• 제목/요약/키워드: recurrent functions

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Analysis of bivariate recurrent event data with zero inflation

  • Kim, Taeun;Kim, Yang-Jin
    • Communications for Statistical Applications and Methods
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    • 제27권1호
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    • pp.37-46
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    • 2020
  • Recurrent event data frequently occur in clinical studies, demography, engineering reliability and so on (Cook and Lawless, The Statistical Analysis of Recurrent Events, Springer, 2007). Sometimes, two or more different but related type of recurrent events may occur simultaneously. In this study, our interest is to estimate the covariate effect on bivariate recurrent event times with zero inflations. Such zero inflation can be related with susceptibility. In the context of bivariate recurrent event data, furthermore, such susceptibilities may be different according to the type of event. We propose a joint model including both two intensity functions and two cure rate functions. Bivariate frailty effects are adopted to model the correlation between recurrent events. Parameter estimates are obtained by maximizing the likelihood derived under a piecewise constant hazard assumption. According to simulation results, the proposed method brings unbiased estimates while the model ignoring cure rate models gives underestimated covariate effects and overestimated variance estimates. We apply the proposed method to a set of bivariate recurrent infection data in a study of child patients with leukemia.

Gated Recurrent Unit 기법을 활용한 구조 안전성 평가 방법 (Evaluation Method of Structural Safety using Gated Recurrent Unit)

  • 강정호
    • 한국산업융합학회 논문집
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    • 제27권1호
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    • pp.183-193
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    • 2024
  • Recurrent Neural Network technology that learns past patterns and predicts future patterns using technology for recognizing and classifying objects is being applied to various industries, economies, and languages. And research for practical use is making a lot of progress. However, research on the application of Recurrent Neural Networks for evaluating and predicting the safety of mechanical structures is insufficient. Accurate detection of external load applied to the outside is required to evaluate the safety of mechanical structures. Learning of Recurrent Neural Networks for this requires a large amount of load data. This study applied the Gated Recurrent Unit technique to examine the possibility of load learning and investigated the possibility of applying a stacked Auto Encoder as a way to secure load data. In addition, the usefulness of learning mechanical loads was analyzed with the Gated Recurrent Unit technique, and the basic setting of related functions and parameters was proposed to secure accuracy in the recognition and prediction of loads.

ON THE SEMILOCAL CONVERGENCE OF THE GAUSS-NEWTON METHOD USING RECURRENT FUNCTIONS

  • Argyros, Ioannis K.;Hilout, Said
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제17권4호
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    • pp.307-319
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    • 2010
  • We provide a new semilocal convergence analysis of the Gauss-Newton method (GNM) for solving nonlinear equation in the Euclidean space. Using our new idea of recurrent functions, and a combination of center-Lipschitz, Lipschitz conditions, we provide under the same or weaker hypotheses than before [7]-[13], a tighter convergence analysis. The results can be extented in case outer or generalized inverses are used. Numerical examples are also provided to show that our results apply, where others fail [7]-[13].

A New Recurrent Neural Network Architecture for Pattern Recognition and Its Convergence Results

  • Lee, Seong-Whan;Kim, Young-Joon;Song, Hee-Heon
    • Journal of Electrical Engineering and information Science
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    • 제1권1호
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    • pp.108-117
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    • 1996
  • In this paper, we propose a new type of recurrent neural network architecture in which each output unit is connected with itself and fully-connected with other output units and all hidden units. The proposed recurrent network differs from Jordan's and Elman's recurrent networks in view of functions and architectures because it was originally extended from the multilayer feedforward neural network for improving the discrimination and generalization power. We also prove the convergence property of learning algorithm of the proposed recurrent neural network and analyze the performance of the proposed recurrent neural network by performing recognition experiments with the totally unconstrained handwritten numeral database of Concordia University of Canada. Experimental results confirmed that the proposed recurrent neural network improves the discrimination and generalization power in recognizing spatial patterns.

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THE RECURRENT HYPERCYCLICITY CRITERION FOR TRANSLATION C0-SEMIGROUPS ON COMPLEX SECTORS

  • Yuxia Liang;Zhi-Yuan Xu;Ze-Hua Zhou
    • 대한수학회보
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    • 제60권2호
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    • pp.293-305
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    • 2023
  • Let {Tt}t∈∆ be the translation semigroup with a sector ∆ ⊂ ℂ as index set. The recurrent hypercyclicity criterion (RHCC) for the C0-semigroup {Tt}t∈∆ is established, and then the equivalent conditions ensuring {Tt}t∈∆ satisfying the RHCC on weighted spaces of p-integrable and of continuous functions are presented. Especially, every chaotic semigroup {Tt}t∈∆ satisfies the RHCC.

Recurrent Neural Network with Multiple Hidden Layers for Water Level Forecasting near UNESCO World Heritage Site "Hahoe Village"

  • Oh, Sang-Hoon
    • International Journal of Contents
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    • 제14권4호
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    • pp.57-64
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    • 2018
  • Among many UNESCO world heritage sites in Korea, "Historic Village: Hahoe" is adjacent to Nakdong River and it is imperative to monitor the water level near the village in a bid to forecast floods and prevent disasters resulting from floods.. In this paper, we propose a recurrent neural network with multiple hidden layers to predict the water level near the village. For training purposes on the proposed model, we adopt the sixth-order error function to improve learning for rare events as well as to prevent overspecialization to abundant events. Multiple hidden layers with recurrent and crosstalk links are helpful in acquiring the time dynamics of the relationship between rainfalls and water levels. In addition, we chose hidden nodes with linear rectifier activation functions for training on multiple hidden layers. Through simulations, we verified that the proposed model precisely predicts the water level with high peaks during the rainy season and attains better performance than the conventional multi-layer perceptron.

재발성 감염 질환의 접근 방법 (Approach to the Children with Recurrent Infections)

  • 이재호
    • Clinical and Experimental Pediatrics
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    • 제48권5호
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    • pp.461-468
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    • 2005
  • The major function of immune system is to protect infections. The immune systems are composed of innate and adaptive immunity. In adaptive immunity, the cellular and humoral components interact each other. Neonates and infants are infected frequently, because immune systems are naive and easy to expose to infectious agents. The complete history and physical examination is essential to evaluate the child with recurrent infections. The environmental risk factors of recurrent infections are day care center, cigarette smoke, and air pollution. The underlying diseases such as immunodeficiency, autoimmune diseases, allergy, and disorders of anatomy or physiology increase the susceptibility to infections. In immunodeficiency, infections are characterized by severe, chronic, recurrent, and unusual microbial agents infection. The defects of antibody production are susceptible to sinopulmonary bacterial infections. T cells defects are vulerable to numerous organisms such as virus, fungi, bacteria and etc. The screening tests for immune functions are the quantitative and qualitative measurements of each immune components. A complete blood count with white blood cell, differential, and platelet provide quantitative informations of immune components. Total complement and immunoglobulin levels represent the humoral component. Antibody levels of previously injected vaccines also provide informations of the antigen specific antibody immune responses. T cell and subsets count is quantitative measurement of cell mediated immunity. Delayed hypersensitivity skin test is a crude measurement of T cell function. The long term outcome of children with recurrent infections is completely dependent on the underlying diseases, the initial time of diagnosis and therapy, continued management, and genetic counscelling.

Analyzing Effective of Activation Functions on Recurrent Neural Networks for Intrusion Detection

  • Le, Thi-Thu-Huong;Kim, Jihyun;Kim, Howon
    • Journal of Multimedia Information System
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    • 제3권3호
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    • pp.91-96
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    • 2016
  • Network security is an interesting area in Information Technology. It has an important role for the manager monitor and control operating of the network. There are many techniques to help us prevent anomaly or malicious activities such as firewall configuration etc. Intrusion Detection System (IDS) is one of effective method help us reduce the cost to build. The more attacks occur, the more necessary intrusion detection needs. IDS is a software or hardware systems, even though is a combination of them. Its major role is detecting malicious activity. In recently, there are many researchers proposed techniques or algorithms to build a tool in this field. In this paper, we improve the performance of IDS. We explore and analyze the impact of activation functions applying to recurrent neural network model. We use to KDD cup dataset for our experiment. By our experimental results, we verify that our new tool of IDS is really significant in this field.

ON THE "TERRA INCOGNITA" FOR THE NEWTON-KANTROVICH METHOD WITH APPLICATIONS

  • Argyros, Ioannis Konstantinos;Cho, Yeol Je;George, Santhosh
    • 대한수학회지
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    • 제51권2호
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    • pp.251-266
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    • 2014
  • In this paper, we use Newton's method to approximate a locally unique solution of an equation in Banach spaces and introduce recurrent functions to provide a weaker semilocal convergence analysis for Newton's method than before [1]-[13], in some interesting cases, provided that the Fr$\acute{e}$chet-derivative of the operator involved is p-H$\ddot{o}$lder continuous (p${\in}$(0, 1]). Numerical examples involving two boundary value problems are also provided.

ON THE CONVERGENCE OF INEXACT TWO-STEP NEWTON-TYPE METHODS USING RECURRENT FUNCTIONS

  • Argyros, Ioannis K.;Hilou, Said
    • East Asian mathematical journal
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    • 제27권3호
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    • pp.319-337
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    • 2011
  • We approximate a locally unique solution of a nonlinear equation in a Banach space setting using an inexact two-step Newton-type method. It turn out that under our new idea of recurrent functions, our semilocal analysis provides tighter error bounds than before, and in many interesting cases, weaker sufficient convergence conditions. Applications including the solution of nonlinear Chandrasekhar-type integral equations appearing in radiative transfer and two point boundary value problems are also provided in this study.