The closest relative might be for compression, but Primorger emphasizes primary emergence — the new state must have qualitatively new emission properties. 8. Conclusion: The Primorger as a Minimal Model of Structural Learning The HMM Primorger is a thought experiment with practical potential. It bridges probabilistic sequence modeling and structural adaptation — two pillars of intelligence that are rarely integrated. By giving a Hidden Markov Model the ability to merge its own latent states into new primary entities , we move from inference to invention.
[ 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
| Failure Mode | Classical HMM | HMM Primorger | |--------------|---------------|----------------| | Novel regime emergence | Cannot create new hidden states | Actively merges existing states to form new primary regimes | | Structural adaptation | Requires offline retraining | Online, interventionist restructuring | | Predictive horizon collapse | Degrades after distribution shift | Re-organizes state space to maintain predictive power | | Causal opacity | Only infers | Infers and acts to simplify causal structure | The closest relative might be for compression, but