so it's not as simple as the picture I showed you on the colorful one on the previous slide here's an illustration from a paper that came out about two or three years ago now where the authors tried to visualize the landscape of a of a neural network with millions of parameters but they collapsed that down onto just two-dimensional space so that we can visualize it and you can see that the landscape is incredibly complex it's not easy there are many local minima where the gradient descent algorithm could get stuck into and