Iolo Jones
@iolo_jones
PhD student in geometry / geometric data analysis and ML @durham_uni
Really pleased to finally share my preprint: Diffusion Geometry (1/4) Diffusion geometry defines Riemannian geometry for data and probability spaces! arxiv.org/abs/2405.10858
#MachineLearning loves data. #Topology loves shape. Let's bring them together! 👉The Euler Characteristic Transform (ECT) bridges both worlds, as I outline in a recent article in the Notices of the @amermathsoc. Engage! 🧵1/n
🚨 ICML 2025 Paper 🚨 "On Measuring Long-Range Interactions in Graph Neural Networks" We formalize the long-range problem in GNNs: 💡Derive a principled range measure 🔧 Tools to assess models & benchmarks 🔬Critically assess LRGB 🧵 Thread below 👇 #ICML2025
Happy to announce the Tube Neighbourhood Meeting – July 17 in London! A day of great talks on Topological Data Analysis, plus a celebration of my new appointment at @CityStGeorges. Info: sites.google.com/view/tubeneigh… Register (no fees, but limited spots): forms.gle/gvtzwFXZfjgAxT…
This is great opportunity to join a super exciting lab and work on geometry / ML for science!
🚀🚀Thrilled to announce that my lab has secured generous funding of 1.6m EUR from the Vienna Science and Technology Fund (wwtf.at/funding/progra…)! We have #PhDposition, #postdocjobs and #internships in robotics/ML to work towards a foundation model of macaque locomotion!
1/ introducing the lawvere laplacian – a categorical diffusion operator that reimagines what diffusion means. we’re used to diffusion on riemannian manifolds or weighted graphs. but what happens when we work in the world of categories?
Very pleased to share that MuSpAn (Multiscale Spatial Analysis), @MuSpAn_Tweets, our Python package for quantitative spatial biology, has landed! Take a look at the preprint on bioRxiv now
MuSpAn: A Toolbox for Multiscale Spatial Analysis biorxiv.org/cgi/content/sh… #biorxiv_cellbio
How are Kernel Smoothing in statistics, Data-Adaptive Filters in image processing, and Attention in Machine Learning related? My goal is not to argue who should get credit for what, but to show a progression of closely related ideas over time and across neighboring fields. 1/n
There are deep & wonderful connections between diffusion and geometry of manifolds, and it's great to see methods taking advantage of diffusion's computational advantages -- robustness to noise, outliers, sparsity, etc. -- for a bunch of useful geometric inference tasks!
I'm super excited to have a new preprint - Manifold Diffusion Geometry Diffusion geometry *robustly* measures curvature, dimension, and tangent spaces of data! arxiv.org/abs/2411.04100
Today I spoke w/ @iolo_jones about the intuition behind intersecting riemannian geometry with diffusion and profound results it has for geometric data analysis. open.spotify.com/episode/6qx7tq…
I'm super excited to have a new preprint - Manifold Diffusion Geometry Diffusion geometry *robustly* measures curvature, dimension, and tangent spaces of data! arxiv.org/abs/2411.04100
The code's now up on GitHub! See the intro notebook that works through the details and visualises each step of the algorithm github.com/Iolo-Jones/Man…
I'm super excited to have a new preprint - Manifold Diffusion Geometry Diffusion geometry *robustly* measures curvature, dimension, and tangent spaces of data! arxiv.org/abs/2411.04100
This paper by @iolo_jones is amazing...Seriously. There are some very interesting novel approaches using diffusion geometry in manifolds. I wish we had this paper in 2020 when I was at Unsupervised. We were playing around with elements of TDA + manifold learning for the…
I'm super excited to have a new preprint - Manifold Diffusion Geometry Diffusion geometry *robustly* measures curvature, dimension, and tangent spaces of data! arxiv.org/abs/2411.04100
Hi all, happy to share the next London-Oxford TDA Seminar, gathering researchers in TDA from southern UK. You're welcome to join us! 📅 Date: 23 July 📍 Location: Mathematical Institute, Oxford 🔗 Registration: sites.google.com/view/londoxtda… ✉️ Email list: [email protected]