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Claim 5 limitations and deviations
This is a falsification of the exact “consistent improvements” quantifier, using the paper's complete reported result domain and a different-seed corroborating table. It does not rerun the authors' single-H100 image training on CPU, estimate per-seed significance from unavailable raw seed values, or deny the selected-step improvements for KL and chi-squared.
Because the imported Claim 5 is conjunctive, one valid counterexample to the consistency conjunct falsifies that exact claim. The broader statement that JKO can help some objectives remains supported by the same table.