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@article{EnergyLandscapesInMachineLearningReview,
author = {M. P. Niroomand and L. Dicks and E. O. Pyzer-Knapp and D. J. Wales},
title = {{Insights into machine learning models from chemical physics: an energy landscapes approach (EL for ML)}},
journal = {Digital Discovery},
year = {2023},
}
@book{EnergyLandscapesBook,
author = {D. J. Wales},
title = {Energy landscapes},
publisher = {Cambridge University Press},
year = {2003},
address = {Cambridge, UK},
}
@article{EnergyLandscapesReview,
author = {D. J. Wales},
title = {Exploring energy landscapes},
journal = {Ann. Rev. Phys. Chem.},
volume = {69},
pages = {401--425},
year = {2017},
}
Neural networks
@article{ClassifierEvaluation,
author = {M. P. Niroomand and C. T. Cafolla and J. W. R. Morgan and D. J. Wales},
title = {Characterising the area under the curve loss function landscape},
journal = {Mach. Learn.: Sci. Technol.},
volume = {3},
pages = {015019},
year = {2022},
}
@article{DeepNeuralNetworks,
author = {P. C. Verpoort and A. A. Lee and D. J. Wales},
title = {Archetypal landscapes for deep neural networks},
journal = {Proc. Natl. Acad. Sci. U.S.A.},
volume = {8},
pages = {21857--21864},
year = {2020},
}
@article{EnsemblingSolutions,
author = {M. P. Niroomand and J. W. R. Morgan and C. T. Cafolla and D. J. Wales},
title = {On the capacity and superposition of minima in neural network loss function landscapes},
journal = {Mach. Learn.: Sci. Technol.},
volume = {3},
pages = {025004},
year = {2022},
}
Clustering
@article{KMeansSolutionSpace,
author = {L. Dicks and D. J. Wales},
title = {{Elucidating the solution structure of the $K$-means cost function using energy landscape theory}},
year = {2022},
journal = {J. Chem. Phys.},
pages = {054109},
volume = {156},
}
@article{EffectOfOutliers,
author = {L. Dicks and D. J. Wales},
title = {{Evolution of $K$-means solution landscapes with the addition of dataset outliers and a robust clustering comparison measure for their analysis}},
year = {2023},
journal = {arXiv},
}
@article{EstimatingNumberOfClusters,
author = {Y. Wu and L. Dicks and D. J. Wales},
title = {{Archetypal solution spaces for clustering gene expression datasets in identifying cancer subtypes}},
year = {2023},
journal = {arXiv},
}
Gaussian processes
@article{EnsemblingSolutions,
author = {M. P. Niroomand and L. Dicks and E. O. Pyzer-Knapp and D. J. Wales},
title = {{Physics inspired approaches to understanding Gaussian processes}},
year = {2023},
journal = {arXiv},
}
Dataset roughness
@article{MolecularDatasetRoughness,
author = {L. Dicks and D. E. Graff and K. E. Jordan and C. W. Coley and E. O. Pyzer-Knapp},
title = {{Physics-inspired roughness measures for chemical datasets and structure-property relationships}},
year = {2024},
journal = {Mol. Syst. Eng. Des.},
}
Global optimisation
@article{BasinHopping,
author = {D. J. Wales and J. P. K. Doye},
title = {{Global optimization by basin-hopping and the lowest energy structures of Lennard-Jones clusters containing up to 100 atoms}},
year = {1997},
journal = {J. Phys. Chem. A},
pages = {5111--5116},
volume = {101},
}
Transition state searches
@article{NudgedElasticBand,
author = {G. Henkelman and B. P. Uberuaga and H. J\'{o}nsson},
title = {{A climbing image nudged elastic band method for finding saddle points and minimum energy paths}},
journal = {J. Chem. Phys.},
year = 2000,
pages = {9901--9904},
volume = 113,
}
@article{HybridEigenvectorFollowing,
author = {L. J. Munro and D. J. Wales},
title = {{Defect migration in crystalline silicon}},
journal = {Phys. Rev. B},
year = 1999,
pages = {3969--3980},
volume = 59,
}