Papers

On the Complexity of Finding a Local Minimizer of a Quadratic Function over a Polytope

Amir Ali Ahmadi, Jeffrey Zhang

Math. Program. 195, 783–792 (2022).

Complexity Aspects of Local Minima and Related Notions

Amir Ali Ahmadi, Jeffrey Zhang

Advances in Mathematics, (2022). Volume 397, Article 108119.

Slides.

On the Complexity of Testing Attainment of the Optimal Value in Nonlinear Optimization

Amir Ali Ahmadi, Jeffrey Zhang

Math. Program. 184, 221–241 (2020).

Semidefinite Programming and Nash Equilibria in Bimatrix Games

Amir Ali Ahmadi, Jeffrey Zhang

INFORMS Journal on Computing 33(2):607-628, 2020.

Decision trees for identifying predictors of treatment effectiveness in clinical trials and its application to ovulation in a study of women with polycystic ovary syndrome  

Heping Zhang, Richard S Legro, Jeffrey Zhang, Leon Zhang, Xiang Chen, Hao Huang, Peter R Casson, William D Schlaff, Michael P Diamond, Stephen A Krawetz, Christos Coutifaris, Robert G Brzyski, Gregory M Christman, Nanette Santoro, Esther Eisenberg, Reproductive Medicine Network

Hum Reprod. 2010 Oct;25(10):2612-21.

Higher-Order Newton Methods with Polynomial Work per Iteration 

Amir Ali Ahmadi, Abraar Chaudhry, Jeffrey Zhang

Submitted to Advances in Mathematics

A Study of Biomedical Relation Extraction Using GPT Models 

Jeffrey Zhang, Maxwell Wibert, Huixue Zhou, Xueqing Peng, Qingyu Chen, Vipina K Keloth, Yan Hu, Rui Zhang, Hua Xu, Kalpana Raja

Accepted to AMIA Informatics Summit 2024.

An Unregularized Third-Order Newton Method

Olha Silina, Jeffrey Zhang

To be submitted.

PhD Thesis

Complexity Aspects of Fundamental Questions in Polynomial Optimization