15 citations · 15 across the 4 of their papers we have counts for
4 papers
Low-rank approximation of Rippa method for RBF interpolation
Jiawen Lyu, Maria Han Veiga
We study the problem of selecting the shape parameter in Radial Basis function (RBF) interpolation using leave-one-out-cross-validation (LOOCV). Since the classical LOOCV formula r…
Kernel-Smoothed Scores for Denoising Diffusion: A Bias-Variance Study
Franck Gabriel, François Ged, Maria Han Veiga +1
Diffusion models now set the benchmark in high-fidelity generative sampling, yet they can, in principle, be prone to memorization. In this case, their learned score overfits the fi…
Learning a robust shape parameter for RBF approximation
Maria Han Veiga, Faezeh Nassajian Mojarrad, Fatemeh Nassajian Mojarrad
Radial basis functions (RBFs) play an important role in function interpolation, in particular in an arbitrary set of interpolation nodes. The accuracy of the interpolation depends…
An Interdisciplinary Outlook on Large Language Models for Scientific Research
James Boyko, Joseph Cohen, Nathan Fox +9
In this paper, we describe the capabilities and constraints of Large Language Models (LLMs) within disparate academic disciplines, aiming to delineate their strengths and limitatio…