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math.FA2022
Probabilistic bounds on best rank-one approximation ratio
Khazhgali Kozhasov, Josué Tonelli-Cueto
We provide new upper and lower bounds on the minimum possible ratio of the spectral and Frobenius norms of a (partially) symmetric tensor. In the particular case of general tensors…
math.FA2019
Positivity Certificates via Integral Representations
Khazhgali Kozhasov, Mateusz Michałek, Bernd Sturmfels
Complete monotonicity is a strong positivity property for real-valued functions on convex cones. It is certified by the kernel of the inverse Laplace transform. We study this for n…