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Support Vector Machine methods for the prediction of cancer growth

Support Vector Machine methods for the prediction of cancer ...

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3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010: Theoretical Development and Engineering Practice

作者： Chen, Xi Ching, Wai-Ki Aoki-Kinoshita, Kiyoko F. Furuta, Koh Advanced Modeling and Applied Computing Laboratory Department of Mathematics University of Hong Kong Hong Kong Hong Kong Department of Bioinformatics Faculty of Engineering Soka University Tokyo Japan Division of Clinical Laboratories National Cancer Center Hospital Tokyo Japan

ISBN: (纸本)9780769540306

In this paper, we study the application of Support Vector Machine (SVM) in the prediction of cancer growth. SVM is known to be an efficient method and it has been widely used for classification problems. Here we propose a classifier which can differentiate patients having different levels of cancer growth with a high classification rate. To further improve the accuracy of classification, we propose to determine the optimal size of the training set and perform feature selection using rfe-gist, a special function of SVM. © 2010 IEEE.

关键词： Support vector machines

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Option valuation under a multivariate Markov chain model

Option valuation under a multivariate Markov chain model

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3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010: Theoretical Development and Engineering Practice

作者： Song, Na Ching, Wai-Ki Siu, Tak-Kuen Fung, Eric S. Ng, Michael K. Advanced Modeling and Applied Computing Laboratory Department of Mathematics University of Hong Kong Hong Kong Hong Kong Department of Actuarial Studies Faculty of Business and Economics Macquarie University Sydney Australia Department of Mathematics Hong Kong Baptist University Hong Kong Hong Kong

ISBN: (纸本)9780769540306

In this paper, we develop an option valuation model in the context of a discrete-time multivariate Markov chain model using the Esscher transform. The multivariate Markov chain provides a flexible way to incorporate the dependency of the underlying asset price processes and price multi-state options written on several dependent underlying assets. In our model, the price of an individual asset can take finitely many values. The market described by our model is incomplete in general, hence there are more than one equivalent martingale pricing measures. We adopt conditional Esscher transform to determine an equivalent martingale measure for option valuation. We also document consequences for option prices of the dependency of the underlying asset prices described by the multivariate Markov chain model. © 2010 IEEE.

关键词： Costs

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On Construction of Sparse Probabilistic Boolean Networks from a Prescribed Transition Probability Matrix

On Construction of Sparse Probabilistic Boolean Networks fro...

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第四届最优化与系统生物学国际研讨会

作者： Lu-Bin Cui Wen Li Wai-Ki Ching School of Mathematical Sciences South China Normal University Advanced Modeling and Applied Computing Laboratory Department of Mathematics The University of Hong Kong

Probabilistic Boolean Networks (PBNs) are useful models for modeling genetic regulatory networks. In this paper, we propose efficient algorithms for constructing a sparse probabilistic Boolean network when its transition probability matrix and a set of possible Boolean networks are given. This is an interesting inverse problem in network inference and it is important in the sense that most microarray data sets are assumed to be obtained from sampling the steady-state.

关键词： Probabilistic Boolean Networks Inverse Problem Sparse Transition Probability Matrix

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Delay Discrete Dynamical Models for Genetic Regulatory Networks

Delay Discrete Dynamical Models for Genetic Regulatory Netwo...

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第四届最优化与系统生物学国际研讨会

作者： Hao Jiang Wai-Ki Ching Kiyoko F.Aoki-Kinoshita DianJing Guo Advanced Modeling and Applied Computing Laboratory Department of Mathematics The University of Hong Kong Department of Bioinformatics Faculty of Engineering Soka UniversityTokyo Japan Department of Biology The Chinese University of Hong Kong

In this paper, we study the problem of constructing a regulatory network of yeast in oxidative stress process. Discrete Dynamic System (DDS) model has been introduced in describing Gene Regulatory Networks (GRNs). However, delay effect was not taken into consideration within the model. A Time-delay DDS model composed of linear difference equations is developed to represent temporal interactions among significantly expressed genes. Interpolation and re-sampling are imposed to equalize the non-uniformity of sampling time points. Statistical significance plays an active role in obtaining the optimal interaction matrix of GRNs. The constructed gene network using linear multiple regression has a very good match with the original data. Simulation results are given to demonstrate the effectiveness of our proposed model.

关键词： Gene Regulatory Networks Linear Multiple Regression Discrete Dynamic System Model k-means Clustering

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Support Vector Machine Methods for the Prediction of Cancer Growth

Support Vector Machine Methods for the Prediction of Cancer ...

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The Third International Joint Conference on Computational Science and Optimization(第三届计算科学与优化国际大会 CSO 2010)

作者： Wai-Ki Ching Xi Chen Kiyoko F. Aoki-Kinoshita Koh Furuta The Advanced Modeling and Applied Computing Laboratory Department of Mathematics The University of H Department of Bioinformatics Faculty of Engineering Soka University Tokyo Japan Division of Clinical Laboratories National Cancer Center Hospital Tokyo Japan

ISBN: (纸本)9781424468126;9780769540306

关键词： Support vector machines Cancer Support vector machine classification Metastasis Training data Neoplasms Degradation Lymph nodes Diseases Optimization methods

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Performance Analysis based Markov Theory for Hybrid Control Serial Production Lines

Performance Analysis based Markov Theory for Hybrid Control ...

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The 22nd China Control and Decision Conference(2010年中国控制与决策会议)

作者： Ying Tang Min Huang Wai-Ki Ching Institute of System Engineering College of Information Science and Engineering Northeastern Unive Institute of System Engineering College of Information Science and Engineering Northeastern Unive Advanced Modeling and Applied Computing Laboratory Department of Mathematics The University of Hon

This paper studied a multiple-stage tandem production system. The control strategy is Hybrid which combines Kanban and CONWIP strategy together. The objective here is to evaluate the performance of the system by Markov chain models. We focus on Work-In-Process (WIP) and lost rate of the system. In general it is hard to obtain an exact analytical result of the system. Thus some approximation methods are proposed here. A simple situation is considered and formulated as a Markov chain process. Then we derive the steady-state probability of the system for two and three machines case, and obtain the WIP and the lost rate. The formulations proposed show the connection of control cards and performance measures. The method can extended to the case of multiple machines. We also present the results of a simulation study that tests the performance of our approach.

关键词： Production Systems hybrid Kanban CONWIP Markov Steady-state Probability Distribution

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Option Valuation under a Multivariate Markov Chain Model

Option Valuation under a Multivariate Markov Chain Model

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International Joint Conference on Computational Sciences and Optimization, CSO

作者： Na Song Wai-Ki Ching Tak-Kuen Siu Eric S. Fung Michael K. Ng The Advanced Modeling and Applied Computing Laboratory Department of Mathematics University of Hong Kong Hong Kong China Department of Actuarial Studies Faculty of Business and Economics Macquarie University Sydney Australia Department of Mathematics Hong Kong Baptist University Hong Kong China

ISBN: (纸本)9781424468126;9780769540306

关键词： Cost accounting Context modeling Mathematical model Discrete transforms Pricing Mathematics Lattices Explosives Economic indicators Security

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Three-dimensional coherent x-ray diffractive imaging from a single view

Three-dimensional coherent x-ray diffractive imaging from a ...

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作者： Sandberg, Richard L. Raines, Kevin S. Salha, Sara Jiang, Huaidong Rodríguez, Jose A. Fahimian, Benjamin P. Kapteyn, Henry C. Murnane, Margaret M. Du, Jincheng Miao, Jianwei Department of Physics JILA University of Colorado at Boulder Boulder CO 80309-0440 United States Physical Chemistry and Applied Spectroscopy Los Alamos National Laboratory Los Alamos NM 8 7545 United States Department of Physics and Astronomy California NanoSystems Institute University of of California Los Angeles CA 90095 United States Molecular Biology Institute University of California Los Angeles CA 90095 United States Department of Materials Science and Engineering Center for Advanced Scientific Computing and Modeling University of North Texas Denton TX 76203 United States

We demonstrate that high numerical aperture coherent diffractive imaging enables three-dimensional imaging from a single exposure angle under certain conditions. We demonstrate this technique, called ankylography, wit... 详细信息

ISBN: (纸本)9781557528902

关键词： X ray lasers

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A Markovian Model for Default Risk in a Network of Sectors

A Markovian Model for Default Risk in a Network of Sectors

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The Second International Conference on Business Intelligence and Financial Engineering(BIFE 2009)(第二届商务智能与金融工程国际会议)

作者： Hao Jiang Wai-Ki Ching Liang Sun Ho-Yin Leung Advanced Modeling and Applied Computing Laboratory Department of Mathematics The University of Hong Advanced Modeling and Applied Computing Laboratory Department of Mathematics The University of Hong

In this paper, we study the problem of modeling the dependence of defaults in different sectors. We consider multiple default data sequences as a network and model them by using a Markov chain model. The new network model allows us to compute two important risk measures, namely, Value-at-Risk (VaR) and Expected Shortfall (ES). Numerical experiments are given to illustrate the practical implementation of the model. We also perform empirical studies of the model using real default data sequences and analyze the empirical behaviors of the risk measures arising from the model.

关键词： Bonding Mathematical model Laboratories Mathematics Computer networks Reactive power Yttrium Business Intelligent networks Sun

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Three-dimensional coherent x-ray diffractive imaging from a single view

Three-dimensional coherent x-ray diffractive imaging from a ...

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Conference on Lasers and Electro-Optics (CLEO)

作者： Richard L. Sandberg Kevin S. Raines Sara Salha Huaidong Jiang Jose A. Rodríguez Benjamin P. Fahimian Henry C. Kapteyn Margaret M. Murnane Jincheng Du Jianwei Miao Department of Physics and JILA University of Colorado at Boulder Boulder CO USA Now at Physical Chemistry and Applied Spectroscopy Los Alamos National Laboratory Los Alamos NM USA Department of Physics and Astronomy and California NanoSystems Institute University of California Los Angeles CA USA Department of Physics and Astronomy and California NanoSystems Institute University of of California Los Angeles California USA Molecular Biology Institute University of California Los Angeles California USA Department of Materials Science & Engineering Center for Advanced Scientific Computing and Modeling University of North Texas Denton Texas USA

ISBN: (纸本)9781557528896

关键词： X-ray imaging X-ray diffraction Optical imaging X-ray lasers Free electron lasers Image reconstruction Testing Apertures Ultrafast optics Image resolution

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