Can strong structural encoding reduce the importance of Message Passing?

no code implementations • 22 Oct 2023 • Floor Eijkelboom, Erik Bekkers, Michael Bronstein, Francesco Di Giovanni

This suggests that the importance of message passing is limited when the model can construct strong structural encodings.

Artificial Intelligence for Science in Quantum, Atomistic, and Continuum Systems

1 code implementation • 17 Jul 2023 • Xuan Zhang, Limei Wang, Jacob Helwig, Youzhi Luo, Cong Fu, Yaochen Xie, Meng Liu, Yuchao Lin, Zhao Xu, Keqiang Yan, Keir Adams, Maurice Weiler, Xiner Li, Tianfan Fu, Yucheng Wang, Haiyang Yu, Yuqing Xie, Xiang Fu, Alex Strasser, Shenglong Xu, Yi Liu, Yuanqi Du, Alexandra Saxton, Hongyi Ling, Hannah Lawrence, Hannes Stärk, Shurui Gui, Carl Edwards, Nicholas Gao, Adriana Ladera, Tailin Wu, Elyssa F. Hofgard, Aria Mansouri Tehrani, Rui Wang, Ameya Daigavane, Montgomery Bohde, Jerry Kurtin, Qian Huang, Tuong Phung, Minkai Xu, Chaitanya K. Joshi, Simon V. Mathis, Kamyar Azizzadenesheli, Ada Fang, Alán Aspuru-Guzik, Erik Bekkers, Michael Bronstein, Marinka Zitnik, Anima Anandkumar, Stefano Ermon, Pietro Liò, Rose Yu, Stephan Günnemann, Jure Leskovec, Heng Ji, Jimeng Sun, Regina Barzilay, Tommi Jaakkola, Connor W. Coley, Xiaoning Qian, Xiaofeng Qian, Tess Smidt, Shuiwang Ji

Advances in artificial intelligence (AI) are fueling a new paradigm of discoveries in natural sciences.

Out-of-Distribution Generalization Transfer Learning +1

E(n) Equivariant Message Passing Simplicial Networks

no code implementations • 11 May 2023 • Floor Eijkelboom, Rob Hesselink, Erik Bekkers

This paper presents $\mathrm{E}(n)$ Equivariant Message Passing Simplicial Networks (EMPSNs), a novel approach to learning on geometric graphs and point clouds that is equivariant to rotations, translations, and reflections.

Interpretable ECG classification via a query-based latent space traversal (qLST)

no code implementations • 14 Nov 2021 • Melle B. Vessies, Sharvaree P. Vadgama, Rutger R. van de Leur, Pieter A. Doevendans, Rutger J. Hassink, Erik Bekkers, René van Es

Electrocardiography (ECG) is an effective and non-invasive diagnostic tool that measures the electrical activity of the heart.

ECG Classification

PDE-based Group Equivariant Convolutional Neural Networks

1 code implementation • 24 Jan 2020 • Bart Smets, Jim Portegies, Erik Bekkers, Remco Duits

We solve the PDE of interest by a combination of linear group convolutions and non-linear morphological group convolutions with analytic kernel approximations that we underpin with formal theorems.

Data Augmentation Translation

Vesselness via Multiple Scale Orientation Scores

no code implementations • 20 Feb 2014 • Julius Hannink, Remco Duits, Erik Bekkers

The multi-scale Frangi vesselness filter is an established tool in (retinal) vascular imaging.

A Multi-Orientation Analysis Approach to Retinal Vessel Tracking

no code implementations • 14 Dec 2012 • Erik Bekkers, Remco Duits, Tos Berendschot, Bart ter Haar Romeny

This paper presents a method for retinal vasculature extraction based on biologically inspired multi-orientation analysis.