3 papers
cs.LG2026
Complex Stochastic Gradient Descent and Directional Bias in Reproducing Kernel Hilbert Spaces
Natanael Alpay, Emeric Battaglia
Stochastic Gradient Descent (SGD) is a known stochastic iterative method popular for large-scale convex optimization problems due to its simple implementation and scalability. Some…
math.NA2025
Quantile-RK and Double Quantile-RK Error Horizon Analysis
Emeric Battaglia, Anna Ma
In solving linear systems of equations of the form , corruptions present in affect stochastic iterative algorithms' ability to reach the true solution to the unc…
math.NA2024
Reverse Quantile-RK and its Application to Quantile-RK
Emeric Battaglia, Anna Ma
When solving linear systems , and are given, but the measurements often contain corruptions. Inspired by recent work on the quantile-randomized Kaczmarz method, w…