• Title/Summary/Keyword: 벡터의 곱

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Connecting the Inner and Outer Product of Vectors Based on the History of Mathematics (수학사에 기초한 벡터의 내적과 외적의 연결)

  • Oh, Taek-Keun
    • Journal of Educational Research in Mathematics
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    • v.25 no.2
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    • pp.177-188
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    • 2015
  • In this paper, I investigated the historical development process for the product of two vectors in the plane and space, and draw implications for educational guidance to internal and external product of vectors based on it. The results of the historical analysis show that efforts to define the product of the two line segments having different direction in the plane justified the rules of complex algebraic calculations with its length of the product of their lengths and its direction of the sum of their directions. Also, the efforts to define the product of the two line segments having different direction in three dimensional space led to the introduction of quaternion. In addition, It is founded that the inner product and outer product of vectors was derived from the real part and vector part of multiplication of two quaternions. Based on these results, I claimed that we should review the current deployment method of making inner product and outer product as multiplications that are not related to each other, and suggested one approach for connecting the inner and outer product.

A Study on the Accuracy Improvement of Movie Recommender System Using Word2Vec and Ensemble Convolutional Neural Networks (Word2Vec과 앙상블 합성곱 신경망을 활용한 영화추천 시스템의 정확도 개선에 관한 연구)

  • Kang, Boo-Sik
    • Journal of Digital Convergence
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    • v.17 no.1
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    • pp.123-130
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    • 2019
  • One of the most commonly used methods of web recommendation techniques is collaborative filtering. Many studies on collaborative filtering have suggested ways to improve accuracy. This study proposes a method of movie recommendation using Word2Vec and an ensemble convolutional neural networks. First, in the user, movie, and rating information, construct the user sentences and movie sentences. It inputs user sentences and movie sentences into Word2Vec to obtain user vectors and movie vectors. User vectors are entered into user convolution model and movie vectors are input to movie convolution model. The user and the movie convolution models are linked to a fully connected neural network model. Finally, the output layer of the fully connected neural network outputs forecasts of user movie ratings. Experimentation results showed that the accuracy of the technique proposed in this study accuracy of conventional collaborative filtering techniques was improved compared to those of conventional collaborative filtering technique and the technique using Word2Vec and deep neural networks proposed in a similar study.

Application of Vector Scalar Product to Solve the Kinematic Equations in the Earth's Gravitational Field (지구 중력장 내에서 성립하는 운동 상태 방정식의 해를 구하기 위한 벡터의 스칼라 프로덕트 응용)

  • Um, Kee-Hong
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.6
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    • pp.217-222
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    • 2017
  • Any object located in the earth's gravitational field experiences a force in the direction of the center of the earth. In order to describe the motion of objects in the field, the solutions to a system of simultaneous vector kinematic equations need to be obtained. In the analysis of freely-falling objects, the reference direction +y is usually defined to be the downward direction. In the analysis of the motion of objects thrown upward, the reference direction +y is usually defined to be the upward direction. In the analysis of the motion of objects thrown downward, the reference direction +y is usually defined to be the downward direction. In this paper, we show that the choice of reference axis in either upward or direction gives the same results by adopting a scalar product of two vectors in solving the vector kinematic equations. It is rare to find other examples of using a scalar product of two vectors in solving vector kinematic equations describing the motion of objects. An application of this study is that we can arbitrarily choose the reference direction for objects moving in a horizontal direction, including projectile motions.

A Study on the DFT Process Using the Optical Matrix-Vector Multiplier (광매트릭스-벡터곱셈기를 이용한 DFT 처리에 관한 연구)

  • 최평석;박한규
    • The Journal of the Acoustical Society of Korea
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    • v.3 no.2
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    • pp.30-34
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    • 1984
  • 본 논문에서는 인코히어런트광 매트릭스-벡터곱셈기를 이용하여 입력 데이터를 광학적으로 DFT 할 수 있는 방법을 연구하였다. DFT의 웨이팅함수를 매트릭스로 나타내어 본 논문에서 제시한 2 개의 성분 분할 방법을 이용하여 마스크상에 부호화하고 광매트릭스-벡터곱셈기내에 고정시켜서 입력 데이터와 광학적으로 곱하도록 하였다.

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Development of Image Defect Detection Model Using Machine Learning (기계 학습을 활용한 이미지 결함 검출 모델 개발)

  • Lee, Nam-Yeong;Cho, Hyug-Hyun;Ceong, Hyi-Thaek
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.3
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    • pp.513-520
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    • 2020
  • Recently, the development of a vision inspection system using machine learning has become more active. This study seeks to develop a defect inspection model using machine learning. Defect detection problems for images correspond to classification problems, which are the method of supervised learning in machine learning. In this study, defect detection models are developed based on algorithms that automatically extract features and algorithms that do not extract features. One-dimensional CNN and two-dimensional CNN are used as algorithms for automatic extraction of features, and MLP and SVM are used as algorithms for non-extracting features. A defect detection model is developed based on four models and their accuracy and AUC compare based on AUC. Although image classification is common in the development of models using CNN, high accuracy and AUC is achieved when developing SVM models by converting pixels from images into RGB values in this study.

Speech detection from broadcast contents using multi-scale time-dilated convolutional neural networks (다중 스케일 시간 확장 합성곱 신경망을 이용한 방송 콘텐츠에서의 음성 검출)

  • Jang, Byeong-Yong;Kwon, Oh-Wook
    • Phonetics and Speech Sciences
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    • v.11 no.4
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    • pp.89-96
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    • 2019
  • In this paper, we propose a deep learning architecture that can effectively detect speech segmentation in broadcast contents. We also propose a multi-scale time-dilated layer for learning the temporal changes of feature vectors. We implement several comparison models to verify the performance of proposed model and calculated the frame-by-frame F-score, precision, and recall. Both the proposed model and the comparison model are trained with the same training data, and we train the model using 32 hours of Korean broadcast data which is composed of various genres (drama, news, documentary, and so on). Our proposed model shows the best performance with F-score 91.7% in Korean broadcast data. The British and Spanish broadcast data also show the highest performance with F-score 87.9% and 92.6%. As a result, our proposed model can contribute to the improvement of performance of speech detection by learning the temporal changes of the feature vectors.

Intrusion Detection Method Using Unsupervised Learning-Based Embedding and Autoencoder (비지도 학습 기반의 임베딩과 오토인코더를 사용한 침입 탐지 방법)

  • Junwoo Lee;Kangseok Kim
    • KIPS Transactions on Software and Data Engineering
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    • v.12 no.8
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    • pp.355-364
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    • 2023
  • As advanced cyber threats continue to increase in recent years, it is difficult to detect new types of cyber attacks with existing pattern or signature-based intrusion detection method. Therefore, research on anomaly detection methods using data learning-based artificial intelligence technology is increasing. In addition, supervised learning-based anomaly detection methods are difficult to use in real environments because they require sufficient labeled data for learning. Research on an unsupervised learning-based method that learns from normal data and detects an anomaly by finding a pattern in the data itself has been actively conducted. Therefore, this study aims to extract a latent vector that preserves useful sequence information from sequence log data and develop an anomaly detection learning model using the extracted latent vector. Word2Vec was used to create a dense vector representation corresponding to the characteristics of each sequence, and an unsupervised autoencoder was developed to extract latent vectors from sequence data expressed as dense vectors. The developed autoencoder model is a recurrent neural network GRU (Gated Recurrent Unit) based denoising autoencoder suitable for sequence data, a one-dimensional convolutional neural network-based autoencoder to solve the limited short-term memory problem that GRU can have, and an autoencoder combining GRU and one-dimensional convolution was used. The data used in the experiment is time-series-based NGIDS (Next Generation IDS Dataset) data, and as a result of the experiment, an autoencoder that combines GRU and one-dimensional convolution is better than a model using a GRU-based autoencoder or a one-dimensional convolution-based autoencoder. It was efficient in terms of learning time for extracting useful latent patterns from training data, and showed stable performance with smaller fluctuations in anomaly detection performance.

Comparison of Classification and Convolution algorithm in Condition assessment of the Failure Modes in Rotational equipments with varying speed (회전수가 변하는 기기의 상태 진단에 있어서 특성 기반 분류 알고리즘과 합성곱 기반 알고리즘의 예측 정확도 비교)

  • Ki-Yeong Moon;Se-Yun Hwang;Jang-Hyun Lee
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2022.06a
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    • pp.301-301
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    • 2022
  • 본 연구는 운영 조건이 달라짐에 따라 회전수가 변하는 기기의 정상적 가동 여부와 고장 종류를 판별하기 위한 인공지능 알고리즘의 적용을 다루고 있다. 회전수가 변하는 장비로부터 계측된 상태 모니터링 센서의 신호는 비정상(non-stationary)적 특성이 있으므로, 상태 신호의 한계치가 고장 판별의 기준이 되기 어렵다는 점을 해결하고자 하였다. 정상 가동 여부는 이상 감지에 효율적인 오토인코더 및 기계학습 알고리즘을 적용하였으며, 고장 종류 판별에는 기계학습법과 합성곱 기반의 심층학습 방법을 적용하였다. 변하는 회전수와 연계된 주파수의 비정상적 시계열도 적절한 고장 특징 (Feature)로 대변될 수 있도록 시간 및 주파수 영역에서 특징 벡터를 구성할 수 있음을 예제로 설명하였다. 차원 축소 및 카이 제곱 기법을 적용하여 최적의 특징 벡터를 추출하여 기계학습의 분류 알고리즘이 비정상적 회전 신호를 가진 장비의 고장 예측에 활용될 수 있음을 보였다. 이 과정에서 k-NN(k-Nearest Neighbor), SVM(Support Vector Machine), Random Forest의 기계학습 알고리즘을 적용하였다. 또한 시계열 기반의 오토인코더 및 CNN (Convolution Neural Network) 적용하여 이상 감지와 고장진단을 수행한 결과를 비교하여 제시하였다.

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Efficient Collecting Scheme the Crack Data via Vector based Data Augmentation and Style Transfer with Artificial Neural Networks (벡터 기반 데이터 증강과 인공신경망 기반 특징 전달을 이용한 효율적인 균열 데이터 수집 기법)

  • Yun, Ju-Young;Kim, Donghui;Kim, Jong-Hyun
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2021.07a
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    • pp.667-669
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    • 2021
  • 본 논문에서는 벡터 기반 데이터 증강 기법(Data augmentation)을 제안하여 학습 데이터를 구축한 뒤, 이를 합성곱 신경망(Convolutional Neural Networks, CNN)으로 실제 균열과 가까운 패턴을 표현할 수 있는 프레임워크를 제안한다. 건축물의 균열은 인명 피해를 가져오는 건물 붕괴와 낙하 사고를 비롯한 큰 사고의 원인이다. 이를 인공지능으로 해결하기 위해서는 대량의 데이터 확보가 필수적이다. 하지만, 실제 균열 이미지는 복잡한 패턴을 가지고 있을 뿐만 아니라, 위험한 상황에 노출되기 때문에 대량의 데이터를 확보하기 어렵다. 이러한 데이터베이스 구축의 문제점은 인위적으로 특정 부분에 변형을 주어 데이터양을 늘리는 탄성왜곡(Elastic distortion) 기법으로 해결할 수 있지만, 본 논문에서는 이보다 향상된 균열 패턴 결과를 CNN을 활용하여 보여준다. 탄성왜곡 기법보다 CNN을 이용했을 때, 실제 균열 패턴과 유사하게 추출된 결과를 얻을 수 있었고, 일반적으로 사용되는 픽셀 기반 데이터가 아닌 벡터 기반으로 데이터 증강을 설계함으로써 균열의 변화량 측면에서 우수함을 보였다. 본 논문에서는 적은 개수의 균열 데이터를 입력으로 사용했음에도 불구하고 균열의 방향 및 패턴을 다양하게 생성하여 쉽게 균열 데이터베이스를 구축할 수 있었다. 이는 장기적으로 구조물의 안정성 평가에 이바지하여 안전사고에 대한 불안감에서 벗어나 더욱 안전하고 쾌적한 주거 환경을 조성할 것으로 기대된다.

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An Efficient Matrix-Vector Product Algorithm for the Analysis of General Interconnect Structures (일반적인 연결선 구조의 해석을 위한 효율적인 행렬-벡터 곱 알고리즘)

  • Jung, Seung-Ho;Baek, Jong-Humn;Kim, Joon-Hee;Kim, Seok-Yoon
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.38 no.12
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    • pp.56-65
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    • 2001
  • This paper proposes an algorithm for the capacitance extraction of general 3-dimensional conductors in an ideal uniform dielectric that uses a high-order quadrature approximation method combined with the typical first-order collocation method to enhance the accuracy and adopts an efficient matrix-vector product algorithm for the model-order reduction to achieve efficiency. The proposed method enhances the accuracy using the quadrature method for interconnects containing corners and vias that concentrate the charge density. It also achieves the efficiency by reducing the model order using the fact that large parts of system matrices are of numerically low rank. This technique combines an SVD-based algorithm for the compression of rank-deficient matrices and Gram-Schmidt algorithm of a Krylov-subspace iterative technique for the rapid multiplication of matrices. It is shown through the performance evaluation procedure that the combination of these two techniques leads to a more efficient algorithm than Gaussian elimination or other standard iterative schemes within a given error tolerance.

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