Handwritten number recognition method based on fractional calculus and generalized inverse neural network

A technology of fractional calculus and neural network, which is applied in the field of handwritten digit recognition based on fractional calculus and generalized inverse neural network, can solve the problems of too many nodes in the hidden layer of the network, slow neural network speed, and the need to improve the accuracy , to achieve the effects of high recognition accuracy, enhanced controllability, and good generalization performance

Active Publication Date: 2017-02-15
CHINA UNIV OF PETROLEUM (EAST CHINA)
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Problems solved by technology

[0006] Therefore, in the existing recognition of handwritten digits, the traditional neural network based on the integer order gradient descent method is slow in training and has low accuracy; although the ELM algorithm is f...

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  • Handwritten number recognition method based on fractional calculus and generalized inverse neural network
  • Handwritten number recognition method based on fractional calculus and generalized inverse neural network
  • Handwritten number recognition method based on fractional calculus and generalized inverse neural network

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Embodiment Construction

[0039] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0040] This embodiment uses the handwritten digit recognition method based on fractional calculus and generalized inverse neural network in the present invention to perform pattern recognition on handwritten digits, and compares its training accuracy with the LM algorithm and the USA algorithm. The USA algorithm is an algorithm proposed in the document "Efficient and effective algorithms for training single-hidden-layerneural networks". This algorithm is a neural network learning algorithm that combines the steepest descent method of integer order and generalized inverse.

[0041] Fractional Derivatives and Integrals (or Fraction Calculus, abbreviated as FC) refers to the derivation or integration of functions to non-integer orders of variables. It is a natural extension of classical calculus theory and an important branch of mathematical analysis. All ...

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Abstract

The invention discloses a handwritten number recognition method based on fractional calculus and a generalized inverse neural network. The method comprises the following steps: obtaining a handwritten number image set, and selecting a single hidden layer neural network model according to the handwritten number image set; utilizing fractional calculus and a weight matrix and a weight vector in a generalized inverse calculation single hidden layer neural network; and according to the weight matrix and the weight vector, obtaining neural network parameters, and calculating the sample precision. The method is applied to handwritten number recognition in pattern recognition and is high in recognition precision. The method uses fractional derivatives to optimize the input weight matrix because the fractional derivatives can reflect the performance of a neural network model better than integer derivatives. A regularization term is introduced into the method, and thus the method has better generalization performance and is enhanced in system controllability. Meanwhile, the regularization term can reduce noise existing in a dataset to achieve noise reduction.

Description

technical field [0001] The invention relates to the technical field of pattern recognition, in particular to a handwritten number recognition method based on fractional calculus and generalized inverse neural network. Background technique [0002] With the development of technologies such as artificial intelligence, information retrieval and massive data processing, pattern recognition has become a research hotspot. In pattern recognition, the recognition of handwritten digits has become an urgent problem to be solved because of its complicated calculation and recognition rate. The use of knowledge and experience is essential in the recognition of handwritten digits. However, the acquisition of knowledge is indeed the current bottleneck problem. In particular, the knowledge acquisition process of the human brain is almost a potential process. Neural network as a Methods for extracting knowledge and experience that are not easily articulated are playing an increasingly impor...

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Application Information

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IPC IPC(8): G06K9/00G06K9/62G06N3/08
CPCG06N3/08G06V30/32G06V30/10G06F18/214
Inventor 王健龚晓玲张炳杰柳毓松时贤王延江
Owner CHINA UNIV OF PETROLEUM (EAST CHINA)
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