Asymptotic Semantic Collapse in Hierarchical Optimization
• Asymptotic Semantic Collapse: dominant context absorbs individual semantics in multi‑agent language systems. • Dominant Anchor Node with infinite inertia drives asymptotic alignm
Information Theory
Scientists reveal why human language isn't like computer code
• Human language is rich, yet could be compressed into binary, raising questions about efficiency. • Researchers Hahn and Futrell model why natural language remains complex instead
A New Perspective of Entropy
• Introduces a novel link between Shannon entropy and topological simplices via operad derivations. • Explores how entropy functions satisfy a Leibniz-like rule on simplicial struc
Entropy + Algebra + Topology = ?
• Introduces function d(x) = -x log x, a derivation reminiscent of Leibniz rule. • d relates to Shannon entropy, but is nonlinear, so H(p) ≠ d(∑ p_i). • Paper shows Shannon entropy