Multi-degree of Freedom Neurons Geometric Computation Based on Clifford Algebra

The cognitive algorithm of multi-degree of freedom neurons (MDFNs) was an important implementation method for Bionic Pattern Recognition (BPR), which was computed by high dimensional Euclidean geometrics. This paper proposed a new method for computing the MDFNs based on Clifford algebra, and gave out the corresponding proves to this method. Especially, the computing expressions for Clifford distant between a point and a multi-dimensional simplexes in the Clifford space. Comparing to that of being in high dimensional Euclidean geometrics space, the Clifford algebra-based method was more reducing the computational complexity of MDFNs, and was independent of coordinate.