Reconstructing a Point Set from a Random Subset of Its Pairwise Distances
 Girão, A Illingworth, F Michel, L Powierski, E Scott, A SIAM Journal on Discrete Mathematics volume 38 issue 4 2709-2720 (31 Dec 2024)
On the non-perturbative bulk Hilbert space of JT gravity
 Iliesiu, L Levine, A Lin, H Maxfield, H Mezei, M Journal of High Energy Physics volume 2024 issue 10 (29 Oct 2024)
Fri, 08 Nov 2024
15:00
L5

Topological Analysis of Bone Microstructure, Directed Persistent Homology and the Persistent Laplacian for Data Science

Ruben Sanchez-Garcia
(University of Southampton)

Note: we would recommend to join the meeting using the Teams client for best user experience.

Abstract

In this talk, I will give an overview of recent joint work on Topological Data Analysis (TDA). The first one is an application of TDA to quantify porosity in pathological bone tissue. The second is an extension of persistent homology to directed simplicial complexes. Lastly, we present an evaluation of the persistent Laplacian in machine learning tasks. This is joint work with Ysanne Pritchard, Aikta Sharma, Claire Clarkin, Helen Ogden, and Sumeet Mahajan; David Mendez; and Tom Davies and Zhengchao Wang, respectively.
 

Ikeda-Watanabe's connection, Brownian motion and Navier-Stokes equation on Riemannian manifolds
 Qian, Z Osaka Journal of Mathematics
Stable isoperimetric ratios and the Hodge Laplacian of hyperbolic manifolds
 Rudd, C Journal of Topology volume 16 issue 2 588-633 (05 Jun 2023)
Computing a Link Diagram From Its Exterior
 Dunfield, N Obeidin, M Rudd, C Discrete & Computational Geometry volume 71 issue 1 121-159 (02 Jan 2024)
Adaptive Task Planning and Formal Control Synthesis Using Temporal Logic Trees
 Gao, Y Zhou, C Abate, A Johansson, K Real Time and Such volume 15230 64-78 (23 Oct 2025)
Subscribe to