3 papers
stat.ML2025
Markov Chain Gradient Descent in Hilbert Spaces
Priyanka Roy, Susanne Saminger-Platz
In this paper, we study a Markov chain-based stochastic gradient algorithm in general Hilbert spaces, aiming at approximating the optimal solution of a quadratic loss function. We…
stat.ML2025
Gradient Descent Algorithm in Hilbert Spaces under Stationary Markov Chains with - and -Mixing
Priyanka Roy, Susanne Saminger-Platz
In this paper, we study a strictly stationary Markov chain gradient descent algorithm operating in general Hilbert spaces. Our analysis focuses on the mixing coefficients of the un…
stat.ML2025
Online Regularized Learning Algorithms in RKHS with - and -Mixing Sequences
Priyanka Roy, Susanne Saminger-Platz
In this paper, we study an online regularized learning algorithm in a reproducing kernel Hilbert spaces (RKHS) based on a class of dependent processes. We choose such a process whe…