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On semidefinite descriptions for convex hulls of quadratic programs
Alex L. Wang, Fatma Kilinc-Karzan
https://arxiv.org/abs/2403.04752 https://

On semidefinite descriptions for convex hulls of quadratic programs
Quadratically constrained quadratic programs (QCQPs) are a highly expressive class of nonconvex optimization problems. While QCQPs are NP-hard in general, they admit a natural convex relaxation via the standard semidefinite program (SDP) relaxation. In this paper we study when the convex hull of the epigraph of a QCQP coincides with the projected epigraph of the SDP relaxation. We present a sufficient condition for convex hull exactness and show that this condition is further necessary under an…

Uncertainty-driven and Adversarial Calibration Learning for Epicardial Adipose Tissue Segmentation
Kai Zhao, Zhiming Liu, Jiaqi Liu, Jingbiao Zhou, Bihong Liao, Huifang Tang, Qiuyu Wang, Chunquan Li
https://arxiv.org/abs/2402.14349

Uncertainty-driven and Adversarial Calibration Learning for Epicardial Adipose Tissue Segmentation
Epicardial adipose tissue (EAT) is a type of visceral fat that can secrete large amounts of adipokines to affect the myocardium and coronary arteries. EAT volume and density can be used as independent risk markers measurement of volume by noninvasive magnetic resonance images is the best method of assessing EAT. However, segmenting EAT is challenging due to the low contrast between EAT and pericardial effusion and the presence of motion artifacts. we propose a novel feature latent space multile…

This https://arxiv.org/abs/2403.04752 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On semidefinite descriptions for convex hulls of quadratic programs
Quadratically constrained quadratic programs (QCQPs) are a highly expressive class of nonconvex optimization problems. While QCQPs are NP-hard in general, they admit a natural convex relaxation via the standard semidefinite program (SDP) relaxation. In this paper we study when the convex hull of the epigraph of a QCQP coincides with the projected epigraph of the SDP relaxation. We present a sufficient condition for convex hull exactness and show that this condition is further necessary under an…