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Project Ideas for Doctor of Philosophy in Statistics

Cutting-edge theory and scalable computation turning uncertainty into actionable insight.

🏛 Introduction

UIUC’s Statistics PhD blends rigorous probability foundations with high-performance algorithms and responsible AI. Doctoral candidates derive non-parametric inference for graph data, accelerate Bayesian sampling on GPUs, and quantify fairness trade-offs in healthcare prediction. Collaborations with NCSA and industry labs open vast, messy datasets for discovery.

💡 Suggested Project Titles

Graph neural-network uncertainty quantification via Bayesian GNNs

Causal inference with time-series cross-validation for policy shocks

Differentially private probabilistic programming for sensitive data

Optimal transport-based two-sample tests in genomics

Scalable Hamiltonian Monte Carlo on GPU tensor cores

Fairness constraints in survival models for transplant allocation

Topological data-analysis confidence intervals for climate extremes

Meta-learning priors for small-area disease prevalence estimation

Grant proposal for open-source library on Bayesian deep ensembles

White paper on ethical auditing of predictive policing models

Interactive Shiny app teaching simulation-based inference

Tensor decomposition of multi-modal neuroimaging data

Robust regression under adversarial data poisoning

Policy memo on statistical literacy for lawmakers

Long-memory time-series modeling of cryptocurrency volatility

Citizen-science workshop on data visualization for community activists

University of Illinois – PhD in Statistics

Invent tomorrow’s statistical tools with UIUC Statistics.

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