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Gaussian graphical regression is a powerful means that regresses the precision matrix of a Gaussian graphical model on covariates, permitting the numbers of the response variables and covariates to far exceed the sample size. Model fitting…

统计方法学 · 统计学 2022-05-24 Jingfei Zhang , Yi Li

We propose a variance reduction framework for variational inference using the Multilevel Monte Carlo (MLMC) method. Our framework is built on reparameterized gradient estimators and "recycles" parameters obtained from past update history in…

机器学习 · 统计学 2021-12-03 Masahiro Fujisawa , Issei Sato

Sample-based Bayesian inference provides a route to uncertainty quantification in the geosciences, and inverse problems in general, though is very computationally demanding in the naive form that requires simulating an accurate computer…

统计计算 · 统计学 2019-04-12 Tiangang Cui , Colin Fox , Michael J O'Sullivan

Even though Nearest Neighbor Gaussian Processes (NNGP) alleviate considerably MCMC implementation of Bayesian space-time models, they do not solve the convergence problems caused by high model dimension. Frugal alternatives such as response…

统计计算 · 统计学 2021-09-15 Sébastien Coube-Sisqueille , Benoît Liquet

We consider covariance estimation in the multivariate generalized Gaussian distribution (MGGD) and elliptically symmetric (ES) distribution. The maximum likelihood optimization associated with this problem is non-convex, yet it has been…

统计方法学 · 统计学 2015-06-15 Teng Zhang , Ami Wiesel , Maria Sabrina Grec

Two non-intrusive uncertainty propagation approaches are proposed for the performance analysis of engineering systems described by expensive-to-evaluate deterministic computer models with parameters defined as interval variables. These…

信号处理 · 电气工程与系统科学 2022-02-15 Alice Cicirello , Filippo Giunta

To address the challenges of delayed scheduling information, heavy reliance on manual labour, and low operational efficiency in traditional large-scale agricultural machinery operations, this study proposes a method for multi-agricultural…

神经与进化计算 · 计算机科学 2023-12-08 Haohao Du

Active multi-fidelity surrogate modeling is developed for multi-condition airfoil shape optimization to reduce high-fidelity CFD cost while retaining RANS-level accuracy. The framework couples a low-fidelity-informed Gaussian process…

Accurately fitting the term structure of interest rates is critical to central banks and other market participants. The Nelson-Siegel and Nelson-Siegel-Svensson models are probably the best-known models for this purpose due to their…

风险管理 · 定量金融 2021-08-05 Asif Lakhany , Andrej Pintar , Amber Zhang

Gaussian processes (GPs) are a Bayesian machine learning approach widely used to construct surrogate models for the uncertainty quantification of computer simulation codes in industrial applications. It provides both a mean predictor and an…

The goal of this paper is to make Optimal Experimental Design (OED) computationally feasible for problems involving significant computational expense. We focus exclusively on the Mean Objective Cost of Uncertainty (MOCU), which is a…

最优化与控制 · 数学 2020-12-09 Anthony M. DeGennaro , Francis J. Alexander

High-dimensional Bayesian optimization (BO) tasks such as molecular design often require 10,000 function evaluations before obtaining meaningful results. While methods like sparse variational Gaussian processes (SVGPs) reduce computational…

机器学习 · 计算机科学 2025-06-11 Natalie Maus , Kyurae Kim , Geoff Pleiss , David Eriksson , John P. Cunningham , Jacob R. Gardner

Numerous engineering problems of interest to the industry are often characterized by expensive black-box objective experiments or computer simulations. Obtaining insight into the problem or performing subsequent optimizations requires…

机器学习 · 统计学 2019-07-29 Piyush Pandita , Jesper Kristensen , Liping Wang

Bayesian optimization (BO) is a popular method to optimize costly black-box functions. While traditional BO optimizes each new target task from scratch, meta-learning has emerged as a way to leverage knowledge from related tasks to optimize…

机器学习 · 计算机科学 2024-07-01 Jiarong Pan , Stefan Falkner , Felix Berkenkamp , Joaquin Vanschoren

This paper proposes a novel meta-learning approach to optimize a robust portfolio ensemble. The method uses a deep generative model to generate diverse and high-quality sub-portfolios combined to form the ensemble portfolio. The generative…

神经与进化计算 · 计算机科学 2023-07-18 Kamer Ali Yuksel

Antibody lead optimization is inherently a multi-objective challenge in drug discovery. Achieving a balance between different drug-like properties is crucial for the development of viable candidates, and this search becomes exponentially…

机器学习 · 计算机科学 2026-04-16 Jackie Rao , Ferran Gonzalez Hernandez , Leon Gerard , Alexandra Gessner

Due to the significant delay and cost associated with experimental tests, a model based evaluation of concrete compressive strength is of high value, both for the purpose of strength prediction as well as the mixture optimization. In this…

机器学习 · 计算机科学 2021-06-15 Seyed Arman Taghizadeh Motlagh , Mehran Naghizadehrokni

Markov Chain Monte Carlo (MCMC) methods often take many iterations to converge for highly correlated or high-dimensional target density functions. Methods such as Hamiltonian Monte Carlo (HMC) or No-U-Turn Sampling (NUTS) use the…

数值分析 · 数学 2024-08-08 Kislaya Ravi , Tobias Neckel , Hans-Joachim Bungartz

Complex computer codes are often too time expensive to be directly used to perform uncertainty propagation studies, global sensitivity analysis or to solve optimization problems. A well known and widely used method to circumvent this…

应用统计 · 统计学 2008-04-06 Amandine Marrel , Bertrand Iooss , Francois Van Dorpe , Elena Volkova

We present a novel extension of multi-output Gaussian processes for handling heterogeneous outputs. We assume that each output has its own likelihood function and use a vector-valued Gaussian process prior to jointly model the parameters in…

机器学习 · 统计学 2019-01-04 Pablo Moreno-Muñoz , Antonio Artés-Rodríguez , Mauricio A. Álvarez
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