity of warm-dense deuterium plasmas for inertial confinement fusion applications journal April 2014
Path-Integral Monte Carlo Simulation of the Warm Dense Homogeneous Electron Gas journal April 2013
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral journal October 2017
Quarkyonic Matter and Neutron Stars journal March 2019
Nonmonotonic Energy Dependence of Net-Proton Number Fluctuations journal March 2021
Nuclear and neutron-star matter from local chiral interactions journal May 2020
Adaptive method for electron bunch profile prediction journal October 2015
Comparison of radial basis function approximation techniques
  • Coulomb, Jean‐Louis; Kobetski, Avenir; Caldora Costa, Mauricio
  • COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 22, Issue 3 https://doi.org/10.1108/03321640310475074
journal September 2003
Multimessenger constraints on the neutron-star equation of state and the Hubble constant journal December 2020
CompOSE CompStar online supernova equations of state harmonising the concert of nuclear physics and astrophysics compose.obspm.fr journal July 2015
Heavy Ion Collisions: The Big Picture and the Big Questions journal October 2018
Universal Approximation Using Radial-Basis-Function Networks journal June 1991
Building a Framework for Predictive Science conference January 2011
Finite-temperature Extension for Cold Neutron Star Equations of State journal April 2019
A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation journal December 2019
PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter journal December 2019
Constraints on the Dense Matter Equation of State and Neutron Star Properties from NICER’s Mass–Radius Estimate of PSR J0740+6620 and Multimessenger Observations journal September 2021
Directed sampling datasets dataset January 2024
Using Radial Basis Function Networks for Function Approximation and Classification journal March 2012
Parallel Distributed Processing book January 1986