- applied and computational mathematics

- Mathematics

My recent research results are in the areas of deep learning and numerical analysis.

*SCP-GAN: Self-Correcting Discriminator Optimization for Training Consistency Preserving Metric GAN on Speech Enhancement Tasks, (with V. Zadorozhnyy and K. Koishida), * * INTERSPEECH 2023.*

*Novel Molecular Representations using Neumann-Cayley Orthogonal Gated Recurrent Unit, (with E. Mucllari, V. Zadorozhnyy, and D. Nguyen) *, * Journal of Chemical Information and Modeling, 2023, 63, 9, 2656–2666.*

*Batch Normalization Preconditioning for Neural Network Training, (with Susanna Lange and Kyle Helfrich), ** Journal of Machine Learning Research, 23(72):1-41, 2022.*

*Symmetry-Structured Convolutional Neural Networks, (with K.D. Gayan Maduranga and Vasily Zadorozhnyy), ** Neural Computing and Applications.35, 4421–4434 (2023).*

*Stochastic Gradient Descent with Nonlinear Conjugate Gradient-Style Adaptive Momentum, (with Bao Wang),* * IEEE Transactions on Neural Networks and Learning Systems. 2023.*

*Adaptive Weighted Discriminator for Training Generative Adversarial Networks, (with Vasily Zadorozhnyy and Qiang Cheng), **Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 2021, pp. 4781-4790. *

*Eigenvalue Normalized Recurrent Neural Networks for Short Term Memory, (with K. Helfrich), (arXiv:1911.07964), Proceedings of the Thirty-Fourth AAAI Conference on Artificial Intelligence*, Vol 34 No 04: Pages 4115-4122, 2020.

*Orthogonal Recurrent Neural Networks with Scaled Cayley Transform, (with K. Helfrich and D. Willmott), **Proceedings of the 35th International Conference on Machine Learning*, ICML 2018, PMLR 80:1969-1978, 2018.

*Preconditioning for Accurate Solutions of Ill-Conditioned Linear Systems,* *Numerical Linear Algebra with Applications, 27(2020):e2315.*

*Error Bounds for the Krylov Subspace methods for Computations of Matrix Exponentials, (with H. Wang), **SIAM J. Matrix Anal. Appl., 38(1), 155–187.*

*Accurate Inverses for Computing Eigenvalues of Extremely Ill-Conditioned Matrices and Differential Operators, **Math. Comp. 87 (2018), 237-259*