Landscape-Aware Automated Algorithm Configuration using Multi-output Mixed Regression and Classification

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Hauptverfasser: Long, Fu Xing, Frenzel, Moritz, Krause, Peter, Gitterle, Markus, Bäck, Thomas, van Stein, Niki
Format: Preprint
Veröffentlicht: 2024
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author Long, Fu Xing
Frenzel, Moritz
Krause, Peter
Gitterle, Markus
Bäck, Thomas
van Stein, Niki
author_facet Long, Fu Xing
Frenzel, Moritz
Krause, Peter
Gitterle, Markus
Bäck, Thomas
van Stein, Niki
contents In landscape-aware algorithm selection problem, the effectiveness of feature-based predictive models strongly depends on the representativeness of training data for practical applications. In this work, we investigate the potential of randomly generated functions (RGF) for the model training, which cover a much more diverse set of optimization problem classes compared to the widely-used black-box optimization benchmarking (BBOB) suite. Correspondingly, we focus on automated algorithm configuration (AAC), that is, selecting the best suited algorithm and fine-tuning its hyperparameters based on the landscape features of problem instances. Precisely, we analyze the performance of dense neural network (NN) models in handling the multi-output mixed regression and classification tasks using different training data sets, such as RGF and many-affine BBOB (MA-BBOB) functions. Based on our results on the BBOB functions in 5d and 20d, near optimal configurations can be identified using the proposed approach, which can most of the time outperform the off-the-shelf default configuration considered by practitioners with limited knowledge about AAC. Furthermore, the predicted configurations are competitive against the single best solver in many cases. Overall, configurations with better performance can be best identified by using NN models trained on a combination of RGF and MA-BBOB functions.
format Preprint
id arxiv_https___arxiv_org_abs_2409_01446
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Landscape-Aware Automated Algorithm Configuration using Multi-output Mixed Regression and Classification
Long, Fu Xing
Frenzel, Moritz
Krause, Peter
Gitterle, Markus
Bäck, Thomas
van Stein, Niki
Machine Learning
Neural and Evolutionary Computing
In landscape-aware algorithm selection problem, the effectiveness of feature-based predictive models strongly depends on the representativeness of training data for practical applications. In this work, we investigate the potential of randomly generated functions (RGF) for the model training, which cover a much more diverse set of optimization problem classes compared to the widely-used black-box optimization benchmarking (BBOB) suite. Correspondingly, we focus on automated algorithm configuration (AAC), that is, selecting the best suited algorithm and fine-tuning its hyperparameters based on the landscape features of problem instances. Precisely, we analyze the performance of dense neural network (NN) models in handling the multi-output mixed regression and classification tasks using different training data sets, such as RGF and many-affine BBOB (MA-BBOB) functions. Based on our results on the BBOB functions in 5d and 20d, near optimal configurations can be identified using the proposed approach, which can most of the time outperform the off-the-shelf default configuration considered by practitioners with limited knowledge about AAC. Furthermore, the predicted configurations are competitive against the single best solver in many cases. Overall, configurations with better performance can be best identified by using NN models trained on a combination of RGF and MA-BBOB functions.
title Landscape-Aware Automated Algorithm Configuration using Multi-output Mixed Regression and Classification
topic Machine Learning
Neural and Evolutionary Computing
url https://arxiv.org/abs/2409.01446