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Permuting complete weight vectors between samples quantifies the same role-state dependence while preserving their empirical distribution in Persistent Tri-State Message Passing, which combines persistent additive, subtractive, and inactive roles with weights computed from each sample's endpoint states.
This work provides theoretical guarantees for the selective blocking rule by deriving the signed-versus-blocked decision boundary, separating signed-matrix effects from nonnegative block-operator spectral arguments, and showing when adaptive blocking preserves class-dependent components.
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