• Title/Summary/Keyword: polynomial networks

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A study on Public Key Authentication using Polynomial Secret Sharing in WSN (무선센서네트워크에서 다항식 비밀분산을 이용한 공개키 인증방식에 관한 연구)

  • Kim, Il-Do;Kim, Dong-Cheon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.11
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    • pp.2479-2487
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    • 2009
  • Earlier researches on Sensor Networks preferred symmetric key-based authentication schemes in consideration of limitations in network resources. However, recent advancements in cryptographic algorithms and sensor-node manufacturing techniques have opened suggestion to public key-based solutions such as Merkle tree-based schemes. This paper proposes a new concept of public key-based authentication using Polynomial Secret Sharing that can be effectively applied to sensor networks and a detection of malicious node using the hash function. This scheme is based on exponential distributed data concept, a derivative from Shamir's (t,n) threshold scheme, in which the authentication of neighbouring nodes are done simultaneously while minimising resources of sensor nodes and providing network scalability.

Modeling the Properties of the PECVD Silicon Dioxide Films Using Polynomial Neural Networks

  • Han, Seung-Soo;Song, Kyung-Bin
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.195-200
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    • 1998
  • Since the neural network was introduced, significant progress has been made on data handling and learning algorithms. Currently, the most popular learning algorithm in neural network training is feed forward error back-propagation (FFEBP) algorithm. Aside from the success of the FFEBP algorithm, polynomial neural networks (PNN) learning has been proposed as a new learning method. The PNN learning is a self-organizing process designed to determine an appropriate set of Ivakhnenko polynomials that allow the activation of many neurons to achieve a desired state of activation that mimics a given set of sampled patterns. These neurons are interconnected in such a way that the knowledge is stored in Ivakhnenko coefficients. In this paper, the PNN model has been developed using the plasma enhanced chemical vapor deposition (PECVD) experimental data. To characterize the PECVD process using PNN, SiO$_2$films deposited under varying conditions were analyzed using fractional factorial experimental design with three center points. Parameters varied in these experiments included substrate temperature, pressure, RF power, silane flow rate and nitrous oxide flow rate. Approximately five microns of SiO$_2$were deposited on (100) silicon wafers in a Plasma-Therm 700 series PECVD system at 13.56 MHz.

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The Impact of Various Degrees of Composite Minimax ApproximatePolynomials on Convolutional Neural Networks over Fully HomomorphicEncryption (다양한 차수의 합성 미니맥스 근사 다항식이 완전 동형 암호 상에서의 컨볼루션 신경망 네트워크에 미치는 영향)

  • Junghyun Lee;Jong-Seon No
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.33 no.6
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    • pp.861-868
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    • 2023
  • One of the key technologies in providing data analysis in the deep learning while maintaining security is fully homomorphic encryption. Due to constraints in operations on fully homomorphically encrypted data, non-arithmetic functions used in deep learning must be approximated by polynomials. Until now, the degrees of approximation polynomials with composite minimax polynomials have been uniformly set across layers, which poses challenges for effective network designs on fully homomorphic encryption. This study theoretically proves that setting different degrees of approximation polynomials constructed by composite minimax polynomial in each layer does not pose any issues in the inference on convolutional neural networks.

A Study on Static Situation Awareness System with the Aid of Optimized Polynomial Radial Basis Function Neural Networks (최적화된 pRBF 뉴럴 네트워크에 의한 정적 상황 인지 시스템에 관한 연구)

  • Oh, Sung-Kwun;Na, Hyun-Suk;Kim, Wook-Dong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.12
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    • pp.2352-2360
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    • 2011
  • In this paper, we introduce a comprehensive design methodology of Radial Basis Function Neural Networks (RBFNN) that is based on mechanism of clustering and optimization algorithm. We can divide some clusters based on similarity of input dataset by using clustering algorithm. As a result, the number of clusters is equal to the number of nodes in the hidden layer. Moreover, the centers of each cluster are used into the centers of each receptive field in the hidden layer. In this study, we have applied Fuzzy-C Means(FCM) and K-Means(KM) clustering algorithm, respectively and compared between them. The weight connections of model are expanded into the type of polynomial functions such as linear and quadratic. In this reason, the output of model consists of relation between input and output. In order to get the optimal structure and better performance, Particle Swarm Optimization(PSO) is used. We can obtain optimized parameters such as both the number of clusters and the polynomial order of weights connection through structural optimization as well as the widths of receptive fields through parametric optimization. To evaluate the performance of proposed model, NXT equipment offered by National Instrument(NI) is exploited. The situation awareness system-related intelligent model was built up by the experimental dataset of distance information measured between object and diverse sensor such as sound sensor, light sensor, and ultrasonic sensor of NXT equipment.

Design of Heavy Rain Advisory Decision Model Based on Optimized RBFNNs Using KLAPS Reanalysis Data (KLAPS 재분석 자료를 이용한 진화최적화 RBFNNs 기반 호우특보 판별 모델 설계)

  • Kim, Hyun-Myung;Oh, Sung-Kwun;Lee, Yong-Hee
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.5
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    • pp.473-478
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    • 2013
  • In this paper, we develop the Heavy Rain Advisory Decision Model based on intelligent neuro-fuzzy algorithm RBFNNs by using KLAPS(Korea Local Analysis and Prediction System) Reanalysis data. the prediction ability of existing heavy rainfall forecasting systems is usually affected by the processing techniques of meteorological data. In this study, we introduce the heavy rain forecast method using the pre-processing techniques of meteorological data are in order to improve these drawbacks of conventional system. The pre-processing techniques of meteorological data are designed by using point conversion, cumulative precipitation generation, time series data processing and heavy rain warning extraction methods based on KLAPS data. Finally, the proposed system forecasts cumulative rainfall for six hours after future t(t=1,2,3) hours and offers information to determine heavy rain advisory. The essential parameters of the proposed model such as polynomial order, the number of rules, and fuzzification coefficient are optimized by means of Differential Evolution.

The Public Key Polynomial Cryptosystem for Data Security in Communication Networks (통신 네트워크의 정보보호를 위한 공개키 다항식 암호시스템)

  • Yang, Tae-Kyu
    • The Journal of Information Technology
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    • v.6 no.4
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    • pp.59-68
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    • 2003
  • In this paper, a public key kanpsack cryptosystem algorithm is based on the security to a difficulty of polynomial factorization in computer communication is proposed. For the proposed public key kanpsack cryptosystem, a polynomial vector B(x,y,z) is formed by transform of superincreasing vector A, a polynomial f(x,y,z) is selected. Next then, the two polynomials B(x,y,z) and f(x,y,z) is decided on the public key. Therefore a public key knapsack cryptosystem is based on the security to a difficulty of factorization of a polynomial f(x,y,z)=0 with three variables. In this paper, a public key encryption algorithm for data security of computer network is proposed. This is based on the security to a difficulty of factorization. For the proposed public key encryption, the public key generation algorithm selects two polynomials f(x,y,z) and g(x,y,z). The propriety of the proposed public key cryptosystem algorithm is verified with the computer simulation.

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Design of Fuzzy Neural Networks Based on Fuzzy Clustering and Its Application (퍼지 클러스터링 기반 퍼지뉴럴네트워크 설계 및 적용)

  • Park, Keon-Jun;Lee, Dong-Yoon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.1
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    • pp.378-384
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    • 2013
  • In this paper, we propose the fuzzy neural networks based on fuzzy c-means clustering algorithm. Typically, the generation of fuzzy rules have the problem that the number of fuzzy rules exponentially increases when the dimension increases. To solve this problem, the fuzzy rules of the proposed networks are generated by partitioning the input space in the scatter form using FCM clustering algorithm. The premise parameters of the fuzzy rules are determined by membership matrix by means of FCM clustering algorithm. The consequence part of the rules is expressed in the form of polynomial functions and the learning of fuzzy neural networks is realized by adjusting connections of the neurons, and it follows a back-propagation algorithm. The proposed networks are evaluated through the application to nonlinear process.

Polynomial Higher Order Neural Network for Shift-invariant Pattern Recognition (위치 변환 패턴 인식을 위한 다항식 고차 뉴럴네트워크)

  • Chung, Jong-Su;Hong, Sung-Chan
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.12
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    • pp.3063-3068
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    • 1997
  • In this paper, we have extended the generalization back-propagation algorithm to multi-layer polynomial higher order neural networks. The purpose of this paper is to describe various pattern recognition using polynomial higher-order neural network. And we have applied shift position T-C test pattern for invariant pattern recognition and measured generalization by mirror symmetry problem. simulation result shows that the ability for invariant pattern recognition increase with the proposed technique. Recognition rate of invariant T-C pattern is 90% effective and of mirror symmetry problem is 70% effective when the proposed technique is utilized. These results are much better than those by the conventional methods.

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A Novel Soft Computing Technique for the Shortcoming of the Polynomial Neural Network

  • Kim, Dongwon;Huh, Sung-Hoe;Seo, Sam-Jun;Park, Gwi-Tae
    • International Journal of Control, Automation, and Systems
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    • v.2 no.2
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    • pp.189-200
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    • 2004
  • In this paper, we introduce a new soft computing technique that dwells on the ideas of combining fuzzy rules in a fuzzy system with polynomial neural networks (PNN). The PNN is a flexible neural architecture whose structure is developed through the modeling process. Unfortunately, the PNN has a fatal drawback in that it cannot be constructed for nonlinear systems with only a small amount of input variables. To overcome this limitation in the conventional PNN, we employed one of three principal soft computing components such as a fuzzy system. As such, a space of input variables is partitioned into several subspaces by the fuzzy system and these subspaces are utilized as new input variables to the PNN architecture. The proposed soft computing technique is achieved by merging the fuzzy system and the PNN into one unified framework. As a result, we can find a workable synergistic environment and the main characteristics of the two modeling techniques are harmonized. Thus, the proposed method alleviates the problems of PNN while providing superb performance. Identification results of the three-input nonlinear static function and nonlinear system with two inputs will be demonstrated to demonstrate the performance of the proposed approach.

Short-term Peak Load Forecasting using Regression Models and Neural Networks (회귀모형과 신경회로망 모형을 이용한 단기 최대전력수요예측)

  • Koh, Hee-Seog;Ji, Bong-Ho;Lee, Hyun-Moo;Lee, Chung-Sik;Lee, Chul-Woo
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.295-297
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    • 2000
  • In case of power demand forecasting the most important problem is to deal with the load of special-days, Accordingly, this paper presents a method that forecasting special-days load with regression models and neural networks. Special-days load in summer season was forecasted by the multiple regression models using weekday change ratio Neural networks models uses pattern conversion ratio, and orthogonal polynomial models was directly forecasted using past special-days load data. forecasting result obtains % forecast error of about $1{\sim}2[%]$. Therefore, it is possible to forecast long and short special-days load.

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