4 papers
A topology-based algorithm for the isomorphism check of 2-level Orthogonal Arrays
Roberto Fontana, Marco Guerra
We introduce a construction and an algorithm, both based on Topological Data Analysis (TDA), to tackle the problem of the isomorphism check of Orthogonal Arrays (OAs). Specifically…
Scale-Free Image Keypoints Using Differentiable Persistent Homology
Giovanni Barbarani, Francesco Vaccarino, Gabriele Trivigno +3
In computer vision, keypoint detection is a fundamental task, with applications spanning from robotics to image retrieval; however, existing learning-based methods suffer from scal…
Parallel computation of interval bases for persistence module decomposition
Alessandro De Gregorio, Marco Guerra, Sara Scaramuccia +1
A persistence module , with coefficients in a field , is a finite-dimensional linear representation of an equioriented quiver of type or, equivalently, a grade…
Homological Scaffold via Minimal Homology Bases
Marco Guerra, Alessandro De Gregorio, Ulderico Fugacci +2
The homological scaffold leverages persistent homology to construct a topologically sound summary of a weighted network. However, its crucial dependency on the choice of representa…