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:
“Some friends play at friendship but a true friend sticks closer than one’s nearest kin.”
—Bible: Hebrew, Proverbs 18:24.
“Sometimes a neighbor whom we have disliked a lifetime for his arrogance and conceit lets fall a single commonplace remark that shows us another side, another man, really; a man uncertain, and puzzled, and in the dark like ourselves.”
—Willa Cather (1873–1947)
“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.