Dr. Gregory Ongie

Dr. Gregory OngieMarquette University

Cudahy Hall, 367

MilwaukeeWI53201United States of America(414) 288-5223gregory.ongie@marquette.eduPersonal Website

Assistant Professor

Department of Mathematical and Statistical Sciences

Courses Taught

• Differential Equations for Biomedical and Civil Engineers
• Theory of Optimization

Research Interests

• Mathematics of deep learning
• Applied algebraic geometry in data science and machine learning
• Machine learning for medical image reconstruction
• Optimization in computational imaging

Publications

• S. Parkinson, G. Ongie, R. Willett. ReLU neural networks with linear layers are biased towards single- and multi-index models. SIAM Journal on Mathematics of Data Science, 7(3), 1021-1052 (2025). DOI: 10.1137/24M1672158.
• D. Gilton, G. Ongie, R. Willett. Deep equilibrium architectures for inverse problems in imaging. IEEE Transactions on Computational Imaging, 7, 1123-1133 (2021). DOI: 10.1109/TCI.2021.3118944.
• G. Ongie, D. Pimentel-Alarcón, L. Balzano, R. Willett, R.D. Nowak. Tensor methods for nonlinear matrix completion. SIAM Journal on Mathematics of Data Science, 3(1), 253-279 (2021). DOI: 10.1137/20M1323448.