Learning, invariance, and generalization in high-order neural networks

Lee C. Giles, Tom Maxwell

Research output: Contribution to journalArticlepeer-review

525 Scopus citations


High-order neural networks have been shown to have impressive computational, storage, and learning capabilities. This performance is because the order or structure of a high-order neural network can be tailored to the order or structure of a problem. Thus, a neural network designed for a particular class of problems becomes specialized but also very efficient in solving those problems. Furthermore, a priori knowledge, such as geometric invariances, can be encoded in high-order networks. Because this knowledge does not have to be learned, these networks are very efficient in solving problems that utilize this knowledge.

Original languageEnglish (US)
Pages (from-to)4972-4978
Number of pages7
JournalApplied optics
Issue number23
StatePublished - Dec 1987

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)
  • Electrical and Electronic Engineering


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