Research & Publications
-
Efficient Uncertainty Quantification of Bagging via the Cheap Bootstrap
- Developed a lightweight bootstrap framework that provides asymptotically exact confidence intervals for bagged predictors using a small, fixed number of resamples as bag size grows.
- Applicable to Random Forests and bagged estimators in stochastic optimization.
Preliminary version appeared in Proceedings of the 2025 Winter Simulation Conference (WSC).Best Student Paper Award, NESS 2026. -
Quantification and Decomposition of Uncertainty Using Sliced-Normal Distribution: With Applications to NASA Data
- Developed a scalable framework for modeling complex multivariate distributions with Sliced-Normal models.
- Reformulated parameter estimation as a convex positive-semidefinite optimization problem, established universal approximation on compact domains, and introduced a block-assembly method for higher-dimensional NASA loss-of-control flight data.
[arXiv] -
Superiority of Naïve Optimization via Stochastic Dominance
- Theoretically established that naive methods such as Empirical Risk Minimization (ERM) can outperform Distributionally Robust Optimization (DRO) and regularization in minimizing worst-case regret under joint data and distributional uncertainty, leveraging generalized symmetry arguments.
- Demonstrated effectiveness under standard distribution-shift regimes.
[Slides] -
Estimation of Rare-Event Probabilities Using Extreme Value Theory
- Estimates rare-event probabilities by modeling the tail behavior using the Generalized Pareto Distribution (GPD).
- Investigates GPD-based methods as a model-agnostic alternative to importance sampling for rare-event simulation.
-
Bayesian Nonparametric Generalization of Tree-Based ML Approaches
- Proposed a Bayesian nonparametric mixture model of decision trees with a random number of components, using a Dirichlet Process prior to flexibly capture complex decision boundaries.
M.Stat dissertation work -
Accelerography: Feasibility of Gesture Typing Using Accelerometer
- Designed intuitive motion gestures for the English alphabet, enabling text input by physically moving a phone.
- Developed and implemented an R-based pipeline to classify these gestures using accelerometer data.
* Equal contribution[arXiv]
Invited Talks
-
NASA Langley Research Centre
Session: Uncertainty Quantification Seminar (Nov 2024)
- Title 1: Modelling Multivariate Data using Exponential Polynomials
- Title 2: Stochastic Optimization: Superiority of Naïve Approaches
-
INFORMS Annual Meeting
Session: Recent Advances in Data-Driven Optimization (Oct 2024)
- Title: Robustness vs Statistical Efficiency: Superiority of Naïve Optimization
-
The 37th New England Statistics Symposium
Session: Recent Advances in Data-Driven Decision-Making (May 2024)
- Title: Regret Optimality of Empirical Risk Minimization
Early Research & Project Reports
-
Causal Inference Using Directed Acyclic Graphical (DAG) Models (Nov–Dec 2019)
- Explored the need of studying causal inference as a separate topic, and did a basic review of causal inference using directed acyclic graphs.
- Performed analysis of causal inference on different datasets, to estimate the underlying causal model.
- Noted some significant implications for Tea auction mechanism in India.
[Report] -
Modelling Summit Success Rate of Mt. Rainier (Nov–Dec 2019)
- Modeled team size as a Poisson mixture and analyzed summit success rates conditioned on team size, achieving strong predictive performance.
[Slides]