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446 (0,152s)

Result

Minimization of Empirical Error over Perceptron Networks

Supervised learning by perceptron networks is investigated as an approximate minimization of empirical error functional.

BA - Obecná matematika

  • 2005
  • D
Result

Integral Transforms Induced by Heaviside Perceptrons

We investigate an integral transform with kernel induced by perceptrons with the Heaviside activation function. Representation theorems are given expressing sufficiently smooth functions as “infinite Heaviside perceptron

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2020
  • C
  • Link
Result

Minimization of Error Functionals over Perceptron Networks

Conditions on the data, which guarantee that a good approximation of global minima of error functionals can be achieved using perceptron networks with a limited complexity, are derived....

BA - Obecná matematika

  • 2008
  • Jx
Result

Evolutionary Learning of Multi-Layer Perceptron Neural Networks

Evolutionary learning algorithms for multilayer neural networks of perceptron type are presented. Several crossover and mutation operators are suited to recombine genotype encoding of neural network parameters. Experiments show properties of...

IN - Informatika

  • 2006
  • D
Result

Artificial Neural Networks in Catalyst Development. Chapter 10

In this paper, main principles of employing multilayer perceptrons for the approximation of unknown functions are outlined, and another possible use of multilayer perceptrons in combinatorial catalysis is indicated ? their use for t...

IN - Informatika

  • 2003
  • C
Result

Representations of Boolean Functions by Perceptron Networks

Limitations of capabilities of shallow perceptron networks are investigated. Lower bounds are derived for growth of numbers of units and sizes of output weights in networks representing Boolean functions of d variables. It is shown that for ...

IN - Informatika

  • 2014
  • D
Result

Limitations of One-Hidden-Layer Perceptron Networks

Limitations of one-hidden-layer perceptron networks to represent efficiently finite mappings is investigated. It is shown that almost any uniformly randomly chosen mapping on a sufficiently large finite domain cannot be tractably represented...

IN - Informatika

  • 2015
  • D
Result

Constructive Lower Bounds on Model Complexity of Shallow Perceptron Networks

Limitations of shallow (one-hidden-layer) perceptron networks are investigated with respect to computing multivariable functions on finite domains. Lower bounds of functions which cannot be computed by signum or Heaviside perceptron...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2018
  • Jimp
  • Link
Result

Approximation by Perceptron Networks.

Recent results on properties of approximation by linear combinations of characteristic functions of half-spaces are surveyed.

BA - Obecná matematika

  • 2002
  • D
Result

Bounds on Sparsity of One-Hidden-Layer Perceptron Networks

Limitations of one-hidden-layer (shallow) perceptron networks to sparsely represent multivariable functions is investigated. A concrete class of functions is described whose computation by shallow perceptron networks requires either...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2017
  • D
  • Link
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