“…The first approach uses rewrite rules (Chomsky and Halle, 1968 ) or finite state automata (Heinz, 2010 ; Chandlee, 2014 ) to derive outputs from inputs through derivation. A connectionist approach called Optimality Theory (Prince and Smolensky, 2004 ) and related proposals such as Harmonic Grammar and Maximum Entropy (MaxEnt) grammar (Legendre et al, 1990 , 2006 ; Goldwater and Johnson, 2003 ; Wilson, 2006 ; Hayes and Wilson, 2008 ; Pater, 2009 ; Hayes and White, 2013 ; White, 2014 , 2017 ), on the other hand, model phonological grammar as input-output pairing: the grammar chooses the most optimal output given an input. These models were heavily influenced by the early advances in neural network research (Alderete and Tupper, 2018a ; Pater, 2019 ).…”