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Diluted spin-glass variational model library

Family 221: The Mézard–Parisi formula for diluted spin glasses. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Constraint-model researchers can organize hierarchical cavity free-energy approximations for admissible diluted even-arity systems.

Applicability and commercial boundary

The exact limiting infimum over hierarchical trial laws need not have an efficient finite-depth optimizer or usable truncation error. Factorization, positivity and moment assumptions matter.

Initial business decision

Conditional research. Buyer budget, commercial novelty and profitability are unvalidated.

Next verification action

Inspect a computable trial-law family and a convergence bound before claiming faster model fitting.

Evidence scope

The catalog statement was individually reviewed. This record does not imply a manuscript proof review or formal-scope comparison. No independent Lean check was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Main source

The Mézard–Parisi formula for diluted spin glasses.