• 제목/요약/키워드: robust statistics

검색결과 400건 처리시간 0.032초

이스트 프로테옴에 대한 단백질-단백질 네트워크의 생물학적 및 물리학적 정보인식 : 라플라스 행렬에 대한 고유치와 섭동분석 (Identifying the biological and physical essence of protein-protein network for yeast proteome : Eigenvalue and perturbation analysis of Laplacian matrix)

  • Chang, Ik-Soo;Cheon, Moo-Kyung;Moon, Eun-Joung;Kim, Choong-Rak
    • 한국생물정보학회:학술대회논문집
    • /
    • 한국생물정보시스템생물학회 2004년도 The 3rd Annual Conference for The Korean Society for Bioinformatics Association of Asian Societies for Bioinformatics 2004 Symposium
    • /
    • pp.265-271
    • /
    • 2004
  • The interaction network of protein -protein plays an important role to understand the various biological functions of cells. Currently, the high -throughput experimental techniques (two -dimensional gel electrophoresis, mass spectroscopy, yeast two -hybrid assay) provide us with the vast amount of data for protein-protein interaction at the proteome scale. In order to recognize the role of each protein in their network, the efficient bioinformatical and computational analysis methods are required. We propose a systematic and mathematical method which can analyze the protein -protein interaction network rigorously and enable us to capture the biological and physical essence of a topological character and stability of protein -protein network, and sensitivity of each protein along the biological pathway of their network. We set up a Laplacian matrix of spectral graph theory based on the protein-protein network of yeast proteome, and perform an eigenvalue analysis and apply a perturbation method on a Laplacian matrix, which result in recognizing the center of protein cluster, the identity of hub proteins around it and their relative sensitivities. Identifying the topology of protein -protein network via a Laplacian matrix, we can recognize the important relation between the biological pathway of yeast proteome and the formalism of master equation. The results of our systematic and mathematical analysis agree well with the experimental findings of yeast proteome. The biological function and meaning of each protein cluster can be explained easily. Our rigorous analysis method is robust for understanding various kinds of networks whether they are biological, social, economical...etc

  • PDF

조석이 지배적인 해역의 극치해면 산정 (Estimation of extreme sea levels at tide-dominated coastal zone)

  • 강주환;김양선;조홍연;심재설
    • 한국해안·해양공학회논문집
    • /
    • 제24권6호
    • /
    • pp.381-389
    • /
    • 2012
  • EST기법을 토대로 하면서 자료기간이 충분히 길지 않고 조석이 지배적인 해역에서 극치해면고를 산정하기 위한 방법을 개발하였다. 본 방법은 고조위와 단주기 해일고 및 장주기 해일고, 그리고 태풍에 의한 해일고 등을 독립적으로 일년간 발생시켜 각 성분 합의 최대값을 구해 연고극조위를 산정하게 된다. 이때 고조위는 대소조 및 연주조 뿐 아니라 18.6년 달의 공전평면 주기까지 감안하여 발생시키게 되며, 태풍에 의한 해일은 관측치 또는 해일모형을 통해 작성된 해일고 계산치로 구성된 트레이닝세트로부터 추출되어 산정된다. 수백년간 연도별 연고극조위를 발생시킴으로써 재현기간별 극치해면고를 산정할 수 있게 되고, 이 작업을 수백번 반복함으로써 극치해면고의 통계특성까지 추정할 수 있다. 목포항에 적용한 결과를 여타 연구결과와 비교함으로써 본 방법의 적용성을 입증할 수 있었다.

우리나라 성인에서 일부 질환과 연관된 건강관련 삶의 질 감소 (The Decline of Health-Related Quality of Life Associated with Some Diseases in Korean Adults)

  • 길선령;이상일;윤성철;안형미;조민우
    • Journal of Preventive Medicine and Public Health
    • /
    • 제41권6호
    • /
    • pp.434-441
    • /
    • 2008
  • Objectives: This study was conducted to measure the decline in the health-related quality of life (HRQoL) associated with some diseases in South Korean adults. Methods: The EQ-5D health states in the 2005 National Health and Nutrition Examination Survey (NHNES) and the Korean EQ-5D valuation set were used to obtain the EQ-5D indexes of the study subjects. Each disease group was defined when the subjects reported to the NHNES that they were diagnosed with the corresponding disease during the previous 1 year by physicians. Since the distributions of the EQ-5D indexes in each subgroup were negatively skewed, median regression analysis was used to estimate the effects of specific diseases on the HRQoL. Median regression analysis produced estimates that approximated the median of the EQ-5D indexes and there are more robust for analyzing data with many outliers. Results: A total of 16,692 subjects (6,667 patients and 10,025 people without any disease) were included in the analysis. As a result of the median regression analysis, stroke had the strongest impact on the HRQoL for both males and females, followed by osteoporosis, osteoarthritis, rheumatic arthritis, and herniation of an intervertebral disc. While asthma had a significant impact on the HRQoL only in men, cataract, temporo-mandibular dysfunction, and peptic ulcer significantly affected the HRQoL only in women. Conclusions: Stroke and musculoskeletal diseases were associated with the largest losses of the HRQoL in Korean adults.

Ligand Based CoMFA, CoMSIA and HQSAR Analysis of CCR5 Antagonists

  • Gadhe, Changdev G.;Lee, Sung-Haeng;Madhavan, Thirumurthy;Kothandan, Gugan;Choi, Du-Bok;Cho, Seung-Joo
    • Bulletin of the Korean Chemical Society
    • /
    • 제31권10호
    • /
    • pp.2761-2770
    • /
    • 2010
  • In this study, we have developed QSAR models for a series of 38 piperidine-4-carboxamide CCR5 antagonists using CoMFA, CoMSIA and HQSAR methods. Developed models showed good statistics in terms of $q^2$ and $r^2$ values. Best predictions obtained with standard CoMFA model ($r^2$ = 0.888, $q^2$ = 0.651) and combined CoMSIA model ($r^2$ = 0.892, $q^2$ = 0.665) with electrostatics and H-bond acceptor parameter. The validity of developed models was assessed by test set of 9 compounds, which showed good predictive correlation coefficient for CoMFA (0.804) and CoMSIA (0.844). Bootstrapped analysis showed statistically significant and robust CoMFA (0.968) and CoMSIA (0.936) models. Best HQSAR model was obtained with a $q^2$ of 0.662 and $r^2$ of 0.936 using atom, connection, hydrogen, donor and acceptor as parameters and fragment size (7-10) with optimum number of 6 components. Predictive power of developed HQSAR model was proved by test set and it was found to be 0.728.

다항회귀모형에서의 추가받힘점 선택 (Selection of extra support points for polynomial regression)

  • 김영일;장대흥
    • Journal of the Korean Data and Information Science Society
    • /
    • 제25권6호
    • /
    • pp.1491-1498
    • /
    • 2014
  • 최적실험의 제일 큰 약점은 실험기준이 지나치게 모형과 그에 수반되는 가정에 의존한다는 점이다. 이는 종종 모형의 모수의 개수와 받힘점의 개수가 일치를 하는 경우로 이루어지는데 이는 가정된 모형이 참이 아닌 경우를 대비한 실험이 될 수 없다. 이런 경우 문헌에서는 가정된 다항회귀모형의 차수보다 큰 차수를 가진 다항회귀모형을 가정하고 최적실험을 제안하나 이는 D-효율에 근거한 관행적인 방법일 뿐이다. 본 연구에서는 O'Brien (1995)이 제안한 가정된 모형의 일반적인 이탈을 염두에 둔 추가받힘점 생성에 관하여 알아보고 단순회귀모형과 2차 회귀모형에 대한 실험들을 D-효율로 카타로그화 하여 실험자로 하여금 선택을 할 수 있게 하였다. O'Brien은 비선형모형에 대해 추가받힘점의 선택 방법을 제시하였지만 방법을 구현하는 데 있어 명확치 않은 기준이 있어 모수에 의존하는 비선형모형에 대한 최적실험보다는 다항회귀모형을 중심으로 심층적으로 사용방법을 알아보았다.

능형회귀에서의 로버스트한 k의 선택 방법 (Robust selection rules of k in ridge regression)

  • 임용빈
    • 응용통계연구
    • /
    • 제6권2호
    • /
    • pp.371-381
    • /
    • 1993
  • 표준화된 중회귀모형에서 다중공선성(multicollinearity)이 존재할 때, 공선성(collinearity)의 영향을 완화하기 위해서 능형회귀가 사용된다. 반응변수의 예측을 위한 기준으로서 반응변 수의 예측치의 평균제곱합(MSE)을 설명변수의 관심영역 R에서 적분한(IMSE) $J_w(k)$ 기 준이 Lim, Choi & Park(1980)에 의해 소개되었다. $C_k$기준이 설명변수의 관심영역 R상 에서의 가중치 함수인 w(x)가 각각의 자료점에서 등확률 1/n을 갖는 경우의 IMSE 기준인 $J_n(k)$ 기준과 동치라는 관계를 이용함으로 $C_k$ 기준에 대해서 Myers(1986)에 의해 주어진 k의 선택방법 보다 더 합리적이라 기대되는 k의 선택방법이 제시되었다. 다음으로 관심이 있는 모든 기준들에 대해서 상대적으로 효율이 좋은 능형회귀추정량 $\beta(k)$를 선택하기 위해서, 관심이 있는 기준들 간의 가장 나쁜 효율을 최대화한다는 의미에서 MiniMax 원칙을 채택하여 관심이 있는 기준들에 대해서 로버스트한 k의 선택방법을 제시 하였다.

  • PDF

보행자 기반의 변분 베이지안 감시 카메라 자가 보정 (Pedestrian-Based Variational Bayesian Self-Calibration of Surveillance Cameras)

  • 임종빈
    • 한국정보통신학회논문지
    • /
    • 제23권9호
    • /
    • pp.1060-1069
    • /
    • 2019
  • 보행자 기반의 카메라 자가 보정 방법들은 복잡한 보정 장치나 절차가 필요하지 않기 때문에 비디오 감시 시스템에 적합하다. 하지만 임의 보행자를 보정 대상으로 사용하는 경우 보행자들의 키를 모르기 때문에 보정 정확도가 저하될 수 있다. 본 논문은 실제 감시 환경에서 이 문제를 해결하기 위한 베이지안 보정 방법을 제안한다. 제안하는 방법에서는 감시 지역 사람들의 키에 대한 통계가 있다고 가정하고, 발-머리 호몰로지(foot-head homology)를 사용하여, 발과 머리의 좌표와 보행자 키의 불확실성을 모두 고려하는 확률 모델을 구성한다. 이 확률 모델을 직접 푸는 것은 난해하므로, 본 연구에서는 근사적 방법인 변분 베이지안 추론(variational Bayesian inference)을 사용한다. 따라서, 이를 통해 관측된 보행자들의 키를 추정함과 동시에 정확한 카메라 파라미터를 구할 수 있다. 다양한 실험을 통해 제안된 방법이 노이즈에 강하며, 보정에 대한 정확한 신뢰도를 제공함을 보였다.

Multi-constellation Local-area Differential GNSS for Unmanned Explorations in the Polar Regions

  • Kim, Dongwoo;Kim, Minchan;Lee, Jinsil;Lee, Jiyun
    • Journal of Positioning, Navigation, and Timing
    • /
    • 제8권2호
    • /
    • pp.79-85
    • /
    • 2019
  • The mission tasks of polar exploration utilizing unmanned systems such as glacier monitoring, ecosystem research, and inland exploration have been expanded. To facilitate unmanned exploration mission tasks, precise and robust navigation systems are required. However, limitations on the utilization of satellite navigation system are present due to satellite orbital characteristics at the polar region located in a high latitude. The orbital inclination of global positioning system (GPS), which was developed to be utilized in mid-latitude sites, was designed at $55^{\circ}$. This means that as the user is located in higher latitudes, the satellite visibility and vertical precision become worse. In addition, the use of satellite-based wide-area augmentation system (SBAS) is also limited in higher latitude regions than the maximum latitude of signal reception by stationary satellites, which is $70^{\circ}$. This study proposes a local-area augmentation system that additionally utilizes Global Navigation Satellite System (GLONASS) considering satellite navigation system environment in Polar Regions. The orbital inclination of GLONASS is $64.8^{\circ}$, which is suitable in order to ensure satellite visibility in high-latitude regions. In contrast, GLONASS has different system operation elements such as configuration elements of navigation message and update cycle and has a statistically different signal error level around 4 m, which is larger than that of GPS. Thus, such system characteristics must be taken into consideration to ensure data integrity and monitor GLONASS signal fault. This study took GLONASS system characteristics and performance into consideration to improve previously developed fault detection algorithm in the local-area augmentation system based on GPS. In addition, real GNSS observation data were acquired from the receivers installed at the Antarctic King Sejong Station to analyze positioning accuracy and calculate test statistics of the fault monitors. Finally, this study analyzed the satellite visibility of GPS/GLONASS-based local-area augmentation system in Polar Regions and conducted performance evaluations through simulations.

공정 안정성 평가를 위한 새로운 척도 지수 계발 (Development of a New Index to Assess the Process Stability)

  • 김정배;윤원영;서순근
    • 품질경영학회지
    • /
    • 제50권3호
    • /
    • pp.473-490
    • /
    • 2022
  • Purpose: The purpose of this study is to propose a new useful suggestion to monitor the stability of process by developing a stability ratio or index related to investigating how well the process is controlled or operated to the specified target. Methods: The proposed method to monitor the stability of process is building up a new measure index which is making up for the weakness of the existing index in terms of short or long term period of production. This new index is a combined one considering both stability and capability of process to the specification limits. We suppose that both process mean and process variation(or deviation) are changing on time period. Results: The results of this study are as follows: regarding the stability of process as well as capability of process, it was shown that two indices, called SI(stability index) and PI(performance index), can be expressed in two-dimensional X-Y graph simultaneously. This graph is categorized as 4 separated partitions, which are characterized by its numerical value intervals of SI and PI which are evaluated by test statistics. Conclusion: The new revised index is more robust than the existing one in investigating the stability of process in terms of short and long period of production, even in case both process mean and variation are changing.

Application of Hamilton variational principle for vibration of fluid filled structure

  • Khaled Mohamed Khedher;Muzamal Hussain;Rizwan Munir;Saleh Alsulamy;Ayed Eid Alluqmani
    • Advances in nano research
    • /
    • 제15권5호
    • /
    • pp.401-410
    • /
    • 2023
  • Vibration investigation of fluid-filled three layered cylindrical shells is studied here. A cylindrical shell is immersed in a fluid which is a non-viscous one. Shell motion equations are framed first order shell theory due to Love. These equations are partial differential equations which are usually solved by approximate technique. Robust and efficient techniques are favored to get precise results. Employment of the wave propagation approach procedure gives birth to the shell frequency equation. Use of acoustic wave equation is done to incorporate the sound pressure produced in a fluid. Hankel's functions of second kind designate the fluid influence. Mathematically the integral form of the Lagrange energy functional is converted into a set of three partial differential equations. It is also exhibited that the effect of frequencies is investigated by varying the different layers with constituent material. The coupled frequencies changes with these layers according to the material formation of fluid-filled FG-CSs. Throughout the computation, it is observed that the frequency behavior for the boundary conditions follow as; clamped-clamped (C-C), simply supported-simply supported (SS-SS) frequency curves are higher than that of clamped-simply (C-S) curves. Expressions for modal displacement functions, the three unknown functions are supposed in such way that the axial, circumferential and time variables are separated by the product method. Computer software MATLAB codes are used to solve the frequency equation for extracting vibrations of fluid-filled.