A group-algebraic tensor framework delivers Eckart-Young optimal equivariant approximations and recovers physical selection rules from data alone via a Lean-formalized star_G algebra.
Quasi tubal tensor algebra for separable groups
2 Pith papers cite this work. Polarity classification is still indexing.
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Copositive matrices with nondecreasing off-diagonal entries admit a PSD plus nonnegative decomposition, which implies exactness of a natural relaxation for separable quadratic optimization over the simplex.
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Group-Algebraic Tensors: Provably-optimal Equivariant Learning and Physical Symmetry Discovery
A group-algebraic tensor framework delivers Eckart-Young optimal equivariant approximations and recovers physical selection rules from data alone via a Lean-formalized star_G algebra.
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Copositive Matrices with Ordered Off-Diagonal Entries
Copositive matrices with nondecreasing off-diagonal entries admit a PSD plus nonnegative decomposition, which implies exactness of a natural relaxation for separable quadratic optimization over the simplex.