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I'm trying to reproduce a research with greyscale images instead of colour images.

I have found that there are pre-trained networks, like VGG16, with ImageNet. But that dataset has colour images, and I can't use it because I'm going to use greyscale images.

Is there any pre-trained network with greyscale images?

Failing that, I can also train a network with a greyscale image dataset but I can't find any.

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Use ImageNet, convert every image to grayscale and train VGG16.

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Your problem is that your dataset has one value per pixel, whereas ImageNet expects 3? Just convert your data to "color images" by passing the same value on all 3 (RGB) channels.

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