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Learning with Pseudo-Ensembles

Published 16 Dec 2014 in stat.ML, cs.LG, and cs.NE | (1412.4864v1)

Abstract: We formalize the notion of a pseudo-ensemble, a (possibly infinite) collection of child models spawned from a parent model by perturbing it according to some noise process. E.g., dropout (Hinton et. al, 2012) in a deep neural network trains a pseudo-ensemble of child subnetworks generated by randomly masking nodes in the parent network. We present a novel regularizer based on making the behavior of a pseudo-ensemble robust with respect to the noise process generating it. In the fully-supervised setting, our regularizer matches the performance of dropout. But, unlike dropout, our regularizer naturally extends to the semi-supervised setting, where it produces state-of-the-art results. We provide a case study in which we transform the Recursive Neural Tensor Network of (Socher et. al, 2013) into a pseudo-ensemble, which significantly improves its performance on a real-world sentiment analysis benchmark.

Citations (569)

Summary

  • The paper introduces pseudo-ensembles that perturb model parameters to generate a diverse set of child models from a single parent model.
  • The Pseudo-Ensemble Agreement regularizer minimizes output variation, effectively reducing feature co-adaptation and matching dropout performance.
  • Empirical results on MNIST and sentiment analysis showcase enhanced model robustness and superior semi-supervised learning capabilities.

Learning with Pseudo-Ensembles: A Comprehensive Overview

The paper "Learning with Pseudo-Ensembles" presents an exploration into the formalization and utilization of pseudo-ensembles in machine learning. This concept offers a nuanced perspective on model training by introducing a collection of child models derived from a parent model, manipulated through a perturbation process. The approach extends the flexibility of standard ensemble methods, allowing for innovations in both fully supervised and semi-supervised learning scenarios.

Pseudo-Ensembles Defined

Pseudo-ensembles distinguish themselves by perturbing model parameters rather than input data, offering a contrast to traditional ensemble methods like bagging and boosting. Specifically, a pseudo-ensemble is a set of child models created by altering a parent model using a noise process. This abstraction generalizes methods such as dropout, which alters a neural network's structure by random node masking during training.

The flexibility in defining pseudo-ensembles lies in the noise process, which permits diverse forms of perturbations, as long as they are computationally feasible. This ability to manipulate the parent model in elaborate ways is a critical strength of the proposed framework.

Pseudo-Ensemble Agreement Regularizer

Central to the paper's contribution is the Pseudo-Ensemble Agreement (PEA) regularizer, designed to reduce the variation in the outputs of models when subject to noise. This regularizer shows particular efficacy in preventing feature co-adaptation, a common issue where model features perform poorly when not in their usual operating context.

In a fully supervised setting, this regularizer performs comparably to dropout, suggesting that noise-robustness plays a significant role in dropout's effectiveness. The paper also demonstrates that PEA regularization seamlessly transitions to semi-supervised learning, achieving state-of-the-art performance using the MNIST dataset when limited labeled data is available. Notably, this robustness to perturbation improves generalization, a longstanding goal in robust machine learning.

Empirical Evaluation and Results

The paper reports strong empirical outcomes using both fully supervised and semi-supervised learning tasks. For the MNIST dataset, the PEA regularizer achieved results comparable to dropout, underscoring its ability to enhance model robustness and feature independence.

In semi-supervised scenarios, PEA regularization outperformed existing methods on MNIST, achieving significant error reduction even with limited labeled data. Moreover, on a NIPS transfer learning challenge dataset, incorporating pseudo-ensembles further improved performance beyond established benchmarks.

Case Study: Sentiment Analysis

As a demonstration of its versatility, the paper presents a case study applying pseudo-ensembles to the Recursive Neural Tensor Network (RNTN) for sentiment analysis. Here, the pseudo-ensemble framework notably improved performance, achieving competitive results on a benchmark sentiment analysis task and showcasing its potential for enhancing model performance across diverse domains.

Implications and Future Directions

The formalization of pseudo-ensembles opens avenues for developing algorithms that exploit perturbations in model space rather than just input space. The unified framework suggests a potential for advancing semi-supervised and unsupervised learning methods, particularly in domains where labeled data is scarce. The concept could inspire new research in creating robust models capable of leveraging complex data representations efficiently.

In summary, "Learning with Pseudo-Ensembles" contributes a sophisticated framework that integrates well into existing machine learning paradigms, offering new strategies for model regularization and effective learning in various settings. Its implications are profound, with the potential to significantly impact future advancements in artificial intelligence and machine learning methodologies.

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