Efficient High-Sigma Yield Analysis based on Deep Ensemble Framework with Active learing and Augmentation

Younghun Park1, KIM KANG HUN2, Jun Seo Jung1, Juho Kim1
1Sogang University, 2Sogang Univ


Abstract

To analyze high-sigma yields of complex circuits, surrogate model methods based on Bayesian optimization are widely used. Although Bayesian optimization using Gaussian Process (GP) regression accurately samples from failure regions through uncertainty quantification, it faces computational challenges in high-dimensional spaces, requiring dimension reduction or separate non-linear modeling that may lead to loss of information. To address this limitation, we adopted Deep Ensemble as Bayesian Neural Network (BNN) approximation which efficiently quantifies uncertainty and estimates yield in high dimensions. For improved training efficiency, combined batch Bayesian Optimization (BO) and Bayesian Active Learning (BAL) are used for adaptive sampling to exploit worst case and high-uncertainty failure boundary regions, while feature sensitivity-based data augmentation to increase the number sample in rare failure region. Experiments on circuits across different design domains confirm the effectiveness of the proposed yield analysis framework, ranging 1.7~3.8 times faster runtime compared to existing approaches with similar accuracy.