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The margin of error is also called the maximum error of an estimate. The margin of error is the maximum possible or expected difference between the observed sample parameter value and the actual population parameter value. For proportion, it is the maximum difference between the value of sample proportion obtained from the data and the true value of population proportion. As the true value of the population parameter is not known, the margin of error is calculated using the sample statistic.
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Max-Margin Deep Generative Models for (Semi-)Supervised Learning.

Chongxuan Li, Jun Zhu, Bo Zhang

    IEEE Transactions on Pattern Analysis and Machine Intelligence
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    Max-margin deep generative models (mmDGMs) enhance discriminative ability while retaining generative capabilities. This approach improves predictive performance in supervised and semi-supervised learning, achieving state-of-the-art results.

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    Area of Science:

    • Machine Learning
    • Deep Learning
    • Generative Models

    Background:

    • Deep generative models (DGMs) excel at capturing complex data distributions through multilayered representations and inference.
    • However, DGMs often exhibit insufficient discriminative ability for predictive tasks.
    • Existing methods struggle to balance generative power with strong classification performance.

    Purpose of the Study:

    • To introduce max-margin deep generative models (mmDGMs) and their class-conditional variant (mmDCGMs).
    • To enhance the predictive performance of DGMs by integrating the max-margin learning principle.
    • To maintain the generative capabilities of DGMs while improving their discriminative power in supervised and semi-supervised settings.

    Main Methods:

    • Proposed max-margin deep generative models (mmDGMs) and class-conditional variants (mmDCGMs).
    • In semi-supervised learning, utilized max-margin classifier predictions for efficient pseudo-labeling instead of full posterior inference.
    • Introduced max-margin and label-balance regularization terms for unlabeled data.
    • Developed an efficient doubly stochastic subgradient algorithm for optimization.

    Main Results:

    • Max-margin learning significantly boosts the prediction performance of DGMs while preserving generative ability.
    • In supervised learning, mmDGMs using convolutional neural networks are competitive with leading fully discriminative networks.
    • In semi-supervised learning, mmDCGMs achieve state-of-the-art classification results on multiple benchmarks with efficient inference.

    Conclusions:

    • Max-margin learning is a powerful principle for enhancing DGMs' discriminative capabilities.
    • mmDGMs and mmDCGMs offer a robust framework for improved supervised and semi-supervised learning.
    • The proposed models effectively balance generative and discriminative objectives, advancing the field of deep learning.