Jose A. Perea

collaborators

4 papers

math.AT2026

Discrete Approximate Circle Bundles

Brad Turow, Jose A. Perea

In this paper, we introduce discrete approximate circle bundles, a class of objects designed to serve as the data science analog of circle bundles from algebraic topology. We show…

cs.CV2026

An Extended Topological Model For High-Contrast Optical Flow

Brad Turow, Jose A. Perea

In this paper, we identify low-dimensional models for dense core subsets in the space of $3 \times 3$ high-contrast optical flow patches sampled from the Sintel dataset. In particul…

math.AT2026

Estimation of Persistence Diagrams via the Three Gap Theorem

Luis Suarez Salas, Jose A. Perea

The time delay (or Sliding Window) embedding is a technique from dynamical systems to reconstruct attractors from time series data. Recently, descriptors from Topological Data Anal…

cs.CG2025

$O (k)$ -Equivariant Dimensionality Reduction on Stiefel Manifolds

Andrew Lee, Harlin Lee, Jose A. Perea +2

Many real-world datasets live on high-dimensional Stiefel and Grassmannian manifolds, $V_{k} (R^{N})$ and $G r (k, R^{N})$ respectively, and benefit from projection onto l…

Discrete Approximate Circle Bundles

An Extended Topological Model For High-Contrast Optical Flow

Estimation of Persistence Diagrams via the Three Gap Theorem

O(k)-Equivariant Dimensionality Reduction on Stiefel Manifolds

$O (k)$ -Equivariant Dimensionality Reduction on Stiefel Manifolds