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

AutoSamplingTheory.SALD.cycle179EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianAuditScalarLineCoeffDependencyNames

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 cycle179EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianAuditScalarLineCoeffDependencyNames :
    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.cycle179GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianAuditScalarLineCoeffMiddleObligation
  2. SALD.cycle179GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoScalarLineCoeffLower1Obligation
  3. SALD.cycle179GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoScalarLineCoeffLower2Obligation
  4. SALD.cycle179GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianAuditScalarLineCoeffDag
  5. ASTIS.SALD.cycle179.middle_packet.source_hessian_audit_closed
  6. ASTIS.SALD.cycle179.middle_packet.scalar_line_second_coeff_lower_route
  7. ASTIS.SALD.cycle179.middle_packet.lower_2_exact_target
  8. ASTIS.SALD.cycle179.lower_1_packet.scalar_line_taylor_coeff_route
  9. ASTIS.SALD.cycle179.lower_2_packet.scalar_line_second_coeff_from_taylor_coeff
  10. ASTIS.SALD.cycle179.reviewer_hessian_audit_scalar_coeff_check
  11. SALD.selectedWeakTestHessianOpNormOfSourceHessianField
  12. SALD.selectedWeakTestScalarLineSecondCoeffDefOfTaylorCoeffWithin
  13. SALD.selectedWeakTestSecondTaylorCoeffDefOfScalarLineSecondCoeffDef
  14. SALD.selectedWeakTestQuadraticVariationNormalizationOfScalarLineSecondCoeffAndNormalizedVarianceDef
  15. SALD.selectedWeakTestNormalizedVarianceDefOfGaussianRealUnitLaw
  16. SALD.selectedWeakTestNormalizedCoordinateLawOfStdGaussianVectorLaw
  17. hSourceHasHessian
  18. hSourceHessianBound
  19. sourceHessian
  20. hScalarLineSecondCoeffDef
  21. hScalarLineTaylorCoeffDef
  22. taylorCoeffWithin
  23. iteratedDerivWithin_univ
  24. hNormalizedVectorLaw
  25. hCoordinateLawDef
  26. hVarianceDef
  27. hSecondCoeff
  28. hFrozenScalarBrownianItoTaylorMomentDecomposition
  29. hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes
  30. hFrozenScalarBrownianItoEventFieldCoordinateSum
  31. eq:SALD_general_EM
  32. eq:general_moving_target_SALD_frozen_interp
  33. eq:increment_basic_bound_revised
  34. appendix.tex:958-970
  35. appendix.tex:984-995
  36. appendix.tex:1026-1072
  37. appendix.tex:1170-1176
  38. appendix.tex:1379-1387
  39. main_body.tex:273-305
  40. iteration_complexity.tex:309-321 score Hessian bound rejected for sourceTest
  41. paper-wide original-source search excluding sald_version_2.tex
  42. source-contract-gap for selected weak-test Hessian fields
  43. sald.general_moving_target_discrete.em_interpolation_fp
  44. sald.discrete_forward_kl.em_interpolation_fp
  45. 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 cycle179EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianAuditScalarLineCoeffDependencyNames :
    List String := [
  "SALD.cycle179GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianAuditScalarLineCoeffMiddleObligation",
  "SALD.cycle179GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoScalarLineCoeffLower1Obligation",
  "SALD.cycle179GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoScalarLineCoeffLower2Obligation",
  "SALD.cycle179GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianAuditScalarLineCoeffDag",
  "ASTIS.SALD.cycle179.middle_packet.source_hessian_audit_closed",
  "ASTIS.SALD.cycle179.middle_packet.scalar_line_second_coeff_lower_route",
  "ASTIS.SALD.cycle179.middle_packet.lower_2_exact_target",
  "ASTIS.SALD.cycle179.lower_1_packet.scalar_line_taylor_coeff_route",
  "ASTIS.SALD.cycle179.lower_2_packet.scalar_line_second_coeff_from_taylor_coeff",
  "ASTIS.SALD.cycle179.reviewer_hessian_audit_scalar_coeff_check",
  "SALD.selectedWeakTestHessianOpNormOfSourceHessianField",
  "SALD.selectedWeakTestScalarLineSecondCoeffDefOfTaylorCoeffWithin",
  "SALD.selectedWeakTestSecondTaylorCoeffDefOfScalarLineSecondCoeffDef",
  "SALD.selectedWeakTestQuadraticVariationNormalizationOfScalarLineSecondCoeffAndNormalizedVarianceDef",
  "SALD.selectedWeakTestNormalizedVarianceDefOfGaussianRealUnitLaw",
  "SALD.selectedWeakTestNormalizedCoordinateLawOfStdGaussianVectorLaw",
  "hSourceHasHessian",
  "hSourceHessianBound",
  "sourceHessian",
  "hScalarLineSecondCoeffDef",
  "hScalarLineTaylorCoeffDef",
  "taylorCoeffWithin",
  "iteratedDerivWithin_univ",
  "hNormalizedVectorLaw",
  "hCoordinateLawDef",
  "hVarianceDef",
  "hSecondCoeff",
  "hFrozenScalarBrownianItoTaylorMomentDecomposition",
  "hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes",
  "hFrozenScalarBrownianItoEventFieldCoordinateSum",
  "eq:SALD_general_EM",
  "eq:general_moving_target_SALD_frozen_interp",
  "eq:increment_basic_bound_revised",
  "appendix.tex:958-970",
  "appendix.tex:984-995",
  "appendix.tex:1026-1072",
  "appendix.tex:1170-1176",
  "appendix.tex:1379-1387",
  "main_body.tex:273-305",
  "iteration_complexity.tex:309-321 score Hessian bound rejected for sourceTest",
  "paper-wide original-source search excluding sald_version_2.tex",
  "source-contract-gap for selected weak-test Hessian fields",
  "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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