English
Related papers

Related papers: On Uncertainty Estimation by Tree-based Surrogate …

200 papers

Global optimization of black-box functions is challenging in high dimensions. We introduce a conceptual adaptive random search framework, Branching Adaptive Surrogate Search Optimization (BASSO), that combines partitioning and surrogate…

Optimization and Control · Mathematics 2025-04-28 Pariyakorn Maneekul , Zelda B. Zabinsky , Giulia Pedrielli

We introduce a unified probabilistic framework for solving sequential decision making problems ranging from Bayesian optimisation to contextual bandits and reinforcement learning. This is accomplished by a probabilistic model-based approach…

This paper introduces a practical sampling method for training surrogate models in the context of uncertainty propagation. We propose a heuristic method to uniformly draw samples within highest density regions of the density given by the…

Methodology · Statistics 2025-09-15 Jocelyn Minini , Micha Wasem

Ensemble learning has gained success in machine learning with major advantages over other learning methods. Bagging is a prominent ensemble learning method that creates subgroups of data, known as bags, that are trained by individual…

Neural and Evolutionary Computing · Computer Science 2022-09-07 Giang Ngo , Rodney Beard , Rohitash Chandra

Random forests are popular methods for regression and classification analysis, and many different variants have been proposed in recent years. One interesting example is the Mondrian random forest, in which the underlying constituent trees…

Statistics Theory · Mathematics 2025-11-10 Matias D. Cattaneo , Jason M. Klusowski , William G. Underwood

Tree ensembles are flexible predictive models that can capture relevant variables and to some extent their interactions in a compact and interpretable manner. Most algorithms for obtaining tree ensembles are based on versions of boosting or…

Machine Learning · Statistics 2020-02-21 Gitesh Dawer , Yangzi Guo , Adrian Barbu

Although the methods of bagging and random forests are some of the most widely used prediction methods, relatively little is known about their algorithmic convergence. In particular, there are not many theoretical guarantees for deciding…

Statistics Theory · Mathematics 2019-07-23 Miles E. Lopes

We perform Bayesian optimization using a Gaussian process perspective on Bayesian Additive Regression Trees (BART). Our BART Kernel (BARK) uses tree agreement to define a posterior over piecewise-constant functions, and we explore the space…

Machine Learning · Computer Science 2025-06-09 Toby Boyne , Jose Pablo Folch , Robert M Lee , Behrang Shafei , Ruth Misener

Random forests are decision tree ensembles that can be used to solve a variety of machine learning problems. However, as the number of trees and their individual size can be large, their decision making process is often incomprehensible. In…

Artificial Intelligence · Computer Science 2022-11-22 Nico Potyka , Xiang Yin , Francesca Toni

Random forests have long been considered as powerful model ensembles in machine learning. By training multiple decision trees, whose diversity is fostered through data and feature subsampling, the resulting random forest can lead to more…

Artificial Intelligence · Computer Science 2021-08-12 Gilles Audemard , Steve Bellart , Louenas Bounia , Frédéric Koriche , Jean-Marie Lagniez , Pierre Marquis

Bayesian optimization has recently attracted the attention of the automatic machine learning community for its excellent results in hyperparameter tuning. BO is characterized by the sample efficiency with which it can optimize expensive…

Machine Learning · Computer Science 2017-07-19 Ruben Martinez-Cantin , Michael McCourt , Kevin Tee

Modern stochastic optimization pipelines increasingly rely on learned generative models to represent uncertainty, while downstream decisions are evaluated almost entirely through Monte Carlo scenarios. This shifts the operational object of…

Optimization and Control · Mathematics 2026-05-01 Ziwei Zhang , Jonathan Yu-Meng Li

There has recently been a concerted effort to derive mechanisms in vision and machine learning systems to offer uncertainty estimates of the predictions they make. Clearly, there are enormous benefits to a system that is not only accurate…

Machine Learning · Computer Science 2018-09-05 Seong Jae Hwang , Ronak Mehta , Hyunwoo J. Kim , Vikas Singh

Parallel surrogate optimization algorithms have proven to be efficient methods for solving expensive noisy optimization problems. In this work we develop a new parallel surrogate optimization algorithm (ProSRS), using a novel tree-based…

Optimization and Control · Mathematics 2019-08-22 Chenchao Shou , Matthew West

Bayesian optimisation is a sample-efficient search methodology that holds great promise for accelerating drug and materials discovery programs. A frequently-overlooked modelling consideration in Bayesian optimisation strategies however, is…

It is known that the set of perturbed data is key in robust optimization (RO) modelling. Distributionally robust optimization (DRO) is a methodology used for optimization problems affected by random parameters with uncertain probability…

Optimization and Control · Mathematics 2022-05-09 Yueyao Li , Wenxun Xing

The Distributional Random Forest (DRF) is a recently introduced Random Forest algorithm to estimate multivariate conditional distributions. Due to its general estimation procedure, it can be employed to estimate a wide range of targets such…

Statistics Theory · Mathematics 2023-12-20 Jeffrey Näf , Corinne Emmenegger , Peter Bühlmann , Nicolai Meinshausen

Many control problems require repeated tuning and adaptation of controllers across distinct closed-loop tasks, where data efficiency and adaptability are critical. We propose a hierarchical Bayesian optimization (BO) framework that is…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Sebastian Hirt , Lukas Theiner , Maik Pfefferkorn , Rolf Findeisen

We introduce a novel interpretable tree based algorithm for prediction in a regression setting. Our motivation is to estimate the unknown regression function from a functional decomposition perspective in which the functional components…

Machine Learning · Statistics 2023-08-04 Munir Hiabu , Enno Mammen , Joseph T. Meyer

Machine learning classification techniques have been used widely to recognize the feasible design domain and discover hidden patterns in engineering design. An accurate classification model needs a large dataset; however, generating a large…

Data Analysis, Statistics and Probability · Physics 2021-07-13 Xianping Du , Kai Zhang , Onur Bilgen , Laurent Burlion , Hongyi Xu