Signal processing on signed graphs: Fundamentals and potentials

T Dittrich, G Matz - IEEE Signal Processing Magazine, 2020 - ieeexplore.ieee.org
A wide range of data science problems can be modeled in terms of a graph (or network), eg,
social, sensor, communication, infrastructure, and biological networks. The nodes in a …

On Generalized Signature Graphs

G Matz - ICASSP 2024-2024 IEEE International Conference on …, 2024 - ieeexplore.ieee.org
Graph signal processing (GSP) has provided a wide range of powerful methodologies for
diverse learning tasks. While the data domain in GSP is fundamentally non-Euclidean, the …

Efficient learning of balanced signature graphs

G Matz, C Verardo, T Dittrich - ICASSP 2023-2023 IEEE …, 2023 - ieeexplore.ieee.org
The novel concept of signature graphs extends signed graphs by admitting multiple types of
partial similarity/agreement or dissimilarity/disagreement. Extending the concept of …

Learning signed graphs from data

G Matz, T Dittrich - ICASSP 2020-2020 IEEE International …, 2020 - ieeexplore.ieee.org
Signed graphs have recently been found to offer advantages over unsigned graphs in a
variety of tasks. However, the problem of learning graph topologies has only been …

The truncated variational model for image labeling and graph partitioning

Y Li, Y Yang, K Yin, Y Duan, J Yuan - Inverse Problems and …, 2024 - aimsciences.org
Image labeling and graph partitioning aim to divide a set of pixels or vertices into a specific
number of meaningful groups. In this paper, we propose effective truncated regularization …

Non-convex total variation minimization for signed graph cut clustering

T Dittrich, G Matz - 2021 55th Asilomar Conference on Signals …, 2021 - ieeexplore.ieee.org
We consider graph cut minimization in signed graphs with three clusters. To this end, we use
the signed total variation, which is convex and has shown promising results in our previous …

Unsupervised clustering on signed graphs with unknown number of clusters

T Dittrich, G Matz - 2020 28th European Signal Processing …, 2021 - ieeexplore.ieee.org
We consider the problem of unsupervised clustering on signed graphs, ie, graphs with
positive and negative edge weights. Motivated by signed cut minimization, we propose an …

A Linearly Constrained Power Iteration for Spectral Semi-Supervised Classification on Signed Graphs

T Dittrich, G Matz - 2022 IEEE Data Science and Learning …, 2022 - ieeexplore.ieee.org
In this work we consider the problem of semi-supervised node classification and extend the
method of Xu et al.[1] to a multiclass setting.[1] proposed a linearly constrained variant of the …

A Maximum A Posteriori Relaxation For Clustering The Labeled Stochastic Block Model

T Dittrich, G Matz - 2021 29th European Signal Processing …, 2021 - ieeexplore.ieee.org
We consider the clustering problem for the labeled stochastic block model (LSBM) with non-
uniform class priors. We introduce a novel relaxation of the maximum a posteriory (MAP) …

Clustering on dynamic graphs based on total variation

P Berger, T Dittrich, G Matz - 2019 13th International conference …, 2019 - ieeexplore.ieee.org
We consider the problem of multiclass clustering on dynamic graphs. At each time instant,
the proposed algorithm performs local updates of the clusters in regions of nodes whose …