• 호남수학학술지
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• 제38권2호
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• pp.325-335
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• 2016

In the present paper, we define the generalized extended Whittaker function in terms of generalized extended conflent hypergeometric function of the first kind. We also study its integral representation, some integral transforms and its derivative.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제21권2호
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• pp.141-145
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• 2014

In the paper, by directly verifying an inequality which gives a lower bound for the first order modified Bessel function of the first kind, the authors supply a new proof for the complete monotonicity of a difference between the exponential function $e^{1/t}$ and the trigamma function ${\psi}^{\prime}(t)$ on (0, ${\infty}$).

• 한국통신학회논문지
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• 제36권7C호
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• pp.428-434
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• 2011

Recently, subspace analysis has raised its performance to a higher level through the adoption of kernel-based nonlinearity. Especially, the radial basis function, based on its nonparametric nature, has shown promising results in face recognition. However, due to the endemic small sample size problem of face data, the conventional kernel-based feature extraction methods have difficulty in data representation. In this paper, we introduce a novel variant of the RBF kernel to alleviate this problem. By adopting the concept of the nearest feature line classifier, we show both effectiveness and generalizability of the proposed method, particularly regarding the small sample size issue.

• 호남수학학술지
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• 제38권1호
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• pp.9-15
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• 2016

In this paper, the authors establish some double inequalities concerning the (q, k)-deformed Gamma function. These inequalities emanate from certain problems of traffic flow. The procedure makes use of the integral representation of the (q, k)-deformed Gamma function.

• 호남수학학술지
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• 제31권4호
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• pp.579-590
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• 2009

The precise form of singular functions, singular function representation and the extraction form for the stress intensity factor play an important role in the singular function methods to deal with the domain singularities for the Poisson problems with most common boundary conditions, e.q. Dirichlet or Mixed boundary condition [2, 4]. In this paper we give an elementary step to get the singular functions of the solution for Poisson problem with Neumann boundary condition or Robin boundary condition. We also give singular function representation and the extraction form for the stress intensity with a result showing the number of singular functions depending on the boundary conditions.

• 한국콘텐츠학회논문지
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• 제22권3호
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• pp.112-120
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• 2022

이 논문은 온라인 교육 콘텐츠에 나타난 젠더의 문화적 악순환 양상을 살펴보기 위하여 아동 전문 웹툰 플랫폼, 아이나무툰(EBS툰)의 인기 웹툰 상위 5위 작품에 재현된 젠더 양상을 검토하였다. 아동의 성별을 구분하는 외모 재현 양상, 성별에 따른 인물의 욕망과 문제 상황에서의 심리, 작품에서 수행하는 기능 등을 여성주의 시각에서 비판적으로 분석하였다. 여성과 남성의 외모 특질은 젠더 고정 관념을 답습하는 경우가 많았다. 대부분 여성은 긴 머리, 남성은 짧은 머리였으며 원피스를 입은 여성이 많았다. 그러나 심리적, 기능적 특질은 젠더의 상투성을 깬 측면이 있었다. 주인공의 성별 비중이 비슷하고, 양성 모두 해결사나 구원자로 기능하며 용감하고 지혜롭게 문제 상황을 극복해 나갔다. 그런데 주인공의 젠더 재현에서 젠더 고정 관념이 약하게 나타난 작품일수록 순위가 높았다. 이러한 사실은 아동 감상자들의 비판적 수용과 선택이 젠더의 문화적 악순환을 끊어내는 데 기여할 수 있음을 시사한다.

• International Journal of Naval Architecture and Ocean Engineering
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• 제7권2호
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• pp.375-389
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• 2015

An improved boundary element method is presented for numerical analysis of hydrodynamic behavior of marine structures. A new algorithm for numerical solution of the finite depth free-surface Green function in three dimensions is developed based on multiple series representations. The whole range of the key parameter R/h is divided into four regions, within which different representation is used to achieve fast convergence. The well-known epsilon algorithm is also adopted to accelerate the convergence. The critical convergence criteria for each representation are investigated and provided. The proposed method is validated by several well-documented benchmark problems.

• Journal of the Korean Statistical Society
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• 제36권2호
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• pp.209-228
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• 2007

Given scattered surface air temperatures observed by a network of weather stations, it is an important problem to estimate the entire temperature field for every location on the globe. Recently, a multi-scale spherical basis function (SBF) representation was proposed by Li (1999) for representing scattered data on the sphere. However, for a successful application of Li (1999)'s method, some practical issues such as network design, bandwidth selection of SBFs and initial coefficients are to be resolved. This paper proposes automatic procedures to design network and to select bandwidths. This paper also considers a preprocessing problem to obtain a stable initial coefficients from scattered data. Experiments with real temperature data demonstrate the promising empirical properties of the proposed approaches.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제16권3호
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• pp.813-829
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• 2022

In multi-view subspace clustering, how to integrate the complementary information between perspectives to construct a unified representation is a critical problem. In the existing works, the unified representation is usually constructed in the original data space. However, when the data representation in each view is very diverse, the unified representation derived directly in the original data domain may lead to a huge information loss. To address this issue, different to the existing works, inspired by the latest revelation that the data across all perspectives have a very similar or close spectral block structure, we try to construct the unified representation in the spectral embedding domain. In this way, the complementary information across all perspectives can be fused into a unified representation with little information loss, since the spectral block structure from all views shares high consistency. In addition, to capture the global structure of data on each view with high accuracy and robustness both, we propose a novel low-rank approximation via the tight lower bound on the rank function. Finally, experimental results prove that, the proposed method has the effectiveness and robustness at the same time, compared with the state-of-art approaches.

• International Journal of Internet, Broadcasting and Communication
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• 제15권3호
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• pp.66-72
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• 2023

Little attention appears to have been paid to the relevance of learning a good representation function in solving long tail tasks. Therefore, we propose a new loss function to ensure a good representation is learnt while learning to classify. We call this loss function Triplet Class-Wise Difficulty-Based (TriCDB-CE) Loss. It is a combination of the Triplet Loss and Class-wise Difficulty-Based Cross-Entropy (CDB-CE) Loss. We prove its effectiveness empirically by performing experiments on three benchmark datasets. We find improvement in accuracy after comparing with some baseline methods. For instance, in the CIFAR-10-LT, 7 percentage points (pp) increase relative to the CDB-CE Loss was recorded. There is more room for improvement on Places-LT.