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How to smooth data to a negative curve

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Jonathan Couture
Jonathan Couture on 20 Jul 2021
Edited: Matt J on 20 Jul 2021
I'm looking to smooth out some experimental data.
Some recorded data points go upwards, altough this isn't possible for the given subject. Is there a way to smooth my data and at the same time, make sure that x_i < x_i-1, i.e., always with a negative curve.
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Jonathan Couture
Jonathan Couture on 20 Jul 2021
For a bit more context, I've already used the 'smoothdata' command on it, and this is the output.

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Accepted Answer

Matt J
Matt J on 20 Jul 2021
Edited: Matt J on 20 Jul 2021
Thie File Exchange submission allows you to do spline smoothing with monotonicity constraints:
You can also do Gaussian+constant fitting with the following File Exchange submission, and with bound constraints on the mu parameter:
With mu<=0, that would ensure monotonic descent over the range of your data.

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