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The matrix element method is the LHC inference method of choice for limitedstatistics. We present a dedicated machine learning framework, based onefficient phase-space integration, a learned acceptance and transfer function.It is based on a choice of INN and diffusion networks, and a transformer tosolve jet combinatorics. We showcase this setup for the CP-phase of the topYukawa coupling in associated Higgs and single-top production.

Precision-Machine Learning for the Matrix Element Method