Constraint the numeric outputs softly

1

I want the average of multiple input numbers and output numbers to follow a specific number.
Of course, there are several exisiting methods such as L1 and MSE. But since I’m working on the task dealing with long sequences, I want to induce the model to follow that particular number.
Suppose a given number is 0.3, and the average is 0.4. Then, instead of making the mean precisely 0.3, I would like to give the model a kind of penalty so that it can infer fewer values.

Thank you

2

Your input and output is not very clear to me. Can you provide an example input sequence, the expected output and how the output is computed in this case?