• Title/Summary/Keyword: Cut Rule

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Sequent Calculus and Cut-Elimination (순차식 연산 (Sequent calculus)과 절단제거 (Cut elimination))

  • Cheong, Kye-Seop
    • Journal for History of Mathematics
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    • v.23 no.3
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    • pp.45-56
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    • 2010
  • Sequent Calculus is a symmetrical version of the Natural Deduction which Gentzen restructured in 1934, where he presents 'Hauptsatz'. In this thesis, we will examine why the Cut-Elimination Theorem has such an important status in Proof Theory despite of the efficiency of the Cut Rule. Subsequently, the dynamic side of Curry-Howard correspondence which interprets the system of Natural Deduction as 'Simply typed $\lambda$-calculus', so to speak the correspondence of Cut-Elimination and $\beta$-reduction in $\lambda$-calculus, will also be studied. The importance of this correspondence lies in matching the world of program and the world of mathematical proof. Also it guarantees the accuracy of program.

Buckling analysis of nanocomposite cut out plate using domain decomposition method and orthogonal polynomials

  • Jamali, M.;Shojaee, T.;Kolahchi, R.;Mohammadi, B.
    • Steel and Composite Structures
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    • v.22 no.3
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    • pp.691-712
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    • 2016
  • In this editorial, buckling analytical investigation of the nanocomposite plate with square cut out reinforced by carbon nanotubes (CNTs) surrounded by Pasternak foundation is considered. The plate is presumed has square cut out in center and resting on Pasternak foundation. CNTs are used as amplifier in plate for diverse distribution, such as uniform distribution (UD) and three patterns of functionally graded (FG) distribution types of CNTs (FG-X, FG-A and FG-O). Moreover, the effective mechanical properties of nanocomposite plate are calculated from the rule of mixture. Domain decomposition method and orthogonal polynomials are applied in order to define the shape function of nanocomposite plate with square cut out. Finally, Rayleigh-Ritz energy method is used to obtain critical buckling load of system. A detailed parametric study is conducted to explicit the effects of the dimensions of plate, length of square cut out, different distribution of CNTs, elastic medium and volume fraction of CNTs. It is found from results that increase the dimensions of plate and length of square cut out have negative impact on buckling behavior of system but considering CNTs in plate has positive influence.

A Note on Fuzzy Support Vector Classification

  • Lee, Sung-Ho;Hong, Dug-Hun
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.133-140
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    • 2007
  • The support vector machine has been well developed as a powerful tool for solving classification problems. In many real world applications, each training point has a different effect on constructing classification rule. Lin and Wang (2002) proposed fuzzy support vector machines for this kind of classification problems, which assign fuzzy memberships to the input data and reformulate the support vector classification. In this paper another intuitive approach is proposed by using the fuzzy ${\alpha}-cut$ set. It will show us the trend of classification functions as ${\alpha}$ changes.

Optimum Range Cutting for Packet Classification (최적화된 영역 분할을 이용한 패킷 분류 알고리즘)

  • Kim, Hyeong-Gee;Park, Kyong-Hye;Lim, Hye-Sook
    • Journal of KIISE:Information Networking
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    • v.35 no.6
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    • pp.497-509
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    • 2008
  • Various algorithms and architectures for efficient packet classification have been widely studied. Packet classification algorithms based on a decision tree structure such as HiCuts and HyperCuts are known to be the best by exploiting the geometrical representation of rules in a classifier. However, the algorithms are not practical since they involve complicated heuristics in selecting a dimension of cuts and determining the number of cuts at each node of the decision tree. Moreover, the cutting is not efficient enough since the cutting is based on regular interval which is not related to the actual range that each rule covers. In this paper, we proposed a new efficient packet classification algorithm using a range cutting. The proposed algorithm primarily finds out the ranges that each rule covers in 2-dimensional prefix plane and performs cutting according to the ranges. Hence, the proposed algorithm constructs a very efficient decision tree. The cutting applied to each node of the decision tree is optimal and deterministic not involving the complicated heuristics. Simulation results for rule sets generated using class-bench databases show that the proposed algorithm has better performance in average search speed and consumes up to 3-300 times less memory space compared with previous cutting algorithms.

On the Privacy Preserving Mining Association Rules by using Randomization (연관규칙 마이닝에서 랜덤화를 이용한 프라이버시 보호 기법에 관한 연구)

  • Kang, Ju-Sung;Cho, Sung-Hoon;Yi, Ok-Yeon;Hong, Do-Won
    • The KIPS Transactions:PartC
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    • v.14C no.5
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    • pp.439-452
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    • 2007
  • We study on the privacy preserving data mining, PPDM for short, by using randomization. The theoretical PPDM based on the secure multi-party computation techniques is not practical for its computational inefficiency. So we concentrate on a practical PPDM, especially randomization technique. We survey various privacy measures and study on the privacy preserving mining of association rules by using randomization. We propose a new randomization operator, binomial selector, for privacy preserving technique of association rule mining. A binomial selector is a special case of a select-a-size operator by Evfimievski et al.[3]. Moreover we present some simulation results of detecting an appropriate parameter for a binomial selector. The randomization by a so-called cut-and-paste method in [3] is not efficient and has high variances on recovered support values for large item-sets. Our randomization by a binomial selector make up for this defects of cut-and-paste method.

Pattern classification on the basis of unnecessary attributes reduction in fuzzy rule-based systems (퍼지규칙 기반 시스템에서 불필요한 속성 감축에 의한 패턴분류)

  • Son, Chang-Sik;Kim, Doo-Ywan
    • Journal of Internet Computing and Services
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    • v.8 no.3
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    • pp.109-118
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    • 2007
  • This paper proposed a method that can be simply analyzed instead of the basic general Fuzzy rule that its insufficient characters are cut out. Based on the proposed method. Rough sets are used to eliminate the incomplete attributes included in the rule and also for a classification more precise; the agreement of the membership function's output extracted the maximum attributes. Besides, the proposed method in the simulation shows that in order to verify the validity, compare the max-product result of fuzzy before and after reducing rule hosed on the rice taste data; then, we can see that both the max-product result of fuzzy before and after reducing rule are exactly the same; for a verification more objective, we compared the defuzzificated real number section.

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Development of a Tool Deflection Compensation System for Precision End-milling (와이어 컷 방전가공에서 가공조건에 따른 신경회로망을 이용하누가공성의 평가)

  • 허현;강명창;김정석;황경현
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.1044-1048
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    • 1997
  • Wire-cut EDM is used in Die manufacturing as the part of non-traditional cutting process, But,the determination of it's cutting condition with high efficiency and precision is difficult due to the influence of cutting environment and cutting mechanism. In this study, we examine the cutting performance of the SKD11 and Brass in wire-cut EDM and make the neural network which have the configuration of 5-12-2 and back-propagation learning rule. Through the neural network, we can appraise the cutting performance before working and determine the optimal cutting condition. By introducing this method to the W-cut EDM, we can enhance the cutting efficiency.

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Classification-Based Approach for Hybridizing Statistical and Rule-Based Machine Translation

  • Park, Eun-Jin;Kwon, Oh-Woog;Kim, Kangil;Kim, Young-Kil
    • ETRI Journal
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    • v.37 no.3
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    • pp.541-550
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    • 2015
  • In this paper, we propose a classification-based approach for hybridizing statistical machine translation and rulebased machine translation. Both the training dataset used in the learning of our proposed classifier and our feature extraction method affect the hybridization quality. To create one such training dataset, a previous approach used auto-evaluation metrics to determine from a set of component machine translation (MT) systems which gave the more accurate translation (by a comparative method). Once this had been determined, the most accurate translation was then labelled in such a way so as to indicate the MT system from which it came. In this previous approach, when the metric evaluation scores were low, there existed a high level of uncertainty as to which of the component MT systems was actually producing the better translation. To relax such uncertainty or error in classification, we propose an alternative approach to such labeling; that is, a cut-off method. In our experiments, using the aforementioned cut-off method in our proposed classifier, we managed to achieve a translation accuracy of 81.5% - a 5.0% improvement over existing methods.

Method of Associative Group Using FP-Tree in Personalized Recommendation System (개인화 추천 시스템에서 FP-Tree를 이용한 연관 군집 방법)

  • Cho, Dong-Ju;Rim, Kee-Wook;Lee, Jung-Hyun;Chung, Kyung-Yong
    • The Journal of the Korea Contents Association
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    • v.7 no.10
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    • pp.19-26
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    • 2007
  • Since collaborative filtering has used the nearest-neighborhood method based on item preference it cannot only reflect exact contents but also has the problem of sparsity and scalability. The item-based collaborative filtering has been practically used improve these problems. However it still does not reflect attributes of the item. In this paper, we propose the method of associative group using the FP-Tree to solve the problem of existing recommendation system. The proposed makes frequent item and creates association rule by using FP-Tree without occurrence of candidate set. We made the efficient item group using $\alpha-cut$ according to the confidence of the association rule. To estimate the performance, the suggested method is compared with Gibbs Sampling, Expectation Maximization, and K-means in the MovieLens dataset.

Recommendation System using Associative Web Document Classification by Word Frequency and α-Cut (단어 빈도와 α-cut에 의한 연관 웹문서 분류를 이용한 추천 시스템)

  • Jung, Kyung-Yong;Ha, Won-Shik
    • The Journal of the Korea Contents Association
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    • v.8 no.1
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    • pp.282-289
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    • 2008
  • Although there were some technological developments in improving the collaborative filtering, they have yet to fully reflect the actual relation of the items. In this paper, we propose the recommendation system using associative web document classification by word frequency and ${\alpha}$-cut to address the short comings of the collaborative filtering. The proposed method extracts words from web documents through the morpheme analysis and accumulates the weight of term frequency. It makes associative rules and applies the weight of term frequency to its confidence by using Apriori algorithm. And it calculates the similarity among the words using the hypergraph partition. Lastly, it classifies related web document by using ${\alpha}$-cut and calculates similarity by using adjusted cosine similarity. The results show that the proposed method significantly outperforms the existing methods.