Statistical Leakage Analysis Using Gaussian Mixture Model

In the design process of advanced semiconductor devices, statistical leakage analysis has emerged as a major step due to uncertainties in the leakage current caused by the process variations. In this paper, a novel statistical leakage analysis which uses Gaussian mixture model (GMM) as the density f...

Full description

Bibliographic Details
Main Authors: Hyunjeong Kwon, Mingyu Woo, Young Hwan Kim, Seokhyeong Kang
Format: Article
Language:English
Published: IEEE 2018-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8466761/
id doaj-4e8f096053b2415a99f37390b0be50f4
record_format Article
spelling doaj-4e8f096053b2415a99f37390b0be50f42021-03-29T21:04:35ZengIEEEIEEE Access2169-35362018-01-016519395195010.1109/ACCESS.2018.28705288466761Statistical Leakage Analysis Using Gaussian Mixture ModelHyunjeong Kwon0https://orcid.org/0000-0003-3356-0357Mingyu Woo1Young Hwan Kim2https://orcid.org/0000-0002-5532-610XSeokhyeong Kang3Department of Electrical Engineering, Pohang University of Science and Technology, Pohang, South KoreaDepartment of Computer Engineering, University of California at San Diego, La Jolla, CA, USADepartment of Electrical Engineering, Pohang University of Science and Technology, Pohang, South KoreaDepartment of Electrical Engineering, Pohang University of Science and Technology, Pohang, South KoreaIn the design process of advanced semiconductor devices, statistical leakage analysis has emerged as a major step due to uncertainties in the leakage current caused by the process variations. In this paper, a novel statistical leakage analysis which uses Gaussian mixture model (GMM) as the density function of leakage current is proposed. To estimate the probability density function, our proposed method clusters the rapidly converged leakage data using the GMM. The GMM can represent any distributions, soit is suitable to estimate the leakage distribution, which varies as the technology node or operating condition changes. In addition, our proposed method (SLA-GMM) defines a terminating condition that guarantees the convergence of the leakage data and prevents the underfitting or overfitting in the GMM modeling process. With sequential addition, SLA-GMM significantly reduced the error that can occur during the addition process. In studies with a goodness-of-fit test, SLA-GMM achieved up to 98% and 94% improvements in the Chi-square static and the K-S static compared with the previous method based on an analytic model.https://ieeexplore.ieee.org/document/8466761/Expectation-maximization algorithmGaussian mixture modelmachine learningstatistical leakage analysis
collection DOAJ
language English
format Article
sources DOAJ
author Hyunjeong Kwon
Mingyu Woo
Young Hwan Kim
Seokhyeong Kang
spellingShingle Hyunjeong Kwon
Mingyu Woo
Young Hwan Kim
Seokhyeong Kang
Statistical Leakage Analysis Using Gaussian Mixture Model
IEEE Access
Expectation-maximization algorithm
Gaussian mixture model
machine learning
statistical leakage analysis
author_facet Hyunjeong Kwon
Mingyu Woo
Young Hwan Kim
Seokhyeong Kang
author_sort Hyunjeong Kwon
title Statistical Leakage Analysis Using Gaussian Mixture Model
title_short Statistical Leakage Analysis Using Gaussian Mixture Model
title_full Statistical Leakage Analysis Using Gaussian Mixture Model
title_fullStr Statistical Leakage Analysis Using Gaussian Mixture Model
title_full_unstemmed Statistical Leakage Analysis Using Gaussian Mixture Model
title_sort statistical leakage analysis using gaussian mixture model
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2018-01-01
description In the design process of advanced semiconductor devices, statistical leakage analysis has emerged as a major step due to uncertainties in the leakage current caused by the process variations. In this paper, a novel statistical leakage analysis which uses Gaussian mixture model (GMM) as the density function of leakage current is proposed. To estimate the probability density function, our proposed method clusters the rapidly converged leakage data using the GMM. The GMM can represent any distributions, soit is suitable to estimate the leakage distribution, which varies as the technology node or operating condition changes. In addition, our proposed method (SLA-GMM) defines a terminating condition that guarantees the convergence of the leakage data and prevents the underfitting or overfitting in the GMM modeling process. With sequential addition, SLA-GMM significantly reduced the error that can occur during the addition process. In studies with a goodness-of-fit test, SLA-GMM achieved up to 98% and 94% improvements in the Chi-square static and the K-S static compared with the previous method based on an analytic model.
topic Expectation-maximization algorithm
Gaussian mixture model
machine learning
statistical leakage analysis
url https://ieeexplore.ieee.org/document/8466761/
work_keys_str_mv AT hyunjeongkwon statisticalleakageanalysisusinggaussianmixturemodel
AT mingyuwoo statisticalleakageanalysisusinggaussianmixturemodel
AT younghwankim statisticalleakageanalysisusinggaussianmixturemodel
AT seokhyeongkang statisticalleakageanalysisusinggaussianmixturemodel
_version_ 1724193612135137280