The sudden structural transformations experienced by cognitive systems duringevolution are difficult to characterise with traditional continuous dynamics frameworks. This paper constructs a mathematical framework that maps cognitive statespaces to sequences of filtered simplicial complexes, and employs persistent homol...
changzheng zhou, ziqing zhou· Zenodo (CERN European Organi...· 0 citations
The quantification of causal emergence faces a fundamental difficulty: how canmacroscopic causal power be identified in microscopic dynamics without falling intoa circular reliance on a presupposed coarse-graining strategy? In this paper, theconstraint network of a cognitive system is modelled as a simplicial complex,...
changzheng zhou, ziqing zhou· Zenodo (CERN European Organi...· 0 citations
Cognitive systems face the interface problem between continuous perceptualinputs and discrete symbolic representations. This paper models the perceptionsymbol interface as a fiber bundle structure, with the perceptual manifold as thebase space and the candidate symbol distribution simplex as the fiber, and specifiesthe...
changzheng zhou, ziqing zhou· Zenodo (CERN European Organi...· 0 citations
Cognitive systems face the interface problem between continuous perceptualinputs and discrete symbolic representations. This paper models the perceptionsymbol interface as a fiber bundle structure, with the perceptual manifold as thebase space and the candidate symbol distribution simplex as the fiber, and specifiesthe...
changzheng zhou, ziqing zhou· Zenodo (CERN European Organi...· 0 citations
The evolution of scientific theories exhibits a pronounced hierarchical character,with each level providing effective predictions within specific operational boundaries, and undergoing structural transitions at these boundaries. Based on empirical patterns from the history of science and hard constraints from formal sy...
changzheng zhou, ziqing zhou· Zenodo (CERN European Organi...· 0 citations
The evolution of scientific theories exhibits a pronounced hierarchical character,with each level providing effective predictions within specific operational boundaries, and undergoing structural transitions at these boundaries. Based on empirical patterns from the history of science and hard constraints from formal sy...
changzheng zhou, ziqing zhou· Zenodo (CERN European Organi...· 0 citations
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