TMVA::DNN::TCpu< AReal > Class Template Reference

template<typename AReal = Float_t>
class TMVA::DNN::TCpu< AReal >

The TCpu architecture class.

Low-level interface class for multi-threaded CPU architectures. Contains as public types the declaration of the scalar, matrix and data loader types for this architecture as well as the remaining functions in the low-level interface in the form of static members.

Definition at line 64 of file Cpu.h.

Public Types
using	ActivationDescriptor_t = DummyDescriptor
using	AlgorithmBackward_t = DummyConvolutionBwdDataAlgo
using	AlgorithmDataType_t = DummyDataType
using	AlgorithmForward_t = DummyConvolutionFwdAlgo
using	AlgorithmHelper_t = DummyConvolutionBwdFilterAlgo
using	BNormDescriptors_t = TDNNGenDescriptors<BNormLayer_t>
using	BNormLayer_t = TBatchNormLayer<TCpu<AReal>>
using	ConvDescriptors_t = CNN::TCNNDescriptors<ConvLayer_t>
using	ConvLayer_t = CNN::TConvLayer<TCpu<AReal>>
using	ConvolutionDescriptor_t = DummyDescriptor
using	ConvWorkspace_t = CNN::TCNNWorkspace<ConvLayer_t>
using	DeviceBuffer_t = TCpuBuffer<AReal>
using	DropoutDescriptor_t = DummyDescriptor
using	EmptyDescriptor_t = DummyDescriptor
using	FilterDescriptor_t = DummyDescriptor
using	GenLayer_t = VGeneralLayer<TCpu<AReal>>
using	HostBuffer_t = TCpuBuffer<AReal>
using	Matrix_t = TCpuMatrix<AReal>
using	PoolingDescriptor_t = DummyDescriptor
using	PoolingDescriptors_t = CNN::TCNNDescriptors<PoolingLayer_t>
using	PoolingLayer_t = CNN::TMaxPoolLayer<TCpu<AReal>>
using	PoolingWorkspace_t = CNN::TCNNWorkspace<PoolingLayer_t>
using	RecurrentDescriptor_t = DummyDataType
using	ReduceTensorDescriptor_t = DummyDataType
using	RNNDescriptors_t = RNN::TRNNDescriptors<TCpu<AReal>>
using	RNNWorkspace_t = RNN::TRNNWorkspace<TCpu<AReal>>
using	Scalar_t = AReal
using	Tensor_t = TCpuTensor<AReal>
using	TensorDescriptor_t = DummyDescriptor

Static Public Member Functions
static void	ConvLayerForward (Tensor_t &output, Tensor_t &inputActivationFunc, const Tensor_t &input, const Matrix_t &weights, const Matrix_t &biases, const DNN::CNN::TConvParams &params, EActivationFunction activFunc, Tensor_t &, const ConvDescriptors_t &, ConvWorkspace_t &)
	Forward propagation in the Convolutional layer.
static Tensor_t	CreateTensor (DeviceBuffer_t buffer, size_t b, size_t t, size_t w)
static Tensor_t	CreateTensor (DeviceBuffer_t buffer, size_t n, size_t c, size_t h, size_t w)
static Tensor_t	CreateTensor (size_t b, size_t t, size_t w)
static Tensor_t	CreateTensor (size_t n, size_t c, size_t h, size_t w)
static void	CreateWeightTensors (std::vector< Matrix_t > &newWeights, const std::vector< Matrix_t > &weights)
static void	FreeConvWorkspace (TWorkspace *&)
	Only used for certain cudnn on-device memory.
static void	FreePoolDropoutWorkspace (TWorkspace *&)
static void	FreeRNNWorkspace (TWorkspace *&)
static TMVA::Experimental::MemoryLayout	GetTensorLayout ()
static void	InitializeActivationDescriptor (ActivationDescriptor_t &, EActivationFunction, double=0.0)
static void	InitializeBNormDescriptors (TDescriptors *&, BNormLayer_t *)
	Initialize CNN data/operator descriptors.
static void	InitializeConvDescriptors (TDescriptors *&, ConvLayer_t *)
static void	InitializeConvWorkspace (TWorkspace *&, TDescriptors *&, const DNN::CNN::TConvParams &, ConvLayer_t *)
static void	InitializeGRUDescriptors (TDescriptors *&, GenLayer_t *)
static void	InitializeGRUTensors (GenLayer_t *)
static void	InitializeGRUWorkspace (TWorkspace *&, TDescriptors *&, GenLayer_t *)
static void	InitializeLSTMDescriptors (TDescriptors *&, GenLayer_t *)
static void	InitializeLSTMTensors (GenLayer_t *)
static void	InitializeLSTMWorkspace (TWorkspace *&, TDescriptors *&, GenLayer_t *)
static void	InitializePoolDescriptors (TDescriptors *&, PoolingLayer_t *)
static void	InitializePoolDropoutWorkspace (TWorkspace *&, TDescriptors *&, const DNN::CNN::TConvParams &, PoolingLayer_t *)
static void	InitializeRNNDescriptors (TDescriptors *&, GenLayer_t *)
static void	InitializeRNNTensors (GenLayer_t *)
static void	InitializeRNNWorkspace (TWorkspace *&, TDescriptors *&, GenLayer_t *)
static bool	IsCudnn ()
static void	PrepareInternals (Tensor_t &)
	Dummy placeholder - preparation is currently only required for the CUDA architecture.
static void	ReleaseBNormDescriptors (TDescriptors *&)
static void	ReleaseConvDescriptors (TDescriptors *&)
	Release CNN data/operator descriptors.
static void	ReleaseDescriptor (ActivationDescriptor_t &)
static void	ReleasePoolDescriptors (TDescriptors *&)
static void	ReleaseRNNDescriptors (TDescriptors *&)
Forward Propagation
Low-level functions required for the forward propagation of activations through the network.
static void	MultiplyTranspose (Matrix_t &output, const Matrix_t &input, const Matrix_t &weights)
	Matrix-multiply input with the transpose of weights and write the results into output.
static void	MultiplyTranspose (Tensor_t &output, const Tensor_t &input, const Matrix_t &weights)
static void	AddRowWise (Matrix_t &output, const Matrix_t &biases)
	Add the vectors biases row-wise to the matrix output.
static void	AddRowWise (Tensor_t &output, const Matrix_t &biases)
Backward Propagation (Dense Layers)
Low-level functions required for the forward propagation of activations through the network.
static void	Backward (Tensor_t &activationGradientsBackward, Matrix_t &weightGradients, Matrix_t &biasGradients, const Tensor_t &df, const Tensor_t &activationGradients, const Matrix_t &weights, const Tensor_t &activationBackward)
	Perform the complete backward propagation step.
static void	ScaleAdd (Matrix_t &A, const Matrix_t &B, Scalar_t beta=1.0)
	Adds a the elements in matrix B scaled by c to the elements in the matrix A.
static void	Copy (Matrix_t &B, const Matrix_t &A)
template<typename AMatrix_t >
static void	CopyDiffArch (Matrix_t &B, const AMatrix_t &A)
static void	ScaleAdd (Tensor_t &A, const Tensor_t &B, Scalar_t beta=1.0)
	Above functions extended to vectors.
static void	Copy (Tensor_t &A, const Tensor_t &B)
template<typename ATensor_t >
static void	CopyDiffArch (Tensor_t &A, const ATensor_t &B)
template<typename AMatrix_t >
static void	CopyDiffArch (std::vector< Matrix_t > &A, const std::vector< AMatrix_t > &B)
Activation Functions
For each activation function, the low-level interface contains two routines. One that applies the activation function to a matrix and one that evaluate the derivatives of the activation function at the elements of a given matrix and writes the results into the result matrix.
static void	ActivationFunctionForward (Tensor_t &X, EActivationFunction activFunct, const ActivationDescriptor_t activationDescr, const double coef=0.0, const Scalar_t alpha=1, const Scalar_t beta=0)
static void	ActivationFunctionBackward (Tensor_t &dX, const Tensor_t &Y, const Tensor_t &dY, const Tensor_t &X, EActivationFunction activFunct, const ActivationDescriptor_t activationDescr, const Scalar_t alpha=1, const Scalar_t beta=0)
	Computes the gradient of the activation function.
static void	IdentityDerivative (Tensor_t &B, const Tensor_t &A)
static void	Relu (Tensor_t &B)
static void	ReluDerivative (Tensor_t &B, const Tensor_t &A)
static void	Sigmoid (Tensor_t &B)
static void	SigmoidDerivative (Tensor_t &B, const Tensor_t &A)
static void	Tanh (Tensor_t &B)
static void	TanhDerivative (Tensor_t &B, const Tensor_t &A)
static void	FastTanh (Tensor_t &B)
static void	FastTanhDerivative (Tensor_t &B, const Tensor_t &A)
static void	SymmetricRelu (Tensor_t &B)
static void	SymmetricReluDerivative (Tensor_t &B, const Tensor_t &A)
static void	SoftSign (Tensor_t &B)
static void	SoftSignDerivative (Tensor_t &B, const Tensor_t &A)
static void	Gauss (Tensor_t &B)
static void	GaussDerivative (Tensor_t &B, const Tensor_t &A)
Loss Functions
Loss functions compute a scalar value given the output of the network for a given training input and the expected network prediction Y that quantifies the quality of the prediction. For each function also a routing that computes the gradients (suffixed by Gradients) must be provided for the starting of the backpropagation algorithm.
static Scalar_t	MeanSquaredError (const Matrix_t &Y, const Matrix_t &output, const Matrix_t &weights)
static void	MeanSquaredErrorGradients (Matrix_t &dY, const Matrix_t &Y, const Matrix_t &output, const Matrix_t &weights)
static Scalar_t	CrossEntropy (const Matrix_t &Y, const Matrix_t &output, const Matrix_t &weights)
	Sigmoid transformation is implicitly applied, thus output should hold the linear activations of the last layer in the net.
static void	CrossEntropyGradients (Matrix_t &dY, const Matrix_t &Y, const Matrix_t &output, const Matrix_t &weights)
static Scalar_t	SoftmaxCrossEntropy (const Matrix_t &Y, const Matrix_t &output, const Matrix_t &weights)
	Softmax transformation is implicitly applied, thus output should hold the linear activations of the last layer in the net.
static void	SoftmaxCrossEntropyGradients (Matrix_t &dY, const Matrix_t &Y, const Matrix_t &output, const Matrix_t &weights)
Output Functions
Output functions transform the activations output of the output layer in the network to a valid prediction YHat for the desired usage of the network, e.g. the identity function for regression or the sigmoid transformation for two-class classification.
static void	Sigmoid (Matrix_t &YHat, const Matrix_t &)
static void	Softmax (Matrix_t &YHat, const Matrix_t &)
Regularization
For each regularization type two functions are required, one named <Type>Regularization that evaluates the corresponding regularization functional for a given weight matrix and the Add<Type>RegularizationGradients, that adds the regularization component in the gradients to the provided matrix.
static Scalar_t	L1Regularization (const Matrix_t &W)
static void	AddL1RegularizationGradients (Matrix_t &A, const Matrix_t &W, Scalar_t weightDecay)
static Scalar_t	L2Regularization (const Matrix_t &W)
static void	AddL2RegularizationGradients (Matrix_t &A, const Matrix_t &W, Scalar_t weightDecay)
Initialization
For each initialization method, one function in the low-level interface is provided. The naming scheme is Initialize<Type> for a given initialization method Type.
static void	InitializeGauss (Matrix_t &A)
static void	InitializeUniform (Matrix_t &A)
static void	InitializeIdentity (Matrix_t &A)
static void	InitializeZero (Matrix_t &A)
static void	InitializeZero (Tensor_t &A)
static void	InitializeGlorotNormal (Matrix_t &A)
	Truncated normal initialization (Glorot, called also Xavier normal) The values are sample with a normal distribution with stddev = sqrt(2/N_input + N_output) and values larger than 2 * stddev are discarded See Glorot & Bengio, AISTATS 2010 - http://jmlr.org/proceedings/papers/v9/glorot10a/glorot10a.pdf.
static void	InitializeGlorotUniform (Matrix_t &A)
	Sample from a uniform distribution in range [ -lim,+lim] where lim = sqrt(6/N_in+N_out).
static TRandom &	GetRandomGenerator ()
static void	SetRandomSeed (size_t seed)
Dropout
static void	DropoutForward (Tensor_t &A, TDescriptors *descriptors, TWorkspace *workspace, Scalar_t p)
	Apply dropout with activation probability p to the given tensor A and scale the result by reciprocal of p.
static void	DropoutForward (Matrix_t &A, Scalar_t p)
static void	DropoutBackward (Tensor_t &, TDescriptors *, TWorkspace *)
Batch Normalization Layer Propagation
static void	BatchNormLayerForwardTraining (int axis, const Tensor_t &x, Tensor_t &y, Matrix_t &gamma, Matrix_t &beta, Matrix_t &mean, Matrix_t &, Matrix_t &iVariance, Matrix_t &runningMeans, Matrix_t &runningVars, Scalar_t nTrainedBatches, Scalar_t momentum, Scalar_t epsilon, const TensorDescriptor_t &bnParDescriptor)
	The input from each batch are normalized during training to have zero mean and unit variance and they are then scaled by two parameter, different for each input variable:
static void	BatchNormLayerForwardInference (int axis, const Tensor_t &x, Matrix_t &gamma, Matrix_t &beta, Tensor_t &y, const Matrix_t &runningMeans, const Matrix_t &runningVars, Scalar_t epsilon, const TensorDescriptor_t &)
	During inference the inputs are not normalized using the batch mean but the previously computed at running mean and variance.
static void	BatchNormLayerBackward (int axis, const Tensor_t &x, const Tensor_t &dy, Tensor_t &dx, Matrix_t &gamma, Matrix_t &dgamma, Matrix_t &dbeta, const Matrix_t &mean, const Matrix_t &variance, const Matrix_t &iVariance, Scalar_t epsilon, const TensorDescriptor_t &)
static Tensor_t	BatchNormLayerReshapeTensor (int axis, const Tensor_t &x)
Forward Propagation in Convolutional Layer
static size_t	calculateDimension (size_t imgDim, size_t fltDim, size_t padding, size_t stride)
	Calculate how many neurons "fit" in the output layer, given the input as well as the layer's hyperparameters.
static void	Im2col (Matrix_t &A, const Matrix_t &B, size_t imgHeight, size_t imgWidth, size_t fltHeight, size_t fltWidth, size_t strideRows, size_t strideCols, size_t zeroPaddingHeight, size_t zeroPaddingWidth)
	Transform the matrix B in local view format, suitable for convolution, and store it in matrix A.
static void	Im2colIndices (std::vector< int > &V, const Matrix_t &B, size_t nLocalViews, size_t imgHeight, size_t imgWidth, size_t fltHeight, size_t fltWidth, size_t strideRows, size_t strideCols, size_t zeroPaddingHeight, size_t zeroPaddingWidth)
static void	Im2colFast (Matrix_t &A, const Matrix_t &B, const std::vector< int > &V)
static void	RotateWeights (Matrix_t &A, const Matrix_t &B, size_t filterDepth, size_t filterHeight, size_t filterWidth, size_t numFilters)
	Rotates the matrix B, which is representing a weights, and stores them in the matrix A.
static void	AddConvBiases (Matrix_t &output, const Matrix_t &biases)
	Add the biases in the Convolutional Layer.
Backward Propagation in Convolutional Layer
static void	ConvLayerBackward (Tensor_t &activationGradientsBackward, Matrix_t &weightGradients, Matrix_t &biasGradients, Tensor_t &df, Tensor_t &activationGradients, const Matrix_t &weights, const Tensor_t &activationBackward, const Tensor_t &outputTensor, EActivationFunction activFunc, const ConvDescriptors_t &, ConvWorkspace_t &, size_t batchSize, size_t inputHeight, size_t inputWidth, size_t depth, size_t height, size_t width, size_t filterDepth, size_t filterHeight, size_t filterWidth, size_t nLocalViews)
	Perform the complete backward propagation step in a Convolutional Layer.
static void	CalculateConvActivationGradients (Tensor_t &activationGradientsBackward, const Tensor_t &df, const Matrix_t &weights, size_t batchSize, size_t inputHeight, size_t inputWidth, size_t depth, size_t height, size_t width, size_t filterDepth, size_t filterHeight, size_t filterWidth)
	Utility function for calculating the activation gradients of the layer before the convolutional layer.
static void	CalculateConvWeightGradients (Matrix_t &weightGradients, const Tensor_t &df, const Tensor_t &activations_backward, size_t batchSize, size_t inputHeight, size_t inputWidth, size_t depth, size_t height, size_t width, size_t filterDepth, size_t filterHeight, size_t filterWidth, size_t nLocalViews)
	Utility function for calculating the weight gradients of the convolutional layer.
static void	CalculateConvBiasGradients (Matrix_t &biasGradients, const Tensor_t &df, size_t batchSize, size_t depth, size_t nLocalViews)
	Utility function for calculating the bias gradients of the convolutional layer.
Forward Propagation in Max Pooling Layer
static void	Downsample (Tensor_t &A, Tensor_t &B, const Tensor_t &C, const PoolingDescriptors_t &, PoolingWorkspace_t &, size_t imgHeight, size_t imgWidth, size_t fltHeight, size_t fltWidth, size_t strideRows, size_t strideCols)
	Downsample the matrix C to the matrix A, using max operation, such that the winning indices are stored in matrix B.
Backward Propagation in Max Pooling Layer
static void	MaxPoolLayerBackward (Tensor_t &activationGradientsBackward, const Tensor_t &activationGradients, const Tensor_t &indexMatrix, const Tensor_t &, const Tensor_t &, const PoolingDescriptors_t &, PoolingWorkspace_t &, size_t imgHeight, size_t imgWidth, size_t fltHeight, size_t fltWidth, size_t strideRows, size_t strideCols, size_t nLocalViews)
	Perform the complete backward propagation step in a Pooling Layer.
static Matrix_t &	RecurrentLayerBackward (Matrix_t &state_gradients_backward, Matrix_t &input_weight_gradients, Matrix_t &state_weight_gradients, Matrix_t &bias_gradients, Matrix_t &df, const Matrix_t &state, const Matrix_t &weights_input, const Matrix_t &weights_state, const Matrix_t &input, Matrix_t &input_gradient)
	Backward pass for Recurrent Networks.
static void	RNNForward (const Tensor_t &, const Matrix_t &, const Matrix_t &, const Tensor_t &, Tensor_t &, Matrix_t &, Matrix_t &, const RNNDescriptors_t &, RNNWorkspace_t &, bool)
static void	RNNBackward (const Tensor_t &, const Matrix_t &, const Matrix_t &, const Tensor_t &, const Tensor_t &, const Matrix_t &, const Matrix_t &, const Tensor_t &, Tensor_t &, Matrix_t &, Matrix_t &, Tensor_t &, const RNNDescriptors_t &, RNNWorkspace_t &)
static Matrix_t &	LSTMLayerBackward (TCpuMatrix< Scalar_t > &state_gradients_backward, TCpuMatrix< Scalar_t > &cell_gradients_backward, TCpuMatrix< Scalar_t > &input_weight_gradients, TCpuMatrix< Scalar_t > &forget_weight_gradients, TCpuMatrix< Scalar_t > &candidate_weight_gradients, TCpuMatrix< Scalar_t > &output_weight_gradients, TCpuMatrix< Scalar_t > &input_state_weight_gradients, TCpuMatrix< Scalar_t > &forget_state_weight_gradients, TCpuMatrix< Scalar_t > &candidate_state_weight_gradients, TCpuMatrix< Scalar_t > &output_state_weight_gradients, TCpuMatrix< Scalar_t > &input_bias_gradients, TCpuMatrix< Scalar_t > &forget_bias_gradients, TCpuMatrix< Scalar_t > &candidate_bias_gradients, TCpuMatrix< Scalar_t > &output_bias_gradients, TCpuMatrix< Scalar_t > &di, TCpuMatrix< Scalar_t > &df, TCpuMatrix< Scalar_t > &dc, TCpuMatrix< Scalar_t > &dout, const TCpuMatrix< Scalar_t > &precStateActivations, const TCpuMatrix< Scalar_t > &precCellActivations, const TCpuMatrix< Scalar_t > &fInput, const TCpuMatrix< Scalar_t > &fForget, const TCpuMatrix< Scalar_t > &fCandidate, const TCpuMatrix< Scalar_t > &fOutput, const TCpuMatrix< Scalar_t > &weights_input, const TCpuMatrix< Scalar_t > &weights_forget, const TCpuMatrix< Scalar_t > &weights_candidate, const TCpuMatrix< Scalar_t > &weights_output, const TCpuMatrix< Scalar_t > &weights_input_state, const TCpuMatrix< Scalar_t > &weights_forget_state, const TCpuMatrix< Scalar_t > &weights_candidate_state, const TCpuMatrix< Scalar_t > &weights_output_state, const TCpuMatrix< Scalar_t > &input, TCpuMatrix< Scalar_t > &input_gradient, TCpuMatrix< Scalar_t > &cell_gradient, TCpuMatrix< Scalar_t > &cell_tanh)
	Backward pass for LSTM Network.
static Matrix_t &	GRULayerBackward (TCpuMatrix< Scalar_t > &state_gradients_backward, TCpuMatrix< Scalar_t > &reset_weight_gradients, TCpuMatrix< Scalar_t > &update_weight_gradients, TCpuMatrix< Scalar_t > &candidate_weight_gradients, TCpuMatrix< Scalar_t > &reset_state_weight_gradients, TCpuMatrix< Scalar_t > &update_state_weight_gradients, TCpuMatrix< Scalar_t > &candidate_state_weight_gradients, TCpuMatrix< Scalar_t > &reset_bias_gradients, TCpuMatrix< Scalar_t > &update_bias_gradients, TCpuMatrix< Scalar_t > &candidate_bias_gradients, TCpuMatrix< Scalar_t > &dr, TCpuMatrix< Scalar_t > &du, TCpuMatrix< Scalar_t > &dc, const TCpuMatrix< Scalar_t > &precStateActivations, const TCpuMatrix< Scalar_t > &fReset, const TCpuMatrix< Scalar_t > &fUpdate, const TCpuMatrix< Scalar_t > &fCandidate, const TCpuMatrix< Scalar_t > &weights_reset, const TCpuMatrix< Scalar_t > &weights_update, const TCpuMatrix< Scalar_t > &weights_candidate, const TCpuMatrix< Scalar_t > &weights_reset_state, const TCpuMatrix< Scalar_t > &weights_update_state, const TCpuMatrix< Scalar_t > &weights_candidate_state, const TCpuMatrix< Scalar_t > &input, TCpuMatrix< Scalar_t > &input_gradient, bool resetGateAfter)
	Backward pass for GRU Network.
Forward and Backward Propagation in Reshape Layer
static void	Reshape (Matrix_t &A, const Matrix_t &B)
	Transform the matrix B to a matrix with different dimensions A.
static void	Flatten (Tensor_t &A, const Tensor_t &B)
	Flattens the tensor B, such that each matrix, is stretched in one row, resulting with a matrix A.
static void	Deflatten (Tensor_t &A, const Tensor_t &B)
	Transforms each row of B to a matrix and stores it in the tensor B.
static void	Rearrange (Tensor_t &out, const Tensor_t &in)
	Rearrage data according to time fill B x T x D out with T x B x D matrix in.
Additional Arithmetic Functions
Additional arithmetic on CUDA matrices used to implement the low-level interface.
static void	Multiply (Matrix_t &C, const Matrix_t &A, const Matrix_t &B)
	Standard multiplication of two matrices A and B with the result being written into C.
static void	TransposeMultiply (Matrix_t &output, const Matrix_t &input, const Matrix_t &Weights, Scalar_t alpha=1.0, Scalar_t beta=0.)
	Matrix multiplication of two matrices A and B^T (transposed) with the result being written into C.
static void	Hadamard (Tensor_t &A, const Tensor_t &B)
	In-place Hadamard (element-wise) product of matrices A and B with the result being written into A.
static void	Hadamard (Matrix_t &A, const Matrix_t &B)
static void	SumColumns (Matrix_t &B, const Matrix_t &A, Scalar_t alpha=1.0, Scalar_t beta=0.)
	Sum columns of (m x n) matrix A and write the results into the first m elements in A.
static Scalar_t	Sum (const Matrix_t &A)
	Compute the sum of all elements in A.
static bool	AlmostEquals (const Matrix_t &A, const Matrix_t &B, double epsilon=0.1)
	Check two matrices for equality, taking floating point arithmetic errors into account.
static void	ConstAdd (Matrix_t &A, Scalar_t beta)
	Add the constant beta to all the elements of matrix A and write the result into A.
static void	ConstMult (Matrix_t &A, Scalar_t beta)
	Multiply the constant beta to all the elements of matrix A and write the result into A.
static void	ReciprocalElementWise (Matrix_t &A)
	Reciprocal each element of the matrix A and write the result into A.
static void	SquareElementWise (Matrix_t &A)
	Square each element of the matrix A and write the result into A.
static void	SqrtElementWise (Matrix_t &A)
	Square root each element of the matrix A and write the result into A.
static void	AdamUpdate (Matrix_t &A, const Matrix_t &M, const Matrix_t &V, Scalar_t alpha, Scalar_t eps)
	Adam updates.
static void	AdamUpdateFirstMom (Matrix_t &A, const Matrix_t &B, Scalar_t beta)
static void	AdamUpdateSecondMom (Matrix_t &A, const Matrix_t &B, Scalar_t beta)
static void	PrintTensor (const Tensor_t &A, const std::string name="Cpu-tensor", bool truncate=false)

Static Private Attributes
static TRandom *	fgRandomGen = nullptr

#include <TMVA/DNN/Architectures/Cpu.h>

Member Typedef Documentation

ActivationDescriptor_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::ActivationDescriptor_t = DummyDescriptor

Definition at line 75 of file Cpu.h.

AlgorithmBackward_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::AlgorithmBackward_t = DummyConvolutionBwdDataAlgo

Definition at line 83 of file Cpu.h.

AlgorithmDataType_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::AlgorithmDataType_t = DummyDataType

Definition at line 85 of file Cpu.h.

AlgorithmForward_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::AlgorithmForward_t = DummyConvolutionFwdAlgo

Definition at line 82 of file Cpu.h.

AlgorithmHelper_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::AlgorithmHelper_t = DummyConvolutionBwdFilterAlgo

Definition at line 84 of file Cpu.h.

BNormDescriptors_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::BNormDescriptors_t = TDNNGenDescriptors<BNormLayer_t>

Definition at line 93 of file Cpu.h.

BNormLayer_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::BNormLayer_t = TBatchNormLayer<TCpu<AReal>>

Definition at line 92 of file Cpu.h.

ConvDescriptors_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::ConvDescriptors_t = CNN::TCNNDescriptors<ConvLayer_t>

Definition at line 96 of file Cpu.h.

ConvLayer_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::ConvLayer_t = CNN::TConvLayer<TCpu<AReal>>

Definition at line 95 of file Cpu.h.

ConvolutionDescriptor_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::ConvolutionDescriptor_t = DummyDescriptor

Definition at line 76 of file Cpu.h.

ConvWorkspace_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::ConvWorkspace_t = CNN::TCNNWorkspace<ConvLayer_t>

Definition at line 97 of file Cpu.h.

DeviceBuffer_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::DeviceBuffer_t = TCpuBuffer<AReal>

Definition at line 73 of file Cpu.h.

DropoutDescriptor_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::DropoutDescriptor_t = DummyDescriptor

Definition at line 78 of file Cpu.h.

EmptyDescriptor_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::EmptyDescriptor_t = DummyDescriptor

Definition at line 89 of file Cpu.h.

FilterDescriptor_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::FilterDescriptor_t = DummyDescriptor

Definition at line 77 of file Cpu.h.

GenLayer_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::GenLayer_t = VGeneralLayer<TCpu<AReal>>

Definition at line 91 of file Cpu.h.

HostBuffer_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::HostBuffer_t = TCpuBuffer<AReal>

Definition at line 72 of file Cpu.h.

Matrix_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::Matrix_t = TCpuMatrix<AReal>

Definition at line 71 of file Cpu.h.

PoolingDescriptor_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::PoolingDescriptor_t = DummyDescriptor

Definition at line 79 of file Cpu.h.

PoolingDescriptors_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::PoolingDescriptors_t = CNN::TCNNDescriptors<PoolingLayer_t>

Definition at line 99 of file Cpu.h.

PoolingLayer_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::PoolingLayer_t = CNN::TMaxPoolLayer<TCpu<AReal>>

Definition at line 98 of file Cpu.h.

PoolingWorkspace_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::PoolingWorkspace_t = CNN::TCNNWorkspace<PoolingLayer_t>

Definition at line 100 of file Cpu.h.

RecurrentDescriptor_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::RecurrentDescriptor_t = DummyDataType

Definition at line 87 of file Cpu.h.

ReduceTensorDescriptor_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::ReduceTensorDescriptor_t = DummyDataType

Definition at line 86 of file Cpu.h.

RNNDescriptors_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::RNNDescriptors_t = RNN::TRNNDescriptors<TCpu<AReal>>

Definition at line 102 of file Cpu.h.

RNNWorkspace_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::RNNWorkspace_t = RNN::TRNNWorkspace<TCpu<AReal>>

Definition at line 103 of file Cpu.h.

Scalar_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::Scalar_t = AReal

Definition at line 69 of file Cpu.h.

Tensor_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::Tensor_t = TCpuTensor<AReal>

Definition at line 70 of file Cpu.h.

TensorDescriptor_t

template<typename AReal = Float_t>

using TMVA::DNN::TCpu< AReal >::TensorDescriptor_t = DummyDescriptor

Definition at line 80 of file Cpu.h.

Member Function Documentation

ActivationFunctionBackward()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::ActivationFunctionBackward ( Tensor_t & dX, const Tensor_t & Y, const Tensor_t & dY, const Tensor_t & X, EActivationFunction activFunct, const ActivationDescriptor_t activationDescr, const Scalar_t alpha = 1, const Scalar_t beta = 0 )

static

Computes the gradient of the activation function.

Definition at line 41 of file ActivationFunctions.hxx.

ActivationFunctionForward()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::ActivationFunctionForward ( Tensor_t & X, EActivationFunction activFunct, const ActivationDescriptor_t activationDescr, const double coef = 0.0, const Scalar_t alpha = 1, const Scalar_t beta = 0 )

static

Definition at line 32 of file ActivationFunctions.hxx.

AdamUpdate()

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::AdamUpdate ( Matrix_t & A, const Matrix_t & M, const Matrix_t & V, Scalar_t alpha, Scalar_t eps )

static

Adam updates.

Definition at line 343 of file Arithmetic.hxx.

AdamUpdateFirstMom()

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::AdamUpdateFirstMom ( Matrix_t & A, const Matrix_t & B, Scalar_t beta )

static

Definition at line 357 of file Arithmetic.hxx.

AdamUpdateSecondMom()

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::AdamUpdateSecondMom ( Matrix_t & A, const Matrix_t & B, Scalar_t beta )

static

Definition at line 369 of file Arithmetic.hxx.

AddConvBiases()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::AddConvBiases ( Matrix_t & output, const Matrix_t & biases )

static

Add the biases in the Convolutional Layer.

Definition at line 289 of file Propagation.hxx.

AddL1RegularizationGradients()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::AddL1RegularizationGradients ( Matrix_t & A, const Matrix_t & W, Scalar_t weightDecay )

static

Definition at line 60 of file Regularization.hxx.

AddL2RegularizationGradients()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::AddL2RegularizationGradients ( Matrix_t & A, const Matrix_t & W, Scalar_t weightDecay )

static

Definition at line 132 of file Regularization.hxx.

AddRowWise() [1/2]

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::AddRowWise ( Matrix_t & output, const Matrix_t & biases )

static

Add the vectors biases row-wise to the matrix output.

AddRowWise() [2/2]

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::AddRowWise ( Tensor_t & output, const Matrix_t & biases )

inlinestatic

Definition at line 203 of file Cpu.h.

AlmostEquals()

template<typename AReal >

bool TMVA::DNN::TCpu< AReal >::AlmostEquals ( const Matrix_t & A, const Matrix_t & B, double epsilon = 0.1 )

static

Check two matrices for equality, taking floating point arithmetic errors into account.

Checks two matrices for element-wise equality.

Template Parameters

AReal

An architecture-specific floating point number type.

Parameters

A	The first matrix.
B	The second matrix.
epsilon	Equality tolerance, needed to address floating point arithmetic.

Returns

Whether the two matrices can be considered equal element-wise

Definition at line 194 of file Arithmetic.hxx.

Backward()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::Backward ( Tensor_t & activationGradientsBackward, Matrix_t & weightGradients, Matrix_t & biasGradients, const Tensor_t & df, const Tensor_t & activationGradients, const Matrix_t & weights, const Tensor_t & activationBackward )

static

Perform the complete backward propagation step.

If the provided activationGradientsBackward matrix is not empty, compute the gradients of the objective function with respect to the activations of the previous layer (backward direction). Also compute the weight and the bias gradients. Modifies the values in df and thus produces only a valid result, if it is applied the first time after the corresponding forward propagation has been per- formed.

Definition at line 100 of file Propagation.hxx.

BatchNormLayerBackward()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::BatchNormLayerBackward ( int axis, const Tensor_t & x, const Tensor_t & dy, Tensor_t & dx, Matrix_t & gamma, Matrix_t & dgamma, Matrix_t & dbeta, const Matrix_t & mean, const Matrix_t & variance, const Matrix_t & iVariance, Scalar_t epsilon, const TensorDescriptor_t &  )

static

Definition at line 835 of file Propagation.hxx.

BatchNormLayerForwardInference()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::BatchNormLayerForwardInference ( int axis, const Tensor_t & x, Matrix_t & gamma, Matrix_t & beta, Tensor_t & y, const Matrix_t & runningMeans, const Matrix_t & runningVars, Scalar_t epsilon, const TensorDescriptor_t &  )

static

During inference the inputs are not normalized using the batch mean but the previously computed at running mean and variance.

Definition at line 794 of file Propagation.hxx.

BatchNormLayerForwardTraining()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::BatchNormLayerForwardTraining ( int axis, const Tensor_t & x, Tensor_t & y, Matrix_t & gamma, Matrix_t & beta, Matrix_t & mean, Matrix_t & , Matrix_t & iVariance, Matrix_t & runningMeans, Matrix_t & runningVars, Scalar_t nTrainedBatches, Scalar_t momentum, Scalar_t epsilon, const TensorDescriptor_t & bnParDescriptor )

static

The input from each batch are normalized during training to have zero mean and unit variance and they are then scaled by two parameter, different for each input variable:

• a scale factor \gamma gamma
• an offset \beta beta

Definition at line 709 of file Propagation.hxx.

BatchNormLayerReshapeTensor()

template<typename AReal = Float_t>

TCpuTensor< AFloat > TMVA::DNN::TCpu< AFloat >::BatchNormLayerReshapeTensor ( int axis, const Tensor_t & x )

static

Definition at line 693 of file Propagation.hxx.

CalculateConvActivationGradients()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::CalculateConvActivationGradients ( Tensor_t & activationGradientsBackward, const Tensor_t & df, const Matrix_t & weights, size_t batchSize, size_t inputHeight, size_t inputWidth, size_t depth, size_t height, size_t width, size_t filterDepth, size_t filterHeight, size_t filterWidth )

static

Utility function for calculating the activation gradients of the layer before the convolutional layer.

Definition at line 425 of file Propagation.hxx.

CalculateConvBiasGradients()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::CalculateConvBiasGradients ( Matrix_t & biasGradients, const Tensor_t & df, size_t batchSize, size_t depth, size_t nLocalViews )

static

Utility function for calculating the bias gradients of the convolutional layer.

Definition at line 587 of file Propagation.hxx.

CalculateConvWeightGradients()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::CalculateConvWeightGradients ( Matrix_t & weightGradients, const Tensor_t & df, const Tensor_t & activations_backward, size_t batchSize, size_t inputHeight, size_t inputWidth, size_t depth, size_t height, size_t width, size_t filterDepth, size_t filterHeight, size_t filterWidth, size_t nLocalViews )

static

Utility function for calculating the weight gradients of the convolutional layer.

Definition at line 494 of file Propagation.hxx.

calculateDimension()

template<typename AFloat >

size_t TMVA::DNN::TCpu< AFloat >::calculateDimension ( size_t imgDim, size_t fltDim, size_t padding, size_t stride )

static

Calculate how many neurons "fit" in the output layer, given the input as well as the layer's hyperparameters.

Definition at line 314 of file Propagation.hxx.

ConstAdd()

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::ConstAdd ( Matrix_t & A, Scalar_t beta )

static

Add the constant beta to all the elements of matrix A and write the result into A.

Definition at line 302 of file Arithmetic.hxx.

ConstMult()

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::ConstMult ( Matrix_t & A, Scalar_t beta )

static

Multiply the constant beta to all the elements of matrix A and write the result into A.

Definition at line 310 of file Arithmetic.hxx.

ConvLayerBackward()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::ConvLayerBackward ( Tensor_t & activationGradientsBackward, Matrix_t & weightGradients, Matrix_t & biasGradients, Tensor_t & df, Tensor_t & activationGradients, const Matrix_t & weights, const Tensor_t & activationBackward, const Tensor_t & outputTensor, EActivationFunction activFunc, const ConvDescriptors_t & , ConvWorkspace_t & , size_t batchSize, size_t inputHeight, size_t inputWidth, size_t depth, size_t height, size_t width, size_t filterDepth, size_t filterHeight, size_t filterWidth, size_t nLocalViews )

static

Perform the complete backward propagation step in a Convolutional Layer.

If the provided activationGradientsBackward matrix is not empty, compute the gradients of the objective function with respect to the activations of the previous layer (backward direction). Also compute the weight and the bias gradients. Modifies the values in df and thus produces only a valid result, if it is applied the first time after the corresponding forward propagation has been per- formed.

Definition at line 380 of file Propagation.hxx.

ConvLayerForward()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::ConvLayerForward ( Tensor_t & output, Tensor_t & inputActivationFunc, const Tensor_t & input, const Matrix_t & weights, const Matrix_t & biases, const DNN::CNN::TConvParams & params, EActivationFunction activFunc, Tensor_t & , const ConvDescriptors_t & , ConvWorkspace_t &  )

static

Forward propagation in the Convolutional layer.

Definition at line 326 of file Propagation.hxx.

Copy() [1/2]

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::Copy ( Matrix_t & B, const Matrix_t & A )

static

Definition at line 269 of file Arithmetic.hxx.

Copy() [2/2]

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::Copy ( Tensor_t & A, const Tensor_t & B )

static

Definition at line 292 of file Arithmetic.hxx.

CopyDiffArch() [1/3]

template<typename AReal >

template<typename AMatrix_t >

void TMVA::DNN::TCpu< AReal >::CopyDiffArch ( Matrix_t & B, const AMatrix_t & A )

static

Definition at line 820 of file Cpu.h.

CopyDiffArch() [2/3]

template<typename AReal >

template<typename AMatrix_t >

void TMVA::DNN::TCpu< AReal >::CopyDiffArch ( std::vector< Matrix_t > & A, const std::vector< AMatrix_t > & B )

static

Definition at line 854 of file Cpu.h.

CopyDiffArch() [3/3]

template<typename AReal >

template<typename ATensor_t >

void TMVA::DNN::TCpu< AReal >::CopyDiffArch ( Tensor_t & A, const ATensor_t & B )

static

Definition at line 832 of file Cpu.h.

CreateTensor() [1/4]

template<typename AReal = Float_t>

static Tensor_t TMVA::DNN::TCpu< AReal >::CreateTensor ( DeviceBuffer_t buffer, size_t b, size_t t, size_t w )

inlinestatic

Definition at line 118 of file Cpu.h.

CreateTensor() [2/4]

template<typename AReal = Float_t>

static Tensor_t TMVA::DNN::TCpu< AReal >::CreateTensor ( DeviceBuffer_t buffer, size_t n, size_t c, size_t h, size_t w )

inlinestatic

Definition at line 111 of file Cpu.h.

CreateTensor() [3/4]

template<typename AReal = Float_t>

static Tensor_t TMVA::DNN::TCpu< AReal >::CreateTensor ( size_t b, size_t t, size_t w )

inlinestatic

Definition at line 114 of file Cpu.h.

CreateTensor() [4/4]

template<typename AReal = Float_t>

static Tensor_t TMVA::DNN::TCpu< AReal >::CreateTensor ( size_t n, size_t c, size_t h, size_t w )

inlinestatic

Definition at line 108 of file Cpu.h.

CreateWeightTensors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::CreateWeightTensors ( std::vector< Matrix_t > & newWeights, const std::vector< Matrix_t > & weights )

inlinestatic

Definition at line 124 of file Cpu.h.

CrossEntropy()

template<typename AReal = Float_t>

AFloat TMVA::DNN::TCpu< AFloat >::CrossEntropy ( const Matrix_t & Y, const Matrix_t & output, const Matrix_t & weights )

static

Sigmoid transformation is implicitly applied, thus output should hold the linear activations of the last layer in the net.

Definition at line 77 of file LossFunctions.hxx.

CrossEntropyGradients()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::CrossEntropyGradients ( Matrix_t & dY, const Matrix_t & Y, const Matrix_t & output, const Matrix_t & weights )

static

Definition at line 120 of file LossFunctions.hxx.

Deflatten()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::Deflatten ( Tensor_t & A, const Tensor_t & B )

static

Transforms each row of B to a matrix and stores it in the tensor B.

Definition at line 944 of file Propagation.hxx.

Downsample()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::Downsample ( Tensor_t & A, Tensor_t & B, const Tensor_t & C, const PoolingDescriptors_t & , PoolingWorkspace_t & , size_t imgHeight, size_t imgWidth, size_t fltHeight, size_t fltWidth, size_t strideRows, size_t strideCols )

static

Downsample the matrix C to the matrix A, using max operation, such that the winning indices are stored in matrix B.

Definition at line 605 of file Propagation.hxx.

DropoutBackward()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::DropoutBackward ( Tensor_t & , TDescriptors * , TWorkspace *  )

inlinestatic

Definition at line 459 of file Cpu.h.

DropoutForward() [1/2]

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::DropoutForward ( Matrix_t & A, Scalar_t p )

inlinestatic

Definition at line 453 of file Cpu.h.

DropoutForward() [2/2]

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::DropoutForward ( Tensor_t & A, TDescriptors * descriptors, TWorkspace * workspace, Scalar_t p )

static

Apply dropout with activation probability p to the given tensor A and scale the result by reciprocal of p.

FastTanh()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::FastTanh ( Tensor_t & B )

static

Definition at line 158 of file ActivationFunctions.hxx.

FastTanhDerivative()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::FastTanhDerivative ( Tensor_t & B, const Tensor_t & A )

static

Definition at line 165 of file ActivationFunctions.hxx.

Flatten()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::Flatten ( Tensor_t & A, const Tensor_t & B )

static

Flattens the tensor B, such that each matrix, is stretched in one row, resulting with a matrix A.

Definition at line 908 of file Propagation.hxx.

FreeConvWorkspace()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::FreeConvWorkspace ( TWorkspace *& )

inlinestatic

Only used for certain cudnn on-device memory.

Definition at line 170 of file Cpu.h.

FreePoolDropoutWorkspace()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::FreePoolDropoutWorkspace ( TWorkspace *& )

inlinestatic

Definition at line 171 of file Cpu.h.

FreeRNNWorkspace()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::FreeRNNWorkspace ( TWorkspace *& )

inlinestatic

Definition at line 172 of file Cpu.h.

Gauss()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::Gauss ( Tensor_t & B )

static

Definition at line 213 of file ActivationFunctions.hxx.

GaussDerivative()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::GaussDerivative ( Tensor_t & B, const Tensor_t & A )

static

Definition at line 221 of file ActivationFunctions.hxx.

GetRandomGenerator()

template<typename AFloat >

TRandom & TMVA::DNN::TCpu< AFloat >::GetRandomGenerator ( )

static

Definition at line 35 of file Initialization.hxx.

GetTensorLayout()

template<typename AReal = Float_t>

static TMVA::Experimental::MemoryLayout TMVA::DNN::TCpu< AReal >::GetTensorLayout ( )

inlinestatic

Definition at line 106 of file Cpu.h.

GRULayerBackward()

template<typename Scalar_t >

auto TMVA::DNN::TCpu< Scalar_t >::GRULayerBackward ( TCpuMatrix< Scalar_t > & state_gradients_backward, TCpuMatrix< Scalar_t > & reset_weight_gradients, TCpuMatrix< Scalar_t > & update_weight_gradients, TCpuMatrix< Scalar_t > & candidate_weight_gradients, TCpuMatrix< Scalar_t > & reset_state_weight_gradients, TCpuMatrix< Scalar_t > & update_state_weight_gradients, TCpuMatrix< Scalar_t > & candidate_state_weight_gradients, TCpuMatrix< Scalar_t > & reset_bias_gradients, TCpuMatrix< Scalar_t > & update_bias_gradients, TCpuMatrix< Scalar_t > & candidate_bias_gradients, TCpuMatrix< Scalar_t > & dr, TCpuMatrix< Scalar_t > & du, TCpuMatrix< Scalar_t > & dc, const TCpuMatrix< Scalar_t > & precStateActivations, const TCpuMatrix< Scalar_t > & fReset, const TCpuMatrix< Scalar_t > & fUpdate, const TCpuMatrix< Scalar_t > & fCandidate, const TCpuMatrix< Scalar_t > & weights_reset, const TCpuMatrix< Scalar_t > & weights_update, const TCpuMatrix< Scalar_t > & weights_candidate, const TCpuMatrix< Scalar_t > & weights_reset_state, const TCpuMatrix< Scalar_t > & weights_update_state, const TCpuMatrix< Scalar_t > & weights_candidate_state, const TCpuMatrix< Scalar_t > & input, TCpuMatrix< Scalar_t > & input_gradient, bool resetGateAfter )

inlinestatic

Backward pass for GRU Network.

Definition at line 193 of file RecurrentPropagation.hxx.

Hadamard() [1/2]

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::Hadamard ( Matrix_t & A, const Matrix_t & B )

static

Definition at line 117 of file Arithmetic.hxx.

Hadamard() [2/2]

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::Hadamard ( Tensor_t & A, const Tensor_t & B )

static

In-place Hadamard (element-wise) product of matrices A and B with the result being written into A.

Definition at line 152 of file Arithmetic.hxx.

IdentityDerivative()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::IdentityDerivative ( Tensor_t & B, const Tensor_t & A )

static

Definition at line 56 of file ActivationFunctions.hxx.

Im2col()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::Im2col ( Matrix_t & A, const Matrix_t & B, size_t imgHeight, size_t imgWidth, size_t fltHeight, size_t fltWidth, size_t strideRows, size_t strideCols, size_t zeroPaddingHeight, size_t zeroPaddingWidth )

static

Transform the matrix B in local view format, suitable for convolution, and store it in matrix A.

Definition at line 132 of file Propagation.hxx.

Im2colFast()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::Im2colFast ( Matrix_t & A, const Matrix_t & B, const std::vector< int > & V )

static

Definition at line 235 of file Propagation.hxx.

Im2colIndices()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::Im2colIndices ( std::vector< int > & V, const Matrix_t & B, size_t nLocalViews, size_t imgHeight, size_t imgWidth, size_t fltHeight, size_t fltWidth, size_t strideRows, size_t strideCols, size_t zeroPaddingHeight, size_t zeroPaddingWidth )

static

Definition at line 183 of file Propagation.hxx.

InitializeActivationDescriptor()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeActivationDescriptor ( ActivationDescriptor_t & , EActivationFunction , double = 0.0 )

inlinestatic

Definition at line 150 of file Cpu.h.

InitializeBNormDescriptors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeBNormDescriptors ( TDescriptors *& , BNormLayer_t *  )

inlinestatic

Initialize CNN data/operator descriptors.

Not used at the moment.

Definition at line 139 of file Cpu.h.

InitializeConvDescriptors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeConvDescriptors ( TDescriptors *& , ConvLayer_t *  )

inlinestatic

Definition at line 142 of file Cpu.h.

InitializeConvWorkspace()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeConvWorkspace ( TWorkspace *& , TDescriptors *& , const DNN::CNN::TConvParams & , ConvLayer_t *  )

inlinestatic

Definition at line 158 of file Cpu.h.

InitializeGauss()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::InitializeGauss ( Matrix_t & A )

static

Definition at line 43 of file Initialization.hxx.

InitializeGlorotNormal()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::InitializeGlorotNormal ( Matrix_t & A )

static

Truncated normal initialization (Glorot, called also Xavier normal) The values are sample with a normal distribution with stddev = sqrt(2/N_input + N_output) and values larger than 2 * stddev are discarded See Glorot & Bengio, AISTATS 2010 - http://jmlr.org/proceedings/papers/v9/glorot10a/glorot10a.pdf.

Definition at line 85 of file Initialization.hxx.

InitializeGlorotUniform()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::InitializeGlorotUniform ( Matrix_t & A )

static

Sample from a uniform distribution in range [ -lim,+lim] where lim = sqrt(6/N_in+N_out).

This initialization is also called Xavier uniform see Glorot & Bengio, AISTATS 2010 - http://jmlr.org/proceedings/papers/v9/glorot10a/glorot10a.pdf

Definition at line 114 of file Initialization.hxx.

InitializeGRUDescriptors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeGRUDescriptors ( TDescriptors *& , GenLayer_t *  )

inlinestatic

Definition at line 148 of file Cpu.h.

InitializeGRUTensors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeGRUTensors ( GenLayer_t * )

inlinestatic

Definition at line 178 of file Cpu.h.

InitializeGRUWorkspace()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeGRUWorkspace ( TWorkspace *& , TDescriptors *& , GenLayer_t *  )

inlinestatic

Definition at line 168 of file Cpu.h.

InitializeIdentity()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::InitializeIdentity ( Matrix_t & A )

static

Definition at line 133 of file Initialization.hxx.

InitializeLSTMDescriptors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeLSTMDescriptors ( TDescriptors *& , GenLayer_t *  )

inlinestatic

Definition at line 147 of file Cpu.h.

InitializeLSTMTensors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeLSTMTensors ( GenLayer_t * )

inlinestatic

Definition at line 177 of file Cpu.h.

InitializeLSTMWorkspace()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeLSTMWorkspace ( TWorkspace *& , TDescriptors *& , GenLayer_t *  )

inlinestatic

Definition at line 167 of file Cpu.h.

InitializePoolDescriptors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializePoolDescriptors ( TDescriptors *& , PoolingLayer_t *  )

inlinestatic

Definition at line 144 of file Cpu.h.

InitializePoolDropoutWorkspace()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializePoolDropoutWorkspace ( TWorkspace *& , TDescriptors *& , const DNN::CNN::TConvParams & , PoolingLayer_t *  )

inlinestatic

Definition at line 162 of file Cpu.h.

InitializeRNNDescriptors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeRNNDescriptors ( TDescriptors *& , GenLayer_t *  )

inlinestatic

Definition at line 146 of file Cpu.h.

InitializeRNNTensors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeRNNTensors ( GenLayer_t * )

inlinestatic

Definition at line 176 of file Cpu.h.

InitializeRNNWorkspace()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeRNNWorkspace ( TWorkspace *& , TDescriptors *& , GenLayer_t *  )

inlinestatic

Definition at line 166 of file Cpu.h.

InitializeUniform()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::InitializeUniform ( Matrix_t & A )

static

Definition at line 61 of file Initialization.hxx.

InitializeZero() [1/2]

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeZero ( Matrix_t & A )

static

InitializeZero() [2/2]

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::InitializeZero ( Tensor_t & A )

static

IsCudnn()

template<typename AReal = Float_t>

static bool TMVA::DNN::TCpu< AReal >::IsCudnn ( )

inlinestatic

Definition at line 131 of file Cpu.h.

L1Regularization()

template<typename AReal = Float_t>

AFloat TMVA::DNN::TCpu< AFloat >::L1Regularization ( const Matrix_t & W )

static

Definition at line 27 of file Regularization.hxx.

L2Regularization()

template<typename AReal = Float_t>

AFloat TMVA::DNN::TCpu< AFloat >::L2Regularization ( const Matrix_t & W )

static

Definition at line 98 of file Regularization.hxx.

LSTMLayerBackward()

template<typename Scalar_t >

auto TMVA::DNN::TCpu< Scalar_t >::LSTMLayerBackward ( TCpuMatrix< Scalar_t > & state_gradients_backward, TCpuMatrix< Scalar_t > & cell_gradients_backward, TCpuMatrix< Scalar_t > & input_weight_gradients, TCpuMatrix< Scalar_t > & forget_weight_gradients, TCpuMatrix< Scalar_t > & candidate_weight_gradients, TCpuMatrix< Scalar_t > & output_weight_gradients, TCpuMatrix< Scalar_t > & input_state_weight_gradients, TCpuMatrix< Scalar_t > & forget_state_weight_gradients, TCpuMatrix< Scalar_t > & candidate_state_weight_gradients, TCpuMatrix< Scalar_t > & output_state_weight_gradients, TCpuMatrix< Scalar_t > & input_bias_gradients, TCpuMatrix< Scalar_t > & forget_bias_gradients, TCpuMatrix< Scalar_t > & candidate_bias_gradients, TCpuMatrix< Scalar_t > & output_bias_gradients, TCpuMatrix< Scalar_t > & di, TCpuMatrix< Scalar_t > & df, TCpuMatrix< Scalar_t > & dc, TCpuMatrix< Scalar_t > & dout, const TCpuMatrix< Scalar_t > & precStateActivations, const TCpuMatrix< Scalar_t > & precCellActivations, const TCpuMatrix< Scalar_t > & fInput, const TCpuMatrix< Scalar_t > & fForget, const TCpuMatrix< Scalar_t > & fCandidate, const TCpuMatrix< Scalar_t > & fOutput, const TCpuMatrix< Scalar_t > & weights_input, const TCpuMatrix< Scalar_t > & weights_forget, const TCpuMatrix< Scalar_t > & weights_candidate, const TCpuMatrix< Scalar_t > & weights_output, const TCpuMatrix< Scalar_t > & weights_input_state, const TCpuMatrix< Scalar_t > & weights_forget_state, const TCpuMatrix< Scalar_t > & weights_candidate_state, const TCpuMatrix< Scalar_t > & weights_output_state, const TCpuMatrix< Scalar_t > & input, TCpuMatrix< Scalar_t > & input_gradient, TCpuMatrix< Scalar_t > & cell_gradient, TCpuMatrix< Scalar_t > & cell_tanh )

inlinestatic

Backward pass for LSTM Network.

Definition at line 75 of file RecurrentPropagation.hxx.

MaxPoolLayerBackward()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::MaxPoolLayerBackward ( Tensor_t & activationGradientsBackward, const Tensor_t & activationGradients, const Tensor_t & indexMatrix, const Tensor_t & , const Tensor_t & , const PoolingDescriptors_t & , PoolingWorkspace_t & , size_t imgHeight, size_t imgWidth, size_t fltHeight, size_t fltWidth, size_t strideRows, size_t strideCols, size_t nLocalViews )

static

Perform the complete backward propagation step in a Pooling Layer.

Based on the winning indices stored in the index matrix, it just forwards the activation gradients to the previous layer.

Definition at line 650 of file Propagation.hxx.

MeanSquaredError()

template<typename AReal = Float_t>

AFloat TMVA::DNN::TCpu< AFloat >::MeanSquaredError ( const Matrix_t & Y, const Matrix_t & output, const Matrix_t & weights )

static

Definition at line 27 of file LossFunctions.hxx.

MeanSquaredErrorGradients()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::MeanSquaredErrorGradients ( Matrix_t & dY, const Matrix_t & Y, const Matrix_t & output, const Matrix_t & weights )

static

Definition at line 54 of file LossFunctions.hxx.

Multiply()

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::Multiply ( Matrix_t & C, const Matrix_t & A, const Matrix_t & B )

static

Standard multiplication of two matrices A and B with the result being written into C.

Definition at line 42 of file Arithmetic.hxx.

MultiplyTranspose() [1/2]

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::MultiplyTranspose ( Matrix_t & output, const Matrix_t & input, const Matrix_t & weights )

static

Matrix-multiply input with the transpose of weights and write the results into output.

MultiplyTranspose() [2/2]

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::MultiplyTranspose ( Tensor_t & output, const Tensor_t & input, const Matrix_t & weights )

inlinestatic

Definition at line 194 of file Cpu.h.

PrepareInternals()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::PrepareInternals ( Tensor_t & )

inlinestatic

Dummy placeholder - preparation is currently only required for the CUDA architecture.

Definition at line 536 of file Cpu.h.

PrintTensor()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AReal >::PrintTensor ( const Tensor_t & A, const std::string name = "Cpu-tensor", bool truncate = false )

static

Definition at line 862 of file Cpu.h.

Rearrange()

template<typename AFloat >

void TMVA::DNN::TCpu< AFloat >::Rearrange ( Tensor_t & out, const Tensor_t & in )

static

Rearrage data according to time fill B x T x D out with T x B x D matrix in.

Definition at line 968 of file Propagation.hxx.

ReciprocalElementWise()

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::ReciprocalElementWise ( Matrix_t & A )

static

Reciprocal each element of the matrix A and write the result into A.

Definition at line 318 of file Arithmetic.hxx.

RecurrentLayerBackward()

template<typename AReal = Float_t>

auto TMVA::DNN::TCpu< AFloat >::RecurrentLayerBackward ( Matrix_t & state_gradients_backward, Matrix_t & input_weight_gradients, Matrix_t & state_weight_gradients, Matrix_t & bias_gradients, Matrix_t & df, const Matrix_t & state, const Matrix_t & weights_input, const Matrix_t & weights_state, const Matrix_t & input, Matrix_t & input_gradient )

static

Backward pass for Recurrent Networks.

Definition at line 26 of file RecurrentPropagation.hxx.

ReleaseBNormDescriptors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::ReleaseBNormDescriptors ( TDescriptors *& )

inlinestatic

Definition at line 155 of file Cpu.h.

ReleaseConvDescriptors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::ReleaseConvDescriptors ( TDescriptors *& )

inlinestatic

Release CNN data/operator descriptors.

Not used at the moment.

Definition at line 153 of file Cpu.h.

ReleaseDescriptor()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::ReleaseDescriptor ( ActivationDescriptor_t & )

inlinestatic

Definition at line 174 of file Cpu.h.

ReleasePoolDescriptors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::ReleasePoolDescriptors ( TDescriptors *& )

inlinestatic

Definition at line 154 of file Cpu.h.

ReleaseRNNDescriptors()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::ReleaseRNNDescriptors ( TDescriptors *& )

inlinestatic

Definition at line 156 of file Cpu.h.

Relu()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::Relu ( Tensor_t & B )

static

Definition at line 65 of file ActivationFunctions.hxx.

ReluDerivative()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::ReluDerivative ( Tensor_t & B, const Tensor_t & A )

static

Definition at line 73 of file ActivationFunctions.hxx.

Reshape()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::Reshape ( Matrix_t & A, const Matrix_t & B )

static

Transform the matrix B to a matrix with different dimensions A.

Definition at line 893 of file Propagation.hxx.

RNNBackward()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::RNNBackward ( const Tensor_t & , const Matrix_t & , const Matrix_t & , const Tensor_t & , const Tensor_t & , const Matrix_t & , const Matrix_t & , const Tensor_t & , Tensor_t & , Matrix_t & , Matrix_t & , Tensor_t & , const RNNDescriptors_t & , RNNWorkspace_t &  )

inlinestatic

Definition at line 637 of file Cpu.h.

RNNForward()

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::RNNForward ( const Tensor_t & , const Matrix_t & , const Matrix_t & , const Tensor_t & , Tensor_t & , Matrix_t & , Matrix_t & , const RNNDescriptors_t & , RNNWorkspace_t & , bool  )

inlinestatic

Definition at line 631 of file Cpu.h.

RotateWeights()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::RotateWeights ( Matrix_t & A, const Matrix_t & B, size_t filterDepth, size_t filterHeight, size_t filterWidth, size_t numFilters )

static

Rotates the matrix B, which is representing a weights, and stores them in the matrix A.

Definition at line 273 of file Propagation.hxx.

ScaleAdd() [1/2]

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::ScaleAdd ( Matrix_t & A, const Matrix_t & B, Scalar_t beta = 1.0 )

static

Adds a the elements in matrix B scaled by c to the elements in the matrix A.

This is required for the weight update in the gradient descent step.

Definition at line 248 of file Arithmetic.hxx.

ScaleAdd() [2/2]

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::ScaleAdd ( Tensor_t & A, const Tensor_t & B, Scalar_t beta = 1.0 )

static

Above functions extended to vectors.

Definition at line 279 of file Arithmetic.hxx.

SetRandomSeed()

template<typename AFloat >

void TMVA::DNN::TCpu< AFloat >::SetRandomSeed ( size_t seed )

static

Definition at line 29 of file Initialization.hxx.

Sigmoid() [1/2]

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::Sigmoid ( Matrix_t & YHat, const Matrix_t &  )

static

Sigmoid() [2/2]

template<typename AReal = Float_t>

static void TMVA::DNN::TCpu< AReal >::Sigmoid ( Tensor_t & B )

static

SigmoidDerivative()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::SigmoidDerivative ( Tensor_t & B, const Tensor_t & A )

static

Definition at line 90 of file ActivationFunctions.hxx.

Softmax()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::Softmax ( Matrix_t & YHat, const Matrix_t &  )

static

Definition at line 33 of file OutputFunctions.hxx.

SoftmaxCrossEntropy()

template<typename AReal = Float_t>

AFloat TMVA::DNN::TCpu< AFloat >::SoftmaxCrossEntropy ( const Matrix_t & Y, const Matrix_t & output, const Matrix_t & weights )

static

Softmax transformation is implicitly applied, thus output should hold the linear activations of the last layer in the net.

Definition at line 144 of file LossFunctions.hxx.

SoftmaxCrossEntropyGradients()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::SoftmaxCrossEntropyGradients ( Matrix_t & dY, const Matrix_t & Y, const Matrix_t & output, const Matrix_t & weights )

static

Definition at line 180 of file LossFunctions.hxx.

SoftSign()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::SoftSign ( Tensor_t & B )

static

Definition at line 192 of file ActivationFunctions.hxx.

SoftSignDerivative()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::SoftSignDerivative ( Tensor_t & B, const Tensor_t & A )

static

Definition at line 200 of file ActivationFunctions.hxx.

SqrtElementWise()

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::SqrtElementWise ( Matrix_t & A )

static

Square root each element of the matrix A and write the result into A.

Definition at line 334 of file Arithmetic.hxx.

SquareElementWise()

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::SquareElementWise ( Matrix_t & A )

static

Square each element of the matrix A and write the result into A.

Definition at line 326 of file Arithmetic.hxx.

Sum()

template<typename AReal = Float_t>

static Scalar_t TMVA::DNN::TCpu< AReal >::Sum ( const Matrix_t & A )

static

Compute the sum of all elements in A.

SumColumns()

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::SumColumns ( Matrix_t & B, const Matrix_t & A, Scalar_t alpha = 1.0, Scalar_t beta = 0. )

static

Sum columns of (m x n) matrix A and write the results into the first m elements in A.

Definition at line 212 of file Arithmetic.hxx.

SymmetricRelu()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::SymmetricRelu ( Tensor_t & B )

static

Definition at line 173 of file ActivationFunctions.hxx.

SymmetricReluDerivative()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::SymmetricReluDerivative ( Tensor_t & B, const Tensor_t & A )

static

Definition at line 181 of file ActivationFunctions.hxx.

Tanh()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::Tanh ( Tensor_t & B )

static

Definition at line 102 of file ActivationFunctions.hxx.

TanhDerivative()

template<typename AReal = Float_t>

void TMVA::DNN::TCpu< AFloat >::TanhDerivative ( Tensor_t & B, const Tensor_t & A )

static

Definition at line 110 of file ActivationFunctions.hxx.

TransposeMultiply()

template<typename AReal >

void TMVA::DNN::TCpu< AReal >::TransposeMultiply ( Matrix_t & output, const Matrix_t & input, const Matrix_t & Weights, Scalar_t alpha = 1.0, Scalar_t beta = 0. )

static

Matrix multiplication of two matrices A and B^T (transposed) with the result being written into C.

Definition at line 77 of file Arithmetic.hxx.

Member Data Documentation

fgRandomGen

template<typename AFloat_t >

TRandom * TMVA::DNN::TCpu< AFloat_t >::fgRandomGen = nullptr

staticprivate

Definition at line 67 of file Cpu.h.