svd_adjoint_evaluator()

STensor syten::STensorImpl::Autodiff::svd_adjoint_evaluator	(	ComputeNode &	node,
		STensorId const	result_id,
		SBasisId const &	us_basis,
		SBasisId const &	sv_basis
	)

Evaluates the adjoint of a SVD identified by ComputeNode node.

Parameters

node	Reference to the ComputeNode representing the SVD
result_id	ID of the tensor which is to be differentiated
us_basis	ID of the generated basis between U and S tensors
sv_basis	ID of the generated basis between S and V tensors

Remarks

The expression follows Townsend, "Differentiating the Singular Value Decomposition", 2016, with some educated guesses on what to conjugate (note that I am evaluating the conjugate of his expression, too!). It may be wrong.

References syten::STensorImpl::conj(), syten::STensorImpl::SBasisId::cprime(), syten::STensorImpl::gen_io(), syten::STensorImpl::Autodiff::ComputeNode::get_cached_tensors(), syten::STensorImpl::Autodiff::ComputeNode::get_output_adjoint(), syten::STensorImpl::hadamard(), syten::STensorImpl::hadamard_inv_diffdiff(), syten::RepRegister::id(), syten::STensorImpl::invert_diagonal(), std::move(), syten::STensorImpl::STensorProxy::prime(), syten::STensorImpl::project(), syten::STensorImpl::proxy(), and syten::STensorImpl::sum().

Referenced by syten::STensorImpl::svd().

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