Abstract
Finding nearest neighbour of a given vector in a codebook leads to the following model of searching. In a metric space V, a vector x and a finite subset of vectors S (representing a codebook) are given. We have to find an element of S which is „nearest” to the element x. In what follows, the problem is formulated more exactly and a characterization of optimal search trees for this model of searching is given. It turns out, that balanced quasi-ternary trees are optimal search trees for the discussed problem. The result enables to speed up fording a codebook representation vector of a given acoustic vector, which is important for applications in speech recognition and synthesis.
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© 1997 Springer-Verlag Berlin Heidelberg
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Kopeček, I. (1997). Optimal trees for searching in codebook. In: Plášil, F., Jeffery, K.G. (eds) SOFSEM'97: Theory and Practice of Informatics. SOFSEM 1997. Lecture Notes in Computer Science, vol 1338. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63774-5_126
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DOI: https://doi.org/10.1007/3-540-63774-5_126
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