Nearest Neighbor Smoother
The idea of the nearest neighbor smoother is the following. For each point X0, take m nearest neighbors and estimate the value of Y(X0) by averaging the values of these neighbors.
Formally, where is the mth closest to X0 neighbor, and
Example:
In this example, X is one-dimensional. For each X0, the is an average value of 16 closest to X0 points (denoted by red). The result is not smooth enough.
Read more about this topic: Kernel Smoother
Famous quotes containing the words nearest, neighbor and/or smoother:
“It is curious how there seems to be an instinctive disgust in Man for his nearest ancestors and relations. If only Darwin could conscientiously have traced man back to the Elephant or the Lion or the Antelope, how much ridicule and prejudice would have been spared to the doctrine of Evolution.”
—Havelock Ellis (1859–1939)
“Do what you know you ought to do. Why should we ever go abroad, even across the way, to ask a neighbor’s advice? There is a nearer neighbor within us incessantly telling us how we should behave. But we wait for the neighbor without to tell us of some false, easier way.”
—Henry David Thoreau (1817–1862)
“For the lips of a loose woman drip honey, and her speech is smoother than oil; but in the end she is bitter as wormwood, sharp as a two-edged sword.”
—Bible: Hebrew, Proverbs 5:3.