• Title/Summary/Keyword: 그래프 샘플링

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Efficient Sampling of Graph Signals with Reduced Complexity (저 복잡도를 갖는 효율적인 그래프 신호의 샘플링 알고리즘)

  • Kim, Yoon Hak
    • The Journal of the Korea institute of electronic communication sciences
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    • v.17 no.2
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    • pp.367-374
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    • 2022
  • A sampling set selection algorithm is proposed to reconstruct original graph signals from the sampled signals generated on the nodes in the sampling set. Instead of directly minimizing the reconstruction error, we focus on minimizing the upper bound on the reconstruction error to reduce the algorithm complexity. The metric is manipulated by using QR factorization to produce the upper triangular matrix and the analytic result is presented to enable a greedy selection of the next nodes at iterations by using the diagonal entries of the upper triangular matrix, leading to an efficient sampling process with reduced complexity. We run experiments for various graphs to demonstrate a competitive reconstruction performance of the proposed algorithm while offering the execution time about 3.5 times faster than one of the previous selection methods.

Sampling Set Selection Algorithm for Weighted Graph Signals (가중치를 갖는 그래프신호를 위한 샘플링 집합 선택 알고리즘)

  • Kim, Yoon Hak
    • The Journal of the Korea institute of electronic communication sciences
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    • v.17 no.1
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    • pp.153-160
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    • 2022
  • A greedy algorithm is proposed to select a subset of nodes of a graph for bandlimited graph signals in which each signal value is generated with its weight. Since graph signals are weighted, we seek to minimize the weighted reconstruction error which is formulated by using the QR factorization and derive an analytic result to find iteratively the node minimizing the weighted reconstruction error, leading to a simplified iterative selection process. Experiments show that the proposed method achieves a significant performance gain for graph signals with weights on various graphs as compared with the previous novel selection techniques.

Fast Sampling Set Selection Algorithm for Arbitrary Graph Signals (임의의 그래프신호를 위한 고속 샘플링 집합 선택 알고리즘)

  • Kim, Yoon-Hak
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.6
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    • pp.1023-1030
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    • 2020
  • We address the sampling set selection problem for arbitrary graph signals such that the original graph signal is reconstructed from the signal values on the nodes in the sampling set. We introduce a variation difference as a new indirect metric that measures the error of signal variations caused by sampling process without resorting to the eigen-decomposition which requires a huge computational cost. Instead of directly minimizing the reconstruction error, we propose a simple and fast greedy selection algorithm that minimizes the variation differences at each iteration and justify the proposed reasoning by showing that the principle used in the proposed process is similar to that in the previous novel technique. We run experiments to show that the proposed method yields a competitive reconstruction performance with a substantially reduced complexity for various graphs as compared with the previous selection methods.

Low-Complexity Graph Sampling Algorithm Based on Thresholding (임계값 적용에 기반한 저 복잡도 그래프 신호 샘플링 알고리즘)

  • Yoon-Hak Kim
    • The Journal of the Korea institute of electronic communication sciences
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    • v.18 no.5
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    • pp.895-900
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    • 2023
  • We study low-complexity graph sampling which selects a subset of nodes from graph nodes so as to reconstruct the original signal from the sampled one. To achieve complexity reduction, we propose a graph sampling algorithm with thresholding which selects a node with a cost lower than a given threshold at each step without fully searching all of the remaining nodes to find one with the minimum cost. Since it is important to find the threshold as close to a minimum cost as possible to avoid degradation of the reconstruction performance, we present a mathematical expression to compute the threshold at each step. We investigate the performance of the different sampling methods for various graphs, showing that the proposed algorithm runs 1.3 times faster than the previous method while maintaining the reconstruction performance.

Low-complexity Sampling Set Selection for Bandlimited Graph Signals (대역폭 제한 그래프신호를 위한 저 복잡도 샘플링 집합 선택 알고리즘)

  • Kim, Yoon Hak
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.24 no.12
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    • pp.1682-1687
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    • 2020
  • We study the problem of sampling a subset of nodes of graphs for bandlimited graph signals such that the signal values on the sampled nodes provide the most information in order to reconstruct the original graph signal. Instead of directly minimizing the reconstruction error, we focus on minimizing the upper bound of the reconstruction error to reduce the complexity of the selection process. We further simplify the upper bound by applying useful approximations to propose a low-weight greedy selection process that is iteratively conducted to find a suboptimal sampling set. Through the extensive experiments for various graphs, we inspect the performance of the proposed algorithm by comparing with different sampling set selection methods and show that the proposed technique runs fast while preserving a competitive reconstruction performance, yielding a practical solution to real-time applications.

A Bayesian Sampling Algorithm for Evolving Random Hypergraph Models Representing Higher-Order Correlations (고차상관관계를 표현하는 랜덤 하이퍼그래프 모델 진화를 위한 베이지안 샘플링 알고리즘)

  • Lee, Si-Eun;Lee, In-Hee;Zhang, Byoung-Tak
    • Journal of KIISE:Software and Applications
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    • v.36 no.3
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    • pp.208-216
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    • 2009
  • A number of estimation of distribution algorithms have been proposed that do not use explicitly crossover and mutation of traditional genetic algorithms, but estimate the distribution of population for more efficient search. But because it is not easy to discover higher-order correlations of variables, lower-order correlations are estimated most cases under various constraints. In this paper, we propose a new estimation of distribution algorithm that represents higher-order correlations of the data and finds global optimum more efficiently. The proposed algorithm represents the higher-order correlations among variables by building random hypergraph model composed of hyperedges consisting of variables which are expected to be correlated, and generates the next population by Bayesian sampling algorithm Experimental results show that the proposed algorithm can find global optimum and outperforms the simple genetic algorithm and BOA(Bayesian Optimization Algorithm) on decomposable functions with deceptive building blocks.

A Study about Learning Graph Representation on Farmhouse Apple Quality Images with Graph Transformer (그래프 트랜스포머 기반 농가 사과 품질 이미지의 그래프 표현 학습 연구)

  • Ji Hun Bae;Ju Hwan Lee;Gwang Hyun Yu;Gyeong Ju Kwon;Jin Young Kim
    • Smart Media Journal
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    • v.12 no.1
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    • pp.9-16
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    • 2023
  • Recently, a convolutional neural network (CNN) based system is being developed to overcome the limitations of human resources in the apple quality classification of farmhouse. However, since convolutional neural networks receive only images of the same size, preprocessing such as sampling may be required, and in the case of oversampling, information loss of the original image such as image quality degradation and blurring occurs. In this paper, in order to minimize the above problem, to generate a image patch based graph of an original image and propose a random walk-based positional encoding method to apply the graph transformer model. The above method continuously learns the position embedding information of patches which don't have a positional information based on the random walk algorithm, and finds the optimal graph structure by aggregating useful node information through the self-attention technique of graph transformer model. Therefore, it is robust and shows good performance even in a new graph structure of random node order and an arbitrary graph structure according to the location of an object in an image. As a result, when experimented with 5 apple quality datasets, the learning accuracy was higher than other GNN models by a minimum of 1.3% to a maximum of 4.7%, and the number of parameters was 3.59M, which was about 15% less than the 23.52M of the ResNet18 model. Therefore, it shows fast reasoning speed according to the reduction of the amount of computation and proves the effect.

Comparative Analysis of Offset Voltage PWM and $V_{max}-V_{mid}$ PWM Method for 3 Phase Matrix Converter (3상 매트릭스 컨버터에 사용되는 옵셋전압 PWM방법과 $V_{max}-V_{mid}$ PWM 방법의 비교분석)

  • Cha, Han-Ju;Kim, Woo-Jung
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.932-933
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    • 2008
  • 본 논문에서는 매트릭스 컨버터의 두가지 전압 변조 방법을 직관적이고 직접적인 그래픽적 접근을 통해 비교 분석한다. 전압 변조에 있어서 옵셋전압 PWM방법은 캐리어비교를 기본으로 하여 옵셋전압을 더함으로써 전압 변조를 하고, $V_{max}-V_{mid}$ PWM 방법은 샘플링 주기내에서 한상을 고정시키고 나머지 두 상을 온-오프 하는 방식으로 전압 변조를 한다. 이 과정에서 중요한 두가지 특징이 전류 리플과 스위칭 손실이고, 전류 리플과 관련해서 각변조 방법의 고조파 전압을 그래프로 그려 분석한다.먼저 출력지령전압 벡터와 각 스위칭 영역별 벡터간의 차에 의한 고조파 성분을 스위칭 한주기내에서 벡터도를 그리고, 그 다음으로 출력전압 위상각과 전압 변조율을 달리 하여 각각의 고조파 전압 그래프를 그려 비교 분석해 보았다.

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Modelling Grammatical Pattern Acquisition using Video Scripts (비디오 스크립트를 이용한 문법적 패턴 습득 모델링)

  • Seok, Ho-Sik;Zhang, Byoung-Tak
    • Annual Conference on Human and Language Technology
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    • 2010.10a
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    • pp.127-129
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    • 2010
  • 본 논문에서는 다양한 코퍼스를 통해 언어를 학습하는 과정을 모델링하여 무감독학습(Unsupervised learning)으로 문법적 패턴을 습득하는 방법론을 소개한다. 제안 방법에서는 적은 수의 특성 조합으로 잠재적 패턴의 부분만을 표현한 후 표현된 규칙을 조합하여 유의미한 문법적 패턴을 탐색한다. 본 논문에서 제안한 방법은 베이지만 추론(Bayesian Inference)과 MCMC (Markov Chain Mote Carlo) 샘플링에 기반하여 특성 조합을 유의미한 문법적 패턴으로 정제하는 방법으로, 랜덤하이퍼그래프(Random Hypergraph) 모델을 이용하여 많은 수의 하이퍼에지를 생성한 후 생성된 하이퍼에지의 가중치를 조정하여 유의미한 문법적 패턴을 탈색하는 방법론이다. 우리는 본 논문에서 유아용 비디오의 스크립트를 이용하여 다양한 유아용 비디오 스크립트에서 문법적 패턴을 습득하는 방법론을 소개한다.

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Extraction of System-Wide Sybil-Resistant Trust Value embedded in Online Social Network Graph (온라인 소셜 네트워크 그래프에 내포된 시스템-차원 시빌-저항 신뢰도 추출)

  • Kim, Kyungbaek
    • KIPS Transactions on Computer and Communication Systems
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    • v.2 no.12
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    • pp.533-540
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    • 2013
  • Anonymity is the one of main reasons for substantial improvement of Internet. It encourages various users to express their opinion freely and helps Internet based distributed systems vitalize. But, anonymity can cause unexpected threats because personal information of an online user is hidden. Especially, distributed systems are threatened by Sybil attack, where one malicious user creates and manages multiple fake online identities. To prevent Sybil attack, the traditional solutions include increasing the complexity of identity generation and mapping online identities to real-world identities. But, even though the high complexity of identity generation increases the generation cost of Sybil identities, eventually they are generated and there is no further way to suppress their activity. Also, the mapping between online identities and real identities may cause high possibility of losing anonymity. Recently, some methods using online social network to prevent Sybil attack are researched. In this paper, a new method is proposed for extracting a user's system-wide Sybil-resistant trust value by using the properties embedded in online social network graphs. The proposed method can be categorized into 3 types based on sampling and decision strategies. By using graphs sampled from Facebook, the performance of the 3 types of the proposed method is evaluated. Moreover, the impact of Sybil attack on nodes with different characteristics is evaluated in order to understand the behavior of Sybil attack.