Prove PSD Loewner variance-proxy norm monotonicity#26
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Prove PSD Loewner variance-proxy norm monotonicity#26freezed-corpse-143 wants to merge 1 commit into
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Constraint: The bridge is only deterministic PSD Loewner-to-operator-norm monotonicity, not a Tropp/Lieb or centered-square-chain proof. Rejected: Proving a broader Matrix Bernstein wrapper here | would hide unrelated analytic and trace-MGF blockers. Confidence: high Scope-risk: narrow Directive: Reuse deterministicMatrixVarianceProxyNorm_mono_of_matrixLE as the contract witness; keep remaining centered-square and Tropp assumptions explicit. Tested: python .github/scripts/check_text_quality.py; python scripts/judge_policy_check.py; git diff --check; lake build HighDimProbJudge; lake test; lake build Not-tested: GitHub CI not run locally.
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Integrated into main via a6aa38d with docs cleanup. |
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Summary
deterministicMatrixVarianceProxyNorm_mono_of_matrixLE, discharging the deterministic PSD Loewner-to-operator-norm monotonicity provider contract.posSemidef_of_isPSDMatrix,matrix_nonneg_of_isPSDMatrix, andmatrix_le_of_matrixLE.#checkcoverage and updates RandomMatrix docs to mark this deterministic provider as proved while keeping Tropp/Lieb, trace-MGF, centered-square comparisons, and integrability assumptions explicit.Scope
This is a deterministic order/norm bridge only. It does not prove Tropp/Lieb, Golden-Thompson, trace-MGF iteration, full Matrix Bernstein, or unconditional sample-covariance concentration.
Stacked PR:
rm-vp-centered-square-chain-providerrm-vp-psd-loewner-operator-norm-monotonicityTesting
python .github/scripts/check_text_quality.pypython scripts/judge_policy_check.pygit diff --checklake build HighDimProbJudgelake testlake buildNotes
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