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Volker Roth

9 accepted papers

2024

Lagrangian Flow Networks for Conservation Laws

ICLR 2024spotlight

We introduce Lagrangian Flow Networks (LFlows) for modeling fluid densities and velocities continuously in space and time. By construction, the proposed LFlows satisfy the continuity equation, a PDE describing mass conservation in its differential form. Our model is based on the insight that soluti…

Cited by 3SourcePDFScholar
2023

Conditional Matrix Flows for Gaussian Graphical Models

NeurIPS 2023poster

Studying conditional independence among many variables with few observations is a challenging task. Gaussian Graphical Models (GGMs) tackle this problem by encouraging sparsity in the precision matrix through $l_q$ regularization with $q\leq1$. However, most GMMs rely on the $l_1$ norm because the o…

Cited by 3SourcePDFScholar
2022

Feature learning and random features in standard finite-width convolutional neural networks: An empirical study

UAI 2022poster

The Neural Tangent Kernel is an important milestone in the ongoing effort to build a theory for deep learning. Its prediction that sufficiently wide neural networks behave as kernel methods, or equivalently as random feature models arising from linearized networks, has been confirmed empirically for…

Cited by 4SourcePDFScholar
2019

Greedy Structure Learning of Hierarchical Compositional Models

CVPR 2019poster

In this work, we consider the problem of learning a hierarchical generative model of an object from a set of images which show examples of the object in the presence of variable background clutter. Existing approaches to this problem are limited by making strong a-priori assumptions about the object…

Cited by 11PDFScholar
2018

Learning Sparse Latent Representations with the Deep Copula Information Bottleneck

ICLR 2018poster

Deep latent variable models are powerful tools for representation learning. In this paper, we adopt the deep information bottleneck model, identify its shortcomings and propose a model that circumvents them. To this end, we apply a copula transformation which, by restoring the invariance properties…

Cited by 35SourcePDFScholar
2016

Bayesian Markov Blanket Estimation

AISTATS 2016poster

This paper considers a Bayesian view for estimating the Markov blanket of a set of query variables, where the set of potential neighbours here is big. We factorize the posterior such that the Markov blanket is conditionally independent of the network of the potential neighbours. By exploiting this…

Cited by 8SourcePDFScholar