The most popular deep learning algorithms sorted by simplicity are:

Logistic Regression
Convolutional Neural Network (CNN)
Recurrent Neural Network (RNN)
Long Short-Term Memory (LSTM)
Generative Adversarial Networks (GANs)
Deep Boltzmann Machines (DBMs)
Autoencoders
Restricted Boltzmann Machines (RBMs)
Deep Belief Networks (DBNs)
Self-Organizing Maps (SOMs).
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