OAI/Probability/Perceptron/Variational/FieldWord.lean
20 declarations, 0 contain sorry, 0 declared as axioms
- lemma
OAI.SphericalPerceptronFreeEnergy.cascadeHeatWord_eq_ofFnline 12 - def
OAI.SphericalPerceptronFreeEnergy.fieldVariancesline 25 - def
OAI.SphericalPerceptronFreeEnergy.fieldExponentsline 28 - lemma
OAI.SphericalPerceptronFreeEnergy.fieldVariances_nonnegline 31 - lemma
OAI.SphericalPerceptronFreeEnergy.fieldVariances_sumline 37 - lemma
OAI.SphericalPerceptronFreeEnergy.fieldExponents_nonnegline 44 - lemma
OAI.SphericalPerceptronFreeEnergy.fieldExponents_lt_oneline 48 - lemma
OAI.SphericalPerceptronFreeEnergy.fieldExponents_strictMonoline 52 - lemma
OAI.SphericalPerceptronFreeEnergy.stepFieldIncrement_reverseline 61 - lemma
OAI.SphericalPerceptronFreeEnergy.fieldWord_eqline 70 - def
OAI.SphericalPerceptronFreeEnergy.sphericalHeatValueline 76 - lemma
OAI.SphericalPerceptronFreeEnergy.finiteSphericalFieldValue_eq_heatline 80 - def
OAI.SphericalPerceptronFreeEnergy.varianceLevelsline 99 - lemma
OAI.SphericalPerceptronFreeEnergy.varianceLevels_zeroline 102 - lemma
OAI.SphericalPerceptronFreeEnergy.varianceLevels_lastline 105 - lemma
OAI.SphericalPerceptronFreeEnergy.varianceLevels_incrementline 109 - lemma
OAI.SphericalPerceptronFreeEnergy.fieldVariances_varianceLevelsline 129 - lemma
OAI.SphericalPerceptronFreeEnergy.varianceLevels_monotoneline 136 - lemma
OAI.SphericalPerceptronFreeEnergy.varianceLevels_nonnegline 143 - lemma
OAI.SphericalPerceptronFreeEnergy.gaussianGrid_spherical_lastline 150