T. Lin

Efficiency for Free: Ideal Data Are Transportable Representations

2024 · arXiv (Cornell University)

Data, the seminal opportunity and challenge in modern machine learning, currently constrains the scalability of representation learning and impedes the pace of model evolution. In this work, we investigate the efficiency properties of data from …

Permutation polynomials, projective polynomials, and bijections between $μ_{\frac{q^n-1}{q-1}}$ and $PG(n-1,q)$

2025 · arXiv (Cornell University)

Using arbitrary bases for the finite field $\mathbb{F}_{q^n}$ over $\mathbb{F}_{q}$, we obtain the generalized Möbius transformations (GMTs), which are a class of bijections between the projective geometry $PG(n-1,q)$ and the set of roots of unity …