Samplinglib
Lean gate not recorded for this source state main · 0e31a3cda412

AutoSamplingTheory.SALD.cycle173EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDependencyNames

Data definition / provenance and workflow record

Meaning and type

The result has data type List String. A value of this type stores descriptions; it is not a proof of the statements in those descriptions.

Lean statement of this data definition

The part after the colon is the output data type. This declaration takes no mathematical proof inputs.

def cycle173EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDependencyNames :
    List String

Construction and field-by-field explanation

Construct an ordered list of the following data items. It is not a logical conjunction or proof DAG.

This Lean definition constructs provenance or workflow data. It does not prove the mathematical statements stored as text. Status labels, named dependencies and citations are data, not compilation, proof or source certificates.

Ordered data items

  1. SALD.cycle173GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceMiddleObligation
  2. SALD.cycle173GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceLower1Obligation
  3. SALD.cycle173GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceLower2Obligation
  4. SALD.cycle173GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDag
  5. ASTIS.SALD.cycle173.middle_refiner.hessian_source_contract_recheck
  6. ASTIS.SALD.cycle173.middle_refiner.reject_unsourced_projection_and_score_hessian
  7. ASTIS.SALD.cycle173.lower_1_refiner.source_hessian_field_proof_route
  8. ASTIS.SALD.cycle173.lower_2_packet.source_hessian_field_bridge
  9. SALD.selectedWeakTestHessianOpNormOfSourceHessianField
  10. SALD.cycle172GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceLower2Obligation
  11. SALD.cycle172GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDag
  12. SALD.gaussianRealSelectedTestSecondFDerivOpNormOfFDerivFDerivOpNorm
  13. SALD.gaussianRealStdOrthonormalBasisUnit
  14. SALD.gaussianRealSelectedTestDirectionalSecondBoundOfSecondFDerivOpNormStdOrthonormalBasis
  15. hHessianOpNorm
  16. hSecondFDerivOpNorm
  17. sourceTest
  18. sourceHessian
  19. testRegular
  20. hSourceHasHessian
  21. hSourceHessianBound
  22. SourceSelectedWeakTestC2bBoundedHessian proposed only as source-backed field
  23. SelectedWeakTestC2bBoundedHessian projection rejected without source backing
  24. iteration_complexity.tex:309-321 score Hessian bound rejected for sourceTest
  25. appendix.tex:984-995
  26. appendix.tex:1026-1072
  27. appendix.tex:1379-1387
  28. main_body.tex:273-305
  29. paper-wide original-source search excluding sald_version_2.tex
  30. source-contract-gap
  31. sald.general_moving_target_discrete.em_interpolation_fp
  32. sald.discrete_forward_kl.em_interpolation_fp
  33. thm:general-moving-target-SALD-discrete
Exact Lean data construction

Each field assignment stores the corresponding value shown above. Omitted fields use the explicitly identified schema defaults. Strings that name theorems remain strings; they do not call those theorems.

def cycle173EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDependencyNames :
    List String := [
  "SALD.cycle173GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceMiddleObligation",
  "SALD.cycle173GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceLower1Obligation",
  "SALD.cycle173GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceLower2Obligation",
  "SALD.cycle173GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDag",
  "ASTIS.SALD.cycle173.middle_refiner.hessian_source_contract_recheck",
  "ASTIS.SALD.cycle173.middle_refiner.reject_unsourced_projection_and_score_hessian",
  "ASTIS.SALD.cycle173.lower_1_refiner.source_hessian_field_proof_route",
  "ASTIS.SALD.cycle173.lower_2_packet.source_hessian_field_bridge",
  "SALD.selectedWeakTestHessianOpNormOfSourceHessianField",
  "SALD.cycle172GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceLower2Obligation",
  "SALD.cycle172GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDag",
  "SALD.gaussianRealSelectedTestSecondFDerivOpNormOfFDerivFDerivOpNorm",
  "SALD.gaussianRealStdOrthonormalBasisUnit",
  "SALD.gaussianRealSelectedTestDirectionalSecondBoundOfSecondFDerivOpNormStdOrthonormalBasis",
  "hHessianOpNorm",
  "hSecondFDerivOpNorm",
  "sourceTest",
  "sourceHessian",
  "testRegular",
  "hSourceHasHessian",
  "hSourceHessianBound",
  "SourceSelectedWeakTestC2bBoundedHessian proposed only as source-backed field",
  "SelectedWeakTestC2bBoundedHessian projection rejected without source backing",
  "iteration_complexity.tex:309-321 score Hessian bound rejected for sourceTest",
  "appendix.tex:984-995",
  "appendix.tex:1026-1072",
  "appendix.tex:1379-1387",
  "main_body.tex:273-305",
  "paper-wide original-source search excluding sald_version_2.tex",
  "source-contract-gap",
  "sald.general_moving_target_discrete.em_interpolation_fp",
  "sald.discrete_forward_kl.em_interpolation_fp",
  "thm:general-moving-target-SALD-discrete"
  ]

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