4 papers
Recover Cell Tensor: Diffusion-Equivalent Tensor Completion for Fluorescence Microscopy Imaging
Chenwei Wang, Zhaoke Huang, Zelin Li +1
Fluorescence microscopy (FM) imaging is a fundamental technique for observing live cell division, one of the most essential processes in the cycle of life and death. Observing 3D l…
Sufficiently Regularized Nonnegative Quartic Polynomials are Sum-of-Squares
Wenqi Zhu, Coralia Cartis
A polynomial that is nonnegative need not be a sum of squares of polynomials. This classical gap, identified by Hilbert in 1888, lies at the heart of why the global optimization of…
SoS1: O1 and R1-Like Reasoning LLMs are Sum-of-Square Solvers
Kechen Li, Wenqi Zhu, Coralia Cartis +2
Large Language Models (LLMs) have achieved human-level proficiency across diverse tasks, but their ability to perform rigorous mathematical problem solving remains an open challeng…
Tensor-based Dinkelbach method for computing generalized tensor eigenvalues and its applications
Haibin Chen, Wenqi Zhu, Coralia Cartis
In this paper, we propose a novel tensor-based Dinkelbach--Type method for computing extremal tensor generalized eigenvalues. We show that the extremal tensor generalized eigenvalu…