Search Results - "Götte, Michael"

A Block-Sparse Tensor Train Format for Sample-Efficient High-Dimensional Polynomial Regression by Götte, Michael, Schneider, Reinhold, Trunschke, Philipp

“…Low-rank tensors are an established framework for the parametrization of multivariate polynomials. We propose to extend this framework by including the concept…”
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Applications of Tensor Networks in Quantum Chemistry and Polynomial Regression by Götte, Michael

“…We introduce the concept of block sparse tensor trains to the mathematical community, which is known to physicists as sector decomposed matrix product states…”
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Particle number conservation and block structures in matrix product states by Bachmayr, Markus, Götte, Michael, Pfeffer, Max

“…The eigenvectors of the particle number operator in second quantization are characterized by the block sparsity of their matrix product state representations…”
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A block-sparse Tensor Train Format for sample-efficient high-dimensional Polynomial Regression by Götte, Michael, Schneider, Reinhold, Trunschke, Philipp

“…Low-rank tensors are an established framework for high-dimensional least-squares problems. We propose to extend this framework by including the concept of…”
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Particle Number Conservation and Block Structures in Matrix Product States by Bachmayr, Markus, Götte, Michael, Pfeffer, Max

“…The eigenvectors of the particle number operator in second quantization are characterized by the block sparsity of their matrix product state representations…”
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