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DOE OSTI · 1811848

Generative Modeling of ChemCam Spectroscopy Data Using Machine Learning

Klein, Natalie Elizabeth·Gasda, Patrick J.·Castorena, Juan Enrique·Oyen, Diane Adele
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Klein, Natalie Elizabeth, Gasda, Patrick J., Castorena, Juan Enrique, Oyen, Diane Adele. 2021-07-29. Generative Modeling of ChemCam Spectroscopy Data Using Machine Learning. https://www.osti.gov/biblio/1811848

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The global magnificent four theory is the homological version of a maximally supersymmetric $(8+1)$-dimensional gauge theory on a Calabi-Yau fourfold fibered over a circle. In the case of a toric fourfold we conjecture the formula for its twisted Witten index. String-theoretically we count the BPS states of a system of $D0$-$D2$-$D4$-$D6$-$D8$-branes on the Calabi-Yau fourfold in the presence of a large Neveu-Schwarz $B$-field. Mathematically, we develop the equivariant $K$-theoretic DT4 theory, by constructing the four-valent vertex with generic plane partition asymptotics. Physically, the vertex is a supersymmetric localization of a non-commutative gauge theory in $8+1$ dimensions.

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