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Related Experiment Videos

A homomorphic neural network for modeling and prediction.

Maciej Pedzisz1, Danilo P Mandic

  • 1Imperial College London, Department of Electrical and Electronic Engineering, Communications and Signal Processing Group, London SW7 2AZ, U.K. m.pedzisz@imperial.ac.uk

Neural Computation
|December 19, 2007
PubMed
Summary

A novel homomorphic feedforward network (HFFN) offers a viable alternative for nonlinear adaptive filtering. This new model excels in online learning scenarios with small- to medium-scale datasets, demonstrating competitive performance.

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Area of Science:

  • Signal Processing
  • Machine Learning
  • Artificial Neural Networks

Background:

  • Nonlinear adaptive filtering is crucial for many signal processing applications.
  • Existing methods like sigmoidal feedforward networks (FFNs) have limitations in certain learning scenarios.

Purpose of the Study:

  • Introduce a novel homomorphic feedforward network (HFFN) for nonlinear adaptive filtering.
  • Evaluate the performance and convergence of the HFFN against traditional FFNs.

Main Methods:

  • Developed a two-layer feedforward architecture with exponential hidden layer and logarithmic preprocessing.
  • Implemented gradient-based learning for the HFFN architecture.
  • Conducted simulations on artificial and real-life data for performance comparison.

Main Results:

  • The HFFN architecture models generalized Volterra systems and homomorphic filters.
  • Gradient-based learning was successfully applied, with practical considerations for parameter tuning addressed.
  • HFFN demonstrated comparable or superior performance to FFNs, particularly in online learning on small/medium datasets.

Conclusions:

  • The proposed HFFN is an effective alternative for nonlinear adaptive filtering.
  • HFFN shows particular promise for online learning tasks with limited data.
  • Further research can explore optimal parameter selection and initialization strategies for HFFN.