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Consider the following world ( shown from an arial top - down view ) : a ) Consider discretizing this world ( i . e
Consider the following world shown from an arial topdown view:
a Consider discretizing this world ie laying a grid down on top of the world so we see a discrete coordinate system Assume that the discretization is a fine as required but not continuous to preserve the geometry of the shapes present in the world. A convex shape is a shape where if we were to draw a line between any two points of the shape, the line would entirely be contained within the shape. Given a world that contains convex obstacles, is it possible for a vanilla hill climbing agent to get stuck?
b What if we could prove that the objective surface was convex. Would it be possible for a vanilla hill climbing agent to get stuck?
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