1Cademy - Sequence of Predicted Future Values Notation

Learn Before

Predicted Future Value Notation ( $\hat{y}_{i+t}$ )

Formula

Sequence of Predicted Future Values Notation

The notation $\hat{y}_{i+1}, \hat{y}_{i+2}, \hat{y}_{i+3}, \dots$ represents a sequence of predicted future values, often the output of a forecasting or sequence generation model. The hat symbol ( $\hat{\cdot}$ ) over the variable $y$ indicates that it is a predicted or estimated value, as opposed to an observed, ground-truth value. The subscript $i+t$ denotes the value at a future time step $t$ relative to the current step $i$ . For example, $\hat{y}_{i+1}$ is the prediction for the next step in the sequence.