• 제목/요약/키워드: Asymptotic Analysis

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차원축소 방법을 이용한 평균처리효과 추정에 대한 개요 (Overview of estimating the average treatment effect using dimension reduction methods)

  • 김미정
    • 응용통계연구
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    • 제36권4호
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    • pp.323-335
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    • 2023
  • 고차원 데이터의 인과 추론에서 고차원 공변량의 차원을 축소하고 적절히 변형하여 처리와 잠재 결과에 영향을 줄 수 있는 교란을 통제하는 것은 중요한 문제이다. 평균 처리 효과(average treatment effect; ATE) 추정에 있어서, 성향점수와 결과 모형 추정을 이용한 확장된 역확률 가중치 방법이 주로 사용된다. 고차원 데이터의 분석시 모든 공변량을 포함한 모수 모형을 이용하여 성향 점수와 결과 모형 추정을 할 경우, ATE 추정량이 일치성을 갖지 않거나 추정량의 분산이 큰 값을 가질 수 있다. 이런 이유로 고차원 데이터에 대한 적절한 차원 축소 방법과 준모수 모형을 이용한 ATE 방법이 주목 받고 있다. 이와 관련된 연구로는 차원 축소부분에 준모수 모형과 희소 충분 차원 축소 방법을 활용한 연구가 있다. 최근에는 성향점수와 결과 모형을 추정하지 않고, 차원 축소 후 매칭을 활용한 ATE 추정 방법도 제시되었다. 고차원 데이터의 ATE 추정 방법연구 중 최근에 제시된 네 가지 연구에 대해 소개하고, 추정치 해석시 유의할 점에 대하여 논하기로 한다.

Population dynamics and stock status of spotted sardinella (Amblygaster sirm, Walbaum, 1792) in the Natuna Sea, Indonesia

  • Moh Fauzi;Tirtadanu;Andina Ramadhani Putri Pane;Siti Mardlijah;Tegoeh Noegroho;Achmad Zamroni;Thomas Hidayat;Heri Widiyastuti;Budi Nugraha;Hufiadi;Prawira Atmaja Tampubolon
    • Fisheries and Aquatic Sciences
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    • 제27권4호
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    • pp.256-264
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    • 2024
  • Small pelagic fish populations have long been exploited by various fishing gears in the Natuna Sea, and since the 1970s, purse seine exploitation has expanded to offshore fishing grounds. Various small pelagic fish species are exploited from these waters including spotted sardinella (Amblygaster sirm). This research was conducted for 22 months, from March 2019 to December 2020. The fish sample was taken from the purse seine fleet's catch in the fisheries management area (FMA) 711 Natuna Sea and Karimata Strait, which was brought to Pemangkat fishing port in the West Kalimantan Province, Indonesia. This paper aims to determine the exploitation status of spotted sardinella in the Natuna Sea as a recommendation material for management policies. The methods used in this analysis are estimated age, cohort, population parameters, and spawning potential ratio of spotted sardinella. The results show three primary cohorts of spotted sardinella in the Natuna Sea, with ages ranging from 9 months to 3.1 years and a maximum attainable age (longevity) of 4.3 years. The asymptotic value (L) is 21.79 cmFL in length, with a growth rate (K) of 0.65 per year. The natural mortality rate (M) was 1.19, the total mortality rate (Z) was 2.19, and the fishing mortality rate (F) was 0.99. The exploitation rate (E) was 0.45 and the stock status was still in a sustainable condition. Therefore, the sardinella fisheries can be developed using a precautionary approach and focus on the ecosystem sustainability of FMA 711.

Comparative assessment of age, growth and food habit of the black-chinned tilapia, Sarotherodon melanotheron (Rüppell, 1852), from a closed and open lagoon, Ghana

  • Zuh, Cephas Kwesi;Abobi, Seth Mensah;Campion, Benjamin Betey
    • Fisheries and Aquatic Sciences
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    • 제22권12호
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    • pp.31.1-31.12
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    • 2019
  • Background: The black-chinned tilapia, Sarotherodon melanotheron, is the most abundant fish species in the Nakwa (an open lagoon) and Brenu (a closed lagoon) in the Central Region of Ghana. Aspects of the life history characteristics and the ecology of the fish populations in both lagoons were studied to assess the bio-ecological status of this important resource. Methods: Fish samples were obtained from fishermen that fish on the Nakwa and Brenu lagoons using cast, drag and gill nets. The age of the fish was assessed from otoliths analysis and its growth modelled following the von Bertalanffy growth function. Morphometric characteristics of the fish populations were analysed using power regression and ANOVA for parameters comparisons, and Student's t test to determine whether species grew isometrically. The percentage occurrence method was used to analyse the stomach contents of the fish. Results: A total of 382 fish samples from both lagoons were measured, comprising 209 from Nakwa lagoon and 176 from Brenu lagoon. The size and weight of fish samples ranged between 3.9-11.5 cm total length and 1.0-27.3 g for Nakwa Lagoon and 5.6-12.8 cm total length and 3.2-29.8 g for the Brenu Lagoon. The estimated von Bertalanffy growth parameters were L∞ = 12.04 cm and K = 2.76/year for the Nakwa Lagoon samples and L∞ = 13.44 cm and K = 3.27/year for Brenu Lagoon samples. Daily otolith incremental rate ranged from 0.01-0.03 mm per day to 0.01-0.02 mm per day for Nakwa and Brenu lagoons, respectively. Stomach content analysis of the fish samples revealed that the species are planktivorous and the range of food varied between the lagoons. Green algae were the most prevalent food item in the stomachs of the fish samples from Nakwa with the frequency of 69% whilst diatoms (80.5%) were most prevalent phytoplanktonic food item for the fish in Brenu lagoon. Conclusions: The estimates of asymptotic length for the species in both lagoons are close to known values of the species length at first sexual maturity and points to intensive fishing pressure. As a consequence, a comprehensive sample-based survey is required in both lagoons to derive estimates of management reference points. The results of the stomach content analysis are beneficial to the construction of diet matrix for ecosystem models of the two systems.

Why Gabor Frames? Two Fundamental Measures of Coherence and Their Role in Model Selection

  • Bajwa, Waheed U.;Calderbank, Robert;Jafarpour, Sina
    • Journal of Communications and Networks
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    • 제12권4호
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    • pp.289-307
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    • 2010
  • The problem of model selection arises in a number of contexts, such as subset selection in linear regression, estimation of structures in graphical models, and signal denoising. This paper studies non-asymptotic model selection for the general case of arbitrary (random or deterministic) design matrices and arbitrary nonzero entries of the signal. In this regard, it generalizes the notion of incoherence in the existing literature on model selection and introduces two fundamental measures of coherence-termed as the worst-case coherence and the average coherence-among the columns of a design matrix. It utilizes these two measures of coherence to provide an in-depth analysis of a simple, model-order agnostic one-step thresholding (OST) algorithm for model selection and proves that OST is feasible for exact as well as partial model selection as long as the design matrix obeys an easily verifiable property, which is termed as the coherence property. One of the key insights offered by the ensuing analysis in this regard is that OST can successfully carry out model selection even when methods based on convex optimization such as the lasso fail due to the rank deficiency of the submatrices of the design matrix. In addition, the paper establishes that if the design matrix has reasonably small worst-case and average coherence then OST performs near-optimally when either (i) the energy of any nonzero entry of the signal is close to the average signal energy per nonzero entry or (ii) the signal-to-noise ratio in the measurement system is not too high. Finally, two other key contributions of the paper are that (i) it provides bounds on the average coherence of Gaussian matrices and Gabor frames, and (ii) it extends the results on model selection using OST to low-complexity, model-order agnostic recovery of sparse signals with arbitrary nonzero entries. In particular, this part of the analysis in the paper implies that an Alltop Gabor frame together with OST can successfully carry out model selection and recovery of sparse signals irrespective of the phases of the nonzero entries even if the number of nonzero entries scales almost linearly with the number of rows of the Alltop Gabor frame.

선형 캘리브레이션에서 베이지안 실험계획과 기존의 최적실험계획과의 효과비교 (Performance of a Bayesian Design Compared to Some Optimal Designs for Linear Calibration)

  • 김성철
    • 응용통계연구
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    • 제10권1호
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    • pp.69-84
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    • 1997
  • 선형 캘리브레이션 실험계획 문제에 대하여, 베이지안 의사결정론을 이용하여 평균제곱오차손실을 최소화한 Kim(1988, 1993)의 실험계획과 관련 문헌의 결과인 몇 가지 최적계획을 비교한다. 비교대상 실험계획으로서 고전적 추정량의 점근분산을 최소화하는 Buonaccorsi(1986)의 최적계획, 회귀분석 모형에서 $ M(x) = \sum x_i x_i '$의 함수를 최대화 또는 최소화하는 D-optimal 또는 A-optimal 계획, Hunter and Lamboy(1981)가 베이지안 추정량의 특성을 설명하기 위하여 그 논문에서 예로 들었던 실험계획을 고려한다. 서로 다른 기준에 의한 최적계획을 비교하기 위해서 우선 기대사후분산을 계산하여 비교하고 몇가지 사전분포에 대하여 몬테칼로 시뮬레이션을 통한 평균분산과 HPD 구간의 크기를 비교한다.

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다중 사용자 릴레이 시스템에서 감소된 피드백 정보를 이용한 두 단계 스케줄링 기법 (Two-step Scheduling With Reduced Feedback Overhead in Multiuser Relay Systems)

  • 장용업;신원용;김아정
    • 한국통신학회논문지
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    • 제36권5A호
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    • pp.511-520
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    • 2011
  • 본 논문은 다중 사용자 amplify-and-forward relay 시스템에서 전송 모드, 즉, 한 홉 혹은 두 홉 전송, 그리고 적절한 사용자를 두 단계로 선택하는 다중 사용자 스케줄링 기법을 소개한다. 제안하는 다중 사용자 스케줄링을 수행하였을 경우 두 가지 전송 모드별 평균 achievable rate의 닫힘 꼴 표현을 유도하고 단말 수가 무한히 증가할 때 평균 achievable rate에 대한 점근적인 결과도 분석한다. 평균 achievable rate 분석에 기반하여 두 단계 스케줄링 알고리즘을 수행하는데, 먼저 전송 모드 선택을 하고, 그 다음 선택된 전송 모드에 대한 순간 signal-to-noise ratio (SNR)을 기지국으로 피드백 함으로써 이를 이용한 부분적인 피드백 정보를 기반으로 사용자 선택을 수행한다. 또한 다중 사용자 diversity gain이 최대로 취득되는 평균 SNR 조건도 분석하고 추가로 특정 조건에서 피드백 양을 더 줄일 수 있는 방안에 대해 조사한다. 제안된 스케줄링 알고리즘은 모든 전송 모드 (즉, 한홉과 두 홉 전송 모드)에 대한 instantaneous SNR을 피드백하여 최적 다중 다용자 스케줄링을 할 경우와 유사한 achievable rate을 보인다. 반면 제안 기법의 피드백 양은 최적 기법에 비해 대략 절반으로 줄어드는 것을 확인한다.

Cable vibration control with internal and external dampers: Theoretical analysis and field test validation

  • Di, Fangdian;Sun, Limin;Chen, Lin
    • Smart Structures and Systems
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    • 제26권5호
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    • pp.575-589
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    • 2020
  • For vibration control of stay cables in cable-stayed bridges, viscous dampers are frequently used, and they are regularly installed between the cable and the bridge deck. In practice, neoprene rubber bushings (or of other types) are also widely installed inside the cable guide pipe, mainly for reducing the bending stresses of the cable near its anchorages. Therefore, it is important to understand the effect of the bushings on the performance of the external damper. Besides, for long cables, external dampers installed at a single position near a cable end can no longer provide enough damping due to the sag effect and the limited installation distance. It is thus of interest to improve cable damping by additionally installing dampers inside the guide pipe. This paper hence studies the combined effects of an external damper and an internal damper (which can also model the bushings) on a stay cable. The internal damper is assumed to be a High Damping Rubber (HDR) damper, and the external damper is considered to be a viscous damper with intrinsic stiffness, and the cable sag is also considered. Both the cases when the two dampers are installed close to one cable end and respectively close to the two cable ends are studied. Asymptotic design formulas are derived for both cases considering that the dampers are close to the cable ends. It is shown that when the two dampers are placed close to different cable ends, their combined damping effects are approximately the sum of their separate contributions, regardless of small cable sag and damper intrinsic stiffness. When the two dampers are installed close to the same end, maximum damping that can be achieved by the external damper is generally degraded, regardless of properties of the HDR damper. Field tests on an existing cable-stayed bridge have further validated the influence of the internal damper on the performance of the external damper. The results suggest that the HDR is optimally placed in the guide pipe of the cable-pylon anchorage when installing viscous dampers at one position is insufficient. When an HDR damper or the bushing has to be installed near the external damper, their combined damping effects need to be evaluated using the presented methods.

The Asymptotic Throughput and Connectivity of Cognitive Radio Networks with Directional Transmission

  • Wei, Zhiqing;Feng, Zhiyong;Zhang, Qixun;Li, Wei;Gulliver, T. Aaron
    • Journal of Communications and Networks
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    • 제16권2호
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    • pp.227-237
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    • 2014
  • Throughput scaling laws for two coexisting ad hoc networks with m primary users (PUs) and n secondary users (SUs) randomly distributed in an unit area have been widely studied. Early work showed that the secondary network performs as well as stand-alone networks, namely, the per-node throughput of the secondary networks is ${\Theta}(1/\sqrt{n{\log}n})$. In this paper, we show that by exploiting directional spectrum opportunities in secondary network, the throughput of secondary network can be improved. If the beamwidth of secondary transmitter (TX)'s main lobe is ${\delta}=o(1/{\log}n)$, SUs can achieve a per-node throughput of ${\Theta}(1/\sqrt{n{\log}n})$ for directional transmission and omni reception (DTOR), which is ${\Theta}({\log}n)$ times higher than the throughput with-out directional transmission. On the contrary, if ${\delta}={\omega}(1/{\log}n)$, the throughput gain of SUs is $2{\pi}/{\delta}$ for DTOR compared with the throughput without directional antennas. Similarly, we have derived the throughput for other cases of directional transmission. The connectivity is another critical metric to evaluate the performance of random ad hoc networks. The relation between the number of SUs n and the number of PUs m is assumed to be $n=m^{\beta}$. We show that with the HDP-VDP routing scheme, which is widely employed in the analysis of throughput scaling laws of ad hoc networks, the connectivity of a single SU can be guaranteed when ${\beta}$ > 1, and the connectivity of a single secondary path can be guaranteed when ${\beta}$ > 2. While circumventing routing can improve the connectivity of cognitive radio ad hoc network, we verify that the connectivity of a single SU as well as a single secondary path can be guaranteed when ${\beta}$ > 1. Thus, to achieve the connectivity of secondary networks, the density of SUs should be (asymptotically) bigger than that of PUs.

메탄 산소 연소에 있어서 화염 소화에 대한 연구 (A Study on Flame Extinction in Oxymethane Combustion)

  • 김태형;권오붕;박정;길상인;윤진한;박종호
    • 한국연소학회지
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    • 제20권4호
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    • pp.34-41
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    • 2015
  • Oxy-methane nonpremixed flames diluted with $CO_2$ were investigated to clarify impact of radiation heat loss and chemical effects of additional $CO_2$ to oxidizer stream on flame extinction. Flame stability maps were presented with functional dependencies of critical diluents mole fraction upon global strain rate at several oxidizer stream temperatures in $CH_4-O_2/N_2$, $CH_4-O_2/CO_2$, and $CH_4-O_2/CO_2/N_2$ counterflow flames. The effects of radiation heat loss on the critical diluent mole fractions for flame extinction are not significant even at low strain rate in nonpremixed $CH_4-O_2/N_2$ diffusion flame, whereas those are significant at low strain rate and are negligible at high strain rate (> $200s^{-1}$) in $CH_4-O_2/CO_2$ and $CH_4-O_2/CO_2/N_2$ counterflow flames. Chemical effects of additional $CO_2$ to oxidizer stream on the flame extinction curves were appreciable in both $CH_4-O_2/CO_2$ and $CH_4-O_2/CO_2/N_2$ flames. A scaling analysis based on asymptotic solution of stretched flame extinction was applied. A specific radical index, which could reflect the OH population in main reaction zone via controlling the mixture composition in the oxidizer stream, was identified to quantify the chemical kinetic contribution to flame extinction. A good correlation of predicted extinction limits to those calculated numerically were obtained via the ratio between radical indices and oxidizer Lewis numbers for the target and baseline flames. This offered an effective approach to estimate extinction strain rate of nonpremixed oxy-methane flames permitting air infiltration when the baseline flame was taken to nonpremixed $CH_4-O_2/N_2$ flame.

위상민감도를 이용한 선형구조물의 레벨셋 기반 형상 최적설계 (Level Set Based Shape Optimization of Linear Structures using Topological Derivatives)

  • 윤민호;하승현;김민근;조선호
    • 한국전산구조공학회논문집
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    • 제27권1호
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    • pp.9-16
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    • 2014
  • 레벨셋 기법과 위상민감도를 이용하여 선형 탄성 구조물에 대하여, 초기 설계형상에 의존성이 없는 위상 및 형상 최적설계 기법을 개발하였다. 레벨셋 기법에서는 복잡한 위상 형상변화를 쉽게 다루기 위해 초기 영역은 고정한 채 레벨셋 함수로 표현되는 암시적 이동경계로 경계를 표현한다. 해밀턴-자코비(H-J) 방정식과 수치적으로 강건한 기법인 'up-wind scheme'은 컴플라이언스 목적함수를 최소화시키고 허용체적 제약조건을 만족시키면서, 초기 암시적 경계를 법선 속도장에 따라 최적의 형상으로 이끌어 낸다. 점근적인 정규화 개념에 근거하여, 구멍의 반지름을 0으로 접근시켜 형상 미분의 극한을 취한 위상민감도를 고려하였다. 최적조건으로부터 유도된 라그란지안의 감소 방향을 이용하여 H-J 방정식을 갱신하기 위한 속도장을 결정하였다. 개발한 방법에서는 위상민감도로부터 얻어지는 지표를 이용하여 구멍을 언제든지 어디에서나 생성가능하기 때문에 초기 구멍이 최적 형상을 얻기 위해 요구되지 않는다는 사실을 확인하였다. 또한 효율적인 최적화 과정을 위해서는 구멍 생성을 위한 조정변수의 적절한 선택이 중요함을 확인하였다.