presence of the spruce local minima at least in this particular model the correct explanation based on the landscape and kind of intuition about how the landscape looks like is the following one it's not the presence or absence of spurious local minima nor their number what it really is is the fact that the dynamics goes to the highest lying minima that happens to be the threshold state and what decides whether it finds the solution or not is that these highline states have a negative direction in the in the hashem towards the