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Tensor-rank and lower bounds for arithmetic formulas

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Publication:2875193
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DOI10.1145/1806689.1806780zbMath1293.90043OpenAlexW1994433543MaRDI QIDQ2875193

Ran Raz

Publication date: 13 August 2014

Published in: Proceedings of the forty-second ACM symposium on Theory of computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1806689.1806780


zbMATH Keywords

lower boundstensor rankarithmetic circuitsmultilinear circuitshomogenous circuits


Mathematics Subject Classification ID

Linear programming (90C05) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17)


Related Items (10)

On the Size of Depth-Three Boolean Circuits for Computing Multilinear Functions ⋮ Lower Bounds for Depth-4 Formulas Computing Iterated Matrix Multiplication ⋮ A case of depth-3 identity testing, sparse factorization and duality ⋮ Barriers for Rank Methods in Arithmetic Complexity ⋮ The Computational Power of Depth Five Arithmetic Circuits ⋮ A spectral theory for tensors ⋮ Tensor Rank is Hard to Approximate ⋮ A Selection of Lower Bounds for Arithmetic Circuits ⋮ Border Rank Nonadditivity for Higher Order Tensors ⋮ Unifying known lower bounds via geometric complexity theory




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