19 papers
Balancing fractional Brownian motion
Hengrui Luo, Yiming Xu
We study the discrepancy of balancing independent sample paths of fractional Brownian motion with Hurst exponent on , an infinite-dimensional analogue of bal…
Spectral Signatures of Large Language Models
Zhuoying Zhang, Ishan V. Prasad, Yuanzhe Hu +4
The rapidly growing repository of publicly available large language models (LLMs) presents significant challenges for systematic management and quantification at scale, such as mod…
Shrinkage priors for Bayesian Substitute Confounders
Yordan P. Raykov, Hengrui Luo, Justin D. Strait +1
Multi-cause observational studies contain information about unmeasured confounding through the dependence structure among causes. However, literal imputation of the unobserved conf…
Wedge Sampling: Efficient Tensor Completion with Nearly-Linear Sample Complexity
Hengrui Luo, Anna Ma, Ludovic Stephan +1
We introduce Wedge Sampling, a new non-adaptive sampling scheme for low-rank tensor completion. We study recovery of an order- low-rank tensor of dimension $n\times\cdots\times…
Minimizing the Arithmetic and Communication Complexity of Jacobi's Method for Eigenvalues and Singular Values: Part One -- Serial Algorithms
James Demmel, Hengrui Luo, Ryan Schneider +1
We analyze several versions of Jacobi's method for the symmetric eigenvalue problem. Our goal is to reduce the asymptotic cost of the algorithm as much as possible, as measured by…
Stabilizing the Splits through Minimax Decision Trees
Zhenyuan Zhang, Hengrui Luo
By revisiting the end-cut preference (ECP) phenomenon associated with a single CART (Breiman et al. (1984)), we introduce MinimaxSplit decision trees, a robust alternative to CART…