Kalman-Based Stochastic Gradient Method with Stop Condition and Insensitivity to Conditioning. - Vivak Patel (SIAM J. Optim., 2016)

On SGD's Failure in Practice: Characterizing and Overcoming Stalling. - Vivak Patel (CoRR, 2017)

Machine learning for optimizing complex site-specific management. - Yuji Saikai; Vivak Patel; Paul D. Mitchell (Comput. Electron. Agric., 2020)

Convergence of Adaptive, Randomized, Iterative Linear Solvers. - Vivak Patel; Mohammad Jahangoshahi; Daniel Adrian Maldonado (CoRR, 2021)

Second-Order Sensitivity Methods for Robustly Training Recurrent Neural Network Models. - Liam Johnston; Vivak Patel (IEEE Control. Syst. Lett., 2021)

An Implicit Representation and Iterative Solution of Randomly Sketched Linear Systems. - Vivak Patel; Mohammad Jahangoshahi; Daniel A. Maldonado (SIAM J. Matrix Anal. Appl., 2021)

Global Convergence and Stability of Stochastic Gradient Descent. - Vivak Patel; Shushu Zhang; Bowen Tian (NeurIPS, 2022)

Residual Tracking and Stopping for Iterative Random Sketching. - Nathaniel Pritchard; Vivak Patel (CoRR, 2022)

Stopping criteria for, and strong convergence of, stochastic gradient descent on Bottou-Curtis-Nocedal functions. - Vivak Patel (Math. Program., 2022)

Towards Practical Large-Scale Randomized Iterative Least Squares Solvers through Uncertainty Quantification. - Nathaniel Pritchard; Vivak Patel (SIAM/ASA J. Uncertain. Quantification, 2023)

Randomized Block Adaptive Linear System Solvers. - Vivak Patel; Mohammad Jahangoshahi; Daniel Adrian Maldonado (SIAM J. Matrix Anal. Appl., 2023)

Recent Advances in Non-convex Smoothness Conditions and Applicability to Deep Linear Neural Networks. - Vivak Patel; Christian Varner (CoRR, 2024)

Gradient Descent in the Absence of Global Lipschitz Continuity of the Gradients. - Vivak Patel; Albert S. Berahas (SIAM J. Math. Data Sci., 2024)

Revisiting the problem of learning long-term dependencies in recurrent neural networks. - Liam Johnston; Vivak Patel; Yumian Cui; Prasanna Balaprakash (Neural Networks, 2025)

Scientific Applications Leveraging Randomized Linear Algebra. - Vivak Patel; Daniel Adrian Maldonado; Maksim Melnichenko; Nathaniel Pritchard; Vishwas Rao; Elizaveta Rebrova; Sriram Sankararaman (CoRR, 2025)

2024 NSF CSSI-Cybertraining-SCIPE PI Meeting August 12 to 13, 2024, Charlotte, NC. - Abani K. Patra; Mary P. Thomas; Elias Bou-Harb; Jeffrey C. Carver; Yuebin Guo; Ratnesh Kumar; Julien Langou; Guoyu Lu; Vivak Patel; Marianna Safronova; Isla Simpson; Dhruva Chakravorty; et al. (CoRR, 2025)