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An Improved Two-Way Partitioning Algorithm with Stable Performance

An Improved Two-Way Partitioning Algorithm with Stable Performance. Chung-Kuan Cheng Yen-Chuen A. Wei. Motivation. KL based Algorithms highly sensitive to initial conditions Can be solved by multiple runs of the Algorithm

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An Improved Two-Way Partitioning Algorithm with Stable Performance

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  1. An Improved Two-Way Partitioning Algorithm with Stable Performance Chung-Kuan Cheng Yen-Chuen A. Wei

  2. Motivation • KL based Algorithms highly sensitive to initial conditions • Can be solved by multiple runs of the Algorithm • Probability of finding good initial conditions drop exponentially with circuit size

  3. Tools(1) – Ratio Cut • Two way partitioning Algorithm • Finds partitioning with best ratio using RAB = CAB / (|A| x |B|) • Partitioning not necessarily even

  4. Tools(2) - FM • Fiduccia-Mattheyses Partitioning • Move node with best gain that satisfies the balance condition from one partition to the other until all are locked

  5. Step One - Divide • Divide the design into two partitions using ratio cut • Keep applying ratio cut to any partition larger than #Nodes/g • Authors suggest g = 50

  6. Step Two – Conquer • Form Supernodes • Partition Supernodes using FM number_of_reps times using size constraints • Authors suggest 10 for number_of_reps • Choose best results from FM

  7. Step Three – Clean Up • Expand the Supernodes back out • Apply one more run of FM

  8. Experimental Results

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