Numi Beam Monitoring Simulation and Data Analysis*

With the Main Injector Neutrino Oscillation Search (MINOS) experiment decommissioned, muon and hadron monitors became an important diagnostic tool for the NuMI Off-axis $v_\mu$ Appearance (NOvA) experiment at Fermilab to monitor the Neutrinos at the Main Injector (NuMI) beam. The goal of this study is to maintain the quality of the monitor signals and to establish correlations with the neutrino beam profile. And we carry out a systematic study of the response of the muon monitors to the changes in the parameters of the proton beam and lattice parameters. Moreover, we combine individual pixel information of muon monitors and pattern recognition algorithms with measurement data to build a  machine learning-based predictions of the muon monitor response and neutrino flux.