In computational learning theory, the teaching dimension of a concept class C is defined to be, where is the minimum size of a witness set for c in C.
The teaching dimension of a finite concept class can be used to give a lower and an upper bound on the membership query cost of the concept class.
In Stasys Jukna's book "Extremal Combinatorics", a lower bound is given for the teaching dimension:
Let C be a concept class over a finite domain X. If the size of C is greater than
then the teaching dimension of C is greater than k.
Famous quotes containing the words teaching and/or dimension:
“Dogmatic toleration is nonsense: I would no more tolerate the teaching of Calvinism to children if I had power to persecute it than the British Raj tolerated suttee in India. Every civilized authority must draw a line between the tolerable and the intolerable.”
—George Bernard Shaw (1856–1950)
“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)