PUBLICATIONS and PREPRINTS
Journal Publications
1. Systematic Single Cell Pathway Analysis (SCPA) reveals novel pathways engaged during early T cell activation Jack A. Bibby, Divyansh Agarwal, Tilo Freiwald, Natalia Kunz, Nicolas S. Merle, Erin E. West, Andre Larochelle, Fariba Chinian, Somabha Mukherjee, Behdad Afzali, Claudia Kemper,
Nancy R. Zhang
Cell Reports, Accepted [bioRxiv]
2. Estimation in Tensor Ising Models
Somabha Mukherjee, Jaesung Son, Bhaswar Bhattacharya
Information and Inference: A Journal of the IMA, Accepted [arXiv]
3. Fluctuations of the Magnetization in the p-Spin Curie–Weiss Model
Somabha Mukherjee, Jaesung Son, Bhaswar Bhattacharya
Communications in Mathematical Physics [Journal]
4. Asymptotic bounds on graphical partitions and partition comparability
Stephen Melczer, Marcus Michelen, Somabha Mukherjee
International Mathematics Research Notices [Journal] [arXiv]
5. Asymptotic Distribution of Bernoulli Quadratic Forms
Bhaswar Bhattacharya, Somabha Mukherjee, Sumit Mukherjee
Annals of Applied Probability [Journal] [arXiv]
6. Distribution-free Multisample Test Based on Optimal Matching with Applications to Single Cell Genomics
Somabha Mukherjee, Divyansh Agarwal, Nancy Zhang, Bhaswar Bhattacharya
Journal of the American Statistical Association (JASA) [Journal] [arXiv]
7. High-dimensional CLT: Improvements, Non-uniform Extensions and Large Deviations
Arun Kumar Kuchibhotla, Somabha Mukherjee, Debapratim Banerjee
8. Replica Symmetry in Upper Tails of Mean-Field Hypergraphs
Somabha Mukherjee, Bhaswar Bhattacharya
Advances in Applied Mathematics, Vol. 119, August 2020, 102047 [Journal] [arXiv]
9. The Second Moment Phenomenon for Monochromatic Subgraphs
Bhaswar Bhattacharya, Somabha Mukherjee, Sumit Mukherjee
Siam J. Discrete Math, 34(1), 794-824 [Journal] [arXiv]
10. Statistical Inference Based on Bridge Divergences
Arun Kumar Kuchibhotla, Somabha Mukherjee, Ayanendranath Basu
Annals of the Institute of Statistical Mathematics, Vol. 71, 627–656 (2019) [Journal] [arXiv]
11. A Proof of the Hershel-Maxwell Theorem Using the Strong Law of Large Numbers
Somabha Mukherjee
Pi Mu Epsilon Journal, 14(6) [arXiv]
Preprints
1. Consistent Causal Inference from Time Series with PC Algorithm and its Time-Aware Extension Rahul Biswas and Somabha Mukherjee
[arXiv]
2. Asymptotic Distribution of Random Quadratic Forms Bhaswar Bhattacharya, Sayan Das, Somabha Mukherjee and Sumit Mukherjee [arXiv]
3. High Dimensional Logistic Regression Under Network Dependence Somabha Mukherjee, Sagnik Halder, Bhaswar Bhattacharya and George Michailidis [arXiv] 4. Efficient Estimation in Tensor Ising Models Somabha Mukherjee, Swarnadip Ghosh, Jaesung Son and Sourav Mukherjee [arXiv]
5. Feature Selection in High-dimensional Space Using Graph-Based Methods Swarnadip Ghosh, Somabha Mukherjee and Divyansh Agarwal [arXiv]
6. Phase Transitions of the Maximum Likelihood Estimates in the p-Spin Curie-Weiss Model
Somabha Mukherjee, Jaesung Son, Bhaswar Bhattacharya
[arXiv]
7. Least Squares Estimation of a monotone quasiconvex regression function
Somabha Mukherjee, Rohit Patra, Andrew Johnson and Hiroshi Morita
Major Revision: Journal of the Royal Statistical Society, JRSS-SB [arXiv]