The defence curve was pooled over content, and for Qt that made it meaningless¶
On the 77-client set, Qt's curve came back below chance at every noise level -- AUC 0.394 at 50 rounds with no mask at all, standard deviation 0.046 over splits. A detector that is reliably worse than a coin is either inverted or measuring something else. Measured directly, with half of Qt's clients as the reference and the other half held out:
| mean cosine with Qt's reference direction | |
|---|---|
| Qt's own held-out clients | +0.4516 |
| outsiders, AOSP and OpenStack together | +0.4540 |
| gap | -0.0024 |
and against the mean of all 39 Qt clients, AOSP's thirteen sit at +0.4897 against OpenStack's +0.4640, with Qt's own at +0.5095 -- a figure inflated by each client's own contribution to the mean it is scored against, which is exactly what the split removes.
So Qt's reference direction is a C++ direction. AOSP's clients are all C++, Qt's are 30 of 39, and a round of outsiders containing an AOSP client scores as high as a round containing a Qt one. The gap is zero and the AUC is noise about it, which happened to fall below 0.5.
This is not a defect in the curve; it is the content confound the per-client attribution already
found, reappearing in the second threat model, and the earlier pooled AOSP figures should be read
with it in mind: AOSP's curve worked because AOSP is one language and most of its outsiders are
not, which is a property of the mixture rather than of AOSP. --content now restricts every
client to one content type, as the aggregate attack already did, and the C++-only curve is
running. The pooled Qt cells are not worth the hours and the run was stopped.
The general statement, which belongs in the paper: a reference direction built from an organization that writes mostly one language is that language's direction, and any defence evaluated against it measures whether noise hides a language rather than whether it hides a member. Holding content fixed is not a refinement of these attacks; it is a precondition for them meaning anything.