| |
| |
| Series Foreword | |
| |
| |
| Preface | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| A Probability Primer | |
| |
| |
| |
| |
| What Is Probability? | |
| |
| |
| |
| Bayes Theorem | |
| |
| |
| |
| Measuring Information | |
| |
| |
| |
| Making an Inference | |
| |
| |
| |
| Learning from Data | |
| |
| |
| |
| Graphical Models and Other Bayesian Algorithms | |
| |
| |
| |
| Reading Neural Codes | |
| |
| |
| |
| Spike Coding | |
| |
| |
| |
| |
| Spikes: What Kind of Code? | |
| |
| |
| |
| Encoding and Decoding | |
| |
| |
| |
| Adaptive Spike Coding | |
| |
| |
| |
| Summary | |
| |
| |
| |
| Recommended Reading | |
| |
| |
| |
| Likelihood-Based Approaches to Modeling the Neural Code | |
| |
| |
| |
| |
| The Neural Coding Problem | |
| |
| |
| |
| Model Fitting with Maximum Likelihood | |
| |
| |
| |
| Model Validation | |
| |
| |
| |
| Summary | |
| |
| |
| |
| Combining Order Statistics with Bayes Theorem for Millisecond-by-Millisecond Decoding of Spike Trains | |
| |
| |
| |
| |
| Introduction | |
| |
| |
| |
| An Approach to Decoding | |
| |
| |
| |
| Simplifying the Order Statistic Model | |
| |
| |
| |
| Discussion | |
| |
| |
| |
| Bayesian Treatments of Neuroimaging Data | |
| |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Attention to Visual Motion | |
| |
| |
| |
| The General Linear Model | |
| |
| |
| |
| Parameter Estimation | |
| |
| |
| |
| Posterior Probability Mapping | |
| |
| |
| |
| Dynamic Causal Modeling | |
| |
| |
| |
| Discussion | |
| |
| |
| |
| Making Sense of the World | |
| |
| |
| |
| Population Codes | |
| |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Coding and Decoding | |
| |
| |
| |
| Representing Uncertainty with Population Codes | |
| |
| |
| |
| Conclusion | |
| |
| |
| |
| Computing with Population Codes | |
| |
| |
| |
| |
| Computing, Invariance, and Throwing Away Information | |
| |
| |
| |
| Computing Functions with Networks of Neurons: A General Algorithm | |
| |
| |
| |
| Efficient Computing; Qualitative Analysis | |
| |
| |
| |
| Efficient Computing; Quantitative Analysis | |
| |
| |
| |
| Summary | |
| |
| |
| |
| Efficient Coding of Visual Scenes by Grouping and Segmentation | |
| |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Computational Theories for Sc�ne Segmentation | |
| |
| |
| |
| A Computational Algorithm for the Weak-Membrane Model | |
| |
| |
| |
| Generalizations of the Weak-Membrane Model | |
| |
| |
| |
| Biological Evidence | |
| |
| |
| |
| Summary and Discussion | |
| |
| |
| |
| Bayesian Models of Sensory Cue Integration | |
| |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Psychophysical Tests of Bayesian Cue Integration | |
| |
| |
| |
| Psychophysical Tests of Bayesian Priors | |
| |
| |
| |
| Mixture models. Priors, and Cue Integration | |
| |
| |
| |
| Conclusion | |
| |
| |
| |
| Making Decisions and Movements | |
| |
| |
| |
| The Speed and Accuracy of a Simple Perceptual Decision: A Mathematical Primer | |
| |
| |
| |
| |
| Introduction | |
| |
| |
| |
| The Diffusion-to-Bound Framework | |
| |
| |
| |
| Derivation of Choice and Reaction Time Functions | |
| |
| |
| |
| Implementation of Diffusion-to-Bound Framework in the Brain | |
| |
| |
| |
| Conclusions | |
| |
| |
| |
| Neural Models of Bayesian Belief Propagation | |
| |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Bayesian Inference through Belief Propagation | |
| |
| |
| |
| Neural Implementations of Belief Propagation | |
| |
| |
| |
| Results | |
| |
| |
| |
| Discussion | |
| |
| |
| |
| Optimal Control Theory | |
| |
| |
| |
| |
| Discrete Control: Bellman Equations | |
| |
| |
| |
| Continuous Control: Hamilton-Jacobi-Bellman Equations | |
| |
| |
| |
| Deterministic Control: Pontryagin's Maximum Principle | |
| |
| |
| |
| Linear-Quadratic-Gaussian Control: Riccati Equations | |
| |
| |
| |
| Optimal Estimation: Kalman Filter | |
| |
| |
| |
| Duality of Optimal Control and Optimal Estimation | |
| |
| |
| |
| Optimal Control as a Theory of Biological Movement | |
| |
| |
| |
| Bayesian Statistics and Utility Functions in Sensorimotor Control | |
| |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Motor Decisions | |
| |
| |
| |
| Utility: The Cost of Using our Muscles | |
| |
| |
| |
| Neurobiology | |
| |
| |
| |
| Discussion | |
| |
| |
| Contributors | |
| |
| |
| Index | |