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
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