Paxton Turner
I am an AI Scientist at Arbol. My research is broadly in statistics and machine learning, as well as data modeling problems related to weather and climate.
My academic work spans topics including data compression, the statistical analysis of networks and text corpora, and data-balancing problems related to causal inference. For more details, see this research statement.
I obtained my Ph.D. from the Department of Mathematics at MIT in 2021, advised by Philippe Rigollet. After that, I was a postdoctoral fellow for two years in the Department of Statistics at Harvard University supervised by Zheng Tracy Ke.
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Publications and preprints
- Testing High-dimensional Multinomials with Applications to Text Analysis. With T. Tony Cai and Zheng Tracy Ke. In submission. 2023+.
- Near-Optimal Fitting of Ellipsoids to Random Points. With Aaron Potechin, Prayaag Venkat, and Alexander S. Wein. Conference on Learning Theory (COLT). 2023.
- Phase Transition for Detecting a Small Community in a Large Network. With Jiashun Jin, Zheng Tracy Ke, and Anru R. Zhang. International Conference on Learning Representations (ICLR). 2023. [Poster] [Slides]
- Gaussian Discrepancy: a Probabilistic Relaxation of Vector Balancing. With Sinho Chewi, Patrik Gerber, and Philippe Rigollet. Discrete Applied Mathematics. 2022.
- A Statistical Perspective on Coreset Density Estimation. With Jingbo Liu and Philippe Rigollet. Proceedings of The 24th International Conference on Artificial Intelligence and Statistics (AISTATS). 2021. [Poster] [Slides]
- Efficient Interpolation of Density Estimators. With Jingbo Liu and Philippe Rigollet. Proceedings of The 24th International Conference on Artificial Intelligence and Statistics (AISTATS). 2021. [Poster] [Slides]
- Balancing Gaussian Random Vectors in High Dimension. With Raghu Meka and Philippe Rigollet. Proceedings of 33rd Conference on Learning Theory (COLT). 2020. [Talk]
- Efficient Reconstruction of Stochastic Pedigrees. With Younhun Kim, Elchanan Mossel, and Govind Ramnarayan. Manuscript. 2020.
- Discrete Equidecomposablility and Ehrhart Theory of Polygons. With Yuhuai Wu. Discrete and Computational Geometry. 2020.
- Conditions for Discrete Equidecomposability of Polygons. With Yuhuai Wu. Manuscript. 2014.
- Aztec Castles and the dP3 Quiver. With Megan Leoni, Gregg Musiker, and Seth Neel. Journal of Physics A: Mathematical and Theoretical. 2014.