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First thing you can do is a simple moving average filter. A moving average is commonly used with time series data to smooth out short-term fluctuations and highlight longer-term trends or cycles (Moving average)

For example:

0 0 0 0 0 0 0 1 2 3 10 8 15 17 7 9 4 6 1 0 1 0 1 0 1 2 3 4 2 1 0 0

These values and the MA = 2 and the MA = 3 are shown in the same image.