An HMM Primorger addresses four critical failures of standard HMMs:
[ P(O_1:T, S_1:T) = P(S_1) \prod_t=2^T P(S_t | S_t-1) \prod_t=1^T P(O_t | S_t) ] hmm primorger
And perhaps, at the deepest level, every act of human concept formation is just an HMM Primorger running in the neocortex, quietly merging old ideas into new ones, and mistaking the result for a discovery. This article is a theoretical construct. The term “HMM Primorger” is introduced here for speculative and analytical purposes. No existing software, commercial product, or academic paper currently describes such an entity — but that may change as autonomous probabilistic systems evolve. An HMM Primorger addresses four critical failures of