4 papers
Robust Completion for Rank-1 Tensors with Noises
Jiawang Nie, Xindong Tang, Jinling Zhou
This paper studies the rank-1 tensor completion problem for cubic tensors when there are noises for observed tensor entries. First, we propose a robust biquadratic optimization mod…
Sparse Copositive Polynomial Optimization
Suhan Zhong, Jinling Zhou, Jiawang Nie +1
This paper studies the copositive optimization problem whose objective is a sparse polynomial, with linear constraints over the nonnegative orthant. We propose sparse Moment-SOS re…
A Tight SDP Relaxation for the Cubic-Quartic Regularization Problem
Jinling Zhou, Xin Liu, Jiawang Nie +1
This paper studies how to compute global minimizers of the cubic-quartic regularization (CQR) problem \[ \min_{s \in \mathbb{R}^n} \quad f_0+g^Ts+\frac{1}{2}s^THs+\fracβ{6}\| s \|^…
The Rank-1 Completion Problem for Cubic Tensors
Jinling Zhou, Jiawang Nie, Zheng Peng +1
This paper studies the rank- tensor completion problem for cubic tensors. First of all, we show that this problem is equivalent to a special rank- matrix recovery problem. Wh…