publications

2025

1. The Flow-Limit of Reflect-Reflect-Relax: Existence, Stability, and Discrete-Time Behavior

   Manish Krishan Lal

   arXiv preprint arXiv:2512.23843, 2025
2. Backpropagation from KL Projections: Differential and Exact I-Projection Correspondences

   Manish Krishan Lal

   arXiv preprint arXiv:2512.24335, 2025
3. Real Roots of Real Cubics and Optimization

   Heinz H Bauschke, Manish Krishan Lal, and Xianfu Wang

   Journal of Convex Analysis, 2025

   Dedicated to R. Tyrrell Rockafellar.

   PDF
4. Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models

   Sai Niranjan Ramachandran, Manish Krishan Lal, and Suvrit Sra

   In The Thirty-ninth Annual Conference on Neural Information Processing Systems, 2025
5. A projection-based framework for gradient-free and parallel learning

   Andreas Bergmeister, Manish Krishan Lal, Stefanie Jegelka, and 1 more author

   arXiv preprint arXiv:2506.05878, 2025

2024

1. Nonconvex Projections Arising in Bilinear Mathematical Models

   Manish Krishan Lal

   The University of British Columbia, 2024

2023

1. Projections onto hyperbolas or bilinear constraint sets in Hilbert spaces

   Heinz H Bauschke, Manish Krishan Lal, and Xianfu Wang

   Journal of Global Optimization, 2023
2. Directional asymptotics of Fejér monotone sequences

   Heinz H Bauschke, Manish Krishan Lal, and Xianfu Wang

   Optimization Letters, 2023
3. Projecting onto rectangular hyperbolic paraboloids in Hilbert space

   Heinz H Bauschke, Manish Krishan Lal, and Xianfu Wang

   Applied Set-Valued Analysis & Optimization, 2023

   Dedicated to Henry Wolkowicz.

   PDF

2022

1. The projection onto the cross

   Heinz H Bauschke, Manish Krishan Lal, and Xianfu Wang

   Set-Valued and Variational Analysis, 2022

2021

1. A nonmonotone trust region method for unconstrained optimization problems on Riemannian manifolds

   Xiaobo Li, Xianfu Wang, and Manish Krishan Lal

   Journal of Optimization Theory and Applications, 2021