That looks like either Morning Glory or Bindweed. Morning Glory is an annual vine many people plant while Bindweed, a family member of Morning Glory, is an annual weed that is very vigorous. Just trace it to the root and pull that root out.

I looked at Bindweed on google but it's a bit different. The very tip of the plant grows like a sweet potato vine. The only thing that conflicts is the color. My sweet potato vine is lime in color. Also, there is another one growing on the ground.

I will take a close-up picture later.

The one on the ground is standard garden type sweet potato. Your ornimental one should have white sweet potato/yam roots where this should have orange or yellow.