Echo State Property

The Echo State Property refers to a characteristic of certain neural network systems called reservoir networks. It means that when an input signal is introduced, the network’s internal state reflects the history of that input sequence in a stable way. Over time, the network "echoes" past inputs, but these echoes fade gradually, ensuring new inputs influence the state without being overwhelmed. This stability allows the system to reliably process and predict sequences by maintaining a balanced memory of past information, making it effective for tasks like time series analysis and pattern recognition.