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Perceptron learning, Delta learning and $LMS$ learning are learning methods which falls under the category of

  1. Error correction learning - learning with a teacher
  2. Reinforcement learning - learning with a critic 
  3. Hebbian learning
  4. Competitive learning - learning without a teacher

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Answer : Error correction learning - learning with a teacher

Error-Correction Learning, used with supervised learning, is the technique of comparing the system output to the desired output value. Perceptron learning, Delta learning and LMS learning are learning methods which falls under this category .

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Perceptron Learning is an example of Supervised training, in which the learning rule is provided with set of examples of proper network behaviour. 
A learning management system (LMS) is a software application for the administration, documentation, tracking, reporting and delivery of e-learning education courses or training programs.Colleges and universities use LMSs to deliver online courses and augment on-campus courses. Corporate training departments use LMSs to deliver online training 
the delta rule is a gradient descent learning rule for updating the weights of the inputs to artificial neurons in single-layer neural network.
So all the three learning falls under the category of Error Correcting Learning

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