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Full-Searching-Equivalent Vector Quantization Method Using Two-Bounds Triangle Inequality

Chang C-C., Chen C-C.

Fundamenta Informaticae

2007

Vol. 76, nr 1-2

25-37

The encoding process of vector quantization (VQ) is indeed computational complex and time consuming. Compared with actual Euclidean distance computation, some inequalities can generate estimations with less computation to filter out the impossible codevectors as well as to reduce the computation time. In this paper, we introduce a new estimation for the Euclidean distance using two-bounds triangle inequality. The experimental results show that our proposed scheme can reduce Euclidean distance computation by 71% to 94% for full search. Having been proved, our proposed scheme can reduce the computing time by 42% to 51%.

Some inequalities in 2-inner product spaces

Cho Y., Dragomir S., White A., Kim S.

Demonstratio Mathematica

1999

Vol. 32, nr 3

485-493

In this paper we extend some results on the refinement of Cauchy-Buniakowski-Schwarz's inequality and Aćzel's inequality in inner product spaces to 2-inner product spaces.