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This paper presents several algorithms for multi-dimensional data clustering. The main difference of the algorithms introduced in this paper comparing to known ones is that the algorithms are multi-agent based and gossip. Hence, the number of computation in each step is not too large even for large data and the computational burden can be distributed. The basic algorithm is described as follows. Each...
A probabilistic analytic center cutting plane method with multiple cuts is proposed for a class of robust feasibility problems which is to find a solution satisfying a set of parameter dependent convex constraints for all possible parameter values. In particular, a new update rule is presented for constructing a smaller polytope which contains the intersection among a previous polytope and half spaces...
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