Search Results for author: Bastian Boll

Found 4 papers, 1 papers with code

Generative Modeling of Discrete Joint Distributions by E-Geodesic Flow Matching on Assignment Manifolds

no code implementations12 Feb 2024 Bastian Boll, Daniel Gonzalez-Alvarado, Christoph Schnörr

This paper introduces a novel generative model for discrete distributions based on continuous normalizing flows on the submanifold of factorizing discrete measures.

Quantum State Assignment Flows

no code implementations30 Jun 2023 Jonathan Schwarz, Jonas Cassel, Bastian Boll, Martin Gärttner, Peter Albers, Christoph Schnörr

This paper introduces assignment flows for density matrices as state spaces for representing and analyzing data associated with vertices of an underlying weighted graph.

A Nonlocal Graph-PDE and Higher-Order Geometric Integration for Image Labeling

no code implementations9 May 2022 Dmitrij Sitenko, Bastian Boll, Christoph Schnörr

We devise an entropy-regularized difference-of-convex-functions (DC) decomposition of this potential and show that the basic geometric Euler scheme for integrating the assignment flow is equivalent to solving the G-PDE by an established DC programming scheme.

Math

Self-Certifying Classification by Linearized Deep Assignment

1 code implementation26 Jan 2022 Bastian Boll, Alexander Zeilmann, Stefania Petra, Christoph Schnörr

We propose a novel class of deep stochastic predictors for classifying metric data on graphs within the PAC-Bayes risk certification paradigm.

Classification

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