• Title/Summary/Keyword: Graphical Model

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Comparison of model selection criteria in graphical LASSO (그래프 LASSO에서 모형선택기준의 비교)

  • Ahn, Hyeongseok;Park, Changyi
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.4
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    • pp.881-891
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    • 2014
  • Graphical models can be used as an intuitive tool for modeling a complex stochastic system with a large number of variables related each other because the conditional independence between random variables can be visualized as a network. Graphical least absolute shrinkage and selection operator (LASSO) is considered to be effective in avoiding overfitting in the estimation of Gaussian graphical models for high dimensional data. In this paper, we consider the model selection problem in graphical LASSO. Particularly, we compare various model selection criteria via simulations and analyze a real financial data set.

A Study on Bias Effect on Model Selection Criteria in Graphical Lasso

  • Choi, Young-Geun;Jeong, Seyoung;Yu, Donghyeon
    • Quantitative Bio-Science
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    • v.37 no.2
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    • pp.133-141
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    • 2018
  • Graphical lasso is one of the most popular methods to estimate a sparse precision matrix, which is an inverse of a covariance matrix. The objective function of graphical lasso imposes an ${\ell}_1$-penalty on the (vectorized) precision matrix, where a tuning parameter controls the strength of the penalization. The selection of the tuning parameter is practically and theoretically important since the performance of the estimation depends on an appropriate choice of tuning parameter. While information criteria (e.g. AIC, BIC, or extended BIC) have been widely used, they require an asymptotically unbiased estimator to select optimal tuning parameter. Thus, the biasedness of the ${\ell}_1$-regularized estimate in the graphical lasso may lead to a suboptimal tuning. In this paper, we propose a two-staged bias-correction procedure for the graphical lasso, where the first stage runs the usual graphical lasso and the second stage reruns the procedure with an additional constraint that zero estimates at the first stage remain zero. Our simulation and real data example show that the proposed bias correction improved on both edge recovery and estimation error compared to the single-staged graphical lasso.

Graphical regression and model assessment in logistic model (로지스틱모형에서 그래픽을 이용한 회귀와 모형평가)

  • Kahng, Myung-Wook;Kim, Bu-Yong;Hong, Ju-Hee
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.1
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    • pp.21-32
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    • 2010
  • Graphical regression is a paradigm for obtaining regression information using plots without model assumptions. The general goal of this approach is to find lowdimensional sufficient summary plots without loss of important information. Model assessments using residual plots are less likely to be successful in models that are not linear. As an alternative approach, marginal model plots provide a general graphical method for assessing the model. We apply the methods of graphical regression and model assessment using marginal model plots to the logistic regression model.

3-D Graphical Model-Based Design and Control of Automated Equipment (3차원 그래픽 모델에 근거한 자동화 장비의 설계 및 조종)

  • Seo Jongwon;Haas Carl
    • Proceedings of the Korean Institute Of Construction Engineering and Management
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    • autumn
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    • pp.188-191
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    • 2002
  • This paper concerns 3-D graphical modeling and simulation techniques for design and control of automated equipment for construction and facility maintenance. A case study on the use of 3-D graphics techniques for developing a power plant maintenance robot is presented. By simulating equipment operation within the 3-D geometry models of the work environment the environment design was improved. The 3-D graphical models of the equipment and the work environment were further utilized for the control of the robot from a remote distance. By presenting the real-time updated equipment configuration and the work environment to the operator, the graphical model-based equipment control system helped the operator overcome the problems associated with spatial perception. The collision between the robot and the plant structures was also avoided based the real-time analysis of the dynamically updated graphical models.

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Graphical Models for DNA Microarray Data Mining

  • 양진산;장병탁
    • Proceedings of the Korean Society for Bioinformatics Conference
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    • 2002.06a
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    • pp.49-61
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    • 2002
  • 현대적 실험방법 및 유전공학의 발전으로 최근 생물학적 자료는 비약적으로 늘어나고 있다. 이러한 자료의 기계학습을 이용한 분석방법은 많은 비용과 시간을 요구하는 전통적인 생물적 실험에 있어서 실험 시간을 단축시켜주고 실험비용을 줄여 주게 된다. 본 논문에서는 특별히 micro array data의 분석에 있어서 graphical model에 기반한 기계학습 방법들을 소개한다. 이중 GTM 은 특히 시각화 효과가 뛰어난 방법으로 Graphical model 에 기반한 GTM의 제반 특성을 소개하고 이를 yeast data의 분석에 적용시킨 결과를 자세히 알아보고자 한다. (**Presentation file을 수신 보관 중)

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2-D graphical representation of protein sequences and its application to coronavirus phylogeny

  • Li, Chun;Xing, Lili;Wang, Xin
    • BMB Reports
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    • v.41 no.3
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    • pp.217-222
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    • 2008
  • Based on a five-letter model of the 20 amino acids, we propose a new 2-D graphical representation of protein sequence. Then we transform the 2-D graphical representation into a numerical characterization that will facilitate quantitative comparisons of protein sequences. As an application, we construct the phylogenetic tree of 56 coronavirus spike proteins. The resulting tree agrees well with the established taxonomic groups.

Visualization of Path Expressions with Set Attributes and Methods in Graphical Object Query Languages (그래픽 객체 질의어에서 집합 속성과 메소드를 포함한 경로식의 시각화)

  • 조완섭
    • Journal of KIISE:Databases
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    • v.30 no.2
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    • pp.109-124
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    • 2003
  • Although most commercial relational DBMSs Provide a graphical query language for the user friendly interfaces of the databases, few research has been done for graphical query languages in object databases. Expressing complex query conditions in a concise and intuitive way has been an important issue in the design of graphical query languages. Since the object data model and object query languages are more complex than those of the relational ones, the graphical object query language should have a concise and intuitive representation method. We propose a graphical object query language called GOQL (Graphical Object Query Language) for object databases. By employing simple graphical notations, advanced features of the object queries such as path expressions including set attributes, quantifiers, and/or methods can be represented in a simple graphical notation. GOQL has an excellent expressive power compared with previous graphical object query languages. We show that path expressions in XSQL(1,2) can be represented by the simple graphical notations in GOQL. We also propose an algorithm that translates a graphical query in GOQL into the textual object query with the same semantics. We finally describe implementation results of GOQL in the Internet environments.

A Procedure for Fitting Nonadditive Models

  • Seo, Han-Son
    • Communications for Statistical Applications and Methods
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    • v.7 no.2
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    • pp.393-401
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    • 2000
  • Many graphical methods have been suggested for obtaining an impression of a curvature in regression problem in which some covariates enter nonlinearly. However when true model does not belong to the class of additive models, graphical methods may contain a serious bias. A method is suggested which can avoid such bias in the fitting of nonaddive models.

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Development of a Graphical Modeler for Manipulating Series Data Based on Object-Oriented Technique (일련 자료 처리를 위한 시각적 객체 기반 모델러 개발)

  • Kim, Tae-Gon;Lee, Jeong-Jae
    • Journal of The Korean Society of Agricultural Engineers
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    • v.51 no.2
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    • pp.43-49
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    • 2009
  • Many researcher uses simulation techniques for understanding the phenomenon and expecting the response. Simulation techniques have many advantages which is less time-consuming, easy to control constraints, and cheaper than experimental study. However Researches usually are not good at programming the model, it's hard to implement simulation model using computer language. They use spreadsheet program like Microsoft $excel^{TM}$ Although a spreadsheet program is good for modeling, it's cumbersome to describe expressions which consist of not variable name but location indicator. This study suggests the program which helps researcher developing model using graphical interface and variable name. For verifying usability, the model which is implemented by developed modeler were compared with by spreadsheet program.

ACCURACY CURVES: AN ALTERNATIVE GRAPHICAL REPRESENTATION OF PROBABILITY DATA

  • Detrano Robert
    • 대한예방의학회:학술대회논문집
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    • 1994.02b
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    • pp.150-153
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    • 1994
  • Receiver operating characteristic (ROC) curves have been frequently used to compare probability models applied to medical problems. Though the curves are a measure of the discriminatory power of a model. they do not reflect the model's accuracy. A supplementary accuracy curve is derived which will be coincident with the ROC curve if the model is reliable. will be above the ROC curve if the model's probabilities are too high or below if they are too low. A clinical example of this new graphical presentation is given.

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