“…Such models combine the extensive, accurate, finite-temperature thermodynamic sampling afforded by an ML potential, as in a series of the previous works 45,47,49,50,57,58,60,77,78 , with the expressiveness and utility of an ML property model. Particularly relevant are the studies using a potential energy surface combined with a dipole-moment model for studying the infrared spectra of isolated molecules 79,80 . To date, such combined models have not yet been applied to ferroelectric materials; one important difficulty for ML modeling is the multi-valued character of the polarization in the condensed phase (although see ref.…”