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Industrial experimental designs frequently lack optimal space-filling properties, rendering them unrepresentative. This study presents a comprehensive methodology to refine existing designs by enhancing coverage quality while optimizing…

Optimization and Control · Mathematics 2026-04-02 Thomas Bartz-Beielstein , Eva Bartz , Alexander Hinterleitner , Christoph Leitenmeier , Ihab Abd El Hussein

The sequential parameter optimization (SPOT) package for R is a toolbox for tuning and understanding simulation and optimization algorithms. Model-based investigations are common approaches in simulation and optimization. Sequential…

Neural and Evolutionary Computing · Computer Science 2010-06-25 Thomas Bartz-Beielstein

Hyperparameter optimization is crucial to achieving high performance in deep learning. On top of the performance, other criteria such as inference time or memory requirement often need to be optimized due to some practical reasons. This…

Artificial Intelligence · Computer Science 2023-05-16 Shuhei Watanabe

Motivation: Model selection is a ubiquitous challenge in statistics. For penalized models, model selection typically entails tuning hyperparameters to maximize a measure of fit or minimize out-of-sample prediction error. However, these…

Methodology · Statistics 2025-05-29 Priyam Das , Sarah Robinson , Christine B. Peterson

The goal of hyperparameter tuning (or hyperparameter optimization) is to optimize the hyperparameters to improve the performance of the machine or deep learning model. spotPython (``Sequential Parameter Optimization Toolbox in Python'') is…

Machine Learning · Computer Science 2023-06-08 Thomas Bartz-Beielstein

The performance of optimization algorithms relies crucially on their parameterizations. Finding good parameter settings is called algorithm tuning. The sequential parameter optimization (SPOT) package for R is a toolbox for tuning and…

Mathematical Software · Computer Science 2021-03-05 Thomas Bartz-Beielstein , Martin Zaefferer , Frederik Rehbach

We introduce an open source python framework named PHS - Parallel Hyperparameter Search to enable hyperparameter optimization on numerous compute instances of any arbitrary python function. This is achieved with minimal modifications inside…

Machine Learning · Computer Science 2020-02-28 Peter Michael Habelitz , Janis Keuper

Machine learning algorithms such as random forests or xgboost are gaining more importance and are increasingly incorporated into production processes in order to enable comprehensive digitization and, if possible, automation of processes.…

Machine Learning · Computer Science 2021-07-20 Eva Bartz , Martin Zaefferer , Olaf Mersmann , Thomas Bartz-Beielstein

The `spotoptim` package implements surrogate-model-based optimization of expensive black-box functions in Python. Building on two decades of Sequential Parameter Optimization (SPO) methodology, it provides a Kriging-based optimization loop…

Machine Learning · Computer Science 2026-04-16 Thomas Bartz-Beielstein

Multidimensional optimization problems where the objective function and the constraints are multiextremal non-differentiable Lipschitz functions (with unknown Lipschitz constants) and the feasible region is a finite collection of robust…

Optimization and Control · Mathematics 2015-03-19 Yaroslav D. Sergeyev , Paolo Pugliese , Domenico Famularo

Motivated by the problem of tuning hyperparameters in machine learning, we present a new approach for gradually and adaptively optimizing an unknown function using estimated gradients. We validate the empirical performance of the proposed…

Machine Learning · Computer Science 2019-06-05 Weijia Shao , Christian Geißler , Fikret Sivrikaya

Real-world engineering systems are typically compared and contrasted using multiple metrics. For practical machine learning systems, performance tuning is often more nuanced than minimizing a single expected loss objective, and it may be…

Optimization and Control · Mathematics 2016-12-19 Ian Dewancker , Michael McCourt , Samuel Ainsworth

This article considers a linear model in a high dimensional data scenario. We propose a process which uses multiple loss functions both to select relevant predictors and to estimate parameters, and study its asymptotic properties. Variable…

Methodology · Statistics 2020-07-01 Guorong Dai , Ursula U. Müller

This work proposes a framework of benchmark functions designed to facilitate the creation of test cases for numerical optimisation techniques. The framework, written in Python 3, is designed to be easy to install, use, and expand. The…

Numerical Analysis · Mathematics 2024-06-25 Luca Baronti , Marco Castellani

Optimization aims at selecting a feasible set of parameters in an attempt to solve a particular problem, being applied in a wide range of applications, such as operations research, machine learning fine-tuning, and control engineering,…

Neural and Evolutionary Computing · Computer Science 2020-12-03 Gustavo H. de Rosa , Douglas Rodrigues , João P. Papa

Modularity is the fundamental aspect of modern software engineering, however many advanced modularity techniques requires prospective technologies as part of development and operation process. In this paper, we present Refinable Function,…

Programming Languages · Computer Science 2021-09-15 Hiun Kim

The primary objective of flexibility analysis is to identify and define the feasibility region, which represents the range of operational conditions (e.g., variations in process parameters) that ensure safe, reliable, and feasible process…

Optimization and Control · Mathematics 2025-03-11 Segei Kucherenko , Nilay Shah , Oleksiy Klymenko

The direpack package aims to establish a set of modern statistical dimension reduction techniques into the Python universe as a single, consistent package. The dimension reduction methods included resort into three categories: projection…

Computation · Statistics 2020-06-03 Emmanuel Jordy Menvouta , Sven Serneels , Tim Verdonck

In an observational study, matching aims to create many small sets of similar treated and control units from initial samples that may differ substantially in order to permit more credible causal inferences. The problem of constructing…

Methodology · Statistics 2024-06-28 Shichao Han , Samuel D. Pimentel

Multi-objective optimization aims at finding trade-off solutions to conflicting objectives. These constitute the Pareto optimal set. In the context of expensive-to-evaluate functions, it is impossible and often non-informative to look for…

Machine Learning · Statistics 2020-02-20 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert
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