Zhe Chen, Simon Haykin, Jos J. Eggermont, Suzanna Becker

Correlative Learning (eBook, PDF)

A Basis for Brain and Adaptive Systems

• Format: PDF

Produktbeschreibung

Correlative Learning: A Basis for Brain and Adaptive Systems provides a bridge between three disciplines: computational neuroscience, neural networks, and signal processing. First, the authors lay down the preliminary neuroscience background for engineers. The book also presents an overview of the role of correlation in the human brain as well as in the adaptive signal processing world; unifies many well-established synaptic adaptations (learning) rules within the correlation-based learning framework, focusing on a particular correlative learning paradigm, ALOPEX; and presents case studies that illustrate how to use different computational tools and ALOPEX to help readers understand certain brain functions or fit specific engineering applications.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 480
• Erscheinungstermin: 28. Juni 2008
• Englisch
• ISBN-13: 9780470171448
• Artikelnr.: 37290727

Autorenporträt

Zhe Chen, PhD, is currently a Research Fellow in the Neuroscience Statistics Research Laboratory at Harvard Medical School. Simon Haykin, PhD, DSc, is a Distinguished University Professor in the Department of Electrical and Computer Engineering at McMaster University, Ontario, Canada. Jos J. Eggermont, PhD, is a Professor in the Departments of Physiology & Biophysics and Psychology at the University of Calgary, Alberta, Canada. Suzanna Becker, PhD, is a Professor in the Department of Psychology, Neuroscience, and Behavior at McMaster University, Ontario, Canada.

Inhaltsangabe

Foreword. Preface. Acknowledgments. Acronyms. Introduction. 1. The
Correlative Brain. 1.1 Background. 1.2 Correlation Detection in Single
Neurons. 1.3 Correlation in Ensembles of Neurons: Synchrony and Population
Coding. 1.4 Correlation is the Basis of Novelty Detection and Learning. 1.5
Correlation in Sensory Systems: Coding, Perception, and Development. 1.6
Correlation in Memory Systems. 1.7 Correlation in Sensory-Motor Learning.
1.8 Correlation, Feature Binding, and Attention. 1.9 Correlation and
Cortical Map Changes after Peripheral Lesions and Brain Stimulation. 1.10
Discussion. 2. Correlation in Signal Processing. 2.1 Correlation and
Spectrum Analysis. 2.2 Wiener Filter. 2.3 Least-Mean-Square Filter. 2.4
Recursive Least-Squares Filter. 2.5 Matched Filter. 2.6 Higher Order
Correlation-Based Filtering. 2.7 Correlation Detector. 2.8 Correlation
Method for Time-Delay Estimation. 2.9 Correlation-Based Statistical
Analysis. 2.10 Discussion. Appendix: Eigenanalysis of Autocorrelation
Function of Nonstationary Process. Appendix: Estimation of the Intensity
and Correlation Functions of Stationary Random Point Process. Appendix:
Derivation of Learning Rules with Quasi-Newton Method. 3. Correlation-Based
Neural Learning and Machine Learning. 3.1 Correlation as a Mathematical
Basis for Learning. 3.2 Information-Theoretic Learning. 3.3
Correlation-Based Computational Neural Models. Appendix: Mathematical
Analysis of Hebbian Learning. Appendix: Necessity and Convergence of
Anti-Hebbian Learning. Appendix: Link Between the Hebbian Rule and Gradient
Descent. Appendix: Reconstruction Error in Linear and Quadratic PCA. 4.
Correlation-Based Kernel Learning. 4.1 Background. 4.2 Kernel PCA and
Kernelized GHA. 4.3 Kernel CCA and Kernel ICA. 4.4 Kernel Principal Angles.
4.5 Kernel Discriminant Analysis. 4.6 KernelWiener Filter. 4.7 Kernel-Based
Correlation Analysis: Generalized Correlation Function and Correntropy. 4.8
Kernel Matched Filter. 4.9 Discussion. 5. Correlative Learning in a
Complex-Valued Domain. 5.1 Preliminaries. 5.2 Complex-Valued Extensions of
Correlation-Based Learning. 5.3 Kernel Methods for Complex-Valued Data. 5.4
Discussion. 6. ALOPEX: A Correlation-Based Learning Paradigm. 6.1
Background. 6.2 The Basic ALOPEX Rule. 6.3 Variants of the ALOPEX
Algorithm. 6.4 Discussion. 6.5 Monte Carlo Sampling-Based ALOPEX
Algorithms. Appendix: Asymptotical Analysis of the ALOPEX Process.
Appendix: Asymptotic Convergence Analysis of the 2t-ALOPEX Algorithm. 7.
Case Studies. 7.1 Hebbian Competition as the Basis for Cortical Map
Reorganization? 7.2 Learning Neurocompensator: A Model-Based Hearing
Compensation Strategy. 7.3 Online Training of Artificial Neural Networks.
7.4 Kalman Filtering in Computational Neural Modeling. 8. Discussion. 8.1
Summary: Why Correlation? 8.2 Epilogue: What Next? Appendix A:
Autocorrelation and Cross-correlation Functions. Appendix B: Stochastic
Approximation. Appendix C: A Primer on Linear Algebra. Appendix D:
Probability Density and Entropy Estimators. Appendix E: EM Algorithm. Topic
Index.