Applied Modeling Techniques and Data Analysis 1 Computational Data Analysis Methods and Tools.

This book includes the most recent advances on this topic, meeting increasing demand from wide circles of the scientific community. Applied Modeling Techniques and Data Analysis 1 is a collective work by a number of leading scientists, analysts, engineers, mathematicians and statisticians, working o...

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Bibliographic Details
Main Author: Dimotikalis, Yannis
Other Authors: Karagrigoriou, Alex, Parpoula, Christina, Skiadas, Christos H.
Format: eBook
Language:English
Published: Newark : John Wiley & Sons, Incorporated, 2021.
Subjects:
Online Access:Click for online access

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040 |a EBLCP  |b eng  |c EBLCP  |d EBLCP  |d LIV  |d OCLCQ  |d REDDC  |d OCLCO  |d OCLCL  |d ESU  |d U3W  |d K6U  |d OCLCQ  |d UEJ 
066 |c (S 
020 |a 9781119821564 
020 |a 1119821568 
035 |a (OCoLC)1247656654 
050 1 4 |a QA276-280  |b .D56 2021 
049 |a HCDD 
100 1 |a Dimotikalis, Yannis. 
245 1 0 |a Applied Modeling Techniques and Data Analysis 1  |h [electronic resource] :  |b Computational Data Analysis Methods and Tools. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2021. 
300 |a 1 online resource (297 p.) 
500 |a Description based upon print version of record. 
505 0 |a Cover -- Half-Title Page -- Title Page -- Copyright Page -- Contents -- Preface -- PART 1: Computational Data Analysis -- 1 A Variant of Updating PageRank in Evolving Tree Graphs -- 1.1. Introduction -- 1.2. Notations and definitions -- 1.3. Updating the transition matrix -- 1.4. Updating the PageRank of a tree graph -- 1.4.1. Updating the PageRank of tree graph when a batch of edges changes -- 1.4.2. An example of updating the PageRank of a tree -- 1.5. Maintaining the levels of vertices in a changing tree graph -- 1.6. Conclusion -- 1.7. Acknowledgments -- 1.8. References 
505 8 |a 2 Nonlinearly Perturbed Markov Chains and Information Networks -- 2.1. Introduction -- 2.2. Stationary distributions for Markov chains with damping component -- 2.2.1. Stationary distributions for Markov chains with damping component -- 2.2.2. The stationary distribution of the Markov chain X0,n -- 2.3. A perturbation analysis for stationary distributions of Markov chains with damping component -- 2.3.1. Continuity property for stationary probabilities -- 2.3.2. Rate of convergence for stationary distributions -- 2.3.3. Asymptotic expansions for stationary distributions 
505 8 |a 2.3.4. Results of numerical experiments -- 2.4. Coupling and ergodic theorems for perturbed Markov chains with damping component -- 2.4.1. Coupling for regularly perturbed Markov chains with damping component -- 2.4.2. Coupling for singularly perturbed Markov chains with damping component -- 2.4.3. Ergodic theorems for perturbed Markov chains with damping component in the triangular array mode -- 2.4.4. Numerical examples -- 2.5. Acknowledgments -- 2.6. References -- 3 PageRank and Perturbed Markov Chains -- 3.1. Introduction -- 3.2. PageRank of the first-order perturbed Markov chain 
505 8 |a 3.3. PageRank of the second-order perturbed Markov chain -- 3.4. Rates of convergence of PageRanks of first- and second-order perturbed Markov chains -- 3.5. Conclusion -- 3.6. Acknowledgments -- 3.7. References -- 4 Doubly Robust Data-driven Distributionally Robust Optimization -- 4.1. Introduction -- 4.2. DD-DRO, optimal transport and supervised machine learning -- 4.2.1. Optimal transport distances and discrepancies -- 4.3. Data-driven selection of optimal transport cost function -- 4.3.1. Data-driven cost functions via metric learning procedures -- 4.4. Robust optimization for metric learning 
500 |a 5.2.5. PageRank centrality. 
520 |a This book includes the most recent advances on this topic, meeting increasing demand from wide circles of the scientific community. Applied Modeling Techniques and Data Analysis 1 is a collective work by a number of leading scientists, analysts, engineers, mathematicians and statisticians, working on the front end of data analysis and modeling applications. --  |c Edited summary from book. 
650 0 |a Quantitative research  |x Data processing. 
700 1 |a Karagrigoriou, Alex. 
700 1 |a Parpoula, Christina. 
700 1 |a Skiadas, Christos H. 
776 0 8 |i Print version:  |a Dimotikalis, Yannis  |t Applied Modeling Techniques and Data Analysis 1  |d Newark : John Wiley & Sons, Incorporated,c2021  |z 9781786306739 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=6532360  |y Click for online access 
880 8 |6 505-00  |a 4.4.1. Robust optimization for relative metric learning -- 4.4.2. Robust optimization for absolute metric learning -- 4.5. Numerical experiments -- 4.6. Discussion and conclusion -- 4.7. References -- 5 A Comparison of Graph Centrality Measures Based on Lazy Random Walks -- 5.1. Introduction -- 5.1.1. Notations and abbreviations -- 5.1.2. Linear systems and the Neumann series -- 5.2. Review on some centrality measures -- 5.2.1. Degree centrality -- 5.2.2. Katz status and β-centralities -- 5.2.3. Eigenvector and cumulative nomination centralities -- 5.2.4. Alpha centrality 
903 |a EBC-AC 
994 |a 92  |b HCD