• Title/Summary/Keyword: I-convergence

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ON THE STRONG LAWS OF LARGE NUMBERS OF NEGATIVELY ASSOCIATED RANDOM VARIABLES

  • Baek, J.I.;Choi, J.Y.;Ryu, D.H.
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.457-466
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    • 2004
  • Let{$X_{ni}$\mid$\;1\;{\leq}\;i\;{\leq}\;k_n,\;n\;{\geq}\;1$} be an array of rowwise negatively associated random variables such that $P$\mid$X_{ni}$\mid$\;>\;x)\;=\;O(1)P($\mid$X$\mid$\;>\;x)$ for all $x\;{\geq}\;0,\;and\; \{k_n\}\;and\;\{r_n\}$ be two sequences such that $r_n\;{\geq}\;b_1n^r,\;k_n\;{\leq}\;b_2n^k$ for some $b_1,\;b_2,\;r,\;k\;>\;0$. Then it is shown that $\frac{1}{r_n}\;max_1$\mid${\Sigma_{i=1}}^j\;X_{ni}$\mid$\;{\rightarrow}\;0$ completely convergence and the strong convergence for weighted sums of N A arrays is also considered.

Exploring convergent development of youth soccer league(i-league) (유소년 축구리그(i-리그)의 융합적 발전방향 모색)

  • Jun, Sun-Hye;Lee, Pum-Mook
    • Journal of the Korea Convergence Society
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    • v.10 no.5
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    • pp.341-349
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    • 2019
  • The purpose of this study is to analyze the problems facing the youth soccer league(i-league) and present their development directions. The study method used focus group interviews. The results of the study are summarized into three: First, promotion and regional league operation were highlighted as problems of i-League and the solution was the unification system of the Korean Olympic Committee(KOC) and the Korea Football Association(KFA), and the operation of each region by itself. Second, issues resulting from the integration of youth club league and i-league were revealed as level differences by teams and leak of the motivation for winning. Operation of the elevating system was proposed as a solution, and such as fare play team award, voluntary activity team award will derive important virtues for youth. Third, KOC and KFA need additional support for various environments and administrative areas such as facility security, training for leaders and officials, and registration of players.

Temperature Preconditioning for Improving Convergence Characteristics in Calculating Low Mach Number Flows, I: Euler Equations (저속 유동 계산의 수렴성 개선을 위한 온도예조건화 I: 오일러 방정식)

  • Lee, Sang-Hyeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.12
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    • pp.1067-1074
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    • 2007
  • A temperature preconditioning that modulates the derivative of density with respect to temperature is proposed to improve the convergence characteristics of the preconditioned Euler equations. Flows in a two-dimensional channel with a 10% circular bump in the middle of the channel were calculated at different speeds. The numerical dissipation terms of the Roe’s FDS scheme according to the temperature preconditioning are derived. It is shown that the temperature preconditioning accelerates convergence of the preconditioned Euler equations.

On Convergence for Sums of Rowwise Negatively Associated Random Variables

  • Baek, Jong-Il
    • Communications for Statistical Applications and Methods
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    • v.16 no.3
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    • pp.549-556
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    • 2009
  • Let $\{(X_{ni}|1{\leq}i{\leq}n,\;n{\geq}1)\}$ be an array of rowwise negatively associated random variables. In this paper we discuss $n^{{\alpha}p-2}h(n)max_{1{\leq}k{\leq}n}|{\sum}_{i=1}^kX_{ni}|/n^{\alpha}{\rightarrow}0$ completely as $n{\rightarrow}{\infty}$ under not necessarily identically distributed with suitable conditions for ${\alpha}$>1/2, 0${\alpha}p{\geq}1$ and a slowly varying function h(x)>0 as $x{\rightarrow}{\infty}$. In addition, we obtain the complete convergence of moving average process based on negative association random variables which extends the result of Zhang (1996).

ON COMPLETE CONVERGENCE OF WEIGHTED SUMS OF ø-MIXING RANDOM VARIABLES WITH APPLICATION TO MOVING AVERAGE PROCESSES

  • Baek, J.I.;Liang, H.Y.;Choi, Y.K.;Chung, H.I.
    • Journal of the Korean Statistical Society
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    • v.33 no.3
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    • pp.271-282
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    • 2004
  • We discuss complete convergence of weighted sums for arrays of ø-mixing random variables. As application, we obtain the complete convergence of moving average processes for ø-mixing random variables. The result of Baum and Katz (1965) as well as the result of Li et al. (1992) on iid case are extended to ø-mixing setting.

MEAN CONVERGENCE THEOREMS AND WEAK LAWS OF LARGE NUMBERS FOR DOUBLE ARRAYS OF RANDOM ELEMENTS IN BANACH SPACES

  • Dung, Le Van;Tien, Nguyen Duy
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.3
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    • pp.467-482
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    • 2010
  • For a double array of random elements {$V_{mn};m{\geq}1,\;n{\geq}1$} in a real separable Banach space, some mean convergence theorems and weak laws of large numbers are established. For the mean convergence results, conditions are provided under which $k_{mn}^{-\frac{1}{r}}\sum{{u_m}\atop{i=1}}\sum{{u_n}\atop{i=1}}(V_{ij}-E(V_{ij}|F_{ij})){\rightarrow}0$ in $L_r$ (0 < r < 2). The weak law results provide conditions for $k_{mn}^{-\frac{1}{r}}\sum{{T_m}\atop{i=1}}\sum{{\tau}_n\atop{j=1}}(V_{ij}-E(V_{ij}|F_{ij})){\rightarrow}0$ in probability where {$T_m;m\;{\geq}1$} and {${\tau}_n;n\;{\geq}1$} are sequences of positive integer-valued random variables, {$k_{mn};m{{\geq}}1,\;n{\geq}1$} is an array of positive integers. The sharpness of the results is illustrated by examples.

A Study on APC-MPC in 8kbps of Convergence System (융복합 시스템의 8kbps에 있어서 APC-MPC에 관한 연구)

  • Lee, See-Woo
    • Journal of Digital Convergence
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    • v.13 no.7
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    • pp.177-182
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    • 2015
  • In a MPC(Multi-Pulse Coding) using excitation source of voiced and unvoiced, it would be a distortion of voice waveform. This is caused by normalization of synthesis speech waveform of voiced in the process of restoration. To solve this problem, this paper present APC-MPC of amplitude-position compensation in a multi-pulses each pitch interval in order to reduce distortion of synthesis waveform. Also, I was implemented that the APC-MPC in coding system. And I evaluate the SNRseg of APC-MPC in 8kbps coding condition of convergence system. As a result, SNRseg of APC-MPC was 13.9dB for female voice and 14.3dB for male voice respectively. And so, I expect to be able to this method for cellular phone and smart phone using excitation source of low bit rate.

I-QANet: Improved Machine Reading Comprehension using Graph Convolutional Networks (I-QANet: 그래프 컨볼루션 네트워크를 활용한 향상된 기계독해)

  • Kim, Jeong-Hoon;Kim, Jun-Yeong;Park, Jun;Park, Sung-Wook;Jung, Se-Hoon;Sim, Chun-Bo
    • Journal of Korea Multimedia Society
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    • v.25 no.11
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    • pp.1643-1652
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    • 2022
  • Most of the existing machine reading research has used Recurrent Neural Network (RNN) and Convolutional Neural Network (CNN) algorithms as networks. Among them, RNN was slow in training, and Question Answering Network (QANet) was announced to improve training speed. QANet is a model composed of CNN and self-attention. CNN extracts semantic and syntactic information well from the local corpus, but there is a limit to extracting the corresponding information from the global corpus. Graph Convolutional Networks (GCN) extracts semantic and syntactic information relatively well from the global corpus. In this paper, to take advantage of this strength of GCN, we propose I-QANet, which changed the CNN of QANet to GCN. The proposed model performed 1.2 times faster than the baseline in the Stanford Question Answering Dataset (SQuAD) dataset and showed 0.2% higher performance in Exact Match (EM) and 0.7% higher in F1. Furthermore, in the Korean Question Answering Dataset (KorQuAD) dataset consisting only of Korean, the learning time was 1.1 times faster than the baseline, and the EM and F1 performance were also 0.9% and 0.7% higher, respectively.