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A recurrent neural network, or RNN, is a type of artificial neural network designed to work with data that comes in a sequence. This matters because many real-world problems depend on order, such as words in a sentence, notes in music, or temperature readings over time. Unlike a basic neural network that treats each input separately, an RNN keeps a memory of what came before.

That memory helps it make better predictions about what comes next.

Key Facts

  • An RNN processes a sequence one step at a time, such as x1, x2, x3, ...
  • The hidden state stores information from earlier steps in the sequence.
  • A simple RNN update can be written as h_t = tanh(W_x x_t + W_h h_(t-1) + b).
  • The output at a time step can be written as y_t = W_y h_t + c.
  • RNNs are useful for text prediction, speech recognition, translation, music generation, and time-series forecasting.
  • Long short-term memory networks and gated recurrent units improve RNNs by helping them remember important information for longer.

Vocabulary

Recurrent Neural Network
A neural network that processes ordered data by passing information from one step of the sequence to the next.
Sequence
A set of data points where the order matters, such as words in a sentence or values measured over time.
Hidden State
The internal memory of an RNN that carries information from previous inputs to help process the current input.
Time Step
One position in a sequence where the RNN reads an input and updates its hidden state.
Training
The process of adjusting a model's weights so its predictions become closer to the correct answers.

Common Mistakes to Avoid

  • Treating an RNN like a regular feedforward network is wrong because an RNN reuses information from earlier time steps instead of processing each input independently.
  • Ignoring the order of inputs is wrong because changing the order of words, notes, or measurements can change the meaning of the sequence.
  • Assuming the hidden state remembers everything perfectly is wrong because basic RNNs can forget older information, especially in long sequences.
  • Confusing training with prediction is wrong because training updates the model's weights, while prediction uses learned weights to produce an output.

Practice Questions

  1. 1 A sentence has 8 words, and an RNN processes one word per time step. How many time steps are needed to process the full sentence?
  2. 2 A simple RNN has an input vector with 4 numbers and a hidden state with 6 numbers. The matrix W_x connects the input to the hidden state. How many weights are in W_x?
  3. 3 A model must predict the next word in a sentence. Explain why an RNN can use earlier words in the sentence to make a better prediction than a model that only sees the current word.