arXiv:2512. 06143v2 Announce Type: replace Abstract: Despite a large corpus of recent work on scaling up Gaussian processes, a stubborn trade-off between computational speed, prediction and uncertainty quantification accuracy, and customizability persists.
By Marcus M. Noack, Mark D. Risser, Hengrui Luo, Vardaan Tekriwal, Ronald J. Pandolfi
arXiv:2511. 16340v2 Announce Type: replace Abstract: Efficient Gaussian process (GP) inference is critical for sequential decision-making tasks such as active learning, online prediction, and Bayesian optimization.
By Alan Yufei Dong, Jihao Andreas Lin, Jos\'e Miguel Hern\'andez-Lobato
arXiv:2606. 02909v1 Announce Type: cross Abstract: Gradient observations can substantially improve Gaussian process (GP) surrogates, particularly in high-dimensional settings where function evaluations are expensive.
By Hyunseok Seung, Matthias Katzfuss
arXiv:2607. 19498v1 Announce Type: cross Abstract: Gaussian process (GP) modeling is widely used in computational science and engineering.
By Eric Herrison Gyamfi, Emily L. Kang, Bledar A. Konomi, Guang Lin
The paper studies how flow‑matching schedules influence sampling dynamics and regression variance. For centered commuting Gaussians, it shows that a direction‑dependent schedule splits into a variance path that determines intermediate laws and a factorization that keeps the flow unchanged while controlling irreducible regression variance. The authors analyze finite‑step Euler accuracy, derive a drift bound for exact N‑step sampling, and provide closed‑form factorizations that either minimize time‑averaged regression variance or keep it constant along a fixed path.
By Ars\`ene Claustre (DI-ENS), Hugo Negrel (DMA, CFM), Claire Boyer (LMO, IUF), Kimia Nadjahi (DI-ENS), Eric Vanden-Eijnden (DMA, CFM, CIMS)
arXiv:2609.39488v1 Announce Type: new
Abstract: Flow matching generates samples by gradually transforming noise into data. In practice, using a finite number of sampling steps introduces a numerical...
By Ron Levy, Michael Elad