most citedAdamMCMC: Combining Metropolis Adjusted Langevin with Momentum-based Optimization

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

stat.ML2023★ 1 cited

AdamMCMC: Combining Metropolis Adjusted Langevin with Momentum-based Optimization

Sebastian Bieringer, Gregor Kasieczka, Maximilian F. Steffen +1

Uncertainty estimation is a key issue when considering the application of deep neural network methods in science and engineering. In this work, we introduce a novel algorithm that…

stat.ML2023

The surrogate Gibbs-posterior of a corrected stochastic MALA: Towards uncertainty quantification for neural networks

Sebastian Bieringer, Gregor Kasieczka, Maximilian F. Steffen +1

MALA is a popular gradient-based Markov chain Monte Carlo method to access the Gibbs-posterior distribution. Stochastic MALA (sMALA) scales to large data sets, but changes the targ…

math.ST2023

Estimating a multivariate Lévy density based on discrete observations

Maximilian F. Steffen

Existing results for the estimation of the Lévy measure are mostly limited to the onedimensional setting. We apply the spectral method to multidimensional Lévy processes in order t…

math.ST2023

PAC-Bayes Bounds for High-Dimensional Multi-Index Models with Unknown Active Dimension

Maximilian F. Steffen

The multi-index model with sparse dimension reduction matrix is a popular approach to circumvent the curse of dimensionality in a high-dimensional regression setting. Building on t…

math.ST2022

A PAC-Bayes oracle inequality for sparse neural networks

Maximilian F. Steffen, Mathias Trabs

We study the Gibbs posterior distribution for sparse deep neural nets in a nonparametric regression setting. The posterior can be accessed via Metropolis-adjusted Langevin algorith…