@whdawn: Not sure I understand your question, but yes, in an intuitive sense the L2 inner product captures something about "how much two functions overlap," just like the Euclidean inner product captures something about "how much two vectors line up."
Can I understand L2 Inner Product in this way?
It shows the aspect of two functions' overlap
@whdawn: Not sure I understand your question, but yes, in an intuitive sense the L2 inner product captures something about "how much two functions overlap," just like the Euclidean inner product captures something about "how much two vectors line up."