OAI/Probability/Perceptron/Cascade/DecoratedWeightedTotal.lean
31 declarations, 0 contain sorry, 0 declared as axioms
- lemma
OAI.SphericalPerceptronFreeEnergy.decoratedWeightedTotalE_measurableline 15 - lemma
OAI.SphericalPerceptronFreeEnergy.decoratedWeightedTotalE_countingline 24 - def
OAI.SphericalPerceptronFreeEnergy.decoratedWeightedTotalline 39 - lemma
OAI.SphericalPerceptronFreeEnergy.decoratedWeightedTotal_transformline 43 - lemma
OAI.SphericalPerceptronFreeEnergy.decoratedWeightedTotal_identDistribline 49 - theorem
OAI.SphericalPerceptronFreeEnergy.decoratedCascade_log_identityline 67 - lemma
OAI.SphericalPerceptronFreeEnergy.decoratedCascade_log_difference_memLpline 102 - def
OAI.SphericalPerceptronFreeEnergy.fractionalLogMomentline 120 - lemma
OAI.SphericalPerceptronFreeEnergy.fractionalLogMoment_measurableline 124 - lemma
OAI.SphericalPerceptronFreeEnergy.bounded_fractional_exp_integrableline 129 - lemma
OAI.SphericalPerceptronFreeEnergy.fractionalLogMoment_abs_leline 138 - lemma
OAI.SphericalPerceptronFreeEnergy.fractionalLogMoment_centeredline 166 - def
OAI.SphericalPerceptronFreeEnergy.finiteCascadeLogRecursionline 187 - lemma
OAI.SphericalPerceptronFreeEnergy.finiteCascadeLogRecursion_measurableline 194 - lemma
OAI.SphericalPerceptronFreeEnergy.finiteCascadeLogRecursion_abs_leline 202 - def
OAI.SphericalPerceptronFreeEnergy.finiteCascadeShiftsline 213 - lemma
OAI.SphericalPerceptronFreeEnergy.finiteCascadeShifts_measurableline 222 - lemma
OAI.SphericalPerceptronFreeEnergy.finiteCascadeShifts_normalizedline 234 - def
OAI.SphericalPerceptronFreeEnergy.decoratedTerminalTotalEline 253 - lemma
OAI.SphericalPerceptronFreeEnergy.decoratedTerminalTotalE_telescopingline 259 - lemma
OAI.SphericalPerceptronFreeEnergy.decoratedTerminalTotalE_zeroline 286 - def
OAI.SphericalPerceptronFreeEnergy.decoratedTerminalTotalline 299 - lemma
OAI.SphericalPerceptronFreeEnergy.decoratedTerminalTotal_telescopingline 303 - lemma
OAI.SphericalPerceptronFreeEnergy.decoratedTerminalTotal_zeroline 312 - theorem
OAI.SphericalPerceptronFreeEnergy.finiteCascade_terminal_log_recursionline 317 - def
OAI.SphericalPerceptronFreeEnergy.finiteCascadeFractionalIntegrableline 331 - lemma
OAI.SphericalPerceptronFreeEnergy.finiteCascadeFractionalIntegrable_of_boundedline 339 - lemma
OAI.SphericalPerceptronFreeEnergy.finiteCascadeShifts_normalized_of_fractionalline 355 - theorem
OAI.SphericalPerceptronFreeEnergy.finiteCascade_terminal_log_recursion_of_fractionalline 371 - lemma
OAI.SphericalPerceptronFreeEnergy.stableIntensity_descendant_transform_markedline 385 - lemma
OAI.SphericalPerceptronFreeEnergy.stablePoisson_descendant_transform_markedline 408