Index

A

adaptive_geometric_arithmetic_harmonic_geodesic() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler_symmetrized) adaptive_geometric_arithmetic_harmonic_mean() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler_symmetrized) AdaptiveGeometricArithmeticHarmonicGeodesic (class in yetanotherspdnet.functions.spd_geometries.kullback_leibler_symmetrized) AdaptiveGeometricArithmeticHarmonicMean() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler_symmetrized) affine_invariant_exp() (in module yetanotherspdnet.functions.spd_geometries.affine_invariant) affine_invariant_geodesic() (in module yetanotherspdnet.functions.spd_geometries.affine_invariant) affine_invariant_log() (in module yetanotherspdnet.functions.spd_geometries.affine_invariant) affine_invariant_mean() (in module yetanotherspdnet.functions.spd_geometries.affine_invariant) affine_invariant_mean_2points() (in module yetanotherspdnet.functions.spd_geometries.affine_invariant) affine_invariant_norm() (in module yetanotherspdnet.nn.rresnet_layers)

affine_invariant_projx() (in module yetanotherspdnet.functions.spd_geometries.affine_invariant) affine_invariant_std_scalar() (in module yetanotherspdnet.functions.spd_geometries.affine_invariant) AffineInvariantExp (class in yetanotherspdnet.functions.spd_geometries.affine_invariant) AffineInvariantGeodesic (class in yetanotherspdnet.functions.spd_geometries.affine_invariant) AffineInvariantMean() (in module yetanotherspdnet.functions.spd_geometries.affine_invariant) AffineInvariantMean2Points (class in yetanotherspdnet.functions.spd_geometries.affine_invariant) AffineInvariantMeanIteration (class in yetanotherspdnet.functions.spd_geometries.affine_invariant) AffineInvariantStdScalar (class in yetanotherspdnet.functions.spd_geometries.affine_invariant) arithmetic_mean() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler) ArithmeticMean (class in yetanotherspdnet.functions.spd_geometries.kullback_leibler)

B

backward() (AdaptiveGeometricArithmeticHarmonicGeodesic static method) (AffineInvariantExp static method) (AffineInvariantGeodesic static method) (AffineInvariantMean2Points static method) (AffineInvariantMeanIteration static method) (AffineInvariantStdScalar static method) (ArithmeticMean static method) (BuresWassersteinStdScalar static method) (CongruenceRectangular static method) (CongruenceSPD static method) (EighReLu static method) (EighReLuBias static method) (EuclideanGeodesic static method) (ExpmSymmetric static method) (HarmonicCurve static method) (HarmonicMean static method) (InvScaledSoftPlusSPD static method) (InvSqrtmSPD static method) (LeftKullbackLeiblerStdScalar static method) (LogEuclideanStdScalar static method) (LogmSPD static method) (LyapunovSolveSPD static method) (MEstimator static method) (ParallelTransportFromIdentityBW static method) (PowmSPD static method) (RightKullbackLeiblerStdScalar static method) (ScaledSoftPlusSymmetric static method) (SqrtmSPD static method) (StiefelProjectionPolar static method) (StiefelProjectionQR static method) (StiefelProjectionTangentOrthogonal static method) (SymmetrizedKullbackLeiblerStdScalar static method) (VecBatch static method) (VechBatch static method) (Whitening static method)

BatchNormSPDMean (class in yetanotherspdnet.nn.batchnorm) BatchNormSPDMeanScalarVariance (class in yetanotherspdnet.nn.batchnorm) BiMap (class in yetanotherspdnet.nn) bures_wasserstein_bias() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) bures_wasserstein_center() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) bures_wasserstein_distance_squared() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) bures_wasserstein_exp_identity() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) bures_wasserstein_geodesic() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) bures_wasserstein_log() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) bures_wasserstein_log_identity() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) bures_wasserstein_mean() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) bures_wasserstein_parallel_transport_from_identity() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) bures_wasserstein_parallel_transport_to_identity() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) bures_wasserstein_scale() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) bures_wasserstein_std_scalar() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) BuresWassersteinMean() (in module yetanotherspdnet.functions.spd_geometries.bures_wasserstein) BuresWassersteinStdScalar (class in yetanotherspdnet.functions.spd_geometries.bures_wasserstein)

C

congruence_rectangular() (in module yetanotherspdnet.functions.spd_linalg) congruence_SPD() (in module yetanotherspdnet.functions.spd_linalg)

CongruenceRectangular (class in yetanotherspdnet.functions.spd_linalg) CongruenceSPD (class in yetanotherspdnet.functions.spd_linalg)

E

eigh_operation() (in module yetanotherspdnet.functions.spd_linalg) eigh_operation_grad() (in module yetanotherspdnet.functions.spd_linalg) eigh_relu() (in module yetanotherspdnet.functions.spd_linalg) eigh_relu_bias() (in module yetanotherspdnet.functions.spd_linalg) EighReLu (class in yetanotherspdnet.functions.spd_linalg)

EighReLuBias (class in yetanotherspdnet.functions.spd_linalg) euclidean_geodesic() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler) EuclideanGeodesic (class in yetanotherspdnet.functions.spd_geometries.kullback_leibler) expm_symmetric() (in module yetanotherspdnet.functions.spd_linalg) ExpmSymmetric (class in yetanotherspdnet.functions.spd_linalg)

F

forward() (AdaptiveGeometricArithmeticHarmonicGeodesic static method) (AffineInvariantExp static method) (AffineInvariantGeodesic static method) (AffineInvariantMean2Points static method) (AffineInvariantMeanIteration static method) (AffineInvariantStdScalar static method) (ArithmeticMean static method) (BatchNormSPDMean method) (BatchNormSPDMeanScalarVariance method) (BiMap method) (BuresWassersteinStdScalar static method) (CongruenceRectangular static method) (CongruenceSPD static method) (EighReLu static method) (EighReLuBias static method) (EuclideanGeodesic static method) (ExpmSymmetric static method) (GBWBNRResNet method) (HarmonicCurve static method) (HarmonicMean static method) (InvScaledSoftPlusSPD static method) (InvSqrtmSPD static method) (LeftKullbackLeiblerStdScalar static method) (LogEig method) (LogEuclideanStdScalar static method) (LogmSPD static method) (LyapunovSolveSPD static method) (MEstimation method) (MEstimator static method) (ParallelTransportFromIdentityBW static method) (PowmSPD static method) (ReEig method) (ReEigBias method) (ResidualBlock method) (RightKullbackLeiblerStdScalar static method) (RResNet method) (SampleCovariance method) (ScalarSigmoidParametrization method) (ScalarSoftPlusParametrization method) (ScaledSoftPlusSymmetric static method) (SPDAdaptiveParametrization method) (SPDnet method) (SPDParametrization method) (SpectralVectorField method) (SqrtmSPD static method) (StiefelAdaptiveParametrization method) (StiefelProjectionPolar static method) (StiefelProjectionQR static method) (StiefelProjectionTangentOrthogonal static method) (SymmetrizedKullbackLeiblerStdScalar static method) (Vec method) (VecBatch static method) (Vech method) (VechBatch static method) (Whitening static method)

G

GBWBNRResNet (class in yetanotherspdnet.model) geometric_arithmetic_harmonic_mean() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler_symmetrized)

geometric_euclidean_harmonic_curve() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler_symmetrized) GeometricArithmeticHarmonicMean() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler_symmetrized) GeometricEuclideanHarmonicCurve() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler_symmetrized)

H

harmonic_curve() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler) harmonic_mean() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler)

HarmonicCurve (class in yetanotherspdnet.functions.spd_geometries.kullback_leibler) HarmonicMean (class in yetanotherspdnet.functions.spd_geometries.kullback_leibler) huber_function() (in module yetanotherspdnet.functions.m_estimators)

I

inv() (in module yetanotherspdnet.functions.scalar_functions) inv_scaled_softplus() (in module yetanotherspdnet.functions.scalar_functions) inv_scaled_softplus_derivative() (in module yetanotherspdnet.functions.scalar_functions) inv_scaled_softplus_SPD() (in module yetanotherspdnet.functions.spd_linalg)

inv_sqrt() (in module yetanotherspdnet.functions.scalar_functions) inv_sqrt_derivative() (in module yetanotherspdnet.functions.scalar_functions) inv_sqrtm_SPD() (in module yetanotherspdnet.functions.spd_linalg) InvScaledSoftPlusSPD (class in yetanotherspdnet.functions.spd_linalg) InvSqrtmSPD (class in yetanotherspdnet.functions.spd_linalg)

L

left_kullback_leibler_std_scalar() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler) LeftKullbackLeiblerStdScalar (class in yetanotherspdnet.functions.spd_geometries.kullback_leibler) log_euclidean_geodesic() (in module yetanotherspdnet.functions.spd_geometries.log_euclidean) log_euclidean_mean() (in module yetanotherspdnet.functions.spd_geometries.log_euclidean) log_euclidean_std_scalar() (in module yetanotherspdnet.functions.spd_geometries.log_euclidean) LogEig (class in yetanotherspdnet.nn)

LogEuclideanGeodesic() (in module yetanotherspdnet.functions.spd_geometries.log_euclidean) LogEuclideanMean() (in module yetanotherspdnet.functions.spd_geometries.log_euclidean) LogEuclideanStdScalar (class in yetanotherspdnet.functions.spd_geometries.log_euclidean) logm_SPD() (in module yetanotherspdnet.functions.spd_linalg) LogmSPD (class in yetanotherspdnet.functions.spd_linalg) LyapunovSolveSPD (class in yetanotherspdnet.functions.spd_geometries.bures_wasserstein)

M

m_estimator() (in module yetanotherspdnet.functions.m_estimators) m_estimator_step() (in module yetanotherspdnet.functions.m_estimators) MEstimation (class in yetanotherspdnet.nn) MEstimator (class in yetanotherspdnet.functions.m_estimators) module yetanotherspdnet.functions.m_estimators yetanotherspdnet.functions.scalar_functions yetanotherspdnet.functions.spd_geometries.affine_invariant yetanotherspdnet.functions.spd_geometries.bures_wasserstein yetanotherspdnet.functions.spd_geometries.kullback_leibler yetanotherspdnet.functions.spd_geometries.kullback_leibler_symmetrized yetanotherspdnet.functions.spd_geometries.log_euclidean yetanotherspdnet.functions.spd_linalg yetanotherspdnet.functions.stiefel yetanotherspdnet.random.spd yetanotherspdnet.random.stiefel

N

normalize_determinant() (in module yetanotherspdnet.functions.m_estimators)

normalize_trace() (in module yetanotherspdnet.functions.m_estimators)

P

ParallelTransportFromIdentityBW (class in yetanotherspdnet.functions.spd_geometries.bures_wasserstein)

powm_SPD() (in module yetanotherspdnet.functions.spd_linalg) PowmSPD (class in yetanotherspdnet.functions.spd_linalg)

R

random_DPD() (in module yetanotherspdnet.random.spd) random_SPD() (in module yetanotherspdnet.random.spd) random_stiefel() (in module yetanotherspdnet.random.stiefel) ReEig (class in yetanotherspdnet.nn) ReEigBias (class in yetanotherspdnet.nn) register_optimizer_hook() (BiMap method) (GBWBNRResNet method) (ResidualBlock method) (RResNet method) (SPDnet method) (SpectralVectorField method)

ResidualBlock (class in yetanotherspdnet.nn.rresnet_layers) right_inverse() (ScalarSigmoidParametrization method) (ScalarSoftPlusParametrization method) (SPDAdaptiveParametrization method) (SPDParametrization method) (StiefelAdaptiveParametrization method) right_kullback_leibler_std_scalar() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler) RightKullbackLeiblerStdScalar (class in yetanotherspdnet.functions.spd_geometries.kullback_leibler) RResNet (class in yetanotherspdnet.model)

S

sample_covariance() (in module yetanotherspdnet.functions.m_estimators) SampleCovariance (class in yetanotherspdnet.nn) ScalarSigmoidParametrization (class in yetanotherspdnet.nn.parametrizations) ScalarSoftPlusParametrization (class in yetanotherspdnet.nn.parametrizations) scaled_softplus() (in module yetanotherspdnet.functions.scalar_functions) scaled_softplus_derivative() (in module yetanotherspdnet.functions.scalar_functions) scaled_softplus_symmetric() (in module yetanotherspdnet.functions.spd_linalg) ScaledSoftPlusSymmetric (class in yetanotherspdnet.functions.spd_linalg) solve_sylvester_SPD() (in module yetanotherspdnet.functions.spd_linalg) SPDAdaptiveParametrization (class in yetanotherspdnet.nn.parametrizations) SPDnet (class in yetanotherspdnet.model) SPDParametrization (class in yetanotherspdnet.nn.parametrizations) SpectralVectorField (class in yetanotherspdnet.nn.rresnet_layers) sqrt_derivative() (in module yetanotherspdnet.functions.scalar_functions) sqrtm_SPD() (in module yetanotherspdnet.functions.spd_linalg)

SqrtmSPD (class in yetanotherspdnet.functions.spd_linalg) stiefel_adjoint_differential_projection_qr() (in module yetanotherspdnet.functions.stiefel) stiefel_differential_projection_qr() (in module yetanotherspdnet.functions.stiefel) stiefel_projection_polar() (in module yetanotherspdnet.functions.stiefel) stiefel_projection_qr() (in module yetanotherspdnet.functions.stiefel) stiefel_projection_tangent_orthogonal() (in module yetanotherspdnet.functions.stiefel) StiefelAdaptiveParametrization (class in yetanotherspdnet.nn.parametrizations) StiefelProjectionPolar (class in yetanotherspdnet.functions.stiefel) StiefelProjectionQR (class in yetanotherspdnet.functions.stiefel) StiefelProjectionTangentOrthogonal (class in yetanotherspdnet.functions.stiefel) student_estimator() (in module yetanotherspdnet.functions.m_estimators) student_function() (in module yetanotherspdnet.functions.m_estimators) symmetrize() (in module yetanotherspdnet.functions.spd_linalg) symmetrized_kullback_leibler_std_scalar() (in module yetanotherspdnet.functions.spd_geometries.kullback_leibler_symmetrized) SymmetrizedKullbackLeiblerStdScalar (class in yetanotherspdnet.functions.spd_geometries.kullback_leibler_symmetrized)

T

tyler_estimator() (in module yetanotherspdnet.functions.m_estimators)

tyler_function() (in module yetanotherspdnet.functions.m_estimators)

U

unvec_batch() (in module yetanotherspdnet.functions.spd_linalg) unvech_batch() (in module yetanotherspdnet.functions.spd_linalg)

update_reference_point() (SPDAdaptiveParametrization method) (StiefelAdaptiveParametrization method)

V

Vec (class in yetanotherspdnet.nn) vec_batch() (in module yetanotherspdnet.functions.spd_linalg) VecBatch (class in yetanotherspdnet.functions.spd_linalg)

Vech (class in yetanotherspdnet.nn) vech_batch() (in module yetanotherspdnet.functions.spd_linalg) VechBatch (class in yetanotherspdnet.functions.spd_linalg)

W

Whitening (class in yetanotherspdnet.functions.spd_linalg)

whitening() (in module yetanotherspdnet.functions.spd_linalg)

Y

yetanotherspdnet.functions.m_estimators module yetanotherspdnet.functions.scalar_functions module yetanotherspdnet.functions.spd_geometries.affine_invariant module yetanotherspdnet.functions.spd_geometries.bures_wasserstein module yetanotherspdnet.functions.spd_geometries.kullback_leibler module yetanotherspdnet.functions.spd_geometries.kullback_leibler_symmetrized module

yetanotherspdnet.functions.spd_geometries.log_euclidean module yetanotherspdnet.functions.spd_linalg module yetanotherspdnet.functions.stiefel module yetanotherspdnet.random.spd module yetanotherspdnet.random.stiefel module