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Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Classifying topological sector via machine learning
M. Kitazawa,* T. Matsumoto, Y. Kohno
*corresponding author
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Pre-published on: 2020 January 04
Published on:
Abstract
We employ a machine learning technique for an estimate of the topological charge $Q$ of gauge configurations in SU(3) Yang-Mills theory in vacuum. As a first trial, we feed the four-dimensional topological charge density with and without smoothing into the convolutional neural network and train it to estimate the value of $Q$. We find that the trained neural network can estimate the value of $Q$ from the topological charge density at small flow time with high accuracy. Next, we perform the dimensional reduction of the input data as a preprocessing and analyze lower dimensional data by the neural network. We find that the accuracy of the neural network does not have statistically-significant dependence on the dimension of the input data. From this result we argue that the neural network does not find characteristic features responsible for the determination of $Q$ in the higher dimensional space.
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