A few quick thoughts:

1. What does the `isoreg` method in the `isotone` R library do with this data?  We have seen multiple situations where differences between our implementation/behavior and the R implementation was not expected/communicated for users, so it would be good to know and potentially address here.

2. I'd like to draw our attention back to this PR's discussion:
https://github.com/scikit-learn/scikit-learn/pull/4185

  In particular, this comment distinguishing between a monotonic optimization of a specific sample* and a model fit from a training sample:
https://github.com/scikit-learn/scikit-learn/pull/4185#issuecomment-72875303  

  For a long time, fit_transform() and fit() returned different results, and we have broken and unbroken this package for different use cases a few times over the last two years (e.g., `slinear` switch).

  

Thanks,
Michael J. Bommarito II, CEO
Bommarito Consulting, LLC

On Wed, Jun 22, 2016 at 11:55 AM, Nelle Varoquaux <nelle.varoquaux@gmail.com> wrote:
I've submitted a ticket: https://github.com/scikit-learn/scikit-learn/issues/6921
with the small example Jonathan wrote up in the email.

Cheers,
N

On 22 June 2016 at 00:27, Gael Varoquaux <gael.varoquaux@normalesup.org> wrote:
Looks like a bug indeed. Could you please put a small code snippet to
enable us to reproduce.

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