Bhaswar B. Bhattacharya

October 1, 2024

Contact Information
Department of Statistics and Data Science
The Wharton School
University of Pennsylvania
Academic Research Building
265 South 37th Street
Philadelphia, PA 19104
E-mail: bhaswar@wharton.upenn.edu

Research Interests
Nonparametric Statistics, Combinatorial Probability, Inference on Networks, Statistical Learning,
Discrete and Computational Geometry.

Employment• Associate Professor, Department of Statistics and Data Science, The Wharton School, University of Pennsylvania, July 2022-present.
• Associate Professor (Secondary Appointment), Department of Mathematics, University ofPennsylvania, July 2022-present.
• Assistant Professor, Department of Statistics and Data Science, The Wharton School, University of Pennsylvania, July 2016-June 2022.
• Research Intern, Microsoft Research, Redmond, June 2014-September 2014.

Education• Doctor of Philosophy (Ph.D.), Department of Statistics, Stanford University, September 2011-June 2016.
Thesis Title: Power of Graph-Based Two-Sample Tests
Advisor: Prof. Persi Diaconis• Master of Statistics (M. Stat.), Indian Statistical Institute, July 2009-May 2011.
• Bachelor of Statistics (B. Stat.), Indian Statistical Institute, July 2006-May 2009.

Awards and Honors
1. Alfred P. Sloan Fellowship in Mathematics, 2021.
2. NSF CAREER Award, 2021.
3. Probability Dissertation Award from the Department of Statistics, Stanford University in 2016.
4. Sabyasachi Roy Memorial Gold Medal for the best Master’s thesis in the 2009-2011 M. Stat.
program of the Indian Statistical Institute, Kolkata, India.
5. Fellow of the Kishore Vaiganik Protsahan Yojana (KVPY), 2008.
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Editorial Boards• Associate Editor, Annals of Statistics (January 2025–)• Associate Editor, Journal of the American Statistical Association (January 2023–)• Associate Editor, Annals of Applied Probability (January 2022–)• Associate Editor, Bernoulli (January 2022–)• Associate Editor, Sankhya, Series B (January 2022–)

Preprints
1. Bilol Banerjee, Bhaswar B. Bhattacharya, Anil K. Ghosh, A ball divergence based measure
for conditional independence testing, arXiv:2407.21456, 2024.
2. Anirban Chatterjee, Ziang Niu, Bhaswar B. Bhattacharya, A kernel-based conditional twosample test using nearest neighbors (with applications to calibration, regression curves, andsimulation-based inference), arXiv:2407.16550, 2024.
3. Anirban Chatterjee, Soham Dan, and Bhaswar B. Bhattacharya, Higher-order graphon theory:fluctuations, degeneracies, and inference, arXiv:2404.13822, 2024.
4. Somabha Mukherjee, Tianyu Liu, and Bhaswar B. Bhattacharya, Moderate deviation andBerry-Esseen bounds in the p-Spin Curie-Weiss model, arXiv:2403.14122, 2024.
5. Ziang Niu and Bhaswar B. Bhattacharya, Distribution-free joint independence testing androbust independent component analysis using optimal transport, arXiv:2211.15639, 2022, underrevision in the Journal of the American Statistical Association.
6. Nabarun Deb, Bhaswar B. Bhattacharya, and Bodhisattva Sen, Pitman efficiency lower bounds
for multivariate distribution-free tests based on optimal transport, arXiv:2104.01986, 2023, under revision in the Journal of the Royal Statistical Society, Series B.

Publications
7. Anirban Chatterjee and Bhaswar B. Bhattacharya, Boosting the power of kernel two-sample
tests, Biometrika, to appear, 2024.
8. Trambak Banerjee, Bhaswar B. Bhattacharya, and Gourab Mukherjee, Bootstrapped edge
count tests for nonparametric two-sample inference under heterogeneity, Journal of Computationaland Graphical Statistics, to appear, 2024.
9. Bhaswar B. Bhattacharya and Rajarshi Mukherjee, Sparse uniformity testing, IEEE Transactions on Information Theory, to appear, 2024.
10. Bhaswar B. Bhattacharya, Sayan Das, Somabha Mukherjee, and Sumit Mukherjee, Fluctuations of quadratic chaos, Communications in Mathematical Physics, to appear, 2024.
11. Sagnik Nandy and Bhaswar B. Bhattacharya, Degree heterogeneity in higher-order networks:
Inference in the hypergraph β-model, IEEE Transactions on Information Theory, to appear, 2024.
12. Somabha Mukherjee, Ziang Niu, Sagnik Halder, Bhaswar B. Bhattacharya, and George Michailidis, High dimensional logistic regression under network dependence, Journal of Machine Learning
Research, to appear, 2024.
213. Ricardo Castillo-Neyra, Sherrie Xie, Brinkley Raynor Bellotti, Elvis W. Diaz, Aris Saxena, Amparo M. Toledo, Gian Franco Condori-Luna, Maria Rieders, Bhaswar B. Bhattacharya, andMichael Z. Levy, Optimizing the location of vaccination sites to stop a zoonotic epidemic, Scientific
Reports, to appear, 2024.
14. Somabha Mukherjee, Jaesung Son, and Bhaswar B. Bhattacharya, Phase transitions of themaximum likelihood estimates in the p-spin Curie-Weiss model, Bernoulli, to appear, 2024.
15. Bhaswar B. Bhattacharya, Sandip Das, Sk Samim Islam, and Saumya Sen, Growth rate of
the number of empty triangles in the plane, Conference on Algorithms and Discrete Applied
Mathematics (CALDAM), 77–87, 2024.
16. Bhaswar B. Bhattacharya, Anirban Chatterjee, and Svante Janson, Fluctuations of subgraphcounts in graphon based random graphs, Combinatorics, Probability, and Computing, Vol. 32 (3),428–464, 2023.
17. Kwonsang Lee, Bhaswar B. Bhattacharya, Jing Qin, and Dylan S. Small, A nonparametricbinomial likelihood approach for causal inference in instrumental variable models, Journal of theKorean Statistical Society, Vol. 52, 1055–1077, 2023.
18. Sayak Chatterjee, Dibyendu Saha, Soham Dan, and Bhaswar B. Bhattacharya, Two-sample
tests for inhomogeneous random graphs in Lr norm: Optimality and asymptotics, International
Conference on Artificial Intelligence and Statistics (AISTATS), PMLR 206, 6903-6911, 2023.
19. Somabha Mukherjee, Jaesung Son, and Bhaswar B. Bhattacharya, Estimation in tensor Isingmodels, Information and Inference: A Journal of the IMA, Volume 11 (4), 1457–1500, 2022.
20. Bhaswar B. Bhattacharya, Sayan Das, and Sumit Mukherjee, Motif estimation via subgraphsampling: the fourth moment phenomenon, Annals of Statistics, Vol. 50 (2), 987–1011, 2022.
21. Somabha Mukherjee, Divyansh Agarwal, Nancy R. Zhang, and Bhaswar B. Bhattacharya,
Distribution-free multisample test based on optimal matching with applications to single cellgenomics, Journal of the American Statistical Association, Vol. 117 (538), 627–638, 2022.
22. Bhaswar B. Bhattacharya, Xiao Fang, and Han Yan, Normal approximation and fourth Moment theorems for monochromatic triangles, Random Structures and Algorithms, Vol. 60 (1),25–53, 2022.
23. Aritra Banik, Bhaswar B. Bhattacharya, Sujoy Bhore, and Leonardo Martínez-Sandoval, Geometric systems of unbiased representatives, Information Processing Letters, Vol. 176, 106232,2022.
24. Somabha Mukherjee, Jaesung Son, and Bhaswar B. Bhattacharya, Fluctuations of the magnetization in the p-spin Curie-Weiss model, Communications in Mathematical Physics, Vol. 387,681–728, 2021.
25. Bhaswar B. Bhattacharya and Kavita Ramanan, Parameter estimation in undirected graphicalmodels with hard constraints, IEEE Transactions on Information Theory, Vol. 67 (10), 6790–6809, 2021.
26. Bhaswar B. Bhattacharya, Somabha Mukherjee, and Sumit Mukherjee, Asymptotic distribution of Bernoulli quadratic forms, Annals of Applied Probability, Vol. 31 (4), 1548–1597, 2021.
27. Bhaswar B. Bhattacharya, Sohom Bhattacharya, and Shirshendu Ganguly, Spectral edge insparse random graphs: Upper and lower tail large deviations, Annals of Probability, Vol. 49 (4),1847–1885, 2021.
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28. Trambak Banerjee, Bhaswar B. Bhattacharya, and Gourab Mukherjee, A nearest-neighborbased nonparametric test for viral remodeling in heterogeneous single-cell proteomic data, Annalsof Applied Statistics, Vol. 14 (4), 1777–1805, 2020.
29. Bhaswar B. Bhattacharya, Asymptotic distribution and detection thresholds for two-sample
tests based on geometric graphs, Annals of Statistics, Vol. 48 (5), 2879–2903, 2020.
30. Soham Dan and Bhaswar B. Bhattacharya, Goodness-of-fit tests for inhomogeneous randomgraphs, International Conference on Machine Learning (ICML), PMLR 119, 2335–2344, 2020.
31. Somabha Mukherjee and Bhaswar B. Bhattacharya, Replica symmetry in upper tails of meanfield hypergraphs, Advances in Applied Mathematics, Vol. 119, 102047, 2020.
32. Bhaswar B. Bhattacharya and Shirshendu Ganguly, Upper tails for edge eigenvalues of randomgraphs, SIAM Journal on Discrete Mathematics, Vol. 34 (2), 1069–1083, 2020.
33. Bhaswar B. Bhattacharya, Somabha Mukherjee, and Sumit Mukherjee, The second moment
phenomenon for monochromatic subgraphs, SIAM Journal on Discrete Mathematics, Vol. 34 (1),794–824, 2020.
34. Bhaswar B. Bhattacharya, Shirshendu Ganguly, Xuancheng Shao, and Yufei Zhao, Upper taillarge deviations for arithmetic progressions in a random set, International Mathematics ResearchNotices, Vol. 2020 (1), 167–213, 2020.
35. Bhaswar B. Bhattacharya and Sumit Mukherjee, Limit theorems for monochromatic stars,
Random Structures and Algorithms, Vol. 55 (4), 831–853, 2019.
36. Manjari Pradhan, Bhaswar B. Bhattacharya, Krishnendu Chakrabarty, and Bhargab B. Bhattacharya, Predicting X-sensitivity of circuit-inputs on test-coverage: A machine-learning approach, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems (TCAD),
Vol. 38 (12), 2343–2356, 2019.
37. Qingyuan Zhao, Dylan S. Small, and Bhaswar B. Bhattacharya, Sensitivity analysis for inverse
probability weighting estimators via the percentile bootstrap, Journal of the Royal StatisticalSociety, Series B, Vol. 81 (4), 735–761, 2019.
38. Bhaswar B. Bhattacharya, A general asymptotic framework for distribution-free graph-based
two-sample tests, Journal of the Royal Statistical Society, Series B, Vol. 81 (3), 575–602, 2019.
39. Bhaswar B. Bhattacharya and Sumit Mukherjee, Monochromatic subgraphs in randomly colored graphons, European Journal of Combinatorics, Vol. 81, 328–353, 2019.
40. Aritra Banik, Bhaswar B. Bhattacharya, Sandip Das, and Sreeja Das, The 1-dimensional
discrete Voronoi game, Operations Research Letters, Vol. 47, 115–121, 2019.
41. Bhaswar B. Bhattacharya and Sumit Mukherjee, Inference in Ising models, Bernoulli, Vol. 24(1), 493–525, 2018.
42. Bhaswar B. Bhattacharya, Shirshendu Ganguly, Eyal Lubetzky, and Yufei Zhao, Upper tails
and independence polynomials in random graphs, Advances in Mathematics, Vol. 319, 313–347,
2017.
43. Aritra Banik, Bhaswar B. Bhattacharya, Sandip Das, and Satyaki Mukherjee, The discrete
Voronoi game in R2 , Computational Geometry: Theory and Applications, Vol. 63, 53–62, 2017.
44. Bhaswar B. Bhattacharya and Sumit Mukherjee, Degree sequence of random permutationgraphs, Annals of Applied Probability, Vol. 27 (1), 439–484, 2017.
445. Bhaswar B. Bhattacharya, Persi Diaconis, and Sumit Mukherjee, Universal poisson and normal
limit theorems in graph coloring problems with connections to extremal combinatorics, Annals ofApplied Probability, Vol. 27 (1), 337–394, 2017.
46. Bhaswar B. Bhattacharya, Collision times in multicolor urn models and sequential graphcoloring with applications to discrete logarithms, Annals of Applied Probability, Vol. 26 (6),3286–3318, 2016.
47. Bhaswar B. Bhattacharya and Subhabrata Sen, High temperature asymptotics of orthogonal
mean-field spin glasses, Journal of Statistical Physics, Vol. 162 (1), 63–80, 2016.
48. Deepan Basu, Kinjal Basu, Bhaswar B. Bhattacharya, and Sandip Das, Almost empty monochromatic triangles in planar point sets, Discrete Applied Mathematics, Vol. 210, 207–213, 2016.
49. Bhaswar B. Bhattacharya and Gregory Valiant, Testing closeness with unequal sized samples,
Neural Information Processing System (NIPS), 2611–2619, 2015.
50. Bhaswar B. Bhattacharya and Sumit Mukherjee, Exact and asymptotic results on coarse Riccicurvature of graphs, Discrete Mathematics, Vol. 338, 23–42, 2015.
51. Bhaswar B. Bhattacharya, Sayantan Das, and Shirshendu Ganguly, Minimum-weight edge
discriminator in hypergraphs, Electronic Journal of Combinatorics, Vol. 21 (3), #P3.18, 2014.
52. Aritra Banik, Bhaswar B. Bhattacharya, and Sandip Das, The minimum enclosing circle of aset of fixed points and a mobile point, Computational Geometry: Theory and Applications, Vol.
47 (9), 891–898, 2014.
53. Aritra Banik, Bhaswar B. Bhattacharya, and Sandip Das, Optimal strategies for the one-rounddiscrete Voronoi game on a line, Journal of Combinatorial Optimization, Vol. 26, 655–669, 2013.
54. Bhaswar B. Bhattacharya and Sandip Das, On pseudo-convex partitions of a planar point set,Discrete Mathematics, Vol. 313 (21), 2401–2408, 2013.
55. Bhaswar B. Bhattacharya and Subhas C. Nandy, New variations of the maximum coveragefacility location problem, European Journal of Operational Research, Vol. 224, 477–485, 2013.
56. Bhaswar B. Bhattacharya and Sandip Das, Disjoint empty convex pentagons in planar pointsets, Periodica Mathematica Hungarica, Vol. 66 (1), 73–86, 2013.
57. Riddhipratim Basu, Bhaswar B. Bhattacharya, and Tanmoy Talukdar, The projection medianof a set of points in Rd , Discrete and Computational Geometry, Vol. 47 (2), 329–346, 2012.
58. Bhaswar B. Bhattacharya and Sandip Das, Holes or empty-pseudo-triangles in planar pointsets, Moscow Journal of Combinatorics and Number Theory, Vol. 2 (1), 16–46, 2012.
59. Bhaswar B. Bhattacharya and Sandip Das, On the minimum size of a point set containing a 4Hole and a disjoint 5-Hole, Studia Scientiarum Mathematicarum Hungarica, Vol. 48 (4), 445–457,2011.
60. Bhaswar B. Bhattacharya, On the Fermat-Weber point of a polygonal chain and its generalizations, Fundamenta Informaticae, Vol. 107 (4), 331–343, 2011.
61. Bhaswar B. Bhattacharya, Maximizing Voronoi regions of a set of points enclosed in a circle
with applications to facility location, Journal of Mathematical Modelling and Algorithms, Vol. 9(4), 375–392, 2010.

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62. Bhaswar B. Bhattacharya and Sandip Das, Geometric proof of a Ramsey-type result fordisjoint empty convex polygons I and II, Geombinatorics, Vol. XX (1), 5–16, and Vol. XIX (4),146–155, 2010.

Teaching• Fall 2024 (Wharton): Mathematical Statistics (STAT 4320), Mathematical Statistics (STAT 9700)• Fall 2023 (Wharton): Mathematical Statistics (STAT 4320), Mathematical Statistics (STAT 9700)• Spring 2023 (Wharton): Mathematical Statistics (STAT 9700)• Fall 2022 (Indian Statistical Institute): Combinatorial Statistics and Network Analysis• Spring 2022 (Wharton): Mathematical Statistics (STAT 432)
• Fall 2021 (Wharton): Mathematical Statistics (STAT 970)
• Spring 2021 (Wharton): Seminar in Advanced Applications in Statistics (STAT 991)
• Fall 2020 (Wharton): Mathematical Statistics (STAT 970)
• Fall 2019 (Wharton): Mathematical Statistics (STAT 970)
• Fall 2018 (Wharton): Statistical Inference (STAT 431/511), Mathematical Statistics (STAT 970)
• Fall 2017 (Wharton): Statistical Inference (STAT 431/511), Mathematical Statistics (STAT 970)
• Spring 2017 (Wharton): Seminar in Advanced Applications in Statistics (STAT 991)
• Fall 2016 (Wharton): Statistical Inference (STAT 431/511)• Summer 2013 (Stanford): Qualifying Exams Workshop (STATS 302)

Software• Invited contribution to the Wolfram Demonstration Project: Fermat-Weber Point of a Polygonal Chain.

Advising• Ph.D. Dissertation Advisor:
1. Ziang Niu (co-advisor, jointly with Eugene Katsevich), Department of Statistics and DataScience, The Wharton School, University of Pennsylvania (2023–).
2. Sayak Chatterjee, Department of Statistics and Data Science, The Wharton School, University of Pennsylvania, (2022–).
3. Anirban Chatterjee, Department of Statistics and Data Science, The Wharton School, University of Pennsylvania, expected to graduate in 2025.
4. Mauricio Daros Andrade, Department of Statistics and Data Science, The Wharton School,University of Pennsylvania, expected to graduate in December, 2024.
5. Sagnik Nandy (co-advisor, primary advisor Zongming Ma), Department of Statistics andData Science, The Wharton School, University of Pennsylvania, Ph.D. 2024.

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– Current Position: Kruskal Instructor, Department of Statistics, University of Chicago
during 2024-2025. Starting as Assistant Professor, Department of Statistics, Ohio State
University from Fall 2025.
6. Somabha Mukherjee, Department of Statistics and Data Science, The Wharton School, University of Pennsylvania, Ph.D. 2021.
– Current Position: Assistant Professor, Department of Statistics and Data Science, National University of Singapore.
• Postdoc Mentor: Ankan Ganguly (Spring 2023).

Grant Support• Alfred P. Sloan Fellowship in Mathematics, 2021–2023.
• Wharton Dean’s Research Fund, 2021–2023.
• NSF CAREER DMS 2046393 (Principal Investigator): Geometric and combinatorial methods for
distribution-free inference and dependent network data, 07/01/2021–06/30/2026.
• NSF DMS 2113771 (Co-Principal Investigator with Debashis Mondal): Distance based analysis
for complex high-dimensional data, 07/01/2021–06/30/2024.
• NIH/NIAID R01-AI168291 (Co-Investigator): Spatially responsive mass vaccination strategies forurban rabies, 04/08/22–03/31/27 (Principal Investigator: Ricardo Castillo-Neyra).
• NIH-R01AI146129 (Co-Investigator): An immune system for the city: a new paradigm for controlof urban disease vectors, 07/01/2019–06/30/2024 (Principal Investigators: Michael Z. Levy andValerie A. Paz-Soldan).

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