Research

Published Papers:

• with Anoopum Gupta, Zhuoqing Chang, Christopher Stephen, Jeremy Schmahmann, Hau-Tieng Wu and Guillermo Sapiro, Accurate Detection of Cerebellar Smooth Pursuit Eye Movement Abnormalities via Mobile Phone Video and Machine Learning. Scientific Reports 10, 18641 (2020).

• with Hau-Tieng Wu, When Ramanujan meets time-frequency analysis in complicated time series analysis. Pure and Applied Analysis 4 (4), 629-673.

• with Hau-Tieng Wu, Disentangling modes with crossover instantaneous frequencies by synchrosqueezed chirplet transforms, from theory to application. Applied and Computational Harmonic Analysis, Volume 62, January 2023, Pages 84-122.

• with Yingzhou Li and Xiuyuan Cheng, SpecNet2: Orthogonalization-free spectral embedding by neural networks. The Third Mathematical and Scientific Machine Learning Conference (MSML 2022);

• with Markos Katsoulakis, Luc Rey-Bellet and Wei Zhu, Sample complexity of probability divergences under group symmetry. International Conference on Machine Learning (ICML 2023), 4713-4734;

• with Wei Zhu, On the Implicit Bias of Linear Equivariant Steerable Networks. Thirty-seventh Conference on Neural Information Processing Systems (Neurips 2023).

Preprints:

• with Markos Katsoulakis, Luc Rey-Bellet and Wei Zhu, Statistical Guarantees of Group-Invariant GANs, [arxiv].