### Some articles on *dimension, embedding dimension*:

Chaos Theory - Distinguishing Random From Chaotic Data

... correlation

... correlation

**dimension**, Lyapunov exponents, etc.) ... Typically one chooses an**embedding dimension**, and investigates the propagation of the error between two nearby states ... If the error looks random, one increases the**dimension**...FNN Algorithm

... is an algorithm for estimating the

... is an algorithm for estimating the

**embedding dimension**... the number of neighbors of a point along a signal trajectory change with increasing**embedding dimension**... In too low an ambedding**dimension**, many of the neighbors will be false, but in an appropriate**embedding dimension**or higher, the neighbors are real ...### Famous quotes containing the word dimension:

“Le Corbusier was the sort of relentlessly rational intellectual that only France loves wholeheartedly, the logician who flies higher and higher in ever-decreasing circles until, with one last, utterly inevitable induction, he disappears up his own fundamental aperture and emerges in the fourth *dimension* as a needle-thin umber bird.”

—Tom Wolfe (b. 1931)

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