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:
“This avidity alone, of acquiring goods and possessions for ourselves and our nearest friends, is insatiable, perpetual, universal, and directly destructive of society.”
—David Hume (1711–1776)
“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)
“The words of his mouth were smoother than butter, but war was in his heart: his words were softer than oil, yet were they drawn swords.
Cast thy burden upon the Lord, and he shall sustain thee: he shall never suffer the righteous to be moved.”
—Bible: Hebrew Psalm LV (l. LV, 21–22)