2 papers
stat.ML2025
The Interplay of Statistics and Noisy Optimization: Learning Linear Predictors with Random Data Weights
Gabriel Clara, Yazan Mash'al
We analyze gradient descent with randomly weighted data points in a linear regression model, under a generic weighting distribution. This includes various forms of stochastic gradi…
math.ST2024
Dropout Regularization Versus -Penalization in the Linear Model
Gabriel Clara, Sophie Langer, Johannes Schmidt-Hieber
We investigate the statistical behavior of gradient descent iterates with dropout in the linear regression model. In particular, non-asymptotic bounds for the convergence of expect…