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Related Experiment Videos

Flat minima

S Hochreiter1, J Schmidhuber

  • 1Fakultät für Informatik, Technische Universität München, Germany.

Neural Computation
|January 1, 1997
PubMed
Summary
This summary is machine-generated.

We developed a novel algorithm to find simple neural networks that generalize well by searching for flat minima in error functions. This approach effectively prunes network components and outperforms other methods in stock market prediction.

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Area of Science:

  • Machine Learning
  • Computational Neuroscience
  • Artificial Intelligence

Background:

  • Neural networks often suffer from overfitting, limiting their generalization capability.
  • Existing methods for improving generalization may rely on restrictive assumptions like Gaussian distributions or specific weight priors.

Purpose of the Study:

  • To introduce a new algorithm for identifying low-complexity neural networks with enhanced generalization.
  • To leverage the concept of "flat" minima in error functions as an indicator of network simplicity and reduced overfitting.

Main Methods:

  • The algorithm searches for flat minima, defined as large regions in weight space with constant error.
  • It employs a Minimum Description Length (MDL)-based Bayesian argument and a novel generalization error decomposition.

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  • The method utilizes a prior over input-output functions, considering network architecture and training data, and requires second-order derivatives.
  • Main Results:

    • The algorithm automatically prunes network units, weights, and input connections.
    • Experiments with feedforward and recurrent networks demonstrate its effectiveness.
    • In stock market prediction, this flat minimum search significantly outperformed standard backpropagation, weight decay, and Optimal Brain Damage/Surgeon.

    Conclusions:

    • Flat minima in error functions are indicative of simple neural networks with low expected overfitting.
    • The proposed algorithm offers an effective, assumption-light approach to improving neural network generalization.
    • This method shows practical advantages in complex prediction tasks like financial market analysis.