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Julius Berner's Projects

deep_kolmogorov icon deep_kolmogorov

Numerically Solving Parametric Families of High-Dimensional Kolmogorov Partial Differential Equations via Deep Learning (NeurIPS 2020)

dpot icon dpot

Code for "DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training"

neural_wos icon neural_wos

Efficient neural PDE solvers for elliptic PDEs based on Walk-on-Spheres methods.

neuralcompression icon neuralcompression

A collection of tools for neural compression enthusiasts. Featuring my work on Bits-Back coding with diffusion models, see projects/bits_back_diffusion.

nf_tutorial icon nf_tutorial

A short tutorial on normalizing flows using jupyter slides

pgm_tutorial icon pgm_tutorial

A short introduction to probabilistic graphical models using jupyter slides

regularity_relu_network icon regularity_relu_network

Towards a regularity theory for ReLU networks (construction of approximating networks, ReLU derivative at zero, theory)

robust_kolmogorov icon robust_kolmogorov

Robust SDE-Based Variational Formulations for Solving Linear PDEs via Deep Learning (ICML 2022)

rpi_vpn_router icon rpi_vpn_router

Ansible playbook to setup a VPN router using OpenWrt on a Raspberry Pi

sde_sampler icon sde_sampler

Improved sampling via learned diffusions (ICLR2024) and an optimal control perspective on diffusion-based generative modeling (TMLR2024)

svm_tf_pytorch icon svm_tf_pytorch

Soft-margin SVM gradient-descent implementation in PyTorch and TensorFlow/Keras

theory2practice icon theory2practice

Learning ReLU networks to high uniform accuracy is intractable (ICLR 2023)

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