PUBLICATIONS and PREPRINTS
Journal Publications
1. Limit Theorems and Phase Transitions in the Tensor Curie-Weiss Potts Model
Sanchayan Bhowal and Somabha Mukherjee
Information and Inference: A Journal of the IMA (Accepted) [arXiv]
2. Interaction Order Estimation in Tensor Curie-Weiss Models
Somabha Mukherjee
Entropy (Special Issue: Ising Model—100 Years Old and Still Attractive), [Journal] [arXiv]
3. Rates of Convergence of the Magnetization in the Tensor Curie-Weiss Potts Model
Sanchayan Bhowal and Somabha Mukherjee
Journal of Statistical Physics, [Journal] [arXiv]
4. Fluctuations of Quadratic Chaos
Bhaswar Bhattacharya, Sayan Das, Somabha Mukherjee and Sumit Mukherjee Communications in Mathematical Physics, [Journal] [arXiv]
5. High Dimensional Logistic Regression Under Network Dependence Somabha Mukherjee, Ziang Niu, Sagnik Halder, Bhaswar Bhattacharya and George Michailidis Journal of Machine Learning Research, [Journal] [arXiv]
6. Phase Transitions of the Maximum Likelihood Estimators in the p-Spin Curie-Weiss Model
Somabha Mukherjee, Jaesung Son, Bhaswar Bhattacharya
7. Efficient estimation in tensor Curie-Weiss and Erdős-Rényi Ising models Somabha Mukherjee, Swarnadip Ghosh, Jaesung Son and Sourav Mukherjee Electronic Journal of Statistics, [Journal] [arXiv]
8. Tensor Recovery in High-Dimensional Ising Models
Tianyu Liu, Somabha Mukherjee and Rahul Biswas
Journal of Multivariate Analysis, [Journal] [arXiv]
9. Least Squares Estimation of a Quasiconvex Regression Function
Somabha Mukherjee, Rohit Patra, Andrew Johnson and Hiroshi Morita
Journal of the Royal Statistical Society Series B, [Journal] [arXiv]
10. Consistent Causal Inference from Time Series with PC Algorithm and its Time-Aware Extension Rahul Biswas and Somabha Mukherjee
Statistics and Computing, [Journal] [arXiv]
11. 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, [Journal] [bioRxiv]
12. Estimation in Tensor Ising Models
Somabha Mukherjee, Jaesung Son, Bhaswar Bhattacharya
Information and Inference: A Journal of the IMA, [Journal] [arXiv]
13. Fluctuations of the Magnetization in the p-Spin Curie–Weiss Model
Somabha Mukherjee, Jaesung Son, Bhaswar Bhattacharya
Communications in Mathematical Physics, [Journal]
14. Asymptotic Bounds on Graphical Partitions and Partition Comparability
Stephen Melczer, Marcus Michelen, Somabha Mukherjee
International Mathematics Research Notices, [Journal] [arXiv]
15. Asymptotic Distribution of Bernoulli Quadratic Forms
Bhaswar Bhattacharya, Somabha Mukherjee, Sumit Mukherjee
Annals of Applied Probability, [Journal] [arXiv]
16. 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]
17. High-dimensional CLT: Improvements, Non-uniform Extensions and Large Deviations
Arun Kumar Kuchibhotla, Somabha Mukherjee, Debapratim Banerjee
18. Replica Symmetry in Upper Tails of Mean-Field Hypergraphs
Somabha Mukherjee, Bhaswar Bhattacharya
Advances in Applied Mathematics, [Journal] [arXiv]
19. The Second Moment Phenomenon for Monochromatic Subgraphs
Bhaswar Bhattacharya, Somabha Mukherjee, Sumit Mukherjee
SIAM Journal on Discrete Mathematics, [Journal] [arXiv]
20. Statistical Inference Based on Bridge Divergences
Arun Kumar Kuchibhotla, Somabha Mukherjee, Ayanendranath Basu
Annals of the Institute of Statistical Mathematics, [Journal] [arXiv]
21. A Proof of the Hershel-Maxwell Theorem Using the Strong Law of Large Numbers
Somabha Mukherjee
Pi Mu Epsilon Journal, [Journal] [arXiv]
Preprints
1. Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model
Ramkrishna Jyoti Samanta, Somabha Mukherjee and Jiang Zhang
[arXiv]
2. Moderate Deviation and Berry-Esseen Bounds in the p-Spin Curie-Weiss Model
Somabha Mukherjee, Tianyu Liu and Bhaswar Bhattacharya
[arXiv]
3. Optimal Confidence Bands for Shape-restricted Regression in Multidimensions
Ashley (Pratyay) Datta, Somabha Mukherjee and Bodhisattva Sen
[arXiv]
4. Inferring Causality from Time Series data based on Structural Causal Model and its application to Neural
Connectomics
Rahul Biswas, SuryaNarayana Sripada and Somabha Mukherjee
[arXiv]
5. Interaction Screening and Pseudolikelihood Approaches for Tensor Learning in Ising Models
Tianyu Liu and Somabha Mukherjee
[arXiv]
6. Feature Selection in High-dimensional Space Using Graph-Based Methods Swarnadip Ghosh, Somabha Mukherjee and Divyansh Agarwal [arXiv]
Review Papers
1. Book Review: Theory of Statistical Inference
Somabha Mukherjee
Journal of the American Statistical Association (JASA), [Journal]