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Bayesian optimal experimental design has immense potential to inform the collection of data so as to subsequently enhance our understanding of a variety of processes. However, a major impediment is the difficulty in evaluating optimal…

统计计算 · 统计学 2018-03-14 David J. Price , Nigel G. Bean , Joshua V. Ross , Jonathan Tuke

A Bayesian coreset is a small, weighted subset of data that replaces the full dataset during Bayesian inference, with the goal of reducing computational cost. Although past work has shown empirically that there often exists a coreset with…

机器学习 · 统计学 2023-01-13 Naitong Chen , Zuheng Xu , Trevor Campbell

We study the problem of causal discovery through targeted interventions. Starting from few observational measurements, we follow a Bayesian active learning approach to perform those experiments which, in expectation with respect to the…

机器学习 · 统计学 2019-10-10 Julius von Kügelgen , Paul K Rubenstein , Bernhard Schölkopf , Adrian Weller

Bayesian Optimization (BO) has been widely applied to optimize expensive black-box functions while retaining sample efficiency. However, scaling BO to high-dimensional spaces remains challenging. Existing literature proposes performing…

机器学习 · 计算机科学 2025-08-27 Quanlin Chen , Yiyu Chen , Jing Huo , Tianyu Ding , Yang Gao , Yuetong Chen

While optimal input design for linear systems has been well-established, no systematic approach exists for nonlinear systems where robustness to extrapolation/interpolation errors is prioritized over minimizing estimated parameter variance.…

系统与控制 · 电气工程与系统科学 2025-05-09 Yuhan Liu , Máté Kiss , Roland Tóth , Maarten Schoukens

Bayesian optimization (BO) is a popular approach to optimize expensive-to-evaluate black-box functions. A significant challenge in BO is to scale to high-dimensional parameter spaces while retaining sample efficiency. A solution considered…

机器学习 · 统计学 2020-10-26 Benjamin Letham , Roberto Calandra , Akshara Rai , Eytan Bakshy

State-of-the-art multi-objective optimization often assumes a known utility function, learns it interactively, or computes the full Pareto front-each requiring costly expert input.~Real-world problems, however, involve implicit preferences…

机器学习 · 计算机科学 2025-10-01 Farha A. Khan , Tanmay Chakraborty , Jörg P. Dietrich , Christian Wirth

We introduce fully scalable Gaussian processes, an implementation scheme that tackles the problem of treating a high number of training instances together with high dimensional input data. Our key idea is a representation trick over the…

机器学习 · 统计学 2018-07-16 Aristeidis Panos , Petros Dellaportas , Michalis K. Titsias

Bayesian optimization (BO) is a class of global optimization algorithms, suitable for minimizing an expensive objective function in as few function evaluations as possible. While BO budgets are typically given in iterations, this implicitly…

机器学习 · 计算机科学 2020-03-25 Eric Hans Lee , Valerio Perrone , Cedric Archambeau , Matthias Seeger

Implicit stochastic models, where the data-generation distribution is intractable but sampling is possible, are ubiquitous in the natural sciences. The models typically have free parameters that need to be inferred from data collected in…

机器学习 · 统计学 2020-08-17 Steven Kleinegesse , Michael U. Gutmann

We propose to use Bayesian optimization (BO) to improve the efficiency of the design selection process in clinical trials. BO is a method to optimize expensive black-box functions, by using a regression as a surrogate to guide the search.…

统计方法学 · 统计学 2021-05-20 Jakob Richter , Tim Friede , Jörg Rahnenführer

Optimizing an expensive-to-query function is a common task in science and engineering, where it is beneficial to keep the number of queries to a minimum. A popular strategy is Bayesian optimization (BO), which leverages probabilistic models…

机器学习 · 计算机科学 2019-07-05 Willie Neiswanger , Kirthevasan Kandasamy , Barnabas Poczos , Jeff Schneider , Eric Xing

This article develops a Bayesian optimization (BO) method which acts directly over raw strings, proposing the first uses of string kernels and genetic algorithms within BO loops. Recent applications of BO over strings have been hindered by…

机器学习 · 计算机科学 2020-10-05 Henry B. Moss , Daniel Beck , Javier Gonzalez , David S. Leslie , Paul Rayson

Implicit Processes (IPs) represent a flexible framework that can be used to describe a wide variety of models, from Bayesian neural networks, neural samplers and data generators to many others. IPs also allow for approximate inference in…

机器学习 · 统计学 2022-07-25 Simón Rodríguez Santana , Bryan Zaldivar , Daniel Hernández-Lobato

Spatio-temporal point process models play a central role in the analysis of spatially distributed systems in several disciplines. Yet, scalable inference remains computa- tionally challenging both due to the high resolution modelling…

机器学习 · 统计学 2015-07-07 Botond Cseke , Andrew Zammit Mangion , Tom Heskes , Guido Sanguinetti

Bayesian optimization offers a flexible framework to optimize an objective function that is expensive to be evaluated. A Bayesian optimizer iteratively queries the function values on its carefully selected points. Subsequently, it makes a…

机器学习 · 计算机科学 2019-06-25 Yang Li , Yaqiang Yao

Computational models in fields such as computational neuroscience are often evaluated via stochastic simulation or numerical approximation. Fitting these models implies a difficult optimization problem over complex, possibly noisy parameter…

机器学习 · 统计学 2017-11-03 Luigi Acerbi , Wei Ji Ma

The Hawkes process (HP) has been widely applied to modeling self-exciting events including neuron spikes, earthquakes and tweets. To avoid designing parametric triggering kernel and to be able to quantify the prediction confidence, the…

机器学习 · 计算机科学 2021-02-05 Rui Zhang , Christian Walder , Marian-Andrei Rizoiu

Bayesian posterior distributions arising in modern applications, including inverse problems in partial differential equation models in tomography and subsurface flow, are often computationally intractable due to the large computational cost…

机器学习 · 统计学 2023-02-10 Tapio Helin , Andrew Stuart , Aretha Teckentrup , Konstantinos Zygalakis

Bayesian optimization (BO) iteratively fits a Gaussian process (GP) surrogate to accumulated evaluations and selects new queries via an acquisition function such as expected improvement (EI). In practice, BO often concentrates evaluations…

统计方法学 · 统计学 2026-01-13 Jiguang Li , Hengrui Luo
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