OAI/Probability/LogConcave/Sampling/ConditionalFieldMean.lean

GitHub source file

27 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.LogConcaveSampling.primitiveField_inner_growth line 23
  2. theorem OAI.LogConcaveSampling.conditionalFieldMean_logLaplace line 28
  3. theorem OAI.LogConcaveSampling.conditionalFieldMean_jet line 46
  4. lemma OAI.LogConcaveSampling.covariance_sq_le line 93
  5. lemma OAI.LogConcaveSampling.Appell.powerset_singleton line 103
  6. lemma OAI.LogConcaveSampling.Appell.inverseMoment_singleton line 108
  7. lemma OAI.LogConcaveSampling.Appell.polynomial_singleton line 114
  8. lemma OAI.LogConcaveSampling.Appell.dir_normalizedLaplace_zero line 118
  9. theorem OAI.LogConcaveSampling.conditionalFieldMean_dir_cov line 140
  10. def OAI.LogConcaveSampling.conditionalFieldMean line 181
  11. lemma OAI.LogConcaveSampling.conditionalField_integrable line 184
  12. lemma OAI.LogConcaveSampling.conditionalFieldMean_inner line 193
  13. lemma OAI.LogConcaveSampling.conditionalFieldMean_smooth line 200
  14. lemma OAI.LogConcaveSampling.conditional_covariance_le line 218
  15. lemma OAI.LogConcaveSampling.conditionalFieldMean_inner_deriv line 249
  16. theorem OAI.LogConcaveSampling.conditionalFieldMean_lipschitz line 266
  17. def OAI.LogConcaveSampling.quadraticTilt line 302
  18. def OAI.LogConcaveSampling.quadraticLinear line 306
  19. def OAI.LogConcaveSampling.quadraticDerivative line 310
  20. lemma OAI.LogConcaveSampling.quadraticLinear_apply line 314
  21. lemma OAI.LogConcaveSampling.continuous_quadraticLinear line 318
  22. lemma OAI.LogConcaveSampling.norm_quadraticLinear line 322
  23. lemma OAI.LogConcaveSampling.continuous_quadraticDerivative line 338
  24. lemma OAI.LogConcaveSampling.growth_quadraticDerivative line 342
  25. lemma OAI.LogConcaveSampling.integrable_quadraticTilt line 371
  26. lemma OAI.LogConcaveSampling.hasFDerivAt_quadraticTilt line 381
  27. theorem OAI.LogConcaveSampling.contDiffAt_quadraticTilt line 432