• Title/Summary/Keyword: Min-Norm

Search Result 127, Processing Time 0.023 seconds

LIPSCHITZ TYPE CHARACTERIZATION OF FOCK TYPE SPACES

  • Hong Rae, Cho;Jeong Min, Ha
    • Bulletin of the Korean Mathematical Society
    • /
    • v.59 no.6
    • /
    • pp.1371-1385
    • /
    • 2022
  • For setting a general weight function on n dimensional complex space ℂn, we expand the classical Fock space. We define Fock type space $F^{p,q}_{{\phi},t}({\mathbb{C}}^n)$ of entire functions with a mixed norm, where 0 < p, q < ∞ and t ∈ ℝ and prove that the mixed norm of an entire function is equivalent to the mixed norm of its radial derivative on $F^{p,q}_{{\phi},t}({\mathbb{C}}^n)$. As a result of this application, the space $F^{p,q}_{{\phi},t}({\mathbb{C}}^n)$ is especially characterized by a Lipschitz type condition.

A MIXED NORM RESTORATION FOR MULTICHANNEL IMAGES

  • Hong, Min-Cheol;Cha, Hyung-Tae;Hahn, Hyun-Soo
    • Proceedings of the IEEK Conference
    • /
    • 2000.09a
    • /
    • pp.399-402
    • /
    • 2000
  • In this paper, we present a regularized mixed norm multichannel image restoration algorithm. The problem of multichannel restoration using both within- and between- channel deterministic information is considered. For each channel a functional which combines the least mean squares (LMS), the least mean fourth(LMF), and a smoothing functional is proposed, We introduce a mixed norm parameter that controls the relative contribution between the LMS and the LMF, and a regularization parameter that defines the degree of smoothness of the solution, both updated at each iteration according to the noise characteristics of each channel. The novelty of the proposed algorithm is that no knowledge of the noise distribution for each channel is required, and the parameters mentioned above are adjusted based on the partially restored image.

  • PDF

Weighted average of fuzzy numbers under TW(the weakest t-norm)-based fuzzy arithmetic operations

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.7 no.1
    • /
    • pp.85-89
    • /
    • 2007
  • Many authors considered the computational aspect of sup-min convolution when applied to weighted average operations. They used a computational algorithm based on a-cut representation of fuzzy sets, nonlinear programming implementation of the extension principle, and interval analysis. It is well known that $T_W$(the weakest t-norm)-based addition and multiplication preserve the shape of L-R type fuzzy numbers. In this paper, we consider the computational aspect of the extension principle by the use of $T_W$ when the principle is applied to fuzzy weighted average operations. We give the exact solution for the case where variables and coefficients are L-L fuzzy numbers without programming or the aid of computer resources.

TWO-WEIGHT NORM ESTIMATES FOR SQUARE FUNCTIONS ASSOCIATED TO FRACTIONAL SCHRÖDINGER OPERATORS WITH HARDY POTENTIAL

  • Tongxin Kang;Yang Zou
    • Bulletin of the Korean Mathematical Society
    • /
    • v.60 no.6
    • /
    • pp.1567-1605
    • /
    • 2023
  • Let d ∈ ℕ and α ∈ (0, min{2, d}). For any a ∈ [a*, ∞), the fractional Schrödinger operator 𝓛a is defined by 𝓛a := (-Δ)α/2 + a|x|, where $a^*:={\frac{2^{\alpha}{\Gamma}((d+{\alpha})/4)^2}{{\Gamma}(d-{\alpha})/4)^2}}$. In this paper, we study two-weight Sobolev inequalities associated with 𝓛a and two-weight norm estimates for several square functions associated with 𝓛a.

Mixed-Norm Patch Similarity Search for Self-Example-based Single Image Super-Resolution (자가 표본 기반 단일 영상 초해상도 복원을 위한 혼합 놈 패치 유사도 검색)

  • Oh, Jong-Geun;Hong, Min-Cheol
    • Journal of IKEEE
    • /
    • v.22 no.2
    • /
    • pp.491-494
    • /
    • 2018
  • This paper presents a similarity search method based on mixed norm for enhancing self-example-based single image super-resolution. In order to incorporate the local statistical characteristics of the patches into the super-resolution image reconstruction, we propose a method to determine the order of the norm according to the patch inclination and use it as a similarity search between patches. Experimental results demonstrate that the proposed similarity search method has the capability to improve the performance of existing search method.

An Analysis of Structural Relationship among University Student's Work Value, Subject Norm, Career Decision Self-Efficacy, Career Adaptability in Agricultural Science Fields (농업계열 전공 대학생의 직업가치, 주관적 규범, 진로결정 자기 효능감, 진로적응성 간의 구조관계분석)

  • Park, Hye Jin;Yu, Byeong Min
    • Journal of Agricultural Extension & Community Development
    • /
    • v.24 no.3
    • /
    • pp.211-222
    • /
    • 2017
  • The purpose of this study is to examine the effects of agriculture on the career adaptation and career decision by measuring the job value and the subjective norm of agriculture. Conclusions based on the study results can be suggested as follows. First, career decision self-efficacy and subjective norm were significant variables in career adaptability of agriculture major college students. Therefore, the belief that one can plan and practice career goals and the affirmation of career plans and decisions in the vicinity are important factors in career adaptability. Second, Self-Realization and social recognition were significant variables in career decision self-efficacy of college students majoring in agriculture. In other words, it can be judged that social recognition such as honor and honor of others in a career choice has a positive effect on the career decision self-efficacy which is self-esteem in career selection. Lastly, An important variable for the subjective norms of agricultural college students was social recognition. This can be said that the positive perception of the surrounding people is very important as the value of social recognition is more important.

Analysis of the Coordination Relationship and Muscle Fatigue of Agonist and Synergist During Dumbbell Side Lateral Raise Using Biosignals (생체신호를 이용한 덤벨 사이드 레터럴 레이즈 시 주동근과 협력근의 협응 관계 및 근피로 분석)

  • Jong min Kim;Chang hyun Song;Jun won Choi ;Han Sung Kim
    • Journal of Biomedical Engineering Research
    • /
    • v.44 no.3
    • /
    • pp.218-224
    • /
    • 2023
  • This study aimed to analyze the coordination of muscle and muscle fatigue between biceps, lateral deltoid, and anterior deltoid during dumbbell side lateral raise using bio-signal. One male subject performed dumbbell side lateral raise with 3% of 1RM dumbbell at the rate of 30bpm until failure (8 minutes). While performing, ECG were recorded to observe the participant's performance. EMG were recorded from biceps, lateral deltoid, and anterior deltoid for observing coordination and fatigue. ECG were analyzed in time and frequency domain to observe Heart rate, normLF, normHF. Changes in heart rate, normLF, and normHF indicate that the sympathetic nervous system is activated, while changes in median frequency (MDF) indicate the occurrence of muscle fatigue. Moreover, the coordination relationship of muscle changed. The correlation of MDF between each muscles indicated that lateral deltoid is associated with biceps and anterior deltoid. These results showed that our study can contribute to improving understanding of muscle fatigue and muscle coordination relationships.

A Motion Compression Method by Min S-norm Composite Fuzzy Relational Equations

  • Nobuhara, Hajime;Hirota, Kaoru
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 2003.09a
    • /
    • pp.488-491
    • /
    • 2003
  • A motion compression method by min s-norm composite fuzzy relational equations (dual-MCF) is proposed, where a motion sequence is divided into intra-pictures (I-pictures) and predictive-pictures (P-pictures). The I-pictures and the P-pictures are compressed by using uniform coders and non-uniform coders, respectively. A design method of non-uniform coders is proposed to perform an efficient compression and reconstruction of the P-pictures, based on the dual overlap level of fuzzy sets and a fuzzy equalization. An experiment using 10 P-pictures confirms that the root means square errors of the proposed method is decreased to 82.9% of that of the uniform coders, under the condition that the compression rate is 0.0055. An experiment of motion compression and reconstruction is also presented to confirm the effectiveness of the dual-MCF based on the non-uniform coders.

  • PDF

A Study on Multi-Signal DOA Estimation in Fading Channels

  • Lee Kwan-Houng;Song Woo-Young
    • Journal of information and communication convergence engineering
    • /
    • v.3 no.3
    • /
    • pp.115-118
    • /
    • 2005
  • In this study, the proposed algorithm is a correlativity signal in a mobile wireless channel that has estimated the direction of arrival. The proposed algorithm applied the space average method in a MUSIC algorithm. The diagonal matrix of the space average method was changed to inverse the matrix and to obtain a new signal correlation matrix. The existing algorithm was analyzed and compared by applying a proposed signal correlation matrix to estimate the direction of arrival in a MUSIC algorithm. The experiment resulted in a proposed algorithm with a min-norm method resolution at more than $5^{\circ}$. It improved more than $2^{\circ}$ in a MUSIC algorithm.

Investigation on Flashover Development Mechanism of Polymeric Insulators by Time Frequency Analysis

  • Muniraj, C.;Krishnamoorthi, K.;Chandrasekar, S.
    • Journal of Electrical Engineering and Technology
    • /
    • v.8 no.6
    • /
    • pp.1503-1511
    • /
    • 2013
  • This paper deals with the analysis of leakage current characteristics of silicone rubber insulator in order to develop a new condition monitoring tool to identify the flashover of outdoor insulators. In this work, laboratory based pollution performance tests are carried out on silicone rubber insulator under ac voltage at different pollution levels and relative humidity conditions with sodium chloride (NaCl) as a contaminant. Min-Norm spectral analysis is adopted to calculate the higher order harmonics and Signal Noise Ratio (SNR). Choi-Williams Distribution (CWD) function is employed to understand the time frequency characteristics of the leakage current signal. Reported results on silicone rubber insulators show that the flashover development process of outdoor polymer insulators could be identified from the higher order harmonics and signal noise ratio values of leakage current signals.