• Title/Summary/Keyword: stochastics

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Integrational Operation of Stochastics and Neural Networks Theory for Nonlinear Modeling (비선형 모형화를 위한 추계학 및 신경망이론의 통합운영)

  • Kim, Seong-Won
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1423-1426
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    • 2007
  • The goal of this research is to develop and apply the integrational model for the pan evaporation and the alfalfa reference evapotranspiration in Republic of Korea. Since the observed data of the alfalfa reference evapotranspiration using lysimeter have not been measured for a long time in Republic of Korea, PM method is used to assume and estimate the observed alfalfa reference evapotranspiration. The integrational model consists of staochastics and neural networks processes respectively. The stochastics process is applied to extend for the short-term monthly pan evaporation and alfalfa reference evapotranspiration. The extended data of the monthly pan evaporation and alfalfa reference evapotranspiration is used to evaluate for the training performance. For the neural networks process, the generalized regression neural networks model(GRNNM) is applied to evaluate for the testing performance using the observed data respectively. From this research, we evaluate the impact of the limited climatical variables on the accuracy of the integrational operation of stochastics and neural networks processes. We should, furthermore, construct the credible data of the pan evaporation and the alfalfa reference evapotranspiration, and suggest the reference data for irrigation and drainage networks system in Republic of Korea.

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Teleportation into Quantum Statistics

  • Gill, Richard
    • Journal of the Korean Statistical Society
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    • v.30 no.2
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    • pp.291-325
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    • 2001
  • The paper is a tutorial introduction to quantum information theory, developing the basic model and emphasizing the role of statistics and probability.

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Random Upper Functions for Levy Processes

  • Joo, Sang-Yeol
    • Journal of the Korean Statistical Society
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    • v.22 no.1
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    • pp.93-111
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    • 1993
  • Let ${X(t) : t \geq 0}$ be a real-valued stochastics process with stationary independent increments. In this paper, under the condition of stochastic compactness, we obtain appropriate function $\alpha(t)$ and random function $\beta(t)$ such that for some positive finite constant C, lim sup${X(t) - \alpha(t)}/\beta(t) = C$ a.s. both as t tends to zero and infinity.

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A Study on the Drift Characteristics of Person-in-Water (인체의 표류특성에 관한 연구)

  • ;T. C. Su
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.3 no.1
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    • pp.85-92
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    • 1997
  • To understand the dynamics of a drifting object, an analysis based on fluid dynamics theory is presented. A simplified analysis shows a consistency with the linear formula currently used for search and rescue mission. Also an experiment using miniatured human models has been conducted to study the drift characteristics of Person-in-Water. The tests were carried out at the water channel facility and the models were tested in different positions and styles. The measured drag coefficients for human body ranged over 0.4-1.2.

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The Position Estimation Algorithm based on Stochastic Sensor Model of RFID (RFID의 확률적 센서모델을 이용한 위치 추정 알고리즘)

  • Ji Y.K.;Moon S.W.;Park H.H.;Park J.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.1478-1482
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    • 2005
  • Since it is a very issue that figures out a current position of mobile robots, various methods have been proposed until nowadays. This paper proposes the sensor model of RFID(Radio Frequency Identification) and position estimation algorithm for mobile robots. We designed the sensor model of RFID in experimenting repeatedly. The sensor model of RFID in this case is that of stochastics according to sensing rate. Based on this stochastic sensor model, we designed the algorithm which estimates distance and direction of RFID tag. Therefore we made sure that RFID tag is used as landmark.

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A novel story on rock slope reliability, by an initiative model that incorporated the harmony of damage, probability and fuzziness

  • Wang, Yajun
    • Geomechanics and Engineering
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    • v.12 no.2
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    • pp.269-294
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    • 2017
  • This study aimed to realize the creation of fuzzy stochastic damage to describe reliability more essentially with the analysis of harmony of damage conception, probability and fuzzy degree of membership in interval [0,1]. Two kinds of fuzzy behaviors of damage development were deduced. Fuzzy stochastic damage models were established based on the fuzzy memberships functional and equivalent normalization theory. Fuzzy stochastic damage finite element method was developed as the approach to reliability simulation. The three-dimensional fuzzy stochastic damage mechanical behaviors of Jianshan mine slope were analyzed and examined based on this approach. The comprehensive results, including the displacement, stress, damage and their stochastic characteristics, indicate consistently that the failure foci of Jianshan mine slope are the slope-cutting areas where, with the maximal failure probability 40%, the hazardous Domino effects will motivate the neighboring rock bodies' sliding activities.

ON SELF-SIMILAR STOCHASTIC INTEGRAL PROCESSES

  • Kim, Joo-Mok
    • Communications of the Korean Mathematical Society
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    • v.9 no.4
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    • pp.961-973
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    • 1994
  • A stochastics process $X = {X(t) : t \in T}$, with an index set T, is said to be infinitely divisible (ID) if its finite dimensional distributions are all ID. An ID process X is said to be a stochastic integral process if $X = {X(t) : t \in T} =^D {\int f_td\Lambda : t \in T}$ where $f : T \times S \to R$ is a deterministic function and $\Lambda$ is an ID random measure on a $\delta$-ring S of subsets of an arbitrary non-empty set S with the property; there exists an increasing sequence ${S_n}$ of sets in S with $U_n S_n = S$. Here $=^D$ denotes equality in all finite dimensional distributions.

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Visualization of Bottleneck Distances for Persistence Diagram

  • Cho, Kyu-Dong;Lee, Eunjee;Seo, Taehee;Kim, Kwang-Rae;Koo, Ja-Yong
    • The Korean Journal of Applied Statistics
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    • v.25 no.6
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    • pp.1009-1018
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    • 2012
  • Persistence homology (a type of methodology in computational algebraic topology) can be used to capture the topological characteristics of functional data. To visualize the characteristics, a persistence diagram is adopted by plotting baseline and the pairs that consist of local minimum and local maximum. We use the bottleneck distance to measure the topological distance between two different functions; in addition, this distance can be applied to multidimensional scaling(MDS) that visualizes the imaginary position based on the distance between functions. In this study, we use handwriting data (which has functional forms) to get persistence diagram and check differences between the observations by using bottleneck distance and the MDS.

Crystal growth from melt in combined heater-magnet modules

  • Rudolph, P.;Czupalla, M.;Dropka, N.;Frank-Rotsch, Ch.;KieBling, F.M.;Klein, O.;Lux, B.;Miller, W.;Rehse, U.;Root, O.
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.19 no.5
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    • pp.215-222
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    • 2009
  • Many concepts of external magnetic field applications in crystal growth processes have been developed to control melt convection, impurity content and growing interface shape. Especially, travelling magnetic fields (TMF) are of certain advantages. However, strong shielding effects appear when the TMF coils are placed outside the growth vessel. To achieve a solution of industrial relevance within the framework of the $KRISTMAG^{(R)}$ project inner heater-magnet modules(HMM) for simultaneous generation of temperature and magnetic field have been developed. At the same time, as the temperature is controlled as usual, e.g. by DC, the characteristics of the magnetic field can be adjusted via frequency, phase shift of the alternating current (AC) and by changing the amplitude via the AC/DC ratio. Global modelling and dummy measurements were used to optimize and validate the HMM configuration and process parameters. GaAs and Ge single crystals with improved parameters were grown in HMM-equipped industrial liquid encapsulated Czochralski (LEC) puller and commercial vertical gradient freeze (VGF) furnace, respectively. The vapour pressure controlled Czochralski (VCz) variant without boric oxide encapsulation was used to study the movement of floating particles by the TMF-driven vortices.

Stochastics and Artificial Intelligence-based Analytics of Wastewater Plant Operation

  • Sung-Hyun Kwon;Daechul Cho
    • Clean Technology
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    • v.29 no.2
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    • pp.145-150
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    • 2023
  • Tele-metering systems have been useful tools for managing domestic wastewater treatment plants (WWTP) over the last decade. They mostly generate water quality data for discharged water to ensure that it complies with mandatory regulations and they may be able to produce every operation parameter and additional measurements in the near future. A sub-big data group, comprised of about 150,000 data points from four domestic WWTPs, was ready to be classified and also analyzed to optimize the WWTP process. We used the Statistical Product and Service Solutions (SPSS) 25 package in order to statistically treat the data with linear regression and correlation analysis. The major independent variables for analysis were water temperature, sludge recycle rate, electricity used, and water quality of the influent while the dependent variables representing the water quality of the effluent included the total nitrogen, which is the most emphasized index for discharged flow in plants. The water temperature and consumed electricity showed a strong correlation with the total nitrogen but the other indices' mutual correlations with other variables were found to be fuzzy due to the large errors involved. In addition, a multilayer perceptron analysis method was applied to TMS data along with root mean square error (RMSE) analysis. This study showed that the RMSE in the SS, T-N, and TOC predictions were in the range of 10% to 20%.