Impact of non-normal error distributions on the benchmarking and ranking of quantum machine learning models

Pascal Pernot, Bing Huang, Andreas Savin B

Machine Learning Science and Technology 2020 article cited by 26

importance 3/10 partially solved Machine Learning in Materials Science computational chemistry stage: research

Benchmarking quantum machine learning models with Mean Absolute Error learning curves can misrepresent true performance when error distributions are non-normal.

Misleading benchmarks can lead atomistic simulation communities to rank and adopt inferior models.

Analyzed prediction error distributions of a kernel ridge regression model on QM7b atomization energies and showed MAE poorly assesses its true performance, with notable improvement possible.

Showed MAE poorly assesses true KRR-SLATM-L2 performance on QM7b (CCSD(T)/cc-pVDZ); assessment notably improvable (method truncated in abstract).

Identifies a concrete flaw in standard benchmarking practice for quantum ML models.

Venue Machine Learning Science and Technology
Published 2020
Work type article
Authors Pascal Pernot, Bing Huang, Andreas Savin B
Citations 26 (OpenAlex, at import time)
References 36
Model or method KRR-SLATM-L2 (kernel ridge regression with SLATM representation, L2 metric)
Organization not stated in source
Primary source https://doi.org/10.1088/2632-2153/aba184
Open access gold
Keywords quantum machine learning, benchmarking, mean absolute error, kernel ridge regression, QM7b
3 / 10

incremental / niche

Methodological critique of MAE benchmarking for quantum ML models; relevant to atomistic simulation communities but a narrow, incremental advance with no stated broader impact.

Basis: inferred. Judged from the source text, which gives no explicit scale. Stated scale: not stated in source. Method and limits.

# Paper Year Citations Importance
1 Neural‐Symbolic Machine Learning for Retrosynthesis and Reaction Prediction
Marwin Segler, Mark P. Waller
2017 549
7
2 Learning interpretable network dynamics via universal neural symbolic regression
Jiao Hu, Jiaxu Cui, Bo Xiong Yang
2025 13
7
3 Data-driven Chemical Reaction Prediction and Retrosynthesis
Vishnu H Nair, Philippe Schwaller, Teodoro Laino
2019 32
7
4 Incorporating the image formation process into deep learning improves network performance
Yue Li, Yijun P. Su, Min Yi Guo, Xiaofei Han, Jiamin Liu, Harshad D. V...
2022 123
6
5 Generative and reinforcement learning approaches for the automated de novo design of bioactive compounds
Maria V. Korshunova, Niles Huang, Stephen J. Capuzzi, Dmytro S. Radche...
2022 101
6