From the 1 of 20 linked papers with an AI index.
20 papers
Reading Between The Lines: Modeling and Evaluating Behavioral Realism in Legal Simulation
Divya Vetticaden, Arya Gupta, Julian Nyarko +1
Deposition training requires attorneys to manage dynamic witness behavior, yet legal-AI evaluations largely focus on factual accuracy, reasoning, or response-level plausibility. We…
Exact Likelihood and Sampling for Riemannian Gaussian Distributions on Correlation Matrices
Kisung You
Correlation matrices arise when marginal scales are removed from covariance matrices, yet a normalized likelihood must account for both quotient distance and quotient volume. We pr…
HOMER: Huber-of-Means for Efficient and Robust Estimation in Hilbert Spaces
Kisung You, Boram Cho
The paper introduces HOMER (Huber-of-Means), a robust estimator for Hilbert‑space valued data that aggregates block means using a radial Huber loss, offering a trade‑off between me…
Heat-Kernel Entropy Profiles and Geometric Effective Sample Size for Weighted Measures on Manifolds
Kisung You, Boram Cho
Weighted empirical measures on compact manifolds appear in importance sampling, particle approximations, posterior summaries, quadrature, and representation learning. Ordinary effe…
Geometric Information Decomposition for Weighted Empirical Measures on the Sphere
Kisung You, Boram Cho
Weighted observations on the unit sphere arise in importance sampling, quadrature, and attention-weighted embeddings. Directional uncertainty is often summarized through a von Mise…
Fast Computation of Free-Support Wasserstein Medians
Kisung You, Mauro Giuffré, Dennis Shung
The Wasserstein median is a robust alternative to the Wasserstein barycenter for averaging probability measures, but exact empirical computation can be expensive. A natural metric-…