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  2. Activation function - Wikipedia

    en.wikipedia.org/wiki/Activation_function

    When the activation function is non-linear, then a two-layer neural network can be proven to be a universal function approximator. [6] This is known as the Universal Approximation Theorem . The identity activation function does not satisfy this property.

  3. Multilayer perceptron - Wikipedia

    en.wikipedia.org/wiki/Multilayer_perceptron

    It was one of the first deep learning methods, used to train an eight-layer neural net in 1971. [14] [15] [16] In 1967, Shun'ichi Amari reported [17] the first multilayered neural network trained by stochastic gradient descent, was able to classify non-linearily separable pattern classes. Amari's student Saito conducted the computer experiments ...

  4. Large width limits of neural networks - Wikipedia

    en.wikipedia.org/wiki/Large_width_limits_of...

    The number of neurons in a layer is called the layer width. Theoretical analysis of artificial neural networks sometimes considers the limiting case that layer width becomes large or infinite. This limit enables simple analytic statements to be made about neural network predictions, training dynamics, generalization, and loss surfaces.

  5. Types of artificial neural networks - Wikipedia

    en.wikipedia.org/wiki/Types_of_artificial_neural...

    A probabilistic neural network (PNN) is a four-layer feedforward neural network. The layers are Input, hidden pattern/summation, and output. In the PNN algorithm, the parent probability distribution function (PDF) of each class is approximated by a Parzen window and a non-parametric function.

  6. Neural network (machine learning) - Wikipedia

    en.wikipedia.org/wiki/Neural_network_(machine...

    In machine learning, a neural network (also artificial neural network or neural net, abbreviated ANN or NN) is a model inspired by the structure and function of biological neural networks in animal brains. [1] [2] An ANN consists of connected units or nodes called artificial neurons, which loosely model the neurons in the brain. Artificial ...

  7. Universal approximation theorem - Wikipedia

    en.wikipedia.org/wiki/Universal_approximation...

    Indeed, certain neural network families can directly apply the Kolmogorov–Arnold theorem to yield a universal approximation theorem. Robert Hecht-Nielsen showed that a three-layer neural network can approximate any continuous multivariate function. [22] This was extended to the discontinuous case by Vugar Ismailov. [23]

  8. Layer (deep learning) - Wikipedia

    en.wikipedia.org/wiki/Layer_(Deep_Learning)

    The first type of layer is the Dense layer, also called the fully-connected layer, [1] [2] [3] and is used for abstract representations of input data. In this layer, neurons connect to every neuron in the preceding layer. In multilayer perceptron networks, these layers are stacked together.

  9. Bidirectional recurrent neural networks - Wikipedia

    en.wikipedia.org/wiki/Bidirectional_recurrent...

    Bidirectional recurrent neural networks (BRNN) connect two hidden layers of opposite directions to the same output. With this form of generative deep learning , the output layer can get information from past (backwards) and future (forward) states simultaneously.