HyperCube defines a differentiable algebraic complexity measure via associativity violation whose global infimum is attained if and only if the input table is isotopic to a group, with the minimizer being the regular representation up to unitary gauge.
•Collinearity Constraint:Under perfect collinearity (R= 0), Lemma 8 impliesA aA† a = α2 aX
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A Differentiable Measure of Algebraic Complexity: Provably Exact Discovery of Group Structures
HyperCube defines a differentiable algebraic complexity measure via associativity violation whose global infimum is attained if and only if the input table is isotopic to a group, with the minimizer being the regular representation up to unitary gauge.