EN / KO

News

Research

Home News What's New Research

Title
[Dr. Kayoung Ban, Research Fellow, School of Physics] Proposes a Lebesgue-type stratified sampling method and implements it using machine learning for improving Monte Carlo integration efficiency
Date
2026-04-22

To improve the efficiency of Monte Carlo integration, this study proposes a machine learning algorithm for stratified sampling that divides the domain space based on the integrand's value, analogous to Lebesgue integration. By utilizing neural networks to learn complex isocontours and preclassify the space, the framework significantly reduces variance in multidimensional integration. This methodology has proven highly effective when applied to high-energy physics, facilitating faster and more precise scattering amplitude calculations and event generation.

 

▶  The Figure illustrates the neural network learning to classify data points into their corresponding subregions based on the isocontours of the integrand. This enables fast and accurate prediction of complex partitions in a multidimensional domain space, thereby maximizing integration efficiency.

 

Journal

COMPUTER PHYSICS COMMUNICATIONS

Publication Date

1 February, 2026

Article

LeStrat-Net: Lebesgue style stratification for Monte Carlo simulations powered by machine learning

Authors

Ban, Kayoung; Park, Myeonghun; Ramos, Raymundo

DOI

https://doi.org/10.48550/arXiv.2412.13982

Link

https://www.sciencedirect.com/science/article/abs/pii/S0010465525004084