Emma Lucia Byrnes Finn

When Rule Learning Breaks: Diffusion Fails to Learn Parity of Many Bits

Binxu Wang, Emma Finn, Bingbin Liu

Workshop paper showing failure modes of diffusion models on parity-like structure. Accepted (oral) to NeurIPS Workshop on Structured Probabilistic Inference & Generative Modeling.

Where the Score Lives: A Wavelet View of Diffusion

Emma Finn, Binxu Wang, T.A. Keller, Demba Ba

Workshop paper introducing a wavelet-based lens on score structure in diffusion models, accepted to NeurIPS Workshop on Structured Probabilistic Inference & Generative Modeling.

Origins of Creativity in Attention-Based Diffusion Models

Emma Finn, T. A. Keller, Manos Theodosis, Demba E. Ba.

ICML 2025 Workshop on High-Dimensional Learning Dynamics. Explores how attention-enhanced score matching uncovers the mechanisms behind creativity in diffusion models.

Mathematical Foundations of Interpretable Diffusion

Emma Finn · Math Thesis (2025–26)

Investigating the expressive power of different function classes as score networks in generative diffusion models, with a focus on interpretability and learning dynamics.

Learning Artistic Signatures: Symmetry Discovery and Style Transfer

Emma Finn, T. A. Keller, Manos Theodosis, Demba E. Ba

We propose and validate a mathematically grounded definition of artistic style as global symmetries over local textures.

Rader's Algorithm for the Fast Fourier Transform

Emma Finn

Junior Paper in Mathematics. Expository paper on the abstract algebra behind the FFT.

Score and Structure

Emma Finn

A blog exploring the intersections of algebraic structures and statistical inference, with visual examples and applications.

Quantifying the Past: Empirical Tropes in Greek Historiography

Emma Finn · Classics Thesis (2025–26)

A study of how Herodotus, Thucydides, and Xenophon employ quantification as a rhetorical device within their historical narratives.

Phaedrus and Fictionality

Emma Finn

Junior paper in Classics connecting Plato's Phaedrus to how technology interacts with fictionality and irony.

Ruth Hale's Fight for Her Name

Emma Finn, August 13, 2021

Ruth Hale’s legal and cultural battle to keep her name, a landmark fight for women’s identity.