Directed information measures in neuroscience:
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg [u.a.]
Springer
2014
|
| Schriftenreihe: | Understanding complex systems
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 225 S. graph. Darst. |
| ISBN: | 9783642544736 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
PART I: INTRODUCTION TO DIRECTED INFORMATION MEASURES
TRANSFER ENTROPY IN NEUROSCIENCE 3
MICHAEL WIBRAL, RAUL VICENTE, MICHAEL LINDNER
1 INTRODUCTION 3
2 CONCEPTS 4
2.1 PHYSICAL SYSTEMS, TIME SERIES, RANDOM PROCESSES
AND RANDOM VARIABLES 4
2.2 BASIC INFORMATION THEORY 5
2.3 THE TRANSFER ENTROPY FUNCTIONAL 7
2.4 INTERPRETATION OF TE 8
3 PRACTICAL APPLICATION 12
3.1 SIGNAL REPRESENTATION AND STATE SPACE
RECONSTRUCTION 12
3.2 TRANSFER ENTROPY ESTIMATORS 13
3.3 A GRAPHICAL SUMMARY OF THE TE PRINCIPLE 16
3.4 INFORMATION TRANSFER DELAY ESTIMATION 18
3.5 PRACTICAL TE ESTIMATION AND OPEN SOURCE TOOLS 20
4 COMMON PROBLEMS AND SOLUTIONS 23
4.1 STATISTICAL TESTING TO OVERCOME BIAS AND VARIANCE
PROBLEMS 23
4.2 MULTIVARIATE TE AND APPROXIMATION TECHNIQUES 24
4.3 OBSERVATION NOISE 25
4.4 STATIONARITY AND ENSEMBLE METHODS 26
5 RELATION TO OTHER DIRECTED INFORMATION MEASURES 27
5.1 TIME-LAGGED MUTUAL INFORMATION 27
5.2 TRANSFER ENTROPY AND MASSEY S DIRECTED INFORMATION... 28
5.3 MOMENTARY INFORMATION TRANSFER 30
6 SUMMARY AND OUTLOOK 31
REFERENCES 32
HTTP://D-NB.INFO/1047007223
X CONTENTS
EFFICIENT ESTIMATION OF INFORMATION TRANSFER 37
RAUL VICENTE, MICHAEL WIBRAL
1 INTRODUCTION 37
2 WHY INFORMATION THEORY? 38
2.1 TRANSFER ENTROPY 40
3 A ZOO OF ESTIMATORS 41
3.1 PARAMETRIC ESTIMATORS 42
3.2 NON-PARAMETRIC ESTIMATORS 43
4 ESTIMATING TRANSFER ENTROPY FROM TIME SERIES VIA NEAREST
NEIGHBOR STATISTICS: STEP BY STEP 49
4.1 STEP 1: RECONSTRUCTING THE STATE SPACE 49
4.2 STEP 2: COMPUTING THE TRANSFER ENTROPY NUMERICAL
ESTIMATOR 50
4.3 STEP 3: USING TRANSFER ENTROPY AS A STATISTIC 51
4.4 TOOLBOXES 51
5 COPING WITH NON-STATIONARITY: AN ENSEMBLE ESTIMATOR 52
6 DISCUSSION 54
REFERENCES 55
PART II: INFORMATION TRANSFER IN NEURAL AND OTHER PHYSIOLOGICAL SYSTEMS
CONDITIONAL ENTROPY-BASED EVALUATION OF INFORMATION DYNAMICS IN
PHYSIOLOGICAL SYSTEMS 61
LUCA FAES, ALBERTO PORTA
1 INTRODUCTION 62
2 INFORMATION DYNAMICS IN COUPLED SYSTEMS 63
2.1 SELF ENTROPY, CROSS ENTROPY AND TRANSFER ENTROPY IN
BIVARIATE SYSTEMS 63
2.2 SELF ENTROPY, CROSS ENTROPY AND TRANSFER ENTROPY IN
MULTIVARIATE SYSTEMS 65
2.3 SELF ENTROPY, CROSS ENTROPY AND TRANSFER ENTROPY AS
COMPONENTS OF SYSTEM PREDICTIVE INFORMATION 66
3 STRATEGIES FOR THE ESTIMATION OF INFORMATION DYNAMICS
MEASURES 68
3.1 CORRECTED CONDITIONAL ENTROPY 69
3.2 CORRECTED CONDITIONAL ENTROPY FROM NON-UNIFORM
EMBEDDING 73
3.3 PARAMETER SETTING AND OPEN ISSUES 75
4 APPLICATIONS TO PHYSIOLOGICAL SYSTEMS 78
4.1 APPLICATIONS OF SELF ENTROPY ANALYSIS 78
4.2 APPLICATIONS OF CROSS ENTROPY ANALYSIS 80
4.3 APPLICATIONS OF TRANSFER ENTROPY ANALYSIS 81
5 CONCLUSIONS AND FUTURE DIRECTIONS 83
REFERENCES 84
CONTENTS XI
INFORMATION TRANSFER IN THE BRAIN: INSIGHTS FROM A UNIFIED APPROACH ...
87
DANIELE MARINAZZO, GUORONG WU, MARIO PELLICORO, SEBASTIANO STRAMAGLIA
1 ECONOMICS OF INFORMATION TRANSFER IN NETWORKS 88
1.1 MODEL 88
1.2 ELECTROENCEPHALOGRAPHIC RECORDINGS 93
2 PARTIAL CONDITIONING OF GRANGER CAUSALITY 95
2.1 FINDING THE MOST INFORMATIVE VARIABLES 96
2.2 PARTIAL CONDITIONING IN A DYNAMICAL MODEL 98
2.3 PARTIAL CONDITIONING IN RESTING STATE FMRI 100
3 INFORMATIVE CLUSTERING 100
3.1 IDENTIFICATION OF IRREDUCIBLE SUBGRAPHS 101
4 EXPANSION OF THE TRANSFER ENTROPY 102
4.1 APPLICATIONS: MAGNETIC RESONANCE AND EEG DATA 105
4.2 RELATIONSHIP WITH INFORMATION STORAGE 107
5 CONCLUSIONS 108
REFERENCES 108
FUNCTION FOLLOWS DYNAMICS: STATE-DEPENDENCY OF DIRECTED FUNCTIONAL
INFLUENCES ILL
DEMIAN BATTAGLIA
1 INTRODUCTION ILL
2 STATE-CONDITIONED TRANSFER ENTROPY 113
3 DIRECTED FUNCTIONAL INTERACTIONS IN BURSTING CULTURES 115
3.1 NEURONAL CULTURES IN SILICO 115
3.2 EXTRACTION OF DIRECTED FUNCTIONAL NETWORKS 118
3.3 ZERO-LAG CAUSAL INTERACTIONS FOR SLOW-RATE CALCIUM
IMAGING 118
3.4 STATE-SELECTION CONSTRAINTS FOR NEURONAL CULTURES 119
3.5 FUNCTIONAL MULTIPLICITY IN SIMULATED CULTURES 120
3.6 STRUCTURAL CONNECTIVITY FROM DIRECTED FUNCTIONAL
CONNECTIVITY 121
3.7 STRUCTURAL DEGENERACY IN SIMULATED CULTURES 123
4 DIRECTED FUNCTIONAL INTERACTIONS IN MOTIFS OF OSCILLATING
AREAS 124
4.1 OSCILLATING LOCAL AREAS IN SILICO 125
4.2 STATE-SELECTION CONSTRAINTS FOR MOTIFS OF OSCILLATING
AREAS 126
4.3 FUNCTIONAL MULTIPLICITY IN MOTIFS OF OSCILLATING
AREAS 127
4.4 CONTROL OF INFORMATION FLOW DIRECTIONALITY 129
5 FUNCTION FROM STRUCTURE, VIA DYNAMICS 131
REFERENCES 132
XII
CONTENTS
ON COMPLEXITY AND PHASE EFFECTS IN RECONSTRUCTING THE DIRECTIONALITY
OF COUPLING IN NON-LINEAR SYSTEMS 137
VASILY A. VAKORIN, OLGA KRAKOVSKA, ANTHONY R. MCINTOSH
1 INTRODUCTION 137
2 COUPLED NON-LINEAR SYSTEMS 139
3 GRANGER CAUSALITY : STANDARD, SPECTRAL AND NON-LINEAR 139
4 PHASE SYNCHRONIZATION AND PHASE DELAYS 142
5 CAUSALITY AND PHASE DIFFERENCES: THREE SCENARIOS 142
6 INFLUENCE OF THE PARAMETERS OF COUPLING ON CAUSALITY AND
PHASE DELAYS 148
7 INFORMATION CONTENT OF THE OBSERVED TIME SERIES 151
8 DIRECTIONALITY OF COUPLING AND DIFFERENCES IN COMPLEXITY 152
9 CONCLUSION 155
REFERENCES 157
PART III: RECENT ADVANCES IN THE ANALYSIS OF INFORMATION PROCESSING
MEASURING THE DYNAMICS OF INFORMATION PROCESSING ON A LOCAL SCALE
IN TIME AND SPACE 161
JOSEPH T. LIZIER
1 INTRODUCTION 161
2 INFORMATION-THEORETIC PRELIMINARIES 164
3 LOCAL INFORMATION THEORETIC MEASURES 167
3.1 SHANNON INFORMATION CONTENT AND ITS MEANING 168
3.2 LOCAL MUTUAL INFORMATION AND CONDITIONAL MUTUAL
INFORMATION 170
3.3 LOCAL INFORMATION MEASURES FOR TIME SERIES 172
3.4 ESTIMATING THE LOCAL QUANTITIES 173
4 LOCAL MEASURES OF INFORMATION PROCESSING 175
4.1 LOCAL INFORMATION STORAGE 175
4.2 LOCAL INFORMATION TRANSFER 176
5 LOCAL INFORMATION PROCESSING IN CELLULAR AUTOMATA 180
5.1 BLINKERS AND BACKGROUND DOMAINS AS INFORMATION
STORAGE ENTITIES 182
5.2 PARTICLES, GLIDERS AND DOMAIN WALLS AS DOMINANT
INFORMATION TRANSFER ENTITIES 183
5.3 SOURCES CAN BE LOCALLY MISINFORMATIVE 185
5.4 CONDITIONAL TRANSFER ENTROPY IS COMPLEMENTARY 185
5.5 CONTRASTING INFORMATION TRANSFER AND CAUSAL EFFECT... . 186
6 DISCUSSION: RELEVANCE OF LOCAL MEASURES TO COMPUTATIONAL
NEUROSCIENCE 187
REFERENCES 188
CONTENTS XIII
PARAMETRIC AND NON-PARAMETRIC CRITERIA FOR CAUSAL INFERENCE FROM
TIME-SERIES 195
DANIEL CHICHARRO
1 INTRODUCTION 195
2 NON-PARAMETRIC APPROACH TO CAUSAL INFERENCE FROM
TIME-SERIES 197
2.1 NON-PARAMETRIC CRITERIA FOR CAUSAL INFERENCE 197
2.2 MEASURES TO TEST FOR CAUSALITY 198
3 PARAMETRIC APPROACH TO CAUSAL INFERENCE FROM TIME-SERIES 200
3.1 THE AUTOREGRESSIVE PROCESS REPRESENTATION 201
3.2 PARAMETRIC MEASURES OF CAUSALITY 202
3.3 PARAMETRIC CRITERIA FOR CAUSAL INFERENCE 208
3.4 ALTERNATIVE GEWEKE SPECTRAL MEASURES 210
3.5 ALTERNATIVE PARAMETRIC CRITERIA BASED ON INNOVATIONS
PARTIAL DEPENDENCE 211
4 COMPARISON OF NON-PARAMETRIC AND PARAMETRIC CRITERIA FOR
CAUSAL INFERENCE FROM TIME-SERIES 213
5 CONCLUSION 215
6 APPENDIX: FISHER INFORMATION MEASURE OF GRANGER CAUSALITY
FOR LINEAR AUTOREGRESSIVE GAUSSIAN PROCESSES 215
REFERENCES 216
AUTHOR INDEX 221
SUBJECT INDEX 223
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| spelling | Directed information measures in neuroscience Michael Wibral ... Eds. Heidelberg [u.a.] Springer 2014 XIII, 225 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Understanding complex systems Komplexes System (DE-588)4114261-5 gnd rswk-swf Nervennetz (DE-588)4041638-0 gnd rswk-swf Informationsverarbeitung (DE-588)4161678-9 gnd rswk-swf Neurowissenschaften (DE-588)7555119-6 gnd rswk-swf Neurowissenschaften (DE-588)7555119-6 s Nervennetz (DE-588)4041638-0 s Informationsverarbeitung (DE-588)4161678-9 s Komplexes System (DE-588)4114261-5 s DE-604 Wibral, Michael 1971- (DE-588)133152782 edt DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027305086&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Directed information measures in neuroscience Komplexes System (DE-588)4114261-5 gnd Nervennetz (DE-588)4041638-0 gnd Informationsverarbeitung (DE-588)4161678-9 gnd Neurowissenschaften (DE-588)7555119-6 gnd |
| subject_GND | (DE-588)4114261-5 (DE-588)4041638-0 (DE-588)4161678-9 (DE-588)7555119-6 |
| title | Directed information measures in neuroscience |
| title_auth | Directed information measures in neuroscience |
| title_exact_search | Directed information measures in neuroscience |
| title_full | Directed information measures in neuroscience Michael Wibral ... Eds. |
| title_fullStr | Directed information measures in neuroscience Michael Wibral ... Eds. |
| title_full_unstemmed | Directed information measures in neuroscience Michael Wibral ... Eds. |
| title_short | Directed information measures in neuroscience |
| title_sort | directed information measures in neuroscience |
| topic | Komplexes System (DE-588)4114261-5 gnd Nervennetz (DE-588)4041638-0 gnd Informationsverarbeitung (DE-588)4161678-9 gnd Neurowissenschaften (DE-588)7555119-6 gnd |
| topic_facet | Komplexes System Nervennetz Informationsverarbeitung Neurowissenschaften |
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