Hi, I'm Zedan 👋
I'm a PhD student and instructor in mathematics at University of Miami. I'm interested in data science, topological data analysis, and algorithmic trading. This is where I share my notebooks and other stuffs.
Sets, open sets, and homeomorphisms in discrete topology.
From abstract simplicial complexes to concrete embeddings in Euclidean space.
Constructing Vietoris-Rips complexes directly from distance data.
Computing homology groups and persistence diagrams using two complementary methods.
Extracting topological summaries using filters, covers, clustering, and the Mapper algorithm.
Critical points, level sets, and Reeb graphs through simple Morse functions.
Modeling local data consistency over simplicial complexes with sheaf structures.
A simple example
Get familiar with numpy and matplotlib
Optimization with amplpy, Part 1
A real world example
Optimization with amplpy, Part 2
Use XGBoost to predict football match result