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Hyperparameters and Tuning Strategies for Random Forest (1804.03515v2)

Published 10 Apr 2018 in stat.ML and cs.LG

Abstract: The random forest algorithm (RF) has several hyperparameters that have to be set by the user, e.g., the number of observations drawn randomly for each tree and whether they are drawn with or without replacement, the number of variables drawn randomly for each split, the splitting rule, the minimum number of samples that a node must contain and the number of trees. In this paper, we first provide a literature review on the parameters' influence on the prediction performance and on variable importance measures. It is well known that in most cases RF works reasonably well with the default values of the hyperparameters specified in software packages. Nevertheless, tuning the hyperparameters can improve the performance of RF. In the second part of this paper, after a brief overview of tuning strategies we demonstrate the application of one of the most established tuning strategies, model-based optimization (MBO). To make it easier to use, we provide the tuneRanger R package that tunes RF with MBO automatically. In a benchmark study on several datasets, we compare the prediction performance and runtime of tuneRanger with other tuning implementations in R and RF with default hyperparameters.

Citations (1,218)

Summary

  • The paper introduces systematic tuning strategies, including grid, random search, and SMBO, to improve Random Forest performance.
  • It details the impact of hyperparameters such as mtry, sample size, and nodesize on prediction accuracy and model stability.
  • The tuneRanger package is presented as an effective tool that automates tuning and outperforms default parameter settings.

Hyperparameters and Tuning Strategies for Random Forest

The paper "Hyperparameters and Tuning Strategies for Random Forest" by Philipp Probst, Marvin Wright, and Anne-Laure Boulesteix presents a detailed examination of the random forest (RF) algorithm's hyperparameters and introduces strategies for their tuning. This exploration is critical for practitioners seeking to optimize RF performance beyond the often satisfactory default settings provided by standard software packages.

Literature Review and Hyperparameter Influence

The random forest algorithm requires various hyperparameters to be set by the user, including the number of trees, the fraction of observations drawn for each tree, the method of drawing these observations (with or without replacement), the number of variables considered for each split, the splitting rule, the minimum node size, and others. The paper provides a comprehensive literature review on these hyperparameters, detailing their influence on prediction performance and variable importance measures.

Key hyperparameters discussed include:

  1. Number of Trees (ntree):
    • It is fundamental to set the number of trees high to improve performance and the stability of variable importance measures. However, the computational cost grows linearly with the number of trees.
  2. Number of Candidate Variables (mtry):
    • The mtry parameter significantly impacts RF performance, with the optimal value depending on the dataset's characteristics. Generally, mtry is set to √p for classification and p/3 for regression.
  3. Sample Size (sample size):
    • This parameter affects tree diversity. Lower sample sizes generally lead to less correlated trees, which can improve aggregated prediction performance but may reduce individual trees' accuracy.
  4. Node Size (nodesize):
    • Node size determines a tree's depth. Smaller node sizes result in more complex trees but may risk overfitting, whereas larger values simplify trees but may underfit.
  5. Splitting Rule:
    • The standard splitting rule in RF uses the Gini impurity or variance reduction, but alternatives like conditional inference forests (CIF) avoid potential biases associated with these traditional methods.

Tuning Strategies

A significant part of the paper is dedicated to describing and comparing various tuning strategies for RF hyperparameters. The authors emphasize that while the default settings work satisfactorily in many scenarios, tuning can lead to notable performance improvements, especially for parameters like mtry and sample size.

Systematic Tuning Approaches:

  1. Grid Search:
    • This brute-force method evaluates combinations of predefined parameter values. Although exhaustive, it becomes computationally expensive for large parameter spaces.
  2. Random Search:
    • Random search improves efficiency by randomly sampling hyperparameter combinations, often outperforming grid search in finding optimal settings faster.
  3. Sequential Model-Based Optimization (SMBO):
    • SMBO iteratively builds a surrogate model to predict performance and guides the search towards promising areas in the hyperparameter space using techniques like Expected Improvement (EI).

tuneRanger Package

In response to the complexity and necessity of proper hyperparameter tuning, the authors developed the tuneRanger package. It automates the SMBO process for RF, focusing on parameters such as mtry, sample size, and node size, while using out-of-bag error estimates for efficient evaluation. The package is user-friendly, designed to simplify the tuning process for non-expert users while providing significant performance gains in practical applications.

Benchmark Studies

Extensive benchmark studies conducted on several datasets underscore the benefits of hyperparameter tuning. The tuneRanger package consistently improves performance over default settings and other tuning implementations such as mlrHyperopt, caret, and tuneRF, particularly in terms of metrics like mean misclassification error (MMCE), AUC, Brier score, and logarithmic loss.

Implications and Future Directions

The implications of this paper are both practical and theoretical. Practitioners can achieve better model performance by employing systematic tuning strategies, thus ensuring the RF's full potential is realized. Theoretically, understanding the interaction and impact of hyperparameters on RF can guide the development of more robust and efficient learning algorithms.

Future developments in AI and machine learning will likely continue to focus on automating and improving hyperparameter tuning processes. The insights provided by this paper contribute to that trajectory by highlighting areas for further research, such as the influence of hyperparameters on variable importance and the need for neutral comparison studies to evaluate new methods' validity objectively.

In summary, "Hyperparameters and Tuning Strategies for Random Forest" serves as a crucial resource for those aiming to optimize RF models and enhances the broader understanding of hyperparameter interactions within machine learning algorithms.

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