Hmm Primorger 【SAFE ✪】

| 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 |

[ \Pi: (\mathcalH, \mathcalO, \Theta) \rightarrow (\mathcalH', \mathcalO', \Theta') ] hmm primorger

[ 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) ] | Failure Mode | Classical HMM | HMM