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  2. Vanishing gradient problem - Wikipedia

    en.wikipedia.org/wiki/Vanishing_gradient_problem

    The gradient thus does not vanish in arbitrarily deep networks. Feedforward networks with residual connections can be regarded as an ensemble of relatively shallow nets. In this perspective, they resolve the vanishing gradient problem by being equivalent to ensembles of many shallow networks, for which there is no vanishing gradient problem. [17]

  3. Long short-term memory - Wikipedia

    en.wikipedia.org/wiki/Long_short-term_memory

    Long short-term memory (LSTM) [1] is a type of recurrent neural network (RNN) aimed at mitigating the vanishing gradient problem [2] commonly encountered by traditional RNNs. Its relative insensitivity to gap length is its advantage over other RNNs, hidden Markov models , and other sequence learning methods.

  4. Residual neural network - Wikipedia

    en.wikipedia.org/wiki/Residual_neural_network

    Sepp Hochreiter discovered the vanishing gradient problem in 1991 [20] and argued that it explained why the then-prevalent forms of recurrent neural networks did not work for long sequences. He and Schmidhuber later designed the LSTM architecture to solve this problem, [ 4 ] [ 21 ] which has a "cell state" c t {\displaystyle c_{t}} that can ...

  5. Backpropagation - Wikipedia

    en.wikipedia.org/wiki/Backpropagation

    The local minimum convergence, exploding gradient, vanishing gradient, and weak control of learning rate are main disadvantages of these optimization algorithms. The Hessian and quasi-Hessian optimizers solve only local minimum convergence problem, and the backpropagation works longer.

  6. Recurrent neural network - Wikipedia

    en.wikipedia.org/wiki/Recurrent_neural_network

    This problem is also solved in the independently recurrent neural network (IndRNN) [87] by reducing the context of a neuron to its own past state and the cross-neuron information can then be explored in the following layers. Memories of different ranges including long-term memory can be learned without the gradient vanishing and exploding problem.

  7. Activation function - Wikipedia

    en.wikipedia.org/wiki/Activation_function

    Nontrivial problems can be solved using only a few nodes if the activation function is nonlinear. [ 1 ] Modern activation functions include the logistic ( sigmoid ) function used in the 2012 speech recognition model developed by Hinton et al; [ 2 ] the ReLU used in the 2012 AlexNet computer vision model [ 3 ] [ 4 ] and in the 2015 ResNet model ...

  8. Neural network (machine learning) - Wikipedia

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

    Convolutional neural networks that have proven particularly successful in processing visual and other two-dimensional data; [154] [155] where long short-term memory avoids the vanishing gradient problem [156] and can handle signals that have a mix of low and high frequency components aiding large-vocabulary speech recognition, [157] [158] text ...

  9. Generative adversarial network - Wikipedia

    en.wikipedia.org/wiki/Generative_adversarial_network

    In such case, the generator cannot learn, a case of the vanishing gradient problem. [ 13 ] Intuitively speaking, the discriminator is too good, and since the generator cannot take any small step (only small steps are considered in gradient descent) to improve its payoff, it does not even try.