Publications

SINDy-RL: Interpretable and Efficient Model-Based Reinforcement Learning

Published in arXiv, 2024

We develop unifying methods for incorporating sparse dictionary learning into RL algorithms to accelerate the training process and provide more interpretable representations of the environment dynamics, reward, and policy.

Recommended citation: Zolman, Nicholas, et al. "SINDy-RL: Interpretable and Efficient Model-Based Reinforcement Learning." arXiv preprint arXiv:2403.09110 (2024). https://arxiv.org/abs/2403.09110

A unified framework to enforce, discover, and promote symmetry in machine learning

Published in arXiv, 2023

We provide the mathematical theory of how to enforce, discover, and promote symmetry in machine learning and optimization problems.

Recommended citation: Otto, Samuel E., et al. "A unified framework to enforce, discover, and promote symmetry in machine learning." arXiv preprint arXiv:2311.00212 (2023). https://arxiv.org/abs/2311.00212

Learning to Predict 3D Rotational Dynamics from Images of a Rigid Body with Unknown Mass Distribution

Published in Aerospace, 2023

Using Hamiltonian and mathematical priors, we infer the dynamics of a rotating rigid body from images with no access to ground-truth information.

Recommended citation: Mason, J. J., Allen-Blanchette, C., Zolman, N., Davison, E., & Leonard, N. E. (2023). Learning to predict 3D rotational dynamics from images of a rigid body with unknown mass distribution. Aerospace, 10(11), 921. https://www.mdpi.com/2226-4310/10/11/921

Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples

Published in p-Adic Numbers, Ultrametric Analysis and Applications, 2019

We investigate the spectral geometry and spectral action functionals associated to 1D Supersymmetry Algebras.

Recommended citation: Marcolli, M., Zolman, N. Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples. P-Adic Num Ultrametr Anal Appl 11, 223–247 (2019). https://doi.org/10.1134/S2070046619030051 https://link.springer.com/article/10.1134/S2070046619030051

The Origin and Evolution of the Galaxy Mass–Metallicity Relation

Published in Monthly Notices of the Royal Astronomical Society, 2016

We use high-resolution cosmological zoom-in simulations from the Feedback in Realistic Environment (FIRE) project to study the galaxy mass–metallicity relations (MZR) from z = 0–6.

Recommended citation: Xiangcheng Ma, Philip F. Hopkins, Claude-André Faucher-Giguère, Nick Zolman, Alexander L. Muratov, Dušan Kereš, Eliot Quataert, The origin and evolution of the galaxy mass–metallicity relation, Monthly Notices of the Royal Astronomical Society, Volume 456, Issue 2, 21 February 2016, Pages 2140–2156, https://doi.org/10.1093/mnras/stv2659 https://academic.oup.com/mnras/article/456/2/2140/1061514?login=true

The Mattig Expression for a d-dimensional Gauss Bonnet FRWL Cosmology

Published in arXiv, 2016

We study the form of the Mattig equation applied in a cosmological setting for spacetime metric gravity models described by the Gauss-Bonnet action.

Recommended citation: Andrew, Keith; Steinfelds, Eric; Zolman, Nick. (2016). "The Mattig Expression for a d-dimensional Gauss Bonnet FRWL Cosmology." arXiv preprint. https://arxiv.org/abs/1601.07037