• 제목/요약/키워드: Gaussian processes

검색결과 142건 처리시간 0.019초

AWGN 환경에서 가우시안 분포와 표준편차를 이용한 잡음 제거 (Noise Removal using Gaussian Distribution and Standard Deviation in AWGN Environment)

  • 천봉원;김남호
    • 한국정보통신학회논문지
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    • 제23권6호
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    • pp.675-681
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    • 2019
  • 잡음 제거는 영상 처리의 선행 과정에서 필수적으로 이루어지며, 잡음의 종류와 영상의 환경에 따라 다양한 기법들이 연구되고 있다. 그러나 기존 AWGN(additive white gaussian noise) 제거 기법들은 고주파 성분이 많은 영상에 대해 블러링 현상을 일으키며 다소 부족한 성능을 보인다. 따라서 본 논문에서는 영상의 AWGN 제거 과정에서 블러링 현상을 최소화하기 위한 알고리즘을 제안하였다. 제안한 알고리즘은 마스크 내부 화소 특성에 따라 고주파 성분필터와 저주파 성분 필터를 설정하며, 기준치에 입력 영상을 가감하여 각 필터의 출력을 계산한다. 최종 출력은 두 필터의 출력에 표준편차와 가우시안 분포를 통해 계산된 가중치를 적용한 것을 합산하여 구한다. 제안한 알고리즘은 기존 방법에 비해 AWGN 제거 성능이 우수하였으며, 시뮬레이션을 통해 이를 확인하였다.

가우시안 프로세스를 이용한 실내 환경에서 소형무인기에 적합한 SLAM 시스템 개발 (Development of a SLAM System for Small UAVs in Indoor Environments using Gaussian Processes)

  • 전영산;최종은;이정욱
    • 제어로봇시스템학회논문지
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    • 제20권11호
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    • pp.1098-1102
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    • 2014
  • Localization of aerial vehicles and map building of flight environments are key technologies for the autonomous flight of small UAVs. In outdoor environments, an unmanned aircraft can easily use a GPS (Global Positioning System) for its localization with acceptable accuracy. However, as the GPS is not available for use in indoor environments, the development of a SLAM (Simultaneous Localization and Mapping) system that is suitable for small UAVs is therefore needed. In this paper, we suggest a vision-based SLAM system that uses vision sensors and an AHRS (Attitude Heading Reference System) sensor. Feature points in images captured from the vision sensor are obtained by using GPU (Graphics Process Unit) based SIFT (Scale-invariant Feature Transform) algorithm. Those feature points are then combined with attitude information obtained from the AHRS to estimate the position of the small UAV. Based on the location information and color distribution, a Gaussian process model is generated, which could be a map. The experimental results show that the position of a small unmanned aircraft is estimated properly and the map of the environment is constructed by using the proposed method. Finally, the reliability of the proposed method is verified by comparing the difference between the estimated values and the actual values.

Model selection algorithm in Gaussian process regression for computer experiments

  • Lee, Youngsaeng;Park, Jeong-Soo
    • Communications for Statistical Applications and Methods
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    • 제24권4호
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    • pp.383-396
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    • 2017
  • The model in our approach assumes that computer responses are a realization of a Gaussian processes superimposed on a regression model called a Gaussian process regression model (GPRM). Selecting a subset of variables or building a good reduced model in classical regression is an important process to identify variables influential to responses and for further analysis such as prediction or classification. One reason to select some variables in the prediction aspect is to prevent the over-fitting or under-fitting to data. The same reasoning and approach can be applicable to GPRM. However, only a few works on the variable selection in GPRM were done. In this paper, we propose a new algorithm to build a good prediction model among some GPRMs. It is a post-work of the algorithm that includes the Welch method suggested by previous researchers. The proposed algorithms select some non-zero regression coefficients (${\beta}^{\prime}s$) using forward and backward methods along with the Lasso guided approach. During this process, the fixed were covariance parameters (${\theta}^{\prime}s$) that were pre-selected by the Welch algorithm. We illustrated the superiority of our proposed models over the Welch method and non-selection models using four test functions and one real data example. Future extensions are also discussed.

방향 모호성을 고려한 수중 음향 기반의 2차원 위치 추정 기술 개발 (Acoustic based Two Dimensional Underwater Localization Considering Directional Ambiguity)

  • 최진우;이영준;정종대;박정홍;최현택
    • 로봇학회논문지
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    • 제12권4호
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    • pp.402-410
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    • 2017
  • Acoustic based localization is essential to operate autonomous robotic systems in underwater environment where the use of sensorial data is limited. This paper proposes a localization method using artificial underwater acoustic sources. The proposed method acquires directional angles of acoustic sources using time difference of arrivals of two hydrophones. For this purpose, a probabilistic approach is used for accurate estimation of the time delay. Then, Gaussian sum filter based SLAM technique is used to localize both acoustic sources and underwater vehicle. It is performed by using bearing of acoustic sources as measurement and inertial sensors as prediction model. The proposed method can handle directional ambiguity of time difference based source localization by generating Gaussian models corresponding to possible locations of both front and back sides. Through these processes, the proposed method can provide reliable localization method for underwater vehicles without any prior information of source locations. The performance of the proposed method is verified by experimental results conducted in a real sea environment.

WEAK CONVERGENCE FOR STATIONARY BOOTSTRAP EMPIRICAL PROCESSES OF ASSOCIATED SEQUENCES

  • Hwang, Eunju
    • 대한수학회지
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    • 제58권1호
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    • pp.237-264
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    • 2021
  • In this work the stationary bootstrap of Politis and Romano [27] is applied to the empirical distribution function of stationary and associated random variables. A weak convergence theorem for the stationary bootstrap empirical processes of associated sequences is established with its limiting to a Gaussian process almost surely, conditionally on the stationary observations. The weak convergence result is proved by means of a random central limit theorem on geometrically distributed random block size of the stationary bootstrap procedure. As its statistical applications, stationary bootstrap quantiles and stationary bootstrap mean residual life process are discussed. Our results extend the existing ones of Peligrad [25] who dealt with the weak convergence of non-random blockwise empirical processes of associated sequences as well as of Shao and Yu [35] who obtained the weak convergence of the mean residual life process in reliability theory as an application of the association.

상태(狀態)벡터 모형(模型)에 의한 하천유출(河川流出)의 실시간(實時間) 예측(豫測)에 관한 연구(研究) (Real-Time Prediction of Streamflows by the State-Vector Model)

  • 서병하;윤용남;강관원
    • 대한토목학회논문집
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    • 제2권3호
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    • pp.43-56
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    • 1982
  • 상태공간(狀態空間) 개념(槪念)에 기초(基礎)를 두어 시스템의 동적(動的) 거동(擧動)을 나타낸 Kalman filter와 자기공진(自己共振) 예측자(豫測子)의 순환(循還) 알고리즘에 의한 예측방법(豫測方法)을 연구(硏究)하여 하천유출(河川流出) 예측(豫測)에의 적용성(適用性)을 검토(檢討)하고 그 결과(結果)를 제시하였다. 강우(降雨)-유출과정(流出過程)의 동적(動的) 거동(擧動)을 자색(白色) Gaussian 잡음(雜音)이 있는 선형(線型), 이산형(離散型)시스템으로 보아서 낮은 차수(次數)의 ARMA 과정(過程)으로 나타내었으며 예측모형(豫測模型)의 상태(狀態)벡터를 random walk로 나타내었다. 예측오차(豫測誤差)에 대한 통계적(統計的)인 분석(分析)으로 모형구조(模型構造)를 결정하였으며 적용(適用)된 예측(豫測)알고리즘의 검정(檢正)을 위하여 시우량(時雨量)과 시유량(時流量)의 과거(過去) 기록치(記錄値)를 사용하였다. 예측결과(豫測結果)를 분석(分析)하나 Kalman filter에 의한 알고리즘이 자기공진(自己共振) 예측자(豫測子)보다 우수하다는 것을 알 수 있었다.

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방향성 다중 모폴로지컬 필터를 이용한 영상 복원 (Image Restoration Using Directional Multistage Morphological Filter)

  • 배재휘;최진수;심재창;하영호
    • 전자공학회논문지B
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    • 제30B권9호
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    • pp.76-83
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    • 1993
  • A morphological filtering algorithm using directional information is presented. Directional filtering technique is effective in reducing noises and preserving edges. The proposed directional filtering is composed of two stage filtering processes. The opening and closing operations in the lst stage are performed for the pixels is aligned to the vertical, horizontal, and two diagonal directions, respectively. The opening operation supresses the positive impulse noises, while the closing operation the negative ones. Then, each directional result and their average value are filtered by the opening or closing operations in the 2nd stage. The averaging operation diminishes the effects of Gaussian noises in the homogeneous regions. Thus, the morphological operation in the 1 st stageremoves the impulse noises and in 2nd stage reduces. Gaussian ones. The experimental results show that the proposed filtering is superior to the existing nonlinear filtering in the aspects of the subjective quality. Also, the morphological filtering method reduces the computational loads.

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Weak Convergence of Processes Occurring in Statistical Mechanics

  • Jeon, Jong-Woo
    • Journal of the Korean Statistical Society
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    • 제12권1호
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    • pp.10-17
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    • 1983
  • Let $X^{(n)}_j, j=1,2,\cdots,n, n=1,2,\cdots$ be a triangular array of random variables which arise naturally in a study of ferromagnetism in statistical mechanics. This paper presents weak convergence of random function $W_n(t)$, an appropriately normalized partial sum process based on $S^{(n)}_n = X^{(n)}_i+\cdot+X^{(n)}_n$. The limiting process W(t) is shown to be Gaussian when weak dependence exists. At the critical point where the change form weak to strong dependence takes place, W(t) turns out to be non-Gaussian. Our results are direct extensions of work by Ellis and Newmam (1978). An example is considered and the relation of these results to critical phenomena is briefly explained.

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Restoration of Images Contaminated by Mixed Gaussian and Impulse Noise using a Complex Method

  • Yinyu, Gao;Kim, Nam-Ho
    • Journal of information and communication convergence engineering
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    • 제9권3호
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    • pp.336-340
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    • 2011
  • Many approaches to image restoration are aimed at removing either gauss or impulse noise. This is because both types of degradation processes are distinct in nature, and hence they are easier to manage when considered separately. Nevertheless, it is possible to find them operating on the same image, which produces a hard damage. This happens when an image, already contaminated by Gaussian noise in the image acquisition procedure, undergoes impulsive corruption during its digital transmission. Here we proposed an algorithm first judge the type of the noise according to the difference values of pixel's neighborhood region and impulse noise's characteristic. Then removes the gauss noise by modified weighted mean filter and removes the impulse noise by modified nonlinear filter. The result of computer simulation on test images indicates that the proposed method is superior to traditional filtering algorithms. The proposed method can not only remove mixed noise effectively, but also preserve image details.

표면 근전도 신호 피이크 검출을 위한 디지털 분수 차수 저역통과 미분기 (Digital Fractional Order Low-pass Differentiators for Detecting Peaks of Surface EMG Signal)

  • 이진;김성환
    • 전기학회논문지
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    • 제62권7호
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    • pp.1014-1019
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    • 2013
  • Signal processing techniques based on fractional order calculus have been successfully applied in analyzing heavy-tailed non-Gaussian signals. It was found that the surface EMG signals from the muscles having nuero-muscular disease are best modeled by using the heavy-tailed non-gaussian random processes. In this regard, this paper describes an application of digital fractional order lowpass differentiators(FOLPD, weighted FOLPD) based on the fractional order calculus in detecting peaks of surface EMG signal. The performances of the FOLPD and WFOLPD are analyzed based on different filter length and varying MUAP wave shape from recorded and simulated surface EMG signals. As a results, the WFOLPD showed better SNR improving factors than the existing WLPD and to be more robust under the various surface EMG signals.