2 citations · 5 across the 8 of their papers we have counts for
9 papers
Brill-Noether theory for totally ramified covers of the projective line
Daksh Aggarwal
Given a curve that is a degree cover totally ramified at two points and , we can seek to understand the space of degree line bundles on …
Goal Force: Teaching Video Models To Accomplish Physics-Conditioned Goals
Nate Gillman, Yinghua Zhou, Zitian Tang +6
Recent advancements in video generation have enabled the development of ``world models'' capable of simulating potential futures for robotics and planning. However, specifying prec…
Force Prompting: Video Generation Models Can Learn and Generalize Physics-based Control Signals
Nate Gillman, Charles Herrmann, Michael Freeman +4
Recent advances in video generation models have sparked interest in world models capable of simulating realistic environments. While navigation has been well-explored, physically m…
Fourier Head: Helping Large Language Models Learn Complex Probability Distributions
Nate Gillman, Daksh Aggarwal, Michael Freeman +2
As the quality of large language models has improved, there has been increased interest in using them to model non-linguistic tokens. For example, the Decision Transformer recasts…
Self-Correcting Self-Consuming Loops for Generative Model Training
Nate Gillman, Michael Freeman, Daksh Aggarwal +4
As synthetic data becomes higher quality and proliferates on the internet, machine learning models are increasingly trained on a mix of human- and machine-generated data. Despite t…
A Selberg Trace Formula for
Daksh Aggarwal, Asghar Ghorbanpour, Masoud Khalkhali +3
In this paper, we prove a discrete analog of the Selberg Trace Formula for the group By considering a cubic extension of the finite field $\mathbb{F}…
Nöther Currents, Black Hole Entropy Universality and CFT Duality in Conformal Weyl Gravity
Daksh Aggarwal, Dominic Chang, Quentin Dancewicz Helmers +5
In this paper we study black hole entropy universality within the Conformal Weyl gravity paradigm. We do this by first computing the entropy of specific vacuum and non-vacuum solut…
A conjectural asymptotic formula for multiplicative chaos in number theory
Daksh Aggarwal, Unique Subedi, William Verreault +2
We investigate a special sequence of random variables defined by an exponential power series with independent standard complex Gaussians . Introduced by H…
Sums of random multiplicative functions over function fields with few irreducible factors
Daksh Aggarwal, Unique Subedi, William Verreault +2
We establish a normal approximation for the limiting distribution of partial sums of random Rademacher multiplicative functions over function fields, provided the number of irreduc…