Search Results for author: Anna Wienhard

Found 5 papers, 3 papers with code

Vector-valued Distance and Gyrocalculus on the Space of Symmetric Positive Definite Matrices

1 code implementation NeurIPS 2021 Federico López, Beatrice Pozzetti, Steve Trettel, Michael Strube, Anna Wienhard

We propose the use of the vector-valued distance to compute distances and extract geometric information from the manifold of symmetric positive definite matrices (SPD), and develop gyrovector calculus, constructing analogs of vector space operations in this curved space.

Knowledge Graph Completion Question Answering

Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approach

2 code implementations9 Jun 2021 Federico López, Beatrice Pozzetti, Steve Trettel, Michael Strube, Anna Wienhard

We propose the systematic use of symmetric spaces in representation learning, a class encompassing many of the previously used embedding targets.

Graph Reconstruction Node Classification +3

Hermitian Symmetric Spaces for Graph Embeddings

1 code implementation11 May 2021 Federico López, Beatrice Pozzetti, Steve Trettel, Anna Wienhard

Learning faithful graph representations as sets of vertex embeddings has become a fundamental intermediary step in a wide range of machine learning applications.

The self-similar evolution of stationary point processes via persistent homology

no code implementations10 Dec 2020 Daniel Spitz, Anna Wienhard

Persistent homology provides a robust methodology to infer topological structures from point cloud data.

Point Processes Probability

Anosov representations with Lipschitz limit set

no code implementations15 Oct 2019 Beatrice Pozzetti, Andrés Sambarino, Anna Wienhard

We study Anosov representations whose limit set has intermediate regularity, namely is a Lipschitz submanifold of a flag manifold.

Differential Geometry Dynamical Systems Group Theory

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