#### Former Doctoral Students (first position, degree year, thesis, and advisor)

*Vasily Zadorozhnyy*,*SRI International, Princeton, NJ*

Ph.D. 2023,*Novel Architectures and Optimization Algorithms for Training Neural Networks and Applications*,*Ye**Cole Pospisil*,*Naval Service Warfare Center , IN*

Ph.D. 2023,*Normalization Techniques for Sequential and Graphical Data*,*Ye**Daniel Plaugher*,*Department of Toxicology and Cancer Biology, College of Medicine, University of Kentucky, KY*

Ph.D. 2022,*An Integrated Computational Pipeline to Construct Patient-Specific Cancer Models*,*Murrugarra**Susanna Lange*,*University of Chicago, IL*

Ph.D. 2022,*Batch Normalization Preconditioning for Neural Network Training*,*Ye**K.D.Gayan Maduranga*,*University of Notre Dame, Notre Dame, IN*

Ph.D. 2020,*Unitary and Symmetric Structure in Deep Neural Networks*,*Ye**Kyle Helfrich, Radiance Technologies, Dayton, OH*

Ph.D. 2020,*Orthogonal Recurrent Neural Networks and Batch Normalization in Deep Neural Networks*,*Ye**Kasey Bray, Montgomery Bell Academy, Nashville, TN*

Ph.D. 2019, On the Role of Ill-conditioning: Biharmonic Eigenvalue Problem and Multigrid Algorithms,*Ye**Devin Willmott, Bosch Center for Artificial Intelligence, Pittsburg, PA*

Ph.D. 2018, Recurrent Neural Netwoks and Their Applications to RNA Secondary Structure Inference,*Ye*- Ding Zhao, LeenTaaS Inc., Charlotte, NC

Ph.D. 2018,*Spherulitic Growth and Thermodynamic Equilibrium in Multicomponent Elastic Films Under Solvent-vapor Annealing, Man* - Yucong Sang

Ph.D. 2018,*A Representation Theorem For Material Tensors Of Textured Thin Sheets With Weak Planar Anisotropy, Man* - Hao Wang, Department of Biomedical Engineering, University of Kentucky

Ph.D. 2015,*The Krylov Subspace Methods for the Computation of Matrix Exponentials, Ye* - Qiao Liang, Google Inc. Mountain View, CA

Ph.D. 2015,Ye*Singular Value Computation and Subspace Clustering*, - Wenwen Du, Glenville State College, Glenville, WV

Ph.D. 2014,*Material Tensors and Pseudotensors of Weakly-Textured Polycrystals with Orientation Measure Defined on the Orthogonal Group, Man* - Megan Dailey, Indiana University Kokomo, Kokomo, IN 46904.

Ph.D. 2013,*Relative Perturbation Theory for Diagonally Dominant Matrices,*Ye - Nick Kirby, University of Washington, Seattle, Washington.

Ph.D. 2011, Modeling, Analysis, and Simulation of Discrete-Continuum Models of Step-Flow Epitaxy: Bunching Instabilities and Continuum Limit*,*Jabbour - Weifeng Zhi, UC - Davis, Davis CA.

Ph.D. 2011,*Spectral analysis of nonlinear dimensionality reduction methods**,*Ye - Ping Zhang, Microscape Technology Co., Ltd., Tianjin, China.

Ph.D. 2009, Iterative Methods for Computing Eigenvalues and Exponentials of Large Matrices , Ye - Wei Zhang, Solvers and Design Validation Group, UGS, 10824 Hope Street, Cypress, California, 90630

Ph.D. 2007, GMRES on a tridiagonal Toeplitz linear system, Li - James Money , Department of Mathematics and Computer Science, North Carolina Central University

Ph.D., 2006, Variational Methods for Image Deblurring and Discretized Picard's Method, Kang/Ye - Patrick Quillen, The Mathworks, Inc,

Ph.D., 2005,*Generalizations of an Inverse Free Krylov Subspace Method for the Symmetric Generalized Eigenvalue Problem*, Ye. - Leonard Hoffnung, Solvers and Design Validation Group, UGS, Cypress, California

Ph.D., 2004,*Subspace Projection Methods for the Quadratic Eigenvalue Problem*, Ye/Li. - Karen Walters, Arapahoe Community College, Littleton, CO,

Ph.D., 2003,*Variable Order Cascadic Multigrid,*Douglas. - Jonathan Hu, Sandia National Labs,

Ph.D., 2000,*Cache Based Multigrid on Unstructured Grids in Two and Three Dimensions*, Douglas. - Mark Fahey U.S. Army Engineer Research and Development Center MSRC,

Ph.D., 1998,*Computation of the Bilinear Form*, Bai. - Abdulrakhim Aitbayev

Ph.D., 1998,*Orthogonal Spline Collocation for Nonlinear Elliptic Boundary Value Problems*, Bialecki/Fairweather. - Bingkun Li

Ph.D., 1998,*Discrete-time Orthogonal Spline Collocation Methods for SchrÃ¶dinger-type Problems*, Bialecki/Fairweather. - Qingshan Qian

Ph.D., 1997,*Three Numerical Methods for Solving Generalized Algebraic Riccati Equations*, Hayden/Bai. - Zhuoming Lou

Ph.D., 1996,*Orthogonal Spline Collocation for Biharmonic Problems*, Bialecki/Fairweather. - Clark Wells

Ph.D., 1996,*An Improved Method for Sampling of Molecular Conformation Space*, Hayden. - D. Scott Dillery (Assistant Professor, Albion College)

Ph.D., 1994,*High-order Orthogonal Spline Collocation Schemes for Elliptic and Parabolic Problems*, Bialecki. - Yue Zhang

Ph.D., 1994,*Generalized Divide and Conquer Methods for Symmetric Matrix Eigenvalue Problems*, Hayden.