S. Langer

activity

20192023

most citedOn the rate of convergence of fully connected very deep neural network regression estimates

18 citations · 37 across the 9 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

cs.LG2023★ 1 cited

Learning Green's Function Efficiently Using Low-Rank Approximations

Kishan Wimalawarne, Taiji Suzuki, Sophie Langer

Learning the Green's function using deep learning models enables to solve different classes of partial differential equations. A practical limitation of using deep learning for the…

math.ST2023★ 3 cited

Dropout Regularization Versus $ℓ_{2}$ -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…

Learning Green's Function Efficiently Using Low-Rank Approximations

Dropout Regularization Versus ℓ2​-Penalization in the Linear Model

Dropout Regularization Versus $ℓ_{2}$ -Penalization in the Linear Model