How do I change my site's thumbnail on Yahoo preview?

I have attached an image from my Yahoo preview.

Yahoo seems to call it LINKS PREVIEW.
That image there has been randomly chosen by Yahoo as a thumbnail from my homepage:

More info:

How do I change that thumbnail to something I choose?

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I use yahoo email too since long time.
I think you cannot change it.
The Yahoo email help:
says: "Automatically generate a preview of links."
You can only enable or disable the feature, but not change its parameters.
You cannot change what thumbnail you want, it is chose automatically.
Someone else asked similar question here:
without any answer since few months.
I am afraid is a negative answer.

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