After closer examination of the extracted patches, I discovered that the sorting of the patches was actually happening by Y-coordinate instead of X. I fixed that bug and then the tests were showing better results.
This figure shows the patches extracted from the 47 training images. Each row shows the 10 patches extracted from a single motorbike training image, now sorted by X-coordinate.
The image below shows the 9 images used for testing (in row major order):
Here are the resulting log probabilities (for location, appearance and sum) for each of the test images:
The location probability of the fifth image, which is a car, is quite high. This can be seen easily from the locations of the extracted patches here (which also shows why the location probability of the ninth image is so low, as should be the case). However, the appearance probability for it is low. In general, the locations of the patches are doing a better job at differentiating the classes. The appearance probability of the fourth bike is very low. Showing it below along with its extracted patches.
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