• Title/Summary/Keyword: Vector analysis

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On the Plug-in Estimator and its Asymptotic Distribution Results for Vector-Valued Process Capability Index Cpmk (2차원 벡터 공정능력지수 Cpmk의 추정량과 극한분포 이론에 관한 연구)

  • Cho, Joong-Jae;Park, Byoung-Sun
    • Communications for Statistical Applications and Methods
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    • v.18 no.3
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    • pp.377-389
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    • 2011
  • A higher quality level is generally perceived by customers as improved performance by assigning a correspondingly higher satisfaction score. The third generation index $C_{pmk}$ is more powerful than two useful indices $C_p$ and $C_{pk}$ that have been widely used in six sigma industries to assess process performance. In actual manufacturing industries, process capability analysis often entails characterizing or assessing processes or products based on more than one engineering specification or quality characteristic. Since these characteristics are related, it is a risky undertaking to represent the variation of even a univariate characteristic by a single index. Therefore, the desirability of using vector-valued process capability index(PCI) arises quite naturally. In this paper, we consider more powerful vector-valued process capability index $C_{pmk}$ = ($C_{pmkx}$, $C_{pmky}$)$^t$ that consider the univariate process capability index $C_{pmk}$. First, we examine the process capability index $C_{pmk}$ and plug-in estimator $\hat{C}_{pmk}$. In addition, we derive its asymptotic distribution and variance-covariance matrix $V_{pmk}$ for the vector valued process capability index $C_{pmk}$. Under the assumption of bivariate normal distribution, we study asymptotic confidence regions of our vector-valued process capability index $C_{pmk}$ = ($C_{pmkx}$, $C_{pmky}$)$^t$.

Quantitative analysis on the technical interoperability between railway systems for the operation of trans-continental railways (대륙철도 운행을 위한 기술적 상호운용성에 대한 계량적 분석)

  • Park, Su-Myung;Park, Eun-Kyung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.12
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    • pp.645-652
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    • 2018
  • Recently, as South Korea has joined the OSJD, the rules of the OSJD need to be applied to South Korea. Therefore, the railways are connected to the continent railway in terms of software, but the railway systems in neighboring countries have been developed and operated for a long time, and are quite different with some restrictions in terms of hardware. Therefore, this study analyzed the current railway systems of neighboring countries' based on the TSI used in Europe for technical interoperability. A real operation with the operation models within the specific route was assumed and vector functions for the Infrastructure vector & Rolling stock vector were produced. The IOP value was calculated by working out the interfacing matrix value between the infrastructure vector and rolling stock vector. As a result of calculating the IOP in a specific route, which is from Busan South Korea to Vladivostok with the diesel locomotive hauling freight cars, the value was only 22%, which is fairly low in terms of the interoperability. In other words, there are 77.8% restricting items preventing their interoperability. Such restricted causes should be improved to increase the technical interoperability in the long term. Moreover, and when railway systems are constructed and manufactured, it is important to keep IOP 100% to increase the operating efficiency in continental railways.

Nonlinear Vector Alignment Methodology for Mapping Domain-Specific Terminology into General Space (전문어의 범용 공간 매핑을 위한 비선형 벡터 정렬 방법론)

  • Kim, Junwoo;Yoon, Byungho;Kim, Namgyu
    • Journal of Intelligence and Information Systems
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    • v.28 no.2
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    • pp.127-146
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    • 2022
  • Recently, as word embedding has shown excellent performance in various tasks of deep learning-based natural language processing, researches on the advancement and application of word, sentence, and document embedding are being actively conducted. Among them, cross-language transfer, which enables semantic exchange between different languages, is growing simultaneously with the development of embedding models. Academia's interests in vector alignment are growing with the expectation that it can be applied to various embedding-based analysis. In particular, vector alignment is expected to be applied to mapping between specialized domains and generalized domains. In other words, it is expected that it will be possible to map the vocabulary of specialized fields such as R&D, medicine, and law into the space of the pre-trained language model learned with huge volume of general-purpose documents, or provide a clue for mapping vocabulary between mutually different specialized fields. However, since linear-based vector alignment which has been mainly studied in academia basically assumes statistical linearity, it tends to simplify the vector space. This essentially assumes that different types of vector spaces are geometrically similar, which yields a limitation that it causes inevitable distortion in the alignment process. To overcome this limitation, we propose a deep learning-based vector alignment methodology that effectively learns the nonlinearity of data. The proposed methodology consists of sequential learning of a skip-connected autoencoder and a regression model to align the specialized word embedding expressed in each space to the general embedding space. Finally, through the inference of the two trained models, the specialized vocabulary can be aligned in the general space. To verify the performance of the proposed methodology, an experiment was performed on a total of 77,578 documents in the field of 'health care' among national R&D tasks performed from 2011 to 2020. As a result, it was confirmed that the proposed methodology showed superior performance in terms of cosine similarity compared to the existing linear vector alignment.

Bayesian Analysis of GLEM with Half-Normal Prior

  • Bhattacharya, Samir K.;Lal, Ram
    • Journal of the Korean Statistical Society
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    • v.14 no.2
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    • pp.95-99
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    • 1985
  • In this paper, Bayesian analysiss of the general linear econometric model is carried out by using a multinomal prior for the vector of unknown regression coefficents and a half-normal prior for the standard deviation of the disturbances.

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SOME ANALYSIS ON THE SUBMANIFOLDS OF $MEX_n$

  • Yoo, Ki-Jo
    • Communications of the Korean Mathematical Society
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    • v.11 no.4
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    • pp.1031-1046
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    • 1996
  • The purpose of this paper is to investigate a necessary and sufficient condition for submanifold of $MEX_n$ to be einstein and to derive the generalized fundamental equations on the submanifold of $MEX_n$.

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Analysis Of Induction Motor Direct Control Using VI Space Vector (VI 공간벡터와 관련한 유도전동기 Direct Control 분석)

  • 오성업
    • Proceedings of the KIPE Conference
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    • 2000.07a
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    • pp.207-210
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    • 2000
  • In this paper a theoretical formulation of the direct control relating the action exerted by the inverter space vectors on the stator flux and the torque of Induction motor is analyzed. From the equation the scheme of the inverter switching is proposed and influence of the stator flux and the electromagnetic torque in each switching pattern is also analyzed.

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