• 제목/요약/키워드: Exponential Model

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활성화 함수 근사를 통한 지수함수 기반 신경망 마스킹 기법 (Masking Exponential-Based Neural Network via Approximated Activation Function)

  • 김준섭;김규상;박동준;박수진;김희석;홍석희
    • 정보보호학회논문지
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    • 제33권5호
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    • pp.761-773
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    • 2023
  • 본 논문에서는 딥러닝 분야에서 사용되는 신경망 모델, 그중에서도 다중 계층 퍼셉트론 모델에 사용되는 지수함수 기반의 활성화 함수를 근사 함수로 대체하고, 근사 함수에 마스킹을 적용함으로써 신경망 모델의 추론 과정의 전력 분석 저항성을 높이는 방법을 제안한다. 이미 학습된 값을 사용하여 연산하는 인공 신경망의 추론 과정은 그 특성상 가중치나 편향 등의 내부 정보가 부채널 공격에 노출될 위험성이 있다. 다만 신경망 모델의 활성화 함수 계층에서는 매우 다양한 함수를 사용하고, 특히 지수함수 기반의 활성화 함수에는 마스킹 기법 등 통상적인 부채널 대응기법을 적용하기가 어렵다. 따라서 본 연구에서는 지수함수 기반의 활성화 함수를 단순한 형태로 근사하여도 모델의 치명적인 성능 저하가 일어나지 않음을 보이고, 근사 함수에 마스킹을 적용함으로써 전력 분석으로부터 안전한 순방향 신경망 모델을 제안하고자 한다.

Interior and Exterior Trimmed Means in an Exponential Model

  • Jungsoo Woo;Changsoo Lee;Joongdae Kim
    • Communications for Statistical Applications and Methods
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    • 제2권1호
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    • pp.176-184
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    • 1995
  • In an exponential distribution, the properties of the interior and exterior trimmed means will be introduced, and reliability estimators using the two trimmed means will be compared with the UMVUE of reliability function through simulations.

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Reliability Estimation of a Two Mixture Exponential Model Using Gibbs sampler

  • Kim, Hee-Cheul;Kim, Pyong-Koo
    • 한국품질경영학회:학술대회논문집
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    • 한국품질경영학회 1998년도 The 12th Asia Quality Management Symposium* Total Quality Management for Restoring Competitiveness
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    • pp.225-232
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    • 1998
  • A Markov Chain Monte Carlo method with data augmentation is developed to compute the features of the posterior distribution. This data augmentation approach facilitates the specification of the transitional measure in the Markov Chain. Bayesian analysis of the mixture exponential model discusses using the Gibbs sampler. Parameter and reliability estimators are obtained. A numerical study is provided.

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지수적 변질과정의 재고시스템에 관한 연구 (Stochastic Inventory Model with an Exponential Decay)

  • 김영민
    • 산업경영시스템학회지
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    • 제9권13호
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    • pp.39-43
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    • 1986
  • This thesis aims to find an optimal inventory of probabilistic model with an exponential decay. This system is divided into the production period and non-production period and the behavior of each period is analyzed by birth and death process. The result of this analysis gives how to decide the economic production quantity and the optimal production cycle.

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A Note on the Strong Mixing Property for a Random Coefficient Autoregressive Process

  • Lee, Sang-Yeol
    • Journal of the Korean Statistical Society
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    • 제24권1호
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    • pp.243-248
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    • 1995
  • In this article we show that a class of random coefficient autoregressive processes including the NEAR (New exponential autoregressive) process has the strong mixing property in the sense of Rosenblatt with mixing order decaying to zero. The result can be used to construct model free prediction interval for the future observation in the NEAR processes.

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Further Approximate Optimum Inspection Intervals

  • Leung, Kit-Nam Francis
    • Industrial Engineering and Management Systems
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    • 제4권2호
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    • pp.123-128
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    • 2005
  • The author derives a general explicit formula and presents an heuristic algorithm for solving Baker’s model. The examples show that this new approximate solution procedure for determining near optimum inspection intervals is more accurate than the ones suggested by Chung (1993) and Vaurio (1994), and is more efficient computationally than the one suggested by Hariga (1996). The construction and solution of the simplest profit model for an exponential failure distribution were presented in Baker (1990), and approximate analytical results were obtained by Chung (1993) and Vaurio (1994). The author will therefore mainly devote the following discussion to the problem of further approximating optimum inspection intervals.

Accelerated Life Testings for System based on a Bivariate Exponential Model

  • Park, Byung-Gu;Yoon, Sang-Chul
    • Communications for Statistical Applications and Methods
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    • 제6권2호
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    • pp.423-432
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    • 1999
  • Accelerated life testing of product is commonly used to reduced test time and costs. In this papers is considered when the product is a two component system with lifetimes following the bivariate exponential distribution of Sarkar(1987) using inverse power rule model. Also we derived the maximum likelihood estimators of parameters for asymptotic normality. We compare the mean square error of the proposed estimator for the life distribution under use conditions stree through Monte Carlo simulation.

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이변량 지수모형에서 병렬시스템의 신뢰도 추정 : 이변량 1종 중단 자료이용 (The Reliability Estimation of Parallel System in Bivariate Exponential Model : Using Bivariate Type 1 Censored Data)

  • 조장식;김희재
    • 품질경영학회지
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    • 제25권4호
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    • pp.79-87
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    • 1997
  • In this paper, we obtain maximum likelihood estimator(MLE) of a parallel system reliability for the Marshall and Olkin's bivariate exponential model with birariate type 1 consored data. The asymptotic normal distribution of the estimator is obtained. Also we construct an a, pp.oximate confidence interval for the reliability based on MLE. We present a numerical study for obtaining MLE and a, pp.oximate confidence interval of the reliability.

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A Study on Estimation of Parameters in Bivariate Exponential Distribution

  • Kim, Jae Joo;Park, Byung-Gu
    • 품질경영학회지
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    • 제15권1호
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    • pp.20-32
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    • 1987
  • Estimation for the parameters of a bivariate exponential (BVE) model of Marshall and Olkin (1967) is investigated for the cases of complete sampling and time-truncated parallel sampling. Maximum likelihood estimators, method of moment estimators and Bayes estimators for the parameters of a BVE model are obtained and compared with each other. A Monte Cario simulation study for a moderate sized samples indicates that the Bayes estimators of parameters perform better than their maximum likelihood and method of moment estimators.

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