The mystery plant

This plant is growing in the backyard of my new house.

I don't know what it is. I don't think I've ever seen one before. It's deciduous and kind of viney, with all these puffy, cottony things on it.

If it was up to me, I'd probably call it a "sage vine," because when there's a light breeze, the white puffballs all bob up and down like a conclave of elderly bearded men nodding wisely.

Or maybe I'd call it a "Shih Tzu vine," because it kind of reminds me of those little dogs.

But those aren't it's real name. Anybody know what it is?

I really want to know.

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