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Probabilistic Matrix Factorization for Automated Machine Learning

Published 15 May 2017 in stat.ML | (1705.05355v2)

Abstract: In order to achieve state-of-the-art performance, modern machine learning techniques require careful data pre-processing and hyperparameter tuning. Moreover, given the ever increasing number of machine learning models being developed, model selection is becoming increasingly important. Automating the selection and tuning of machine learning pipelines consisting of data pre-processing methods and machine learning models, has long been one of the goals of the machine learning community. In this paper, we tackle this meta-learning task by combining ideas from collaborative filtering and Bayesian optimization. Using probabilistic matrix factorization techniques and acquisition functions from Bayesian optimization, we exploit experiments performed in hundreds of different datasets to guide the exploration of the space of possible pipelines. In our experiments, we show that our approach quickly identifies high-performing pipelines across a wide range of datasets, significantly outperforming the current state-of-the-art.

Citations (133)

Summary

  • The paper introduces a probabilistic matrix factorization technique to predict ML pipeline performance and uncover latent data structures.
  • It integrates collaborative filtering with Gaussian process priors to enhance Bayesian optimization for efficient pipeline exploration.
  • Empirical results on 553 datasets demonstrate significant performance gains over state-of-the-art systems like auto-sklearn.

Probabilistic Matrix Factorization for Automated Machine Learning

The paper "Probabilistic Matrix Factorization for Automated Machine Learning" presents an innovative approach to automate the creation of ML pipelines that integrate data preprocessing, model selection, and hyperparameter tuning. Addressing the increasingly complex requirements of modern ML techniques, this research proposes utilizing probabilistic matrix factorization to improve meta-learning tasks by leveraging collaborative filtering and Bayesian optimization.

Technical Approach

The core methodology involves constructing an experiment matrix across multiple datasets, where each entry represents the performance of an ML pipeline. The authors propose casting pipeline performance prediction as a matrix factorization problem to identify latent structures within the data. Traditional linear approaches are extended to nonlinear probabilistic matrix factorization using Gaussian process priors, allowing the discovery of latent embeddings that capture the essence of both datasets and ML pipelines. The predictive posterior distribution provided by this model informs Bayesian optimization, aiding in the exploration of the pipeline space to identify high-performing configurations efficiently.

Numerical Results and Evaluation

Experimental results on 553 datasets from OpenML indicate that the proposed approach significantly outperforms existing methods, including the current state-of-the-art AutoML system, auto-sklearn. Through empirical analysis, the model exhibits robustness, accurately predicting pipeline performance even as data becomes sparse (e.g., when only a small fraction of observations are available). A notable advantage over traditional methods is its ability to effectively capture latent variables without relying heavily on pre-existing metadata, thus proving its efficacy in unsupervised settings.

Implications and Future Developments

This research holds substantial implications for automating the selection of machine learning pipelines, presenting a powerful tool for scalable ML system design. It addresses the high-dimensionality challenge present in hyperparameter spaces by discretizing pipelines and utilizing acquisition functions like expected improvement to guide experimentation.

Future work could expand this model by incorporating dataset-specific metadata directly into embeddings or enhancing acquisition functions to account for computational costs associated with large-scale data. Additionally, exploring alternative probabilistic factorization models or extensions using variational autoencoders could further improve the generalizability and efficiency of ML pipeline selection.

This work provides a compelling foundation for advanced AutoML systems, potentially driving innovations in intelligent system design and operational efficiencies in ML applications across various domains.

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