Tensors
Statistical and Computational Tradeoffs
Spectral Methods in High Dimensional Statistics
Nonparametric Independence Testing
Zou, H., Auddy, A., Rahnama Rad, K. and Maleki, A. (2024+) Theoretical Analysis of Leave-one-out Cross Validation for Non-differentiable Penalties under High-dimensional Settings Submitted.
Auddy, A., Zou, H., Rahnama Rad, K. and Maleki, A. (2023+) Approximate Leave-one-out Cross Validation for Regression with $\ell_1$ Regularizers Submitted. Shorter version accepted as oral presentation in AISTATS 2024.
Arya S., Auddy, A. et al. (2023+) The Gromov-Wasserstein distance between spheres Submitted.
Auddy, A. and Yuan, M. (2023+) Large Dimensional Independent Component Analysis: Statistical Optimality and Computational Tractability Annals of Statistics, major revision.
Auddy, A. and Yuan, M. (2021) On Estimating Rank-One Spiked Tensors in the Presence of Heavy Tailed Errors IEEE Trans. Info. Theory, 2022.
Auddy, A. , Deb, N. and Nandy, S. (2021) Exact Detection Thresholds for Chatterjee’s Correlation Bernoulli, 2024.
Bhattacharyya, R. et al.(2021) Role of Multi-resolution Vulnerability Indices in COVID-19 spread: A Case Study in India . BMJ Open, 2022.
Auddy, A. and Yuan, M. (2020) Perturbation Bounds for (Nearly) Orthogonally Decomposable Tensors with Statistical Applications. Information and Inference: A Journal of the IMA, 2022.
Khudabukhsh, W., Auddy, A., Disser, Y. and Koeppl, H. (2018) Approximate lumpability for Markovian agent-based models using local symmetries. Journal of Applied Probability, 2019.