Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce the concept of multilinear partition of a point set V/spl sub/R/sup n/ and the concept of multilinear separability of a function f:V/spl rarr/K={0, ..., k-1}. Based on ll known relationships beten linear partitions and minimal pairs,  derive formulae for the number of multilinear partitions of a point set in general position and of the set K/sup 2/. The (n, k, s)-perceptrons partition the input space V into s+1 regions with s parallel hyperplanes.  obtain results on the capacity of a single (n, k, s)-perceptron, respectively for V/spl sub/R/sup n/ in general position and for V=K/sup 2/. Finally,  describe a fast polynomial-time algorithm for counting the multilinear partitions of K/sup 2/.
['Alioune Ngom', 'Ivan Stojmenovic', 'Jovisa D. Zunic']
I am writing a research paper on a idea On the number of multilinear partitions and the computing capacity of multiple-valued multiple-threshold perceptrons
[{"from": "human", "value": "I am writing a research paper on a idea On the number of multilinear partitions and the computing capacity of multiple-valued multiple-threshold perceptrons"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce the concept of multilinear partition of a point set V/spl sub/R/sup n/ and the concept of multilinear separability of a function f:V/spl rarr/K={0, ..., k-1}. Based on ll known relationships beten linear partitions and minimal pairs,  derive formulae for the number of multilinear partitions of a point set in general position and of the set K/sup 2/. The (n, k, s)-perceptrons partition the input space V into s+1 regions with s parallel hyperplanes.  obtain results on the capacity of a single (n, k, s)-perceptron, respectively for V/spl sub/R/sup n/ in general position and for V=K/sup 2/. Finally,  describe a fast polynomial-time algorithm for counting the multilinear partitions of K/sup 2/."}]