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Distributed Information Systems (CSCI 5533) Presentation ID: 19

Distributed Information Systems (CSCI 5533) Presentation ID: 19. Clustering Algorithm Submitted to: Dr. Liaw, Morris Submitted by: Kumar, Manoj. Algorithm 5.3 BEA. Input: AA : attribute affinity matrix Output: CA : clustered affinity matrix Begin { initialize; AA is an nxn matrix}

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Distributed Information Systems (CSCI 5533) Presentation ID: 19

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  1. Distributed Information Systems (CSCI 5533)Presentation ID: 19 Clustering Algorithm Submitted to: Dr. Liaw, Morris Submitted by: Kumar, Manoj

  2. Algorithm 5.3 BEA • Input: AA : attribute affinity matrix • Output: CA : clustered affinity matrix • Begin • { initialize; AA is an nxn matrix} • CA(*,1)← AA(*,1) • CA(*,2)← AA(*,2) • index ← 3 • while index ≤ n do {choose the “best” location for attribute AAindex }

  3. begin for i from 1 to index – 1 by 1 do calculate cont (Ai-1, Aindex, Ai) end-for calculate cont (Aindex-1, Aindex, Aindex+1) loc ← placement given by maximum cont value For j from index to loc by -1 do • CA(*,j)← CA(*,j-1) • end-for

  4. CA(*,loc)← AA(*,index) • index ← index + 1 • end-while • Order the rows according to the relative ordering of columns • end. {BEA}

  5. AM= • AM= • =

  6. bond(Ax,Ay) = • AM= • A1 A2 ……. Ai-1 Ai Aj Aj+1…….. An • AM’ AM’’

  7. AMold = AM’ + AM’’ + bond(Ai-1,Ai) + bond(Ai,Aj) +bond(Aj,Ai) + bond(Aj,Aj+1) • = • + • + 2bond(Ai,Aj)

  8. AMnew = AM’ + AM’’ + bond(Ai,Ak) + bond(Ak,Ai) + bond(Ak,Aj) • + bond(Aj,Ak) • AMnew = AM’ + AM’’ + 2bond(Ai,Ak) + 2bond(Ak,Aj) • Cont(Ai,Ak,Aj) = AMnew – Amold • = 2bond(Ai,Ak) + 2bond(Ak,Aj) - 2bond(Ai,Aj)

  9. Questions ??

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