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Anthony David Gruber
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fixed pubs
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_pages/about.md

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![image-left](/images/me_over_gorge.JPG){: width="360" } ![image-left](/images/me_in_Florence.pdf){: width="182" } ![image-left](/images/me_w_sunglasses.JPG){: width="203" }
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I am a mathematician interested in basic and applied research questions that arise in the contexts of data science, nonlinear partial differential equations (PDEs), and scientific machine learning.
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I am a mathematician interested in basic and applied research questions that arise in the contexts of geometric mechanics, data science, nonlinear PDEs, and scientific machine learning.
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Lately, my focus is primarily on developing structure-informed numerical methods for scientific applications. Doing this generally involves identifying or reasoning about some abstract mathematical structure which is important for a particular physical phenomenon, formulating a smart discretization (based on, e.g., a finite element or artificial neural network backbone) which takes this structure into account, and writing mathematical software in Python or C++ which implements a proposed approach. Over time, I've found that my preferred flavor of research problem leaves ample opportunity for geometric ideas, satisfying visuals, and punchy algebraic arguments which are characteristic of my personal style.

_pages/publications.md

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1. [Preprint](https://arxiv.org/abs/2405.16305#){: .btn .btn--info .btn--small}{: .align-right}
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<sub> <ins>Anthony Gruber</ins>, Kookjin Lee, Haksoo Lim, Noseong Park, Nathaniel Trask.
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*Efficiently Parameterized Neural Metriplectic Systems*
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**Proceedings of the 13th ICML** (2025). </sub>
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**13th ICLR Proceedings** (2025). </sub>
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1. [Preprint](https://arxiv.org/abs/2305.15616#){: .btn .btn--info .btn--small}{: .align-right}
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<sub> Eugenio Aulisa, <ins>Anthony Gruber</ins>, Magdalena Toda.
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[Generalized Willmore Energies and Applications.](https://doi.org/10.7546/giq-29-2024-1-10)
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**Geometry, Integrability and Quantization**, vol. 29 (2024). </sub>
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**Geom. Integr. Quantization**, vol. 29 (2024). </sub>
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1. [Preprint](https://arxiv.org/abs/2305.15616#){: .btn .btn--info .btn--small}{: .align-right}
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<sub> Mingu Kang, Dongseok Lee, Woojin Cho, Jaehyeon Park, Kookjin Lee, <ins>Anthony Gruber</ins>, Youngjoon Hong, Noseong Park.
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[Can we pre-train ICL-based SFMs for the zero-shot inference of the 1D CDR problem with noisy
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data?](https://openreview.net/pdf/6e57f7c19bea601f663acfc7206f2d654e6e5a01.pdf)
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**NeurIPS Workshop on Foundation Models for Science: Progress, Opportunities,
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and Challenges** (2024). </sub>
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**NeurIPS FM4Science Workshop** (2024). </sub>
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1. [Preprint](https://arxiv.org/abs/2305.15616#){: .btn .btn--info .btn--small}{: .align-right}
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<sub> <ins>Anthony Gruber</ins>, Kookjin Lee, Nathaniel Trask.
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[Reversible and Irreversible Bracket-Based Dynamics for Deep Graph Neural Networks.](https://openreview.net/forum?id=4SoTUaTK8N)
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**Proceedings of the 17th NeurIPS** (2023). </sub>
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**17th NeurIPS Proceedings** (2023). </sub>
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1. [Preprint](/files/preprints/QRDSE.pdf){: .btn .btn--info .btn--small}{: .align-right}
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<sub> <ins>Anthony Gruber</ins>, Eugenio Aulisa.
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1. [Preprint](/files/preprints/PWillmoreGIQ.pdf){: .btn .btn--info .btn--small}{: .align-right}
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<sub> Eugenio Aulisa, <ins>Anthony Gruber</ins>, Magdalena Toda, Hung Tran.
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[New Developments on the p-Willmore Energy of Surfaces.](https://doi.org/10.7546/giq-21-2020-57-65)
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**Geometry, Integrability, and Quantization**, vol. 21 (2019). </sub>
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**Geom. Integr. Quantization**, vol. 21 (2019). </sub>
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1. [Here](http://proceedings.mlr.press/v97/bridges19a/bridges19a.pdf){: .btn .btn--info .btn--small}{: .align-right}
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<sub> Robert A. Bridges, <ins>Anthony D. Gruber</ins>, Christopher Felder, Miki Verma, Chelsey Hoff.
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[Active Manifolds: A non-linear analogue to Active Subspaces.](http://proceedings.mlr.press/v97/bridges19a.html)
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**Proceedings of the 36th ICML**, PMLR 97:764-772 (2019). </sub>
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**36th ICML Proceedings**, PMLR 97:764-772 (2019). </sub>
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## Others
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1. [Here](https://www.osti.gov/servlets/purl/2462988){: .btn .btn--info .btn--small}{: .align-right}

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