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Asynchronous Bayesian optimization is a recently implemented technique that allows for parallel operation of experimental systems and disjointed workflows. Contrasting with serial Bayesian optimization which individually selects experiments…

机器学习 · 计算机科学 2024-10-23 Amanda A. Volk , Kristofer G. Reyes , Jeffrey G. Ethier , Luke A. Baldwin

We present the first general purpose framework for marginal maximum a posteriori estimation of probabilistic program variables. By using a series of code transformations, the evidence of any probabilistic program, and therefore of any…

机器学习 · 统计学 2017-07-17 Tom Rainforth , Tuan Anh Le , Jan-Willem van de Meent , Michael A. Osborne , Frank Wood

We study the implicit bias of generic optimization methods, such as mirror descent, natural gradient descent, and steepest descent with respect to different potentials and norms, when optimizing underdetermined linear regression or…

机器学习 · 统计学 2020-06-24 Suriya Gunasekar , Jason Lee , Daniel Soudry , Nathan Srebro

In typical applications of Bayesian optimization, minimal assumptions are made about the objective function being optimized. This is true even when researchers have prior information about the shape of the function with respect to one or…

机器学习 · 统计学 2016-12-30 Michael Jauch , Víctor Peña

We consider black-box global optimization of time-consuming-to-evaluate functions on behalf of a decision-maker (DM) whose preferences must be learned. Each feasible design is associated with a time-consuming-to-evaluate vector of…

机器学习 · 统计学 2020-03-05 Raul Astudillo , Peter I. Frazier

Experimental (design) optimization is a key driver in designing and discovering new products and processes. Bayesian Optimization (BO) is an effective tool for optimizing expensive and black-box experimental design processes. While Bayesian…

机器学习 · 计算机科学 2024-02-28 Arun Kumar A , Alistair Shilton , Sunil Gupta , Santu Rana , Stewart Greenhill , Svetha Venkatesh

While many advanced statistical methods for the design of experiments exist, it is still typical for physical experiments to be performed adaptively based on human intuition. As a consequence, experimental resources are wasted on…

统计方法学 · 统计学 2025-03-04 Anton van Beek

The Efficient Global Optimization (EGO) algorithm uses a conditional Gaus-sian Process (GP) to approximate an objective function known at a finite number of observation points and sequentially adds new points which maximize the Expected…

最优化与控制 · 数学 2016-03-09 Hossein Mohammadi , Rodolphe Le Riche , Eric Touboul

Optimisation problems are ubiquitous in particle and astrophysics, and involve locating the optimum of a complicated function of many parameters that may be computationally expensive to evaluate. We describe a number of global optimisation…

An efficient method for finding a better maximizer of computationally extensive probability distributions is proposed on the basis of a Bayesian optimization technique. A key idea of the proposed method is to use extreme values of…

数据分析、统计与概率 · 物理学 2018-03-14 Ryo Tamura , Koji Hukushima

Achieving ultimate bounds in estimation processes is the main objective of quantum metrology. In this context, several problems require measurement of multiple parameters by employing only a limited amount of resources. To this end,…

Bayesian optimization is a sample-efficient approach to solving global optimization problems. Along with a surrogate model, this approach relies on theoretically motivated value heuristics (acquisition functions) to guide the search…

机器学习 · 统计学 2017-12-04 James T. Wilson , Riccardo Moriconi , Frank Hutter , Marc Peter Deisenroth

This paper tackles the multi-objective optimization of the cost functional of a path-following model predictive control for vehicle longitudinal and lateral control. While the inherent optimal character of the model predictive control and…

机器人学 · 计算机科学 2021-04-09 Ali Gharib , David Stenger , Robert Ritschel , Rick Voßwinkel

Our paper deals with inferring simulator-based statistical models given some observed data. A simulator-based model is a parametrized mechanism which specifies how data are generated. It is thus also referred to as generative model. We…

机器学习 · 统计学 2016-01-01 Michael U. Gutmann , Jukka Corander

The paper solves the problem of optimal portfolio choice when the parameters of the asset returns distribution, like the mean vector and the covariance matrix are unknown and have to be estimated by using historical data of the asset…

统计金融 · 定量金融 2023-04-19 David Bauder , Taras Bodnar , Nestor Parolya , Wolfgang Schmid

The implementation of global optimization algorithms, using the arithmetic of infinity, is considered. A relatively simple version of implementation is proposed for the algorithms that possess the introduced property of strong homogeneity.…

数值分析 · 计算机科学 2016-11-25 Antanas Zilinskas

Optimisation-based algorithms known as Moving Horizon Estimator (MHE) have been developed through the years. This paper illustrates the implementation of the policy introduced in the companion paper submitted to the 18th IFAC Workshop on…

最优化与控制 · 数学 2022-04-21 Federico Oliva , Daniele Carnevale

We leverage multilevel Monte Carlo (MLMC) to improve the performance of multi-step look-ahead Bayesian optimization (BO) methods that involve nested expectations and maximizations. Often these expectations must be computed by Monte Carlo…

For the last few decades, optimization has been developing at a fast rate. Bio-inspired optimization algorithms are metaheuristics inspired by nature. These algorithms have been applied to solve different problems in engineering, economics,…

人工智能 · 计算机科学 2014-07-17 Muhammad Marwan Muhammad Fuad

Change point detection becomes more and more important as datasets increase in size, where unsupervised detection algorithms can help users process data. To detect change points, a number of unsupervised algorithms have been developed which…

数值分析 · 数学 2021-06-18 Rebecca Gedda , Larisa Beilina , Ruomu Tan