LSTM Gate Equations › LSTM Gate Equations

In the previous chapter, we explored the intuition behind LSTMs: how the cell state acts as an information highway and how gates selectively control information flow. Now we translate that intuition into precise mathematics. Understanding the exact equations is essential for implementing LSTMs from scratch, debugging unexpected behavior, and reasoning about parameter counts and computational costs.

This chapter presents each gate equation in detail, shows how they combine to update the cell state and hidden state, and walks through a complete implementation. By the end, you'll be able to trace exactly how information flows through an LSTM cell and count every parameter in the architecture.