Design Thinking Meets Lean Startup

Where is your heart: in Design Thinking? or in Agile? Both concepts are used a lot in the context of innovation and excellence. I heard a lot of arguments from both "camps" which is superior and that the one is a subset of the other - rich discussions.

What most can agree is that the underlying concepts are pretty similar - why not use both? In programs I have conducted - especially in order to become excellent - I have combined them to accelerate creativity and speed.

There is a huge overlap: both concepts are about empowerment, experimenting, minimal viable products, fundamental concepts of agility (arguably from Lean Manufacturing).

Where they distinguish are in two particular areas; and it is good to understand their strength apply where most valuable. Here is how I make the simple distinction.
> Create Ideas: human-centric Design Thinking helps to go deeper in your understanding of the customers and stakeholders.
> Execute Ideas: the strong focus on iterations in Agile, combined with the scientific approach of measuring assumptions are great to accelerate momentum when solutions are implemented.

How do you see the two concepts play with each other?