Graph kernels: A survey

G Nikolentzos, G Siglidis, M Vazirgiannis - Journal of Artificial Intelligence …, 2021 - jair.org
Graph kernels have attracted a lot of attention during the last decade, and have evolved into
a rapidly developing branch of learning on structured data. During the past 20 years, the …

Global graph kernels using geometric embeddings

F Johansson, V Jethava, D Dubhashi… - International …, 2014 - proceedings.mlr.press
Applications of machine learning methods increasingly deal with graph structured data
through kernels. Most existing graph kernels compare graphs in terms of features defined on …

Learning with similarity functions on graphs using matchings of geometric embeddings

FD Johansson, D Dubhashi - Proceedings of the 21th ACM SIGKDD …, 2015 - dl.acm.org
We develop and apply the Balcan-Blum-Srebro (BBS) theory of classification via similarity
functions (which are not necessarily kernels) to the problem of graph classification. First we …

Finding dense subgraphs in relational graphs

V Jethava, N Beerenwinkel - … PKDD 2015, Porto, Portugal, September 7 …, 2015 - Springer
This paper considers the problem of finding large dense subgraphs in relational graphs, ie,
a set of graphs which share a common vertex set. We present an approximation algorithm …

Interrelated Dense Pattern Detection in Multilayer Networks

W Feng, L Wang, B Hooi, SK Ng… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Given a heterogeneous multilayer network with various connections in pharmacology, how
can we detect components with intensive interactions and strong dependencies? Can we …

Lovasz convolutional networks

P Yadav, M Nimishakavi, N Yadati… - The 22nd …, 2019 - proceedings.mlr.press
Semi-supervised learning on graph structured data has received significant attention with
the recent introduction of Graph Convolution Networks (GCN). While traditional methods …

On finding dense common subgraphs

M Charikar, Y Naamad, J Wu - arXiv preprint arXiv:1802.06361, 2018 - arxiv.org
We study the recently introduced problem of finding dense common subgraphs: Given a
sequence of graphs that share the same vertex set, the goal is to find a subset of vertices $ S …

Are Graph Neural Networks Optimal Approximation Algorithms?

M Yau, N Karalias, E Lu, J Xu, S Jegelka - arXiv preprint arXiv:2310.00526, 2023 - arxiv.org
In this work we design graph neural network architectures that capture optimal
approximation algorithms for a large class of combinatorial optimization problems, using …

Hierarchical Dense Pattern Detection in Tensors

W Feng, S Liu, X Cheng - ACM Transactions on Knowledge Discovery …, 2023 - dl.acm.org
Dense subtensor detection gains remarkable success in spotting anomalies and fraudulent
behaviors for multi-aspect data (ie, tensors), like in social media and event streams. Existing …

Weighted theta functions and embeddings with applications to max-cut, clustering and summarization

FD Johansson, A Chattoraj… - Advances in …, 2015 - proceedings.neurips.cc
We introduce a unifying generalization of the Lovász theta function, and the associated
geometric embedding, for graphs with weights on both nodes and edges. We show how it …