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cs.DS2026
A Walk From Free Probability to Matrix Discrepancy III: Higher Rank Kadison-Singer and Spectrally Thin Trees
Tarun Kathuria
Let be positive semidefinite matrices of rank at most , with and $\norm{A_i}\le\varepsilon$. We prove that one sign can be assigned to each origi…
cs.LG2026
Leveraging Pretrained Language Models as Energy Functions for Glauber Dynamics Text Diffusion
Tarun Kathuria, Sachin Kumar
We present a discrete diffusion-based language model using Glauber dynamics from statistical physics. Our main insight is that instead of trying to train a discrete state space dif…