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Like any other centralized control algorithm, the centralized voting algorithm has the drawback of overloading the center of control, which is the weakest point of the architecture. The failure of the center causes the overall system to collapse. To overcome issues of load balancing and improve resiliency, Ellis also proposed a distributed voting algorithm, which we discuss next.

5 If the current data point lies inside any cluster s range of in uence: (a) Calculate the distance of the selected data point to all those cluster centers belonging to clusters the new sample lies inside by using Euclidian distance measure (b) Elicit the cluster center that is closest to the data point by taking the minimum over all calculated distances ! winner cluster cwin (c) Set mindist 0 (this forces the algorithm that no new cluster is generated) 6 Else If the current data point lies outside of all clusters range of in uence: (a) Calculate the distance of ~ to the surface of all clusters x (b) Elicit the cluster center that is closest to the data point by taking the minimum over all calculated distances ! winner cluster cwin (c) Set mindist as the minimum over all distances 7.

If mindist ! r: (a) Increase the number of clusters from C to C 1 (b) Start a new cluster at the k 1th point, hence,~C ~k 1 with c the center of the new c x cluster 0 (c) Set the width of the new cluster to zero, hence, ~C ~ s (d) Transfer cluster centers and widths back to original range (e) Project the new cluster to the axes to from the antecedent part (fuzzy sets) of the new rule; hereby set the width of the fuzzy set in the ith dimension to e*range xi with e a small value ^ (f) Set the linear consequent parameter ~ C of the new rule to ~ w 0 (g) Set the inverse covariance matrix PC of the new rule to aI 8.

ELSE: (a) Update the p center components of the winner cluster cwin by cwin new x cwin old hwin ~k 1 cwin old with the choice of an adaptive learning gain 0:5 hwin kwin with kwin the number of data samples forming the winning cluster (b) Update the p width components of winner cluster cwin by using the recursive variance update formula [51] (c) Transfer cluster centers and widths back to original range (d) Project winner cluster onto the axes to update the antecedent part of the rule belonging to the winner cluster; assure that the width of the fuzzy set in the ith dimension is equal or bigger than e*range xi .

(e) Correct the linear parameter vector of consequent functions and the inverse covariance matrix of the rule corresponding to the winning cluster: ^ ^ ~ win k ~ win k ~win k w w d Pwin k Pwin k Dwin k 5:5.

can be built from different sources. The source host is basically the root of the spanning tree and the spanning tree branches out from the source. If there are many sources, there are many roots. If there are many multicasts, each has its own multicast tree. CBT builds a single forwarding tree that is shared by all members of a group. The core of this tree (the root) is based on the core router and not the source of the multicast datagram. CBT works on a concept that builds a backbone consisting of at least one core router. Multicast messages for a group are transmitted in this direction. Any host that wishes to receive multicast information for a specific group transmits a Join message and transmits it towards the core backbone. Each source must be configured with at least one IP address of the core routers. The core consists of at least one router that acts as the core. There can be multiple routers acting as core routers and, if so, the links that connect these core routers become the core backbone. If there are multiple groups in the network, then multiple trees may be built. It is not the concept of one multicast tree for all groups. However, there is only one multicast tree for each group. After issuing the Join message, each intermediate router marks the interface and multicast group and then forwards the message towards the core. In doing this, the router is able to forward multicast data towards the core for that group. When the core routers receive this data, they will multicast the data back out all ports, except the one on which it received the data.