For generically generated moment matrices with O(n^d) atoms, the minimal face of the pseudo-moment cone is simplicial, enabling an efficient Carathéodory-type atomic decomposition algorithm.
Tssos: A moment-sos hierarchy that exploits term sparsity.SIAM Journal on Optimization, 31(1):30–58
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.OC 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Simplicial Regularizability of the Pseudo-Moment Cone and Carath\'eodory-Type Atomic Decomposition of Moment Matrices
For generically generated moment matrices with O(n^d) atoms, the minimal face of the pseudo-moment cone is simplicial, enabling an efficient Carathéodory-type atomic decomposition algorithm.