Selected research projects. For projects without linked papers, more details can be shared on request.
AI Evaluation & Measurement
Recent work stress-testing large language and vision-language models — whether they genuinely reason about numerical functions or merely recall, and whether a model's stated confidence stays warranted as its perceptual evidence degrades.
Many agents, how many independent witnesses? When several LLM agents agree, the agreement is read as corroboration — as if each were an independent measurement. Agents built from similar models make correlated mistakes, and debate makes them more alike, so a five-agent panel is worth barely more than one independent witness. Only mixing models from different developers buys real independence.
Reasoning or recall? A blind protocol hides the identity of a function and asks LLMs to predict, integrate, and optimize it from sampled points alone — separating genuine numerical reasoning from memorized recall.
Confidence as testimony. As perceptual evidence decays under noise and occlusion, a faithful model should lose confidence — yet some confabulate a confident, wrong class instead.
Does uncertainty-aware machinery around a generative robot policy actually help it succeed? Testing world-model selection and runtime failure monitors over whole episodes, not single decisions.
Best-of-K world-model selection. A diffusion policy proposes K candidate actions, a world model predicts each outcome, and a scoring rule executes the best. Across five world models and K from 5 to 100, selection that improves single decisions can lower success over whole episodes — on Push-T, from 56.7% to as low as 32.5%. paper
Beyond AND and OR. Runtime monitors join several failure scores with a fixed rule — alarm if any fires, or only if all do. Calibrating the scores jointly instead learns one no-alarm region in score space that keeps the false-alarm guarantee; a diagonal region catches more out-of-distribution failures on Push-T (0.79 vs. 0.60 at the same alarm rate). With L. Lützow and M. J. Kochenderfer, UncertainWM Workshop, CoRL 2026.
Where regulation meets the pace of AI — measuring how governance actually works, and where it stalls.
Bridging AI development and regulation. Only 4.23% of U.S. AI bills (2017–2025) reach a terminal outcome; a position paper argues for adaptive, anticipatory legislation with independent oversight. position paper
Uncertainty Quantification
A library of high-dimensional test functions for optimization, uncertainty quantification, and numerical integration problems.
Quantifying uncertainty in AI/ML predictive estimates, decomposing it into aleatoric and epistemic components, and using it to guide active learning. Applications across vision, image classification, regression, and time-series.
Vision. Uncertainty in object detection, segmentation, and image generation/captioning workflows.
Image classification. Accuracy & uncertainty impact of rotation and AWGN on NN classifiers (MNIST / CIFAR).
1-d regression. Uncertainty bands with deep ensembles, MC dropout, and conformal prediction over limited noisy observations.
Multifidelity fusion. Convolutional encoder/decoder networks that fuse many cheap low-fidelity samples with a few expensive high-fidelity ones to reconstruct full fields and their predictive uncertainty.
Leveraging Voronoi diagrams and Delaunay graphs for global surrogate modeling in high-dimensional UQ and adaptive sampling under limited sample budgets (multifidelity / costly / high-stakes simulations).
Geometry & Signal Processing
Creating and tuning 2-d / 3-d meshes with guaranteed quality properties.
Feature extraction (e.g., period-3 in DNA), object localization (e.g., echoes in ultrasound), and spectral analysis of high-d sampling techniques via Nd-FFT.
Extending mesh-tuning methods (e.g., non-obtuse triangulation, paper) to model fiber-reinforced polymers for elastic & failure simulations; and ML for collision detection and motion planning.