Computational network theory: theoretical foundations and applications
Saved in:
| Other Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Weinheim
Wiley-VCH
[2015]
|
| Series: | Quantitative and network biology
volume 5 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XXXIV, 242 Seiten Diagramme (teilweise farbig) |
| ISBN: | 9783527337248 9783527691517 |
Staff View
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Record in the Search Index
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| adam_text |
IX
CONTENTS
COLOR PLATES XV
PREFACE XXXI
LIST OF CONTRIBUTORS XXXIII
1 MODEL SELECTION FOR NEURAL NETWORK MODELS: A STATISTICAL
PERSPECTIVE 1
MICHELE LA ROCCA AND
CIRA PERNA
1.1 INTRODUCTION 1
1.2 FEEDFORWARD NEURAL NETWORK MODELS 2
1.3 MODEL SELECTION 4
1.3.1 FEATURE SELECTION BY RELEVANCE MEASURES 6
1.3.2 SOME NUMERICAL EXAMPLES 10
1.3.3 APPLICATION TO REAL DATA 12
1.4 THE SELECTION OF THE HIDDEN LAYER SIZE 14
1.4.1 A REALITY CHECK APPROACH 15
1.4.2 NUMERICAL EXAMPLES BY USING THE REALITY CHECK 16
1.4.3 TESTING SUPERIOR PREDICTIVE ABILITY FOR NEURAL NETWORK
MODELING 19
1.4.4 SOME NUMERICAL RESULTS USING TEST OF SUPERIOR PREDICTIVE
ABILITY 21
1.4.5 AN APPLICATION TO REAL DATA 23
1.5 CONCLUDING REMARKS 26
REFERENCES 26
2 MEASURING STRUCTURAL CORRELATIONS IN GRAPHS 29
ZIYU GUAN
AND XIFENG YAN
2.1 INTRODUCTION 29
2.1.1 SOLUTIONS FOR MEASURING STRUCTURAL CORRELATIONS 31
2.2 RELATED WORK 32
2.3 SELF STRUCTURAL CORRELATION 34
2.3.1 PROBLEM FORMULATION 34
2.3.2 THE MEASURE 34
2.3.2.1 RANDOM WALK AND HITTING TIME 35
HTTP://D-NB.INFO/1061104206
X CONTENTS
2.3.2.2 DECAYED HITTING TIME 36
2.3.3 COMPUTING DECAYED HITTING TIME 37
2.3.3.1 ITERATIVE APPROXIMATION 37
2.3.3.2 A SAMPLING ALGORITHM FOR H(V
IT
B) 39
2.3.3.3 COMPLEXITY 40
2.3.4 ASSESSING SSC 41
2.3.4.1 ESTIMATING P{V
Q
) 41
2.3.4.2 ESTIMATING THE SIGNIFICANCE OF P(V
?
) 42
2.3.5 EMPIRICAL STUDIES 45
2.3.5.1 DATASETS 45
2.3.5.2 PERFORMANCE OF DHT APPROXIMATION 45
2.3.5.3 EFFECTIVENESS ON SYNTHETIC EVENTS 47
2.3.5.4 SSC OF REAL EVENT 49
2.3.5.5 SCALABILITY OF SAMPLING-ALG 51
2.3.6 DISCUSSIONS 51
2.4 TWO-EVENT STRUCTURAL CORRELATION 52
2.4.1 PRELIMINARIES AND PROBLEM FORMULATION 52
2.4.2 MEASURING TESC 53
2.4.2.1 THE TEST 54
2.4.2.2 REFERENCE NODES 56
2.4.3 REFERENCE NODE SAMPLING 56
2.4.3.1 BATCH_BFS 57
2.4.3.2 IMPORTANCE SAMPLING 58
2.4.3.3 GLOBAL SAMPLING IN WHOLE GRAPH 61
2.4.3.4 COMPLEXITY ANALYSIS 61
2.4.4 EXPERIMENTS 62
2.4.4.1 GRAPH DATASETS 62
2.4.4.2 EVENT SIMULATION METHODOLOGY 63
2.4.4.3 PERFORMANCE COMPARISON 63
2.4.4.4 BATCH IMPORTANCE SAMPLING 65
2.4.4.5 IMPACT OF GRAPH DENSITY 66
2.4.4.6 EFFICIENCY AND SCALABILITY 66
2.4.4.7 REAL EVENTS 68
2.4.5 DISCUSSIONS 70
2.5 CONCLUSIONS 72
ACKNOWLEDGMENTS 72
REFERENCES 72
3 SPECTRAL GRAPH THEORY AND STRUCTURAL ANALYSIS OF COMPLEX NETWORKS:
AN INTRODUCTION 75
SALISSOU MOUTARI
AND ASHRAFAHMED
3.1 INTRODUCTION 75
3.2 GRAPH THEORY: SOME BASIC CONCEPTS 76
3.2.1 CONNECTIVITY IN GRAPHS 77
3.2.2 SUBGRAPHS AND SPECIAL GRAPHS 80
CONTENTS | XI
3.3 MATRIX THEORY: SOME BASIC CONCEPTS 81
3.3.1 TRACE AND DETERMINANT OF A MATRIX 81
3.3.2 EIGENVALUES AND EIGENVECTORS OF A MATRIX 82
3.4 GRAPH MATRICES 83
3.4.1 ADJACENCY MATRIX 84
3.4.2 INCIDENCE MATRIX 84
3.4.3 DEGREE MATRIX AND DIFFUSION MATRIX 85
3.4.4 LAPLACE MATRIX 85
3.4.5 CUT-SET MATRIX
86
3.4.6 PATH MATRIX 86
3.5 SPECTRAL GRAPH THEORY: SOME BASIC RESULTS
86
3.5.1 SPECTRAL CHARACTERIZATION OF GRAPH CONNECTIVITY 87
3.5.1.1 SPECTRAL THEORY AND WALKS
88
3.5.2 SPECTRAL CHARACTERISTICS OF SOME SPECIAL GRAPHS AND SUBGRAPHS 89
3.5.2.1 TREE 89
3.5.2.2 BIPARTITE GRAPH 89
3.5.2.3 COMPLETE GRAPH 90
3.5.2.4 REGULAR GRAPH 90
3.5.2.5 LINE GRAPH 90
3.5.3 SPECTRAL THEORY AND GRAPH COLOURING 91
3.5.4 SPECTRAL THEORY AND GRAPH DRAWING 91
3.6 COMPUTATIONAL CHALLENGES FOR SPECTRAL GRAPH ANALYSIS 91
3.6.1 KRYLOV SUBSPACE METHODS 91
3.6.2 CONSTRAINED OPTIMIZATION APPROACH 94
3.7 CONCLUSION 94
REFERENCES 95
4 CONTAGION IN INTERBANK NETWORKS 97
GRZEGORZ HAFAJ
AND CHRISTOFFER KOK
4.1 INTRODUCTION 97
4.2 RESEARCH CONTEXT 99
4.3 MODELS 103
4.3.1 SIMULATED NETWORKS 104
4.3.1.1 PROBABILITY MAP 105
4.3.1.2 INTERBANK NETWORK 105
4.3.1.3 CONTAGION MECHANISM 107
4.3.1.4 FIRE SALES OF ILLIQUID PORTFOLIO 108
4.3.2 SYSTEMIC PROBABILITY INDEX 109
4.3.3 ENDOGENOUS NETWORKS 110
4.3.3.1 BANKS 113
4.3.3.2 FIRST ROUND - OPTIMIZATION OF INTERBANK ASSETS 115
4.3.3.3 SECOND ROUND-ACCEPTING PLACEMENTS ACCORDING TO FUNDING
NEEDS 116
4.3.3.4 THIRD ROUND-BARGAINING GAME 117
4.3.3.5 FOURTH ROUND-PRICE ADJUSTMENTS 118
XIII
CONTENTS
4.4 RESULTS 119
4.4.1 DATA 119
4.4.2 SIMULATED NETWORKS 120
4.4.3 STRUCTURE OF ENDOGENOUS INTERBANK NETWORKS 123
4.5 STRESS TESTING APPLICATIONS 127
4.6 CONCLUSIONS 130
REFERENCES 131
5 DETECTION, LOCALIZATION, AND TRACKING OF A SINGLE AND MULTIPLE TARGETS
WITH WIRELESS SENSOR NETWORKS 137
NATALLIA KATENKA
5.1 INTRODUCTION AND OVERVIEW 137
5.2 DATA COLLECTION AND FUSION BY WSN 138
5.3 TARGET DETECTION 141
5.3.1 TARGET DETECTION FROM VALUE FUSION (ENERGIES) 142
5.3.2 TARGET DETECTION FROM ORDINARY DECISION FUSION 143
5.3.3 TARGET DETECTION FROM LOCAL VOTE DECISION FUSION 144
5.3.3.1 REMARK 1: LVDF FIXED NEIGHBOURHOOD SIZE 145
5.3.3.2 REMARK 2: LVDF REGULAR GRIDS 146
5.3.3.3 REMARK 3: QUALITY OF APPROXIMATION 148
5.3.3.4 REMARK 4: DETECTION PERFORMANCE 148
5.3.3.5 CONCLUDING REMARKS 148
5.4 SINGLE TARGET LOCALIZATION AND DIAGNOSTIC 149
5.4.1 LOCALIZATION AND DIAGNOSTIC FROM VALUE FUSION (ENERGIES) 150
5.4.2 LOCALIZATION AND DIAGNOSTIC FROM ORDINARY DECISION FUSION 151
5.4.3 LOCALIZATION AND DIAGNOSTIC FROM LOCAL VOTE DECISION FUSION 152
5.4.4 HYBRID MAXIMUM LIKELIHOOD ESTIMATES 153
5.4.5 PROPERTIES OF MAXIMUM-LIKELIHOOD ESTIMATES 154
5.4.5.1 REMARK 1: ACCURACY OF TARGET LOCALIZATION 155
5.4.5.2 REMARK 2: STARTING VALUES FOR LOCALIZATION 155
5.4.5.3 REMARK 3: ROBUSTNESS TO MODEL MISSPECIFICATION 156
5.4.5.4 REMARK 4: COMPUTATIONAL COST 156
5.4.5.5 CONCLUDING REMARKS 157
5.5 MULTIPLE TARGET LOCALIZATION AND DIAGNOSTIC 157
5.5.1 MULTIPLE TARGET LOCALIZATION FROM ENERGIES 158
5.5.2 MULTIPLE TARGET LOCALIZATION FROM BINARY DECISIONS 158
5.5.3 MULTIPLE TARGET LOCALIZATION FROM CORRECTED DECISIONS 159
5.5.3.1 REMARK 1: HYBRID ESTIMATION 160
5.5.3.2 REMARK 2: STARTING VALUES 160
5.5.3.3 ESTIMATING THE NUMBER OF TARGETS 160
5.5.3.4 CONCLUDING REMARKS 160
5.6 MULTIPLE TARGET TRACKING 161
5.7 APPLICATIONS AND CASE STUDIES 165
5.7.1 THE NEST PROJECT 166
5.7.2 THE ZEBRANET PROJECT 168
CONTENTS XIII
5.8 FINAL REMARKS 1 70
REFERENCES 171
6 COMPUTING IN DYNAMIC NETWORKS 173
OTHON MICHAIL,
LOANNIS
CHATZIGIANNAKIS,
AND PAUL G. SPIRAKIS
6.1 INTRODUCTION 173
6.1.1 MOTIVATION-STATE OF THE ART 173
6.1.2 STRUCTURE OF THE CHAPTER 177
6.2 PRELIMINARIES 177
6.2.1 THE DYNAMIC NETWORK MODEL 177
6.2.2 PROBLEM DEFINITIONS 179
6.3 SPREAD OF INFLUENCE IN DYNAMIC GRAPHS (CAUSAL INFLUENCE) 180
6.4 NAMING AND COUNTING IN ANONYMOUS UNKNOWN DYNAMIC
NETWORKS 182
6.4.1 FURTHER RELATED WORK 183
6.4.2 STATIC NETWORKS WITH BROADCAST 183
6.4.3 DYNAMIC NETWORKS WITH BROADCAST J86
6.4.4 DYNAMIC NETWORKS WITH ONE-TO-EACH 188
6.4.5 HIGHER DYNAMICITY 195
6.5 CAUSALITY, INFLUENCE, AND COMPUTATION IN POSSIBLY DISCONNECTED
SYNCHRONOUS DYNAMIC NETWORKS 196
6.5.1 OUR METRICS 196
6.5.1.1 THE INFLUENCE TIME 196
6.5.1.2 THE MOI (CONCURRENT PROGRESS) 199
6.5.1.3 THE CONNECTIVITY TIME 200
6.5.2 FAST PROPAGATION OF INFORMATION UNDER CONTINUOUS
DISCONNECTIVITY 201
6.5.3 TERMINATION AND COMPUTATION 203
6.5.3.1 NODES KNOW AN UPPER BOUND ON THE CT: AN OPTIMAL TERMINATION
CRITERION 204
6.5.3.2 KNOWN UPPER BOUND ON THE OIT 205
6.5.3.3 HEARING THE FUTURE 208
6.6 LOCAL COMMUNICATION WINDOWS 212
6.7 CONCLUSIONS 215
REFERENCES 216
7 VISUALIZATION AND INTERACTIVE ANALYSIS FOR COMPLEX NETWORKS BY MEANS
OF LOSSLESS NETWORK COMPRESSION 219
MATTHIAS REIMANN, LOIC ROYER,
SIMONE DAMINELLI,
AND MICHAEL SCHROEDER
7.1 INTRODUCTION 219
7.1.1 ILLUSTRATIVE EXAMPLE 221
7.2 POWER GRAPH ALGORITHM 221
7.2.1 FORMAL DEFINITION OF POWER GRAPHS 221
7.2.2 SEMANTICS OF POWER GRAPHS 222
7.2.3 POWER GRAPH CONDITIONS 222
XIV
| CONTENTS
7.2.4 EDGE REDUCTION AND RELATIVE EDGE REDUCTION 223
7.2.5 POWER GRAPH EXTRACTION 225
7.3 VALIDATION - EDGE REDUCTION DIFFERS FROM RANDOM 227
7.4 GRAPH COMPARISON WITH POWER GRAPHS 228
7.5 EXCURSUS: LAYOUT OF POWER GRAPHS 229
7.6 INTERACTIVE VISUAL ANALYTICS 231
7.6.1 POWER EDGE FILTERING 232
7.6.1.1 ZOOMING AND NETWORK EXPANSION 233
7.7 CONCLUSION 234
REFERENCES 234
INDEX 237 |
| any_adam_object | 1 |
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| discipline | Biologie Informatik |
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| id | DE-604.BV042715709 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-03T02:33:38Z |
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| isbn | 9783527337248 9783527691517 |
| language | English |
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| owner_facet | DE-188 DE-11 DE-20 |
| physical | XXXIV, 242 Seiten Diagramme (teilweise farbig) |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Wiley-VCH |
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| series | Quantitative and network biology |
| series2 | Quantitative and network biology |
| spelling | Computational network theory theoretical foundations and applications edited by Matthias Dehmer, Frank Emmert-Streib, and Stefan Pickl Weinheim Wiley-VCH [2015] © 2015 XXXIV, 242 Seiten Diagramme (teilweise farbig) txt rdacontent n rdamedia nc rdacarrier Quantitative and network biology volume 5 Computersimulation (DE-588)4148259-1 gnd rswk-swf Netzwerktheorie (DE-588)4171531-7 gnd rswk-swf Netzwerktheorie (DE-588)4171531-7 s Computersimulation (DE-588)4148259-1 s DE-604 Dehmer, Matthias 1968- (DE-588)129565245 edt Emmert-Streib, Frank (DE-588)128590777 edt Pickl, Stefan 1967- (DE-588)12132799X edt Erscheint auch als Online-Ausgabe, EPUB 978-3-527-69154-8 Erscheint auch als Online-Ausgabe, MOBI 978-3-527-69152-4 Erscheint auch als Online-Ausgabe, PDF 978-3-527-69153-1 Quantitative and network biology volume 5 (DE-604)BV037388746 5 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4828626&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028146961&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Computational network theory theoretical foundations and applications Quantitative and network biology Computersimulation (DE-588)4148259-1 gnd Netzwerktheorie (DE-588)4171531-7 gnd |
| subject_GND | (DE-588)4148259-1 (DE-588)4171531-7 |
| title | Computational network theory theoretical foundations and applications |
| title_auth | Computational network theory theoretical foundations and applications |
| title_exact_search | Computational network theory theoretical foundations and applications |
| title_full | Computational network theory theoretical foundations and applications edited by Matthias Dehmer, Frank Emmert-Streib, and Stefan Pickl |
| title_fullStr | Computational network theory theoretical foundations and applications edited by Matthias Dehmer, Frank Emmert-Streib, and Stefan Pickl |
| title_full_unstemmed | Computational network theory theoretical foundations and applications edited by Matthias Dehmer, Frank Emmert-Streib, and Stefan Pickl |
| title_short | Computational network theory |
| title_sort | computational network theory theoretical foundations and applications |
| title_sub | theoretical foundations and applications |
| topic | Computersimulation (DE-588)4148259-1 gnd Netzwerktheorie (DE-588)4171531-7 gnd |
| topic_facet | Computersimulation Netzwerktheorie |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4828626&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028146961&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV037388746 |
| work_keys_str_mv | AT dehmermatthias computationalnetworktheorytheoreticalfoundationsandapplications AT emmertstreibfrank computationalnetworktheorytheoreticalfoundationsandapplications AT picklstefan computationalnetworktheorytheoreticalfoundationsandapplications |