2 papers
math.PR2025
Free Denoising Diffusion Models
Swagatam Das
We develop a free-probabilistic framework for denoising diffusion, in which the data is a self-adjoint operator and its law a spectral distribution. The forward process is the free…
cs.LG2025
A Free Probabilistic Framework for Analyzing the Transformer-based Language Models
Swagatam Das
We present a formal operator-theoretic framework for analyzing Transformer-based language models using free probability theory. By modeling token embeddings and attention mechanism…