Search Results for author: Ingo Scholtes

Found 16 papers, 7 papers with code

The Self-Loop Paradox: Investigating the Impact of Self-Loops on Graph Neural Networks

1 code implementation4 Dec 2023 Moritz Lampert, Ingo Scholtes

In this work, we counter this intuition and show that for certain GNN architectures, the information a node gains from itself can be smaller in graphs with self-loops compared to the same graphs without.

Node Classification

Using Causality-Aware Graph Neural Networks to Predict Temporal Centralities in Dynamic Graphs

no code implementations24 Oct 2023 Franziska Heeg, Ingo Scholtes

We experimentally evaluate our approach in 13 temporal graphs from biological and social systems and show that it considerably improves the prediction of both betweenness and closeness centrality compared to a static Graph Convolutional Neural Network.

Recommendation Systems Time Series

The Map Equation Goes Neural

no code implementations2 Oct 2023 Christopher Blöcker, Chester Tan, Ingo Scholtes

We consider the map equation, an information-theoretic objective function for unsupervised community detection.

Clustering Community Detection +2

Bayesian Inference of Transition Matrices from Incomplete Graph Data with a Topological Prior

no code implementations27 Oct 2022 Vincenzo Perri, Luka V. Petrovic, Ingo Scholtes

Lastly, we show that this higher accuracy improves the results for downstream network analysis tasks like cluster detection and node ranking, which highlights the practical relevance of our method for analyses of various networked systems.

Bayesian Inference Graph Learning

De Bruijn goes Neural: Causality-Aware Graph Neural Networks for Time Series Data on Dynamic Graphs

no code implementations17 Sep 2022 Lisi Qarkaxhija, Vincenzo Perri, Ingo Scholtes

Our architecture builds on multiple layers of higher-order De Bruijn graphs, an iterative line graph construction where nodes in a De Bruijn graph of order k represent walks of length k-1, while edges represent walks of length k. We develop a graph neural network architecture that utilizes De Bruijn graphs to implement a message passing scheme that follows a non-Markovian dynamics, which enables us to learn patterns in the causal topology of a dynamic graph.

graph construction Model Selection +3

Inference of time-ordered multibody interactions

1 code implementation29 Nov 2021 Unai Alvarez-Rodriguez, Luka V. Petrović, Ingo Scholtes

We introduce time-ordered multibody interactions to describe complex systems manifesting temporal as well as multibody dependencies.

Predicting Influential Higher-Order Patterns in Temporal Network Data

no code implementations26 Jul 2021 Christoph Gote, Vincenzo Perri, Ingo Scholtes

We compare MOGen-based centralities to equivalent measures for network models and path data in a prediction experiment where we aim to identify influential nodes in out-of-sample data.

Predicting Sequences of Traversed Nodes in Graphs using Network Models with Multiple Higher Orders

no code implementations13 Jul 2020 Christoph Gote, Giona Casiraghi, Frank Schweitzer, Ingo Scholtes

We propose a novel sequence prediction method for sequential data capturing node traversals in graphs.

Learning the Markov order of paths in a network

no code implementations6 Jul 2020 Luka V. Petrović, Ingo Scholtes

We study the problem of learning the Markov order in categorical sequences that represent paths in a network, i. e. sequences of variable lengths where transitions between states are constrained to a known graph.

Model Selection

HOTVis: Higher-Order Time-Aware Visualisation of Dynamic Graphs

no code implementations16 Aug 2019 Vincenzo Perri, Ingo Scholtes

Addressing this gap, we present a novel dynamic graph visualisation algorithm that utilises higher-order graphical models of causal paths in time series data to compute time-aware static graph visualisations.

Time Series Time Series Analysis

Detecting Path Anomalies in Time Series Data on Networks

1 code implementation25 May 2019 Timothy LaRock, Vahan Nanumyan, Ingo Scholtes, Giona Casiraghi, Tina Eliassi-Rad, Frank Schweitzer

Anomaly detection has been extensively studied in categorical sequences, however we often have access to time series data that contain paths through networks.

Social and Information Networks Physics and Society

git2net - Mining Time-Stamped Co-Editing Networks from Large git Repositories

1 code implementation25 Mar 2019 Christoph Gote, Ingo Scholtes, Frank Schweitzer

Data from software repositories have become an important foundation for the empirical study of software engineering processes.

Software Engineering

From Relational Data to Graphs: Inferring Significant Links using Generalized Hypergeometric Ensembles

1 code implementation14 Jun 2017 Giona Casiraghi, Vahan Nanumyan, Ingo Scholtes, Frank Schweitzer

We show how this framework can be used to assess the significance of links in noisy relational data.

Social and Information Networks Physics and Society Methodology 05C82, 91D30, 60C99, 62H10, 62H99

When is a Network a Network? Multi-Order Graphical Model Selection in Pathways and Temporal Networks

1 code implementation17 Feb 2017 Ingo Scholtes

An application to eight real-world data sets on pathways and temporal networks shows that it allows to infer graphical models which capture both topological and temporal characteristics of such data.

Social and Information Networks Disordered Systems and Neural Networks Data Analysis, Statistics and Probability Physics and Society H.2.8; G.3

Generalized Hypergeometric Ensembles: Statistical Hypothesis Testing in Complex Networks

1 code implementation8 Jul 2016 Giona Casiraghi, Vahan Nanumyan, Ingo Scholtes, Frank Schweitzer

Studying empirical and synthetic data, we show that our approach provides broad perspectives for model selection and statistical hypothesis testing in data on complex networks.

Physics and Society Social and Information Networks Combinatorics Data Analysis, Statistics and Probability 05C82 (Primary), 62H15 (Secondary)

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