HS WITSENHAUSEN’s scientific contributions

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Publications (1)


The Complexity of the Generalized Lloyd-Max Problem
  • Article

April 1982

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78 Reads

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213 Citations

IEEE Transactions on Information Theory

MR GAREY

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HS WITSENHAUSEN

A simple (combinatorial) special case of the generalized Lloyd-Max (or quantization) problem is shown to be nondeterministic polynomial (NP)-complete. {em A fortiori}, the general problem of communication theory, in its combinatorial forms, has at least that complexity.

Citations (1)


... It has been shown that the clustering problem, in its combinatorial basis, is NPhard [1][2], that is no polynomial algorithm exists which can solve the problem in the optimal way. Therefore, heuristic algorithms have to be practically used which can only find suboptimal solutions by trying the minimization of the SSE function cost. ...

Reference:

Modeling and Analysis of Clustering by Medoids Using Uppaal
The Complexity of the Generalized Lloyd-Max Problem
  • Citing Article
  • April 1982

IEEE Transactions on Information Theory