• Title/Summary/Keyword: equilibrium matrix

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A Differential Privacy Approach to Preserve GWAS Data Sharing based on A Game Theoretic Perspective

  • Yan, Jun;Han, Ziwei;Zhou, Yihui;Lu, Laifeng
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.3
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    • pp.1028-1046
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    • 2022
  • Genome-wide association studies (GWAS) aim to find the significant genetic variants for common complex disease. However, genotype data has privacy information such as disease status and identity, which make data sharing and research difficult. Differential privacy is widely used in the privacy protection of data sharing. The current differential privacy approach in GWAS pays no attention to raw data but to statistical data, and doesn't achieve equilibrium between utility and privacy, so that data sharing is hindered and it hampers the development of genomics. To share data more securely, we propose a differential privacy preserving approach of data sharing for GWAS, and achieve the equilibrium between privacy and data utility. Firstly, a reasonable disturbance interval for the genotype is calculated based on the expected utility. Secondly, based on the interval, we get the Nash equilibrium point between utility and privacy. Finally, based on the equilibrium point, the original genotype matrix is perturbed with differential privacy, and the corresponding random genotype matrix is obtained. We theoretically and experimentally show that the method satisfies expected privacy protection and utility. This method provides engineering guidance for protecting GWAS data privacy.

An Optimization Algorithm to Compute Pre-Loads of the Given Static Equilibrium State in Train Dynamics (열차동역학에서 주어진 정적평형상태의 초기하중을 계산하기 위한 최적화 알고리즘)

  • 김종인;박정훈;유홍희;황요하
    • Journal of the Korean Society for Railway
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    • v.2 no.3
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    • pp.9-17
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    • 1999
  • This paper presents a new algorithm to determine the pre-loads that sustain the static equilibrium state in a given position. The algorithm which uses a partial velocity matrix leads to an unconstrained optimization problem to compute the pre-loads of the suspensions. To demonstrate the validity of the proposed algorithm, the static analysis results that employ the pre-loads of three examples are presented using a reliable commercial program. Results of the analysis confirm the validity of the proposed algorithm.

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The Economic Effects of Tariff Reduction Based on Economic Structures (경제구조 변화에 따른 관세 감축의 파급효과 분석)

  • Hee-Yong, Lee;Sang-Ho, Lee;Ik-Su, Kim
    • Korea Trade Review
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    • v.47 no.4
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    • pp.125-135
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    • 2022
  • This study is to analyze the economic effects of tariff reduction using computable general equilibrium(CGE) model. We set up the social accounting matrix for five-base equilibrium year. Our main findings are as follows. First, the impact of tariff reduction on GDP was different from time to time. It meas that the differentiated economics structure was affected by tariff reduction. As our economic grew up, the impact of tariff reduction was measured much higher. Second, until 1995 the impact of tariff reduction on total export and import was increased, then while 1995 the increase was dropped. This is because we reduced the tariff by the WTO negotiations. Third, the tariff reduction affected the price of imported goods, so it contributed to substitute effects between domestic and imported goods. According to these results, we found out the importance of the linkage between the tariff reduction and economic structure.

SPARSE NULLSPACE COMPUTATION OF EQULILBRIUM MATRICES

  • Jang, Ho-Jong;Cha, Kyung-Joon
    • Communications of the Korean Mathematical Society
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    • v.11 no.4
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    • pp.1175-1185
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    • 1996
  • We study the computation of sparse null bases of equilibrium matrices in the context of structural optimization and incompressible fluid flow. In our approach we emphasize the parallel computatin and examine the applications. New block decomposition and node ordering schemes are suggested, and numerical examples are considered.

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Ultrafine Grained Bulk Al Matrix Carbon Nanotube Composites Processed by High Pressure Torsion (고압비틀림 성형 공정에 의한 Al 기지 CNT 복합재료의 초미세결정 벌크화)

  • Joo,, S.H.;Kim, H.S.
    • Transactions of Materials Processing
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    • v.19 no.7
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    • pp.423-428
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    • 2010
  • Carbon nanotubes(CNTs) are expected to be ideal reinforcements of metal matrix composite materials used in aircraft and sports industries due to their high strength and low density. In this study, a high pressure torsion(HPT) process at an elevated temperature(473K) was employed to achieve both powder consolidation and grain refinement of aluminummatrix nanocomposites reinforced by 5vol% CNTs. CNT/Al nanocomposite powders were fabricated using a novel molecular-level mixing process to enhance the interface bonding between the CNTs and metal matrix before the HPT process. The HPT processed disks were composed of mostly equilibrium grain boundaries. The CNT-reinforced ultrafine grained microstructural features resulted in high strength and good ductility.

On the Bayesian Fecision Making Model of 2-Person Coordination Game (2인 조정게임의 베이지안 의사결정모형)

  • 김정훈;정민용
    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.3
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    • pp.113-143
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    • 1997
  • Most of the conflict problems between 2 persons can be represented as a bi-matrix game, because player's utilities, in general, are non-zero sum and change according to the progress of game. In the bi-matrix game the equilibrium point set which satisfies the Pareto optimality can be a good bargaining or coordination solution. Under the condition of incomplete information about the risk attitudes of the players, the bargaining or coordination solution depends on additional elements, namely, the players' methods of making inferences when they reach a node in the extensive form of the game that is off the equilibrium path. So the investigation about the players' inference type and its effects on the solution is essential. In addition to that, the effect of an individual's aversion to risk on various solutions in conflict problems, as expressed in his (her) utility function, must be considered. Those kinds of incomplete information make decision maker Bayesian, since it is often impossible to get correct information for building a decision making model. In Baysian point of view, this paper represents an analytic frame for guessing and learning opponent's attitude to risk for getting better reward. As an example for that analytic frame. 2 persons'bi-matrix game is considered. This example explains that a bi-matrix game can be transformed into a kind of matrix game through the players' implicitly cooperative attitude and the need of arbitration.

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BOUNDEDNESS OF DISCRETE VOLTERRA SYSTEMS

  • Choi, Sung-Kyu;Goo, Yoon-Hoe;Koo, Nam-Jip
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.4
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    • pp.663-675
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    • 2007
  • We investigate the representation of the solution of discrete linear Volterra difference systems by means of the resolvent matrix and fundamental matrix, respectively, and then study the boundedness of the solutions of discrete Volterra systems by improving the assumptions and the proofs of Medina#s results in [6].

Static equilibrium and linear vibration analysis of a high speed electric train system (고속 전철 시스템의 정적 평형 및 선형 진동 해석)

  • 김종인;유홍희;황요하
    • Proceedings of the KSR Conference
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    • 1998.11a
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    • pp.305-312
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    • 1998
  • A formulation to perform static equilibrium and linear vibration analysis is presented in this paper. The formulation employs minimum number of equations of motion which are derived by using a partial velocity matrix, The static equilibrium analysis is performed first, then the linear vibration analysis is performed at the static equilibrium position. By using the formulation presented in this paper, static equilibrium and linear vibration analysis of a high speed electric train system are performed. A single bogie system, a power vehicle, and a train system which consists of five vehicles are analyzed, respectively. Natural frequencies and a few lowest mode shapes of the three are identified in this paper.

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Applying the Nash Equilibrium to Constructing Covert Channel in IoT

  • Ho, Jun-Won
    • International Journal of Internet, Broadcasting and Communication
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    • v.13 no.1
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    • pp.243-248
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    • 2021
  • Although many different types of covert channels have been suggested in the literature, there are little work in directly applying game theory to building up covert channel. This is because researchers have mainly focused on tailoring game theory for covert channel analysis, identification, and covert channel problem solving. Unlike typical adaptation of game theory to covert channel, we show that game theory can be utilized to establish a new type of covert channel in IoT devices. More specifically, we propose a covert channel that can be constructed by utilizing the Nash Equilibrium with sensor data collected from IoT devices. For covert channel construction, we set random seed to the value of sensor data and make payoff from random number created by running pseudo random number generator with the configured random seed. We generate I × J (I ≥ 2, J ≥ 2) matrix game with these generated payoffs and attempt to obtain the Nash Equilibrium. Covert channel construction method is distinctly determined in accordance with whether or not to acquire the Nash Equilibrium.

The Effect of Destabilization Heat Treatment on the Carbide and Matrix Microstructures of 3%C-18%Cr-1%Mo-2%Ni-1%Mn High Chromium Cast Iron (3%C-18%Cr-1%Mo-2%Ni-1%Mn 고크롬백주철의 탄화물 및 기지조직에 미치는 불안정화열처리의 영향)

  • Yu, Sung-Kon
    • Korean Journal of Materials Research
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    • v.13 no.9
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    • pp.581-586
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    • 2003
  • 3%C-18%Cr-1%Mo-2%Ni-1%Mn high chromium cast iron was casted and destabilized at temperatures of 900, 1000 and $1100^{\circ}C$ for 1, 2, 4 and 8hr under $N_2$atmosphere to observe the effect of destabilization temperature and time on the carbide and matrix structures. In as-cast condition, the microstructure consisted of $M_{ 7}$$C_3$ carbides and matrix structures which were composed of 91.50% austenite and 8.50% martensite. Numerous fine secondary carbides were observed in the specimens destabilized at $900^{\circ}C$ for 1, 2, 4 and 8hr. But, the number of secondary carbides were much reduced with the increased destabilization temperature. More austenite was formed in the matrix with the higher destabilization temperature. The amounts of austenite in the matrix were 4.23% at $900^{\circ}C$, 29.68% at $1000^{\circ}C$ and 66.51% at$ 1100^{\circ}C$, respectively. However, the effect of destabilization time on the secondary carbide and matrix was very weak compared with that of destabilization temperature. The ranges of the amount of austenite in the matrix from 1hr to 8hr destabilization heat treatment were: 3.95%-4.35% at $900^{\circ}C$, 28.89%-30.15% at $1000^{\circ}C$ and 65.13%-67.12% at $1100^{\circ}C$, respectively. The variation ranges were very narrow. The equilibrium concentration of C and Cr in austenite was already reached within 1hr during destabilization heat treatment. After an attainment of the equilibrium concentration of C and Cr in austenite, no more secondary carbide was precipitated from the matrix.