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vincent-grande committed Jun 5, 2024
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13 changes: 13 additions & 0 deletions _bibliography/papers.bib
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@string{aps = {American Physical Society,}}
@misc{grande2024topf,
title = {Node-Level Topological Representation Learning on Point Clouds},
author = {Vincent P. Grande and Michael T. Schaub},
year = {2024},
arxiv = {2406.02300},
archiveprefix = {arXiv},
primaryclass = {math.AT},
note = {Arxiv preprint.},
selected = {true},
preview = {TOPFpreview.png},
code = {https://github.com/vincent-grande/topf}
}

@article{grande2023topological,
title = {Topological Point Cloud Clustering},
author = {Vincent P. Grande and Michael T. Schaub},
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8 changes: 8 additions & 0 deletions _news/announcementTOPF.md
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---
layout: post
date: 2024-06-05 08:00:00+0100
inline: true
---

A preprint to my new joint with [Michael Schaub](https://michaelschaub.github.io) paper ["Node-Level Topological Representation Learning on Point Clouds"](https://arxiv.org/abs/2406.02300) is now available on arxiv!
We construct point-level features vectors quantifying the contribution of the points to the global shape and properties of the point cloud.
7 changes: 7 additions & 0 deletions _news/announcementTOPFcode.md
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---
layout: post
date: 2024-06-06 08:00:00+0100
inline: true
---

I have released my first python package `topf`, which computes topological point features in point clouds based on our [recent article](https://arxiv.org/abs/2406.02300). The code and many examples are available [here](https://github.com/vincent-grande/topf) :blush:. Alternatively, install Julia and Python and simply run `pip install topf`. :potted_plant::tada:
11 changes: 11 additions & 0 deletions _pages/code.md
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---

### Node-Level Topological Representation on Point Clouds :potted_plant:

We provide a python package to compute node-level topological point features (TOPF) on point clouds.
TOPF aims to capture the relationship between the point and the global topology of the point cloud.
After installing `Julia`, you can install `topf` on Linux and macOS using

pip install topf

[Code](https://github.com/vincent-grande/topf)
[Paper](https://arxiv.org/abs/2406.02300)

### Disentangling the Spectral Properties of the Hodge Laplacian: Not All Small Eigenvalues Are Equal

We provide many cool tools to leverage and analyse the spectral properties of a family of Hodge Laplacians defined on a filtration of simplicial complexes on a point cloud. The paper was accepted for publication at the 2024 IEEE Conference on Acoustics, Speech, And Signal Processing (ICASSP).
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