The paper defines dual-valued norms via Gateaux derivatives and uses the infinitesimal part of a dual Ky Fan norm to estimate the optimal number of coarse-grained states in causal emergence.
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Dual-Valued Functions of Dual Matrices with Applications in Causal Emergence
The paper defines dual-valued norms via Gateaux derivatives and uses the infinitesimal part of a dual Ky Fan norm to estimate the optimal number of coarse-grained states in causal emergence.