• 충청수학회지
• /
• 제16권1호
• /
• pp.103-112
• /
• 2003

We consider multiplier ideals on CR manifolds, which is associated to Kiremidjian's work on CR embedding problem. Similar to the Kohn's result, we found that the multipliers form a nontrivial radical ideal.

• ETRI Journal
• /
• 제46권1호
• /
• pp.35-47
• /
• 2024

This study introduces CR-M-SpanBERT, a coreference resolution (CR) model that utilizes multiple embedding-based span bidirectional encoder representations from transformers, for antecedent recognition in natural language (NL) text. Information extraction studies aimed to extract knowledge from NL text autonomously and cost-effectively. However, the extracted information may not represent knowledge accurately owing to the presence of ambiguous entities. Therefore, we propose a CR model that identifies mentions referring to the same entity in NL text. In the case of CR, it is necessary to understand both the syntax and semantics of the NL text simultaneously. Therefore, multiple embeddings are generated for CR, which can include syntactic and semantic information for each word. We evaluate the effectiveness of CR-M-SpanBERT by comparing it to a model that uses SpanBERT as the language model in CR studies. The results demonstrate that our proposed deep neural network model achieves high-recognition accuracy for extracting antecedents from NL text. Additionally, it requires fewer epochs to achieve an average F1 accuracy greater than 75% compared with the conventional SpanBERT approach.

• 대한수학회지
• /
• 제40권4호
• /
• pp.695-708
• /
• 2003

We study the existence of solutions for overdetermined PDE systems that admit prolongation to a complete system. We reduce the problem to a Pfaffian system on a submanifold of the jet space of unknown functions and then express the integrability conditions in terms of the coefficients of the original system. As possible applications we present some local problems in CR geometry: determining the CR embeddibility into spheres and the existence of infinitesimal CR automorphisms.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제22권1호
• /
• pp.35-56
• /
• 2015

In this paper, we classify all nonconstant smooth CR maps from a sphere $S_{n,1}{\subset}\mathbb{C}^n$ with n > 3 to the Shilov boundary $S_{p,q}{\subset}\mathbb{C}^{p{\times}q}$ of a bounded symmetric domain of Cartan type I under the condition that p - q < 3n - 4. We show that they are either linear maps up to automorphisms of $S_{n,1}$ and $S_{p,q}$ or D'Angelo maps. This is the first classification of CR maps into the Shilov boundary of bounded symmetric domains other than sphere that includes nonlinear maps.

• 호남수학학술지
• /
• 제46권1호
• /
• pp.47-59
• /
• 2024

The purpose of the Nash embedding theorem was to take extrinsic help for studying the intrinsic Riemannian geometry. To realize this aim in actual practice there is a need for optimal relationships between the known intrinsic invariants and the main extrinsic invariants for Riemannian submanifolds. This paper aims to provide an optimal relationship for CR-warped product submanifolds of locally conformal Kähler manifolds.

• International Journal of Concrete Structures and Materials
• /
• 제18권1E호
• /
• pp.17-22
• /
• 2006

Artificial cracks were made in the cover concrete of specimens embedding ten types of steel rebars of different Cr contents. The research aims for developing Cr-bearing steel rebars resistant to macrocell corrosion environments induced by cracking in cover concrete. The cracks were subjected to intensive penetration of carbon dioxide (carbonation specimens) to form macrocells. The carbonation specimens were then treated with accelerated corrosion curing, during which current macrocell corrosion density was measured. The corrosion area and loss from corrosion were also measured at the end of 105 cycles of this accelerated curing. The results of the study showed that Cr-bearing steel with Cr content of 5% or more suppressed corrosion in a macrocell corrosion environment induced by the differences in the pH values due to carbonation of cracked parts. Cr-bearing steels with Cr content of 7% or more are proven to possess excellent corrosion resistance.

• KSII Transactions on Internet and Information Systems (TIIS)
• /
• 제18권1호
• /
• pp.192-210
• /
• 2024

Most frequency-domain remote sensing image watermarking algorithms embed watermarks at random locations, which have negative impact on the watermark invisibility. In this study, we propose an adaptive watermarking scheme for remote sensing images that considers the information complexity to select where to embed watermarks to improve watermark invisibility without affecting algorithm robustness. The scheme converts remote sensing images from RGB to YCbCr color space, performs two-level DWT on luminance Y, and selects the high frequency coefficient of the low frequency component (HH^Y₂) as the watermark embedding domain. To achieve adaptive embedding, HH^Y₂ is divided into several 8*8 blocks, the entropy of each sub-block is calculated, and the block with the maximum entropy is chosen as the watermark embedding location. During embedding phase, the watermark image is also decomposed by two-level DWT, and the resulting high frequency coefficient (HH^W₂) is then embedded into the block with maximum entropy using α- blending. The experimental results show that the watermarked remote sensing images have high fidelity, indicating good invisibility. Under varying degrees of geometric, cropping, filtering, and noise attacks, the proposed watermarking can always extract high identifiable watermark images. Moreover, it is extremely stable and impervious to attack intensity interference.

• 대한전자공학회논문지SP
• /
• 제47권4호
• /
• pp.20-27
• /
• 2010

본 논문에서는 웨이블릿 패킷 변환(WPT) 기반의 컬러화 알고리즘에서 슈도랜덤코드(pseudo-random code) 정보의 삽입을 통해 복원된 컬러 영상에서 채도를 보상하는 방법을 제안한다. 우선 컬러 영상을 흑백 영상으로 변환하는 과정(컬러-그레이변환)에서 RGB 영상을 YCbCr 영상으로 변환한 후, Y 영상에 2레벨 웨이블릿 패킷 변환을 적용하여 정보량이 최소인 부영역(수평의 수직, 수직의 수평 부영역)에 CbCr 영상을 삽입한다. 이때 프린팅 및 스캐닝 과정에서 발생하는 채도 열화를 보상하기 위해 원본 영상 CbCr의 최대값 및 최소값을 슈도랜덤코드 형태로 변환하여 대각의 대각 부영역에 역시 삽입한다. 슈도랜덤코드는 CbCr의 최대값 및 최소값을 흰색 점의 개수로 표현한 영상으로, 컬러 복원 과정(그레이-컬러변환)에서 이를 추출하여 원본의 CbCr 최대값 및 최소값과 복원 영상의 CbCr 최대값 및 최소값과의 비를 가중치로 이용함으로써 채도 보상 알고리즘을 수행한다. 실험을 통해 제안된 방법이 복원된 컬러 영상에서 채도를 향상시킴을 색차와 PSNR 수치로 확인할 수 있었다.

• KSII Transactions on Internet and Information Systems (TIIS)
• /
• 제13권4호
• /
• pp.1845-1865
• /
• 2019

Current Internet is designed by lots of service providers with different objects and policies which make the direct deployment of radically new architecture and protocols on Internet nearly impossible without reaching a consensus among almost all of them. Network virtualization is proposed to fend off this ossification of Internet architecture and add diversity to the future Internet. As an important part of network virtualization, virtual network embedding (VNE) problem has received more and more attention. In order to solve the problems of large embedding cost, low acceptance ratio (AR) and environmental adaptability in VNE algorithms, cognitive method is introduced to improve the adaptability to the changing environment and a cognitive virtual network embedding algorithm based on weighted relative entropy (WRE-CVNE) is proposed in this paper. At first, the weighted relative entropy (WRE) method is proposed to select the suitable substrate nodes and paths in VNE. In WRE method, the ranking indicators and their weighting coefficients are selected to calculate the node importance and path importance. It is the basic of the WRE-CVNE. In virtual node embedding stage, the WRE method and breadth first search (BFS) algorithm are both used, and the node proximity is introduced into substrate node ranking to achieve the joint topology awareness. Finally, in virtual link embedding stage, the CPU resource balance degree, bandwidth resource balance degree and path hop counts are taken into account. The path importance is calculated based on the WRE method and the suitable substrate path is selected to reduce the resource fragmentation. Simulation results show that the proposed algorithm can significantly improve AR and the long-term average revenue to cost ratio (LTAR/CR) by adjusting the weighting coefficients in VNE stage according to the network environment. We also analyze the impact of weighting coefficient on the performance of the WRE-CVNE. In addition, the adaptability of the WRE-CVNE is researched in three different scenarios and the effectiveness and efficiency of the WRE-CVNE are demonstrated.

• 한국표면공학회지
• /
• 제28권5호
• /
• pp.309-319
• /
• 1995

The substrate patterned with the dry film has the cavity which has the $90^{\circ}$ wall angle. Electroplating Cu on this patterned substrate has the differrent shape history with the electrochemical parameters. By potential theory model, the reason of the variation of the shape change with the these parameters was investigated. The shape history could be explained by the current flow and the correlated area effects. By embedding the Ni layer between the Cu layers, shape history with the time was obtained experimentally and the results was compared with the numerical analysis by BEM. The adhesive Cr-Cu film in TAB application was etched with the various condition. The best condition for the etchant of the Cr-Cu film was found.