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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. | |