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Karsten Borgwardt

22 accepted papers

2026

Gelato: Graph Edit Distance via Autoregressive Neural Combinatorial Optimization

ICLR 2026poster

The graph edit distance (GED) is a widely used graph dissimilarity measure that quantifies the minimum cost of the edit operations required to transform one graph into another. Computing it, however, involves solving the associated NP-hard graph matching problem. Indeed, exact solvers already strugg…

Cited by 0SourcecodeScholar
2026

PolyGraph Discrepancy: a classifier-based metric for graph generation

ICLR 2026poster

Existing methods for evaluating graph generative models primarily rely on Maximum Mean Discrepancy (MMD) metrics based on graph descriptors. While these metrics can rank generative models, they do not provide an absolute measure of performance. Their values are also highly sensitive to extrinsic par…

Cited by 0SourcecodeScholar
2026

Protein Fold Classification at Scale: Benchmarking and Pretraining

ICML 2026oral

Classifying protein topology is essential for deciphering biological function, but progress is held back by the lack of large-scale benchmarks that avoid duplicates and by models that do not scale well. We introduce TEDBench, a large-scale, non-redundant benchmark for protein fold classification con…

Cited by 0SourceScholar
2026

Refine Drugs, Don’t Complete Them: Uniform-Source Discrete Flows for Fragment-Based Drug Discovery

ICLR 2026poster

We introduce InVirtuoGen, a discrete flow generative model for fragmented SMILES for de novo and fragment-constrained generation, and target-property/lead optimization of small molecules. The model learns to transform a uniform source over all possible tokens into the data distribution. Unlike maske…

Cited by 0SourcecodeScholar
2025

Flatten Graphs as Sequences: Transformers are Scalable Graph Generators

NeurIPS 2025poster

We introduce AutoGraph, a scalable autoregressive model for attributed graph generation using decoder-only transformers. By flattening graphs into random sequences of tokens through a reversible process, AutoGraph enables modeling graphs as sequences without relying on additional node features that…

Cited by 0SourcecodeScholar
2025

Graph Neural Networks Can (Often) Count Substructures

ICLR 2025spotlight

Message passing graph neural networks (GNNs) are known to have limited expressive power in their ability to distinguish some non-isomorphic graphs. Because of this, it is well known that they are unable to detect or count arbitrary graph substructures (i.e., solving the subgraph isomorphism problem)…

Cited by 0SourcePDFScholar
2025

Learning Long Range Dependencies on Graphs via Random Walks

ICLR 2025poster

Message-passing graph neural networks (GNNs) excel at capturing local relationships but struggle with long-range dependencies in graphs. In contrast, graph transformers (GTs) enable global information exchange but often oversimplify the graph structure by representing graphs as sets of fixed-length…

2024

On the Expressivity and Sample Complexity of Node-Individualized Graph Neural Networks

NeurIPS 2024poster

Graph neural networks (GNNs) employing message passing for graph classification are inherently limited by the expressive power of the Weisfeiler-Leman (WL) test for graph isomorphism. Node individualization schemes, which assign unique identifiers to nodes (e.g., by adding random noise to features),…

Cited by 1SourcePDFScholar
2023

Fisher Information Embedding for Node and Graph Learning

ICML 2023poster

Attention-based graph neural networks (GNNs), such as graph attention networks (GATs), have become popular neural architectures for processing graph-structured data and learning node embeddings. Despite their empirical success, these models rely on labeled data and the theoretical properties of thes…

2023

ProteinShake: Building datasets and benchmarks for deep learning on protein structures

NeurIPS 2023poster

We present ProteinShake, a Python software package that simplifies dataset creation and model evaluation for deep learning on protein structures. Users can create custom datasets or load an extensive set of pre-processed datasets from biological data repositories such as the Protein Data Bank (PDB)…

Cited by 12SourcePDFScholar
2023

Unsupervised Manifold Alignment with Joint Multidimensional Scaling

ICLR 2023poster

We introduce Joint Multidimensional Scaling, a novel approach for unsupervised manifold alignment, which maps datasets from two different domains, without any known correspondences between data instances across the datasets, to a common low-dimensional Euclidean space. Our approach integrates Multid…

2022

Evaluation Metrics for Graph Generative Models: Problems, Pitfalls, and Practical Solutions

ICLR 2022spotlight

Graph generative models are a highly active branch of machine learning. Given the steady development of new models of ever-increasing complexity, it is necessary to provide a principled way to evaluate and compare them. In this paper, we enumerate the desirable criteria for such a comparison metric…

2022

Structure-Aware Transformer for Graph Representation Learning

ICML 2022spotlight

The Transformer architecture has gained growing attention in graph representation learning recently, as it naturally overcomes several limitations of graph neural networks (GNNs) by avoiding their strict structural inductive biases and instead only encoding the graph structure via positional encodin…

2022

Topological Graph Neural Networks

ICLR 2022poster

Graph neural networks (GNNs) are a powerful architecture for tackling graph learning tasks, yet have been shown to be oblivious to eminent substructures such as cycles. We present TOGL, a novel layer that incorporates global topological information of a graph using persistent homology. TOGL can be e…

2020

Uncovering the Topology of Time-Varying fMRI Data using Cubical Persistence

NeurIPS 2020spotlight

Functional magnetic resonance imaging (fMRI) is a crucial technology for gaining insights into cognitive processes in humans. Data amassed from fMRI measurements result in volumetric data sets that vary over time. However, analysing such data presents a challenge due to the large degree of noise and…

2019

A Persistent Weisfeiler-Lehman Procedure for Graph Classification

ICML 2019oral

The Weisfeiler–Lehman graph kernel exhibits competitive performance in many graph classification tasks. However, its subtree features are not able to capture connected components and cycles, topological features known for characterising graphs. To extract such features, we leverage propagated node l…

2019

Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology

ICLR 2019poster

While many approaches to make neural networks more fathomable have been proposed, they are restricted to interrogating the network with input data. Measures for characterizing and monitoring structural properties, however, have not been developed. In this work, we propose neural persistence, a compl…

2019

Wasserstein Weisfeiler-Lehman Graph Kernels

NeurIPS 2019spotlight

Most graph kernels are an instance of the class of R-Convolution kernels, which measure the similarity of objects by comparing their substructures. Despite their empirical success, most graph kernels use a naive aggregation of the final set of substructures, usually a sum or average, thereby potenti…

2016

Finding significant combinations of features in the presence of categorical covariates

NeurIPS 2016poster

In high-dimensional settings, where the number of features p is typically much larger than the number of samples n, methods which can systematically examine arbitrary combinations of features, a huge 2^p-dimensional space, have recently begun to be explored. However, none of the current methods is a…