Exploring the geometry of deep learning.

Developing principled methods for representation, uncertainty, and discovery in high-dimensional data.

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Education

University of Pennsylvania
2024
M.S.E. in Data Science

Transferred to pursue research focus in applied mathematics.

Georgia Institute of Technology
2024 - 2026
M.S. in Computer Science

Specialization in Artificial Intelligence.

Western University (UWO)
2025 - 2026
M.Sc. in Applied Mathematics

Research: Topological Data Analysis & ML.

University of California, Santa Barbara
2021 - 2023
B.S. Applied Math & B.A. Stats and Data Science

Graduated in 2 years. Completed coursework across 5 UC campuses.

Publications

Bayesian Rips Active Learning: Topology-Aware Acquisition for Rare Lineages

Weixiao Wang, Anibal M. Medina-Mardones

ICLR 2026 Workshop on Machine Learning for Genomics (MLGenX), Tiny Paper Track

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Teaching

Experience
Sep 2025 – Present
London, Ontario

Teaching Assistant

Department of Mathematics, Western University

Courses Taught

  • Math 1228 Methods of Finite Mathematics
  • Math 2155F Mathematical Structures
  • AM 2814G Numerical Analysis
  • AM 4615 Computer Algebra

Leading tutorials/labs and office hours to reinforce core topics in logic, proofs, combinatorics, and applied problem solving. Responsible for grading assignments and exams with consistent feedback.

Research

Bayesian Rips Active Learning (BRAL)

Topology-aware active learning for rare lineage discovery.

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Neural Manifolds

On the geometry and topology of learned representations.

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Projects

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BRAL Code

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An experimental framework for topology-aware active learning.

GitHub
Active Learning Gaussian Processes TDA Persistent Homology

Manifold Viz

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A real-time dashboard for tracking geometry and topology dçuring training

GitHub Demo
React React Three Fiber Vite WebGL FastAPI PyTorch Ripser (TDA)