After a hiatus, a new series of blogs posts. Do differential geometry and algebraic topology sound too exotic for ML? In recent works, we show that tools from these fields bring a new perspective on graph neural networks

First post in the series:

towardsdatascience.com/graph-neural-n…
Based on recent works with @CristianBodnar @ffabffrasca @kneppkatt @wangyg85 @pl219_Cambridge @guidomontufar @b_p_chamberlain @migorinova @stefan_webb @emaros96 @aittalam James Rowbottom, Jake Topping, Xiaowen Dong, Francesco Di Giovanni
Cool animation of Cora graph evolution by James Rowbottom
Part II will discuss topological message passing.

Part III will deal with geometric flows and non-euclidean diffusion PDEs on graphs.

Part IV will show how the over-squashing phenomena relate to graph curvature, and offer a graph rewiring approach inspired by the Ricci flow.

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More from @mmbronstein

18 Mar
The recording of my #inaugural talk at @imperialcollege is now available online



This geometric view on deep learning is the convergence of many old and recent research threads and joint work with @joanbruna @PetarV_93 and @TacoCohen
Joan's 2014 paper on spectral #graphneuralnetworks was my inspiration to get into this field and write our paper with him, @ylecun @trekkinglemon and Arthur Szlam that popularized the term #geometricdeeplearning
Some of the works I mention are due to my amazing students and colleagues @jonathanmasci Davide Boscaini @EmanueleRodola @befcorreia Pablo Gainza @FreyrSverrisson @emaros96 @ffabffrasca @gbouritsas @frederickmonti @b_p_chamberlain @aittalam Kirill Veselkov Guadalupe Gonzalez
Read 10 tweets
4 Jan
In summer 2020, I started writing a blog on #GraphML in @TDataScience

towardsdatascience.com/graph-deep-lea…

It was a new and rewarding experience, from which I learned a lot. I was surprised that such a technical topic would attract >200K views and >6K claps in less than half a year. Image
I am grateful to all the readers and colleagues whom I used as "guinea pigs" to proof-read my posts especially @frederickmonti @emaros96 @b_p_chamberlain @ffabffrasca @gbouritsas @__lucab @fhuszar and to @kmborgwardt @thomaskipf @guennemann whose comments helped improve them
The first post was based on a seminar I gave for the @IEEEsps on the successes and challenges of #GraphML and #geometricdeeplearning

towardsdatascience.com/deep-learning-…
Read 9 tweets

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