Beyond low-order statistical response surfaces: latent variable regression for efficient, highly nonlinear fitting

  • Authors:
  • Amith Singhee;Rob A. Rutenbar

  • Affiliations:
  • Carnegie Mellon University, Pittsburgh, Pennsylvania;Carnegie Mellon University, Pittsburgh, Pennsylvania

  • Venue:
  • Proceedings of the 44th annual Design Automation Conference
  • Year:
  • 2007

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Abstract

The number and magnitude of process variation sources are increasing as we scale further into the nano regime. Today's most successful response surface methods limit us to low-order forms -- linear, quadratic -- to make the fitting tractable. Unfortunately, not all variation-al scenarios are well modeled with low-order surfaces. We show how to exploit latent variable regression ideas to support efficient extraction of arbitrarily nonlinear statistical response surfaces. An implementation of these ideas called SiLVR, applied to a range of analog and digital circuits, in technologies from 90 to 45nm, shows significant improvements in prediction, with errors reduced by up to 21X, with very reasonable runtime costs.