• Title/Summary/Keyword: Classical dimension

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Principal component analysis in the frequency domain: a review and their application to climate data (주파수공간에서의 주성분분석: 리뷰와 기상자료에의 적용)

  • Jo, You-Jung;Oh, Hee-Seok;Lim, Yaeji
    • The Korean Journal of Applied Statistics
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    • v.30 no.3
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    • pp.441-451
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    • 2017
  • In this paper, we review principal component analysis (PCA) procedures in the frequency domain and apply them to analyze sea surface temperature data. The classical PCA defined in the time domain is a popular dimension reduction technique. Extending the conventional PCA to the frequency domain makes it possible to define PCA in the frequency domain, which is useful for dimension reduction as well as a feature extraction of multiple time series. We focus on two PCA methods in the frequency domain, Hilbert PCA (HPCA) and frequency domain PCA (FDPCA). We review these two PCAs in order for potential readers to easily understand insights as well as perform a numerical study for comparison with conventional PCA. Furthermore, we apply PCA methods in the frequency domain to sea surface temperature data on the tropical Pacific Ocean. Results from numerical experiments demonstrate that PCA in the frequency domain is effective for the analysis of time series data.

A Study on the Efficient Feature Vector Extraction for Music Information Retrieval System (음악 정보검색 시스템을 위한 효율적인 특징 벡터 추출에 관한 연구)

  • 윤원중;이강규;박규식
    • The Journal of the Acoustical Society of Korea
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    • v.23 no.7
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    • pp.532-539
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    • 2004
  • In this Paper, we propose a content-based music information retrieval (MIR) system base on the query-by-example (QBE) method. The proposed system is implemented to retrieve queried music from a dataset where 60 music samples were collected for each of the four genres in Classical, Hiphop. Jazz. and Reck. resulting in 240 music files in database. From each query music signal, the system extracts 60 dimensional feature vectors including spectral centroid. rolloff. flux base on STFT and also the LPC. MFCC and Beat information. and retrieves queried music from a trained database set using Euclidean distance measure. In order to choose optimum features from the 60 dimension feature vectors, SFS method is applied to draw 10 dimension optimum features and these are used for the Proposed system. From the experimental result. we can verify the superior performance of the proposed system that provides success rate of 84% in Hit Rate and 0.63 in MRR which means near 10% improvements over the previous methods. Additional experiments regarding system Performance to random query Patterns (or portions) and query lengths have been investigated and a serious instability problem of system Performance is Pointed out.

Variational Autoencoder Based Dimension Reduction and Clustering for Single-Cell RNA-seq Gene Expression (단일세포 RNA-SEQ의 유전자 발현 군집화를 위한 변이 자동인코더 기반의 차원감소와 군집화)

  • Chi, Sang-Mun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.25 no.11
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    • pp.1512-1518
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    • 2021
  • Since single cell RNA sequencing provides the expression profiles of individual cells, it provides higher cellular differential resolution than traditional bulk RNA sequencing. Using these single cell RNA sequencing data, clustering analysis is generally conducted to find cell types and understand high level biological processes. In order to effectively process the high-dimensional single cell RNA sequencing data fir the clustering analysis, this paper uses a variational autoencoder to transform a high dimensional data space into a lower dimensional latent space, expecting to produce a latent space that can give more accurate clustering results. By clustering the features in the transformed latent space, we compare the performance of various classical clustering methods for single cell RNA sequencing data. Experimental results demonstrate that the proposed framework outperforms many state-of-the-art methods under various clustering performance metrics.

Seabed Sediment Feature Extraction Algorithm using Attenuation Coefficient Variation According to Frequency (주파수에 따른 감쇠계수 변화량을 이용한 해저 퇴적물 특징 추출 알고리즘)

  • Lee, Kibae;Kim, Juho;Lee, Chong Hyun;Bae, Jinho;Lee, Jaeil;Cho, Jung Hong
    • Journal of the Institute of Electronics and Information Engineers
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    • v.54 no.1
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    • pp.111-120
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    • 2017
  • In this paper, we propose novel feature extraction algorithm for classification of seabed sediment. In previous researches, acoustic reflection coefficient has been used to classify seabed sediments, which is constant in terms of frequency. However, attenuation of seabed sediment is a function of frequency and is highly influenced by sediment types in general. Hence, we developed a feature vector by using attenuation variation with respect to frequency. The attenuation variation is obtained by using reflected signal from the second sediment layer, which is generated by broadband chirp. The proposed feature vector has advantage in number of dimensions to classify the seabed sediment over the classical scalar feature (reflection coefficient). To compare the proposed feature with the classical scalar feature, dimension of proposed feature vector is reduced by using linear discriminant analysis (LDA). Synthesised acoustic amplitudes reflected by seabed sediments are generated by using Biot model and the performance of proposed feature is evaluated by using Fisher scoring and classification accuracy computed by maximum likelihood decision (MLD). As a result, the proposed feature shows higher discrimination performance and more robustness against measurement errors than that of classical feature.

A multiscale method for analysis of heterogeneous thin slabs with irreducible three dimensional microstructures

  • Wang, Dongdong;Fang, Lingming
    • Interaction and multiscale mechanics
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    • v.3 no.3
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    • pp.213-234
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    • 2010
  • A multiscale method is presented for analysis of thin slab structures in which the microstructures can not be reduced to two-dimensional plane stress models and thus three dimensional treatment of microstructures is necessary. This method is based on the classical asymptotic expansion multiscale approach but with consideration of the special geometric characteristics of the slab structures. This is achieved via a special form of multiscale asymptotic expansion of displacement field. The expanded three dimensional displacement field only exhibits in-plane periodicity and the thickness dimension is in the global scale. Consequently by employing the multiscale asymptotic expansion approach the global macroscopic structural problem and the local microscopic unit cell problem are rationally set up. It is noted that the unit cell is subjected to the in-plane periodic boundary conditions as well as the traction free conditions on the out of plane surfaces of the unit cell. The variational formulation and finite element implementation of the unit cell problem are discussed in details. Thereafter the in-plane material response is systematically characterized via homogenization analysis of the proposed special unit cell problem for different microstructures and the reasoning of the present method is justified. Moreover the present multiscale analysis procedure is illustrated through a plane stress beam example.

A Study on the Space Determinants of the Medieval Plaza (중세광장의 공간결정요소에 관한 연구)

  • Nam, Ho-Hyeon;Min, Sang-Choong
    • Journal of architectural history
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    • v.17 no.4
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    • pp.83-95
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    • 2008
  • This study was firstly to reflect upon the background of the generation and the urban spatial value and significance of the medieval plaza. The main aim of this study was to extract the spatial determinants which give the great influence on the formation of the medieval plaza and in addition the endogenous rules and aesthetical grounds regarding the respective elements. Especially they could be applied to the design guideline. They are dimension(volume and scale), shape, elevation as the morphological elements and enclosure, proportion, grade difference, spatial sequence and plaza group as the spatial determinants and visual sequence, visual or spatial boundary, approaching axis and perspective effect as the aesthetic and visual elements and function(use), human behaviour as the social-behavioral elements and otherwise, for instance, plaza furniture, ground decoration and vegetation. This study was intended to analyze each elements based on the classical historical literatures and to suggest the planning conditions for composing the ideal plaza referring to the cases and literature review on the medieval plaza and finally is expected to contribute to the plaza design methodology.

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Molecular Dynamics Simulation of Cluster-Seed Affects on Heterogeneous Nucleation (분자동력학을 이용한 클러스터핵 주변의 이종핵형성 모사)

  • Suh, Dong-Uk;Jung, Seung-Chai;Yoon, Woong-Sup
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1885-1890
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    • 2008
  • 3-D heterogeneous nucleation was simulated by classical molecular dynamics (MD), where the Lennard-Jones (LJ) gas and solid cluster-seed molecules have argon and aluminum properties, respectively. There are three shapes of cluster-seeds, cube, rod, and sphere, and three classes of masses and the simulation took place under nine supersaturation ratios, making a total of 81 calculations. Results show that the dimension of the cluster-seed highly affects the rates of cluster development. In order to analyze heterogeneous nucleation above and below the critical supersaturation ratio, growth rate and liquefaction rate were separately defined to supplement the investigation. Design of experiments (DOE) was used for analysis which displayed that the shape and mass of the cluster-seed are prominent for the growth rate, while the supersaturation ratio is most significant followed by the mass for liquefaction rate. The significance of the supersaturation ratio for overall liquefaction suggests that thermal diffusion is more dominant than mass interactions for this system.

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Condition Parameter-based On-line Performance Reliability (상태 파라메터 기반의 온라인 성능 신뢰도)

  • Kim, Yon-Soo;Chung, Young-Bae
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.30 no.3
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    • pp.103-108
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    • 2007
  • This paper presents the conceptual framework for estimating and predicting system's susceptibility to failure as function of condition parameter value which is representing the current status of performance measure using on-line performance reliability. The performance of such system depends on one parameter with a probability distribution that degrades with time gracefully. Performance reliability represents the probability that physical performance will remain satisfactory over a finite period of time or usage cycles in the future. An empirical physical performance function is constructed to incorporate explanatory variables (operating and environmental conditions) over a time or usage dimension. This function enables one to model device performance and the associated classical reliability measures simultaneously, in the performance domain and time domain. The conditional performance reliability structure developed represents a tool to predict system performance over time or usage for next usage period. By enabling such a framework, it can bring us more efficient planning and execution in system's operation control as well as maintenance to reduce costs and/or increase profits.

A Linear Stability Analysis of Unsteady Combustion of Solid Propellants (고체추진제 비-정상연소의 선형 안정성해석)

  • 이창진;김성인;변영환
    • Journal of the Korean Society of Propulsion Engineers
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    • v.2 no.1
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    • pp.59-66
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    • 1998
  • The combustion instability analysis of solid propellants is generally done by the simplified governing equations for chemically inert condensed phase region with QSHOD assumption. Since the gas phase and surface reaction layer can be more rapidly relaxed to the external perturbations than the condensed phase, these regions are treated as quasi-steady manner in the analysis. In this paper, the classical ZN(Zeldovic-Novozhilov)approach was re-examined with the presence of radiation augmented burning enhancement in the combustion. Also, the surface reaction was assumed to partially absorb the incident radiant heat fluxes and pass the remaining to the chemically inert condensed phase. As a result of the analysis, the burning rate response function was obtained which consists of a pressure response function and a radiation response function. The response function was shown to be able to predict the results of T-burner tests.

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As Rumi Travels along the Silk Road in Feminist Costume: Shafak's The Forty Rules of Love

  • GHANDEHARION, AZRA;KHAJAVIAN, FATEMEH
    • Acta Via Serica
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    • v.4 no.1
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    • pp.71-86
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    • 2019
  • Transnational exchange has been an inseparable part of both the ancient and modern Silk Road. This paper shows how Rumi (1207-1273), a famous Persian Sufi poet, travels along the Silk Road in the $21^{st}$ century. With the birth of a Rumi phenomenon in the West, Silk Road artists have rediscovered and adapted him for different purposes. Elif Shafak, the Turkish-British novelist and women's rights activist, espouses feminist beliefs in her bestseller, The Forty Rules of Love (2010). Benefiting from the views of feminist theorists like Woolf, de Beauvoir and Friedan, this paper reveals how Shafak appropriates Rumi for her feminist purposes. Forty Rules of Love's protagonist, Ella Rubinstein is analyzed, compared and contrasted with her former literary counterparts Pinhan and Zeliha, heroines of Shafak's previous novels. By adapting Rumi's definition of equality, Shafak shows how egalitarianism must pervade the relationship between women and men. The adaptation of Rumi's ideas regarding the equality of sexes finds a different dimension when Shafak reveals that all humanity possesses femininity and masculinity at the same time. By means of ideas prevalent in the ancient Silk Road, the five classical elements theory, and the yin and yang principle, Shafak portrays unity within contradictions. It is concluded that although individuals might belong to different typologies of the five symbolic elements of nature, they can at the same time complement one another's inharmonious personalities peacefully. The process of integration of female and male sexes can be expedited by opening up one's heart to a universal love.