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On the Fine Spectrum of the Lower Triangular Matrix B(r, s) over the Hahn Sequence Space

  • Das, Rituparna
    • Kyungpook Mathematical Journal
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    • v.57 no.3
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    • pp.441-455
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    • 2017
  • In this article we have determined the spectrum and fine spectrum of the lower triangular matrix B(r, s) on the Hahn sequence space h. We have also determined the approximate point spectrum, the defect spectrum and the compression spectrum of the operator B(r, s) on the sequence space h.

The study on the Intelligent Control of Robot using Fuzzy Inverse Kinematics Mapping (Fuzzy Inverse Kinematics Mapping을 이용한 로봇의 지능제어에 관한 연구)

  • 김관형;이상배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1996.10a
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    • pp.166-171
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    • 1996
  • Generally, when we control the robot, we should calculate exactly Inverse Kinematics. However, Inverse Kinematics calculation is complex and it takes much time for the manipulator to control in real-time. Therefore, the calculation of Inverse Kinematics can result in significant control delay in real time. In this paper, we will present that Inverse Kinematics can be calculated through Fuzzy Logic Mapping, Based on an exact solution through fuzzy reasoning instead of Inverse Kinematics calculation Also, the result provides sufficient precision and transient tracking error can be controlled based on a fuzzy adaptive scheme proposed in this paper. Based on the Denavit-Hartenberg parameters specification, after the Jacobian matrix of arbitrary manipulator is calculated, we will construct Fuzzy Inverse Kinematics Mapping(FIKM) using fuzzy logic and represent a good control efficiency through simulation of 2-DOF manipulator.

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DOMAIN OF EULER-TOTIENT MATRIX OPERATOR IN THE SPACE 𝓛p

  • Demiriz, Serkan;Erdem, Sezer
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.361-378
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    • 2020
  • The most apparent aspect of the present study is to introduce a new sequence space 𝚽(𝓛p) derived by double Euler-Totient matrix operator. We examine its topological and algebraic properties and give an inclusion relation. In addition to those, the α-, β(bp)- and γ-duals of the space 𝚽(𝓛p) are determined and finally, some 4-dimensional matrix mapping classes related to this space are characterized.

Trends in Indian Private Sector Bank Efficiency: Non-Stochastic Frontier DEA Window Analysis Approach

  • KUMAR, Ashish;ANAND, Nakul;BATRA, Vikas
    • The Journal of Asian Finance, Economics and Business
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    • v.7 no.10
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    • pp.729-740
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    • 2020
  • The study examines the efficiency of private sector banks in India with the help of Window DEA (Data Envelopment Analysis) for a period from 2005 to 2017. With a window of three years, the period was divided into 11 windows. The study outcomes show that 59.9% of all private sector banks in India operate at more than 0.9 level of efficiency, and there are only three occasions when banks were operating at the efficiency value between 0.6 to 0.7. Further, the consistency in the efficiency scores of the banks has also been analyzed using an efficiency mapping matrix, and the mean efficiency score of the bank in each window is studied. The score of standard deviation was interpreted accordingly for these banks. Banks that are showing the highest efficiency scores also have a higher variance of efficiency scores. There was no bank identified in the matrix that promises high-efficiency ratings with low variability. The study concludes that the analysis of the efficiency mapping matrix indicates that, as a DMU escalates in the efficiency scores, the standard deviation reflecting the risk in overall efficiency scores also tends to rise. The findings complement the concept of higher risk to higher return or greater efficiency.

Patch based Semi-supervised Linear Regression for Face Recognition

  • Ding, Yuhua;Liu, Fan;Rui, Ting;Tang, Zhenmin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.8
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    • pp.3962-3980
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    • 2019
  • To deal with single sample face recognition, this paper presents a patch based semi-supervised linear regression (PSLR) algorithm, which draws facial variation information from unlabeled samples. Each facial image is divided into overlapped patches, and a regression model with mapping matrix will be constructed on each patch. Then, we adjust these matrices by mapping unlabeled patches to $[1,1,{\cdots},1]^T$. The solutions of all the mapping matrices are integrated into an overall objective function, which uses ${\ell}_{2,1}$-norm minimization constraints to improve discrimination ability of mapping matrices and reduce the impact of noise. After mapping matrices are computed, we adopt majority-voting strategy to classify the probe samples. To further learn the discrimination information between probe samples and obtain more robust mapping matrices, we also propose a multistage PSLR (MPSLR) algorithm, which iteratively updates the training dataset by adding those reliably labeled probe samples into it. The effectiveness of our approaches is evaluated using three public facial databases. Experimental results prove that our approaches are robust to illumination, expression and occlusion.

Detection of major genotypes combination by genotype matrix mapping (유전자 행렬 맵핑을 활용한 우수 유전자형 조합 선별)

  • Lee, Jea-Young;Lee, Jong-Hyeong;Lee, Yong-Won
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.3
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    • pp.387-395
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    • 2010
  • It is important to identify the interaction of genes about human disease and characteristic value. Many studies as like logistic analysis, have associated being pursued, but, previous methods did not consider the sub-group of the genotypes. So, QTL interactions and the GMM (genotype matrix mapping) have been developed. In this study, we detect the superior genotype combination to have an impact on economic traits of Korean cattle based on the study over GMM method. Thus, we identified interaction effects of single nucleotide polymorphisms (SNPs) responsible for average daily gain(ADG), marbling score (MS), carcass cold weight (CWT), longissimus muscle dorsiarea (LMA) using GMM method. In addition, we examine significance of the major genotype combination selected by implementing permutation test of the F-measure which was not obtained by Sachiko et al.

Study on LLVM application in Parallel Computing System (병렬 컴퓨팅 시스템에서 LLVM 응용 연구)

  • Cho, Jungseok;Cho, Doosan;Kim, Yongyeon
    • The Journal of the Convergence on Culture Technology
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    • v.5 no.1
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    • pp.395-399
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    • 2019
  • In order to support various parallel computing systems, it is necessary to extend LLVM IR to more efficiently support vector / matrix and to design LLVM IR to machine code as a new algorithm. As shown in the IR example, RISC instruction generation is naturally generated because the RISC instruction is basically composed of the RISC instruction, and the vector instruction is also not supported. There is a need for new IR structures, command generation algorithms and related extensions to support vector / matrix more robustly. To do this, it is important to map each instruction in the LLVM IR to the appropriate instruction in the target architecture (vector / matrix) (instruction selection algorithm). It is necessary to understand the meaning of LLVM IR command, to compare the meaning of each instruction of the target architecture with syntax, and to select the instruction that matches the pattern to make mapping efficient.

2D-MELPP: A two dimensional matrix exponential based extension of locality preserving projections for dimensional reduction

  • Xiong, Zixun;Wan, Minghua;Xue, Rui;Yang, Guowei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.9
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    • pp.2991-3007
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    • 2022
  • Two dimensional locality preserving projections (2D-LPP) is an improved algorithm of 2D image to solve the small sample size (SSS) problems which locality preserving projections (LPP) meets. It's able to find the low dimension manifold mapping that not only preserves local information but also detects manifold embedded in original data spaces. However, 2D-LPP is simple and elegant. So, inspired by the comparison experiments between two dimensional linear discriminant analysis (2D-LDA) and linear discriminant analysis (LDA) which indicated that matrix based methods don't always perform better even when training samples are limited, we surmise 2D-LPP may meet the same limitation as 2D-LDA and propose a novel matrix exponential method to enhance the performance of 2D-LPP. 2D-MELPP is equivalent to employing distance diffusion mapping to transform original images into a new space, and margins between labels are broadened, which is beneficial for solving classification problems. Nonetheless, the computational time complexity of 2D-MELPP is extremely high. In this paper, we replace some of matrix multiplications with multiple multiplications to save the memory cost and provide an efficient way for solving 2D-MELPP. We test it on public databases: random 3D data set, ORL, AR face database and Polyu Palmprint database and compare it with other 2D methods like 2D-LDA, 2D-LPP and 1D methods like LPP and exponential locality preserving projections (ELPP), finding it outperforms than others in recognition accuracy. We also compare different dimensions of projection vector and record the cost time on the ORL, AR face database and Polyu Palmprint database. The experiment results above proves that our advanced algorithm has a better performance on 3 independent public databases.

Intervention Development Stages in Health Promotion Planning Models: PRECEDE-PROCEED and Intervention Mapping (건강증진 기획모형의 중재기획 단계 비교: PRECEDE-PROCEED와 Intervention Mapping)

  • Yoo, Seung-Hyun;Kim, Hye-Kyeong
    • Korean Journal of Health Education and Promotion
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    • v.27 no.2
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    • pp.141-149
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    • 2010
  • Objectives: This paper aims to compare the intervention development steps of the revised PRECEDE-PROCEED model and the Intervention Mapping model. Methods: Concepts and structure of the intervention development step of each model are reviewed with examples. Results: The revised PRECEDE-PROCEED model and the Intervention Mapping model share characteristics in intervention development in employing PRECEDE assessments, applying a social ecological framework and behavior theories for intervention building, emphasizing multi-interventions at multiple levels, and involving stakeholders and existing resources in intervention development. A detailed explanation of the intervention alignment and matrix building is provided with illustration of examples. Conclusion: Intervention development should not be done compartmentally but in line with other steps in a planning model to sustain the program logic. For successful application of planning models for intervention development, solid understanding of the models and behavior theories are required. Multisectoral collaboration is also critical for the successful application.

A Scoping Review of Health-Related Intervention Studies Using Intervention Mapping in South Korea (중재 매핑을 활용한 국내 건강관련 중재연구의 주제범위 고찰)

  • Park, Jiyoung;Cho, Jeonghyun;Im, Mihae;Hwang, Gahui
    • Journal of Korean Public Health Nursing
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    • v.35 no.3
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    • pp.448-468
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    • 2021
  • Objectives: This study aimed to understand the trends and issues of health-related intervention research using Intervention Mapping over the last ten years in South Korea. Intervention Mapping is a representative planning protocol to develop theory-and-evidence-based health promotion programs. Methods: The scoping review method was undertaken, and a total of 20 studies were analyzed using Intervention Mapping six steps. Results: The Korean health-related intervention studies using Intervention Mapping showed low methodological quality. In step 1, only 7 out of 20 studies organized a planning group consisting of various stakeholders. In step 2, about half of the studies did not present a matrix, which is the core essential component of Intervention Mapping. In step 5, only 1 out of 20 studies presented program adopters and maintainers. In step 6, most studies described effect evaluation relatively, but only one study mentioned process evaluation. Conclusions: In order to develop sustainable and cost-effective programs, systematic planning using Intervention Mapping is required from the research planning stage. In addition, a concrete and realistic plan needs to be established for the development of programs and adoption, dissemination and maintenance of programs.