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:
“Scratching is one of nature’s sweetest gratifications, and the one nearest at hand.”
—Michel de Montaigne (1533–1592)
“In the field of world policy I would dedicate this Nation to the policy of the Good Neighbor—the neighbor who resolutely respects himself and, because he does, respects the rights of others—the neighbor who respects his obligations and respects the sanctity of his agreements in and with a world of neighbors.”
—Franklin D. Roosevelt (1882–1945)
“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.