Research

Statistics under modern information constraints

Modern learning rarely has access to clean, fully labeled, centrally pooled data. Confounders are hidden, labels are imperfect, datasets are fragmented across institutions, model outputs are modified by humans, and observations often obey complex structural constraints.

I develop statistical principles for recovering reliable information under these conditions. Across causal inference, distributed learning, and modern AI, I ask what remains identifiable, what information must be validated or communicated, and which procedures are statistically optimal.

My broader interests center on how learning systems acquire, retrieve, evaluate, and retain information. This includes active learning for data-efficient supervision, retrieval-augmented methods for grounding models in external evidence, statistically principled benchmarking and evaluation of large language models, continual learning under evolving tasks, and learning-system design that avoids shortcut solutions and improves out-of-distribution reliability.

What remains identifiable?Find the signal that survives hidden bias, indirect measurement, and structural constraints.
What information should move?Design summaries that preserve inferential value when raw data cannot be pooled.
What remains reliable?Build guarantees that hold as models, environments, and human behavior change.

Reliable Inference from Imperfect Evidence

Causal inference, real-world evidence, and surrogate-powered inference

Can reliable conclusions be recovered when the variables we need are hidden and the labels we use may be wrong?

My work turns auxiliary information into calibrated evidence. I use historical and negative controls to expose residual confounding, and flexible tree-based methods to learn heterogeneous treatment effects when standard identifying assumptions may fail. More recently, I have extended this perspective to surrogate-powered inference, combining abundant but noisy labels with limited high-quality validation data through regularization and adaptive labeling.

The unifying goal is to make hidden bias and imperfect labels empirically diagnosable, correctable, and useful for inference—rather than simply assuming them away.

Current directionsFoundation-model outputs as surrogates; multimodal negative controls; adaptive validation; and principled integration of randomized trials with real-world evidence.

Selected work

Collaborative Inference without Data Pooling

Distributed inference, heterogeneous populations, and reusable statistical summaries

When data cannot move, what information should?

I study how to retain the inferential value of pooled data when observations are distributed across institutions, heterogeneous across populations, or missing in incompatible blocks. My work first showed that more aggregation can hurt: the gain from larger samples must be balanced against bias from heterogeneity, and communication structure determines which sites should borrow from one another.

My recent work shifts the focus from aggregating model parameters to sharing information-preserving statistical objects. Transfer functions can safely augment an internal study with blockwise-missing external data; distributed calibration can reproduce pooled-data treatment comparisons; and MOSAiC compresses entire local risk functions so that sites communicate once while supporting accurate, flexible downstream analyses.

Current directionsReusable one-shot summaries; multimodal and blockwise-fragmented studies; federated foundation models; and statistically principled collaboration among distributed AI agents.

Selected work

Statistical Foundations for Adaptive and Verifiable AI

Generalization, knowledge retention, and statistical content provenance

How can modern learning systems remain understandable and verifiable as models, tasks, and their outputs evolve?

I use non-asymptotic theory and optimal testing to study the full lifecycle of modern learning systems. On the learning side, I investigate why overparameterized neural networks generalize and how continual-learning algorithms balance forward transfer against retention of earlier knowledge. On the verification side, our team formulates LLM watermarking as a statistical testing problem and derives detection rules with explicit efficiency and optimality guarantees.

A recurring theme is that familiar methods can fail in modern regimes: classical bias–variance intuition can miss the benefit of overparameterization, standard regularizers can be suboptimal across tasks, and additive watermark detectors lose robustness when humans edit generated text. The theory reveals these failure mechanisms and points to better procedures.

Current directionsActive and data-efficient learning; retrieval-augmented and knowledge-grounded systems; statistically principled benchmarking and evaluation of large language models; continual learning and model adaptation; and learning-system design that avoids shortcut solutions.

Selected work

Learning Structure and Dynamics from Complex Data

Constrained geometry, dynamic graphs, and scientific machine learning

Can structure recover information that standard data representations appear to lose?

I develop methods that use geometry, sparsity, and relational dynamics to reveal interactions hidden by nonstandard observations. CARE shows that although compositional measurements obscure absolute scale, sparsity and increasing dimension can restore identifiability: in sufficiently high dimensions, its precision-matrix estimator is minimax optimal and performs as if the latent basis were observed. Related work recovers nonlinear dependence graphs from asynchronous event streams and models out-of-distribution fluid dynamics through disentangled graph ODEs.

This direction treats structure not as a complication to work around, but as information that can make otherwise difficult learning and inference problems solvable.

Current directionsFoundation models for structured and time-series data; scientific world models; causal discovery in complex systems; and multimodal scientific data with known structural constraints.

Selected work