Skip to main content
Log in

Improvement on Higher-Order Neural Networks for Invariant Object Recognition

  • Published:
Neural Processing Letters Aims and scope Submit manuscript

Abstract

The higher order neural network(HONN) was proved to be able to realize invariant object recognition. By taking the relationship between input units into account, HONN's are superior to other neural models in invariant pattern recognition. However, there are two main problems preventing HONN's from practical applications. One is the combinatorial increase of weight number, that is, as input size increases, the number of weights in a HONN increases exponentially. The other problem is sensitivity to distortion and noise. In this paper, we described a method, in which by modifying the constraints imposed on the weights in HONN's, the performance of a HONN with respect to distortion can be improved considerably.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Mundy, J. L. and Zissorman, A.: Geometric Invariant in Computer Vision, MIT Press, Cambridge, 1992.

    Google Scholar 

  2. Wood, J.: Invariant pattern recognition - a review, Pattern Recognition 29(1) (1996), 1–17.

    Google Scholar 

  3. Giles, C. L. and Maxwell, T.: Learning, invariance and generalization in high-order neural networks, Applied Optics 26(23) (1987), 4972–4978.

    Google Scholar 

  4. Giles, C. L., Griffin, R. D. and Maxwell, T.: Encoding geometric invariant in higher-order neural networks, In: D. Z. Anderson (ed.), Neural Information Processing Systems, Proc. of American Institute of Physics Conference, 1988, pp. 301–309.

  5. Spirkovsks, L. and Reid, M. B.: Connectivity strategies for higher-order neural networks applied to pattern recognition, Proc. Joint Int. Conf. Neural Networks, San Diego, 1990, pp. 121–126.

  6. Spirkovsks, L. and Reid, M. B.: Coarse-coded higher-oder neural networks for PSRI object recognition, IEEE Trans. Neural Networks 4(2) (1993), 276–283.

    Google Scholar 

  7. Perantonis, S. J. and Lisba, P. J. G.: Translation, rotation and scale invariant pattern recognition by higher-order neural networks and moment classifiers, IEEE Trans. Neural Networks 3(2) (1992), 241–256.

    Google Scholar 

  8. Kanaoka, T., Chellappa, R., Yoshitaka, M. and Tomita, S.: A higher-order neural network for distortion invariant pattern recognition, Pattern Recognition Letter 13(12) (1992), 837–841.

    Google Scholar 

  9. Takano, M., Kanaoka, T., Skrzypek, J. and Tomita, S.: A note on a higher-order neural network for distortion invariant pattern recognition, Pattern Recognition Letter 15(6) (1994), 631–635.

    Google Scholar 

  10. Amit, Y. and Geman, D.: Shape quantization and recognition with randomized trees, Neural Computation 9(7) (1997), 1545–1588.

    Google Scholar 

  11. Bishop, C. M.: Neural Networks for Pattern Recognition, Clarendon Press, Oxford, 1995.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

He, Z., Siyal, M.Y. Improvement on Higher-Order Neural Networks for Invariant Object Recognition. Neural Processing Letters 10, 49–55 (1999). https://doi.org/10.1023/A:1018610829733

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018610829733

Navigation