• Title/Summary/Keyword: Norm bound

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Multi-view Clustering by Spectral Structure Fusion and Novel Low-rank Approximation

  • Long, Yin;Liu, Xiaobo;Murphy, Simon
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.3
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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.

Robust Transfer Alignment Method based on Krein Space (크레인 공간에 기반한 강인한 전달정렬 기법)

  • Sung-Hye Choe;Ki-Young Park;Hyoung-Min Kim;Cheol-Kwan Yang
    • Journal of Advanced Navigation Technology
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    • v.25 no.6
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    • pp.543-549
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    • 2021
  • In this paper, a robust transfer alignment method is proposed for a strapdown inertial navigation system(SDINS) with norm-bounded parametric uncertainties. The uncertainties are described by the energy bound constraint, i.e., sum quadratic constraint(SQC). It is shown that the SQC can be coverted into an indefinite quadratic cost function in the Krein space. Krein space Kalman filter is designed by modifying the measurement matrix and the variance of measurement noises in the conventional Kalman filter. Since the proposed Krein space Kalman filter has the same recursive structure as a conventional Kalman filter, the proposed filter can easily be designed. The simulation results show that the proposed filter achieves robustness against measurement time delay and high dynamic environment of the vehicle.

An Effective Method for Approximating the Euclidean Distance in High-Dimensional Space (고차원 공간에서 유클리드 거리의 효과적인 근사 방안)

  • Jeong, Seung-Do;Kim, Sang-Wook;Kim, Ki-Dong;Choi, Byung-Uk
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.42 no.5
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    • pp.69-78
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    • 2005
  • It is crucial to compute the Euclidean distance between two vectors efficiently in high dimensional space for multimedia information retrieval. In this paper, we propose an effective method for approximating the Euclidean distance between two high-dimensional vectors. For this approximation, a previous method, which simply employs norms of two vectors, has been proposed. This method, however, ignores the angle between two vectors in approximation, and thus suffers from large approximation errors. Our method introduces an additional vector called a reference vector for estimating the angle between the two vectors, and approximates the Euclidean distance accurately by using the estimated angle. This makes the approximation errors reduced significantly compared with the previous method. Also, we formally prove that the value approximated by our method is always smaller than the actual Euclidean distance. This implies that our method does not incur any false dismissal in multimedia information retrieval. Finally, we verify the superiority of the proposed method via performance evaluation with extensive experiments.

Development of reliable $H_\infty$ controller design algorithm for singular systems with failures (고장 특이시스템의 신뢰 $H_\infty$ 제어기 설계 알고리듬 개발)

  • 김종해
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.41 no.4
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    • pp.29-37
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    • 2004
  • This paper provides a reliable H$_{\infty}$ state feedback controller design method for delayed singular systems with actuator failures occurred within the prescribed subset. The sufficient condition for the existence of a reliable H$_{\infty}$ controller and the controller design method are presented by linear matrix inequality(LMI), singular value decomposition, Schur complements, and changes of variables. The proposed controller guarantees not only asymptotic stability but also H$_{\infty}$ norm bound in spite of existence of actuator failures. Since the obtained sufficient condition can be expressed as an LMI fen all variables can be calculated simultaneously. Moreover, the controller design method can be extended to the problem of robust reliable H$_{\infty}$ controller design method for singular systems with parameter uncertainties, time-varying delay, and actuator failures. A numerical example is given to illustrate the validity of the result.

Fuzzy $H^{\infty}$ Controller Design for Uncertain Nonlinear Systems (불확실성을 갖는 비선형 시스템의 퍼지 $H^{\infty}$ 제어기 설계)

  • Lee, Kap-Rai;Jeung, Eun-Tae;Park, Hong-Bae
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.6
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    • pp.46-54
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    • 1998
  • This paper presents a method for designing robust fuzzy $H^{\infty}$ controllers which stabilize nonlinear systems with parameter uncertainty adn guarantee an induced $L_{2}$ norm bound constraint on disturbance attenuation for all admissible uncertainties. Takagi and Sugeno's fuzzy models with uncertainty are used as the model for the uncertain nonlinear systems. Fuzzy control systems utilize the concept of so-called parallel distributed compensation(PDC). Using a single quadratic Lyapunov function, the stability condition satisfying decay rate and disturbance attenuation condition for Takagi and Sugeno's fuzzy model with parameter uncertainty are discussed. A sufficient condition for the existence of robust fuzzy $H^{\infty}$ controllers is then presented in terms of linear matrix inequalities(LMIs). Finally, design examples of robust fuzzy $H^{\infty}$ controllers for uncertain nonlinear systems are presented.

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Investigating the Effect of Value Characteristics of SNS Users on SNS Usage Motivation, Social Capital, and Usage Behavior (SNS 이용자의 가치체계의 특징이 SNS 이용동기, 사회적 자본, 이용행위 등에 미치는 영향 분석)

  • Cho, Hyong-Oh
    • Journal of Digital Contents Society
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    • v.19 no.2
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    • pp.351-362
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    • 2018
  • This study investigated how Schwartz' value system(1992) would interfere with SNS users' motivations and behavioral responses. The study result shows that values are characterized in terms of openness, mutual reciprocity, self enhancement, normative compliance, and security. Each of them exerted differential impact on SNS usage motives, social capital, ad response, and word-of-mouth, among others. The five values were used as an input for segmenting SNS users and clustering method produced four value segments; experience seeker, interdependent sympathizer, self enhancer, and norm-bound. Each value group not only influenced SNS perceptions and behavioral responses differently, but also showed a systematic relationship with SNS service types. The study findings demonstrate that Schwartz's value system provides a very useful theoretical basis for understanding the psychological mechanism underlying SNS usage.

Robust and Non-fragile H Controller Design Algorithm for Time-delayed System with Randomly Occurring Uncertainties and Disturbances ) (임의발생 불확실성 및 외란을 고려한 시간지연시스템의 강인비약성 H 제어기 설계 알고리듬)

  • Yang, Seung Hyeop;Paik, Seung Hyun;Lee, Jun Yeong;Park, Hong Bae
    • Journal of the Institute of Electronics and Information Engineers
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    • v.52 no.12
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    • pp.89-98
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    • 2015
  • This paper provides a robust and non-fragile $H_{\infty}$ controller design algorithm for time-delayed systems with randomly occurring polytopic uncertainties and disturbances. First, we design time-delayed system considering randomly occurring uncertainties and disturbances. Next, The sufficient condition for the existence of robust and non-fragile $H_{\infty}$ controller is presented by LMI(linear matrix inequality) using Lyapunov stability analysis and $H_{\infty}$ performance measure. Since the obtained condition can be expressed as a PLMI(parameterized linear matrix inequality) by changes of variables and Schur complement, all solutions including controller gain, degrees of controller satisfying non-fragility, $H_{\infty}$ norm bound ${\gamma}$ can be calculated simultaneously. Finally, numerical examples are given to illustrate the performance and the effectiveness of the proposed robust and non-fragile $H_{\infty}$ controller compared with the deterministic uncertainty model even though there exists randomly occurring uncertainties, disturbances and time delays.