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  2. Backpropagation - Wikipedia

    en.wikipedia.org/wiki/Backpropagation

    The loss function is a function that maps values of one or more variables onto a real number intuitively representing some "cost" associated with those values. For backpropagation, the loss function calculates the difference between the network output and its expected output, after a training example has propagated through the network.

  3. Backpropagation through time - Wikipedia

    en.wikipedia.org/wiki/Backpropagation_through_time

    Then, the backpropagation algorithm is used to find the gradient of the loss function with respect to all the network parameters. Consider an example of a neural network that contains a recurrent layer and a feedforward layer . There are different ways to define the training cost, but the aggregated cost is always the average of the costs of ...

  4. Sigmoid function - Wikipedia

    en.wikipedia.org/wiki/Sigmoid_function

    A wide variety of sigmoid functions including the logistic and hyperbolic tangent functions have been used as the activation function of artificial neurons. Sigmoid curves are also common in statistics as cumulative distribution functions (which go from 0 to 1), such as the integrals of the logistic density , the normal density , and Student's ...

  5. Delta rule - Wikipedia

    en.wikipedia.org/wiki/Delta_rule

    The perceptron uses the Heaviside step function as the activation function (), and that means that ′ does not exist at zero, and is equal to zero elsewhere, which makes the direct application of the delta rule impossible.

  6. Index calculus algorithm - Wikipedia

    en.wikipedia.org/wiki/Index_calculus_algorithm

    In computational number theory, the index calculus algorithm is a probabilistic algorithm for computing discrete logarithms.Dedicated to the discrete logarithm in (/) where is a prime, index calculus leads to a family of algorithms adapted to finite fields and to some families of elliptic curves.

  7. Rprop - Wikipedia

    en.wikipedia.org/wiki/Rprop

    Rprop, short for resilient backpropagation, is a learning heuristic for supervised learning in feedforward artificial neural networks. This is a first-order optimization algorithm. This algorithm was created by Martin Riedmiller and Heinrich Braun in 1992. [1]

  8. Seppo Linnainmaa - Wikipedia

    en.wikipedia.org/wiki/Seppo_Linnainmaa

    He was born in Pori. [1] He received his MSc in 1970 and introduced a reverse mode of automatic differentiation in his MSc thesis. [2] [3] In 1974 he obtained the first doctorate ever awarded in computer science at the University of Helsinki. [4]

  9. Almeida–Pineda recurrent backpropagation - Wikipedia

    en.wikipedia.org/wiki/Almeida–Pineda_recurrent...

    Almeida–Pineda recurrent backpropagation is an extension to the backpropagation algorithm that is applicable to recurrent neural networks. It is a type of supervised learning . It was described somewhat cryptically in Richard Feynman 's senior thesis, and rediscovered independently in the context of artificial neural networks by both Fernando ...