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math.OC2026
New Bounds for Limited Zarankiewicz Numbers from Blocks
Hanxin Liu, Yisheng Song
The restricted augmented Zarankiewicz number \(z_L(m,n)\) yields core combinatorial lower bounds for the maximal SOS rank of biquadratic forms. All previously known infinite admiss…
math.OC2026
-Eigenpairs of Partially Symmetric Tensors: Exact Reformulation and Perturbation Bounds
Zhuolin Du, Hanxin Liu, Yisheng Song
In this paper, we consider the computation of -eigenpairs of fourth order partially symmetric tensors arising from elasticity theory. First, a lifted fourth order tensor is cons…
math.OC2025
An Image Noise Level Estimation Based on Tensor T-Product
Hanxin Liu, Yisheng Song
Currently, the noise level of color images is estimated by many algorithms through separate selection of each page of the third-order tensor using sliding blocks of size ${M_1} \ti…