Computational Neuroscience

  1. Models of Learning and Memory
    1. Unsupervised Learning
      1. Principal Component Analysis
        1. Dimensionality reduction
          1. Variance maximization
            1. Eigenvalue decomposition
            2. Neural implementations
              1. Hebbian PCA
                1. Oja's rule
                  1. Sanger's rule
                2. Independent Component Analysis
                  1. Source separation
                    1. Non-Gaussian sources
                      1. Neural implementations
                      2. Competitive Learning
                        1. Winner-take-all networks
                          1. Competition mechanisms
                            1. Lateral inhibition
                            2. Self-organizing maps
                              1. Topographic mapping
                                1. Neighborhood functions
                                  1. Learning schedules
                                2. Clustering Algorithms
                                  1. K-means clustering
                                    1. Hierarchical clustering
                                      1. Neural clustering
                                    2. Supervised Learning
                                      1. Perceptron Learning Rule
                                        1. Linear separability
                                          1. Decision boundaries
                                            1. Linearly separable problems
                                            2. Convergence properties
                                              1. Perceptron convergence theorem
                                                1. Learning rate effects
                                                2. Multi-layer perceptrons
                                                  1. XOR problem
                                                    1. Hidden layers
                                                  2. Error Backpropagation
                                                    1. Gradient descent
                                                      1. Error surfaces
                                                        1. Local minima
                                                        2. Chain rule application
                                                          1. Weight update rules
                                                            1. Deep learning connections
                                                            2. Support Vector Machines
                                                              1. Margin maximization
                                                                1. Kernel methods
                                                                  1. Neural interpretations
                                                                2. Reinforcement Learning
                                                                  1. The Role of Dopamine
                                                                    1. Reward prediction error
                                                                      1. Temporal difference error
                                                                        1. Dopamine neuron responses
                                                                        2. Value learning
                                                                          1. Policy learning
                                                                          2. Temporal Difference Learning
                                                                            1. Value functions
                                                                              1. State values
                                                                                1. Action values
                                                                                2. Learning algorithms
                                                                                  1. TD(0) algorithm
                                                                                    1. TD(λ) algorithm
                                                                                      1. Q-learning
                                                                                      2. Neural implementations
                                                                                        1. Critic networks
                                                                                          1. Value representation
                                                                                        2. Actor-Critic Models
                                                                                          1. Policy and value separation
                                                                                            1. Actor networks
                                                                                              1. Critic networks
                                                                                              2. Policy gradient methods
                                                                                                1. Natural actor-critic
                                                                                                2. Model-Based vs Model-Free
                                                                                                  1. Forward models
                                                                                                    1. Dyna-Q algorithm
                                                                                                      1. Planning and learning
                                                                                                    2. Modeling Memory Systems
                                                                                                      1. Hippocampus and Episodic Memory
                                                                                                        1. Pattern separation
                                                                                                          1. Dentate gyrus function
                                                                                                            1. Sparse coding
                                                                                                            2. Pattern completion
                                                                                                              1. CA3 recurrent networks
                                                                                                                1. Attractor dynamics
                                                                                                                2. Temporal sequence learning
                                                                                                                  1. CA1 place cells
                                                                                                                    1. Theta sequences
                                                                                                                  2. Basal Ganglia and Procedural Memory
                                                                                                                    1. Habit learning
                                                                                                                      1. Striatal plasticity
                                                                                                                        1. Dopamine modulation
                                                                                                                        2. Action selection
                                                                                                                          1. Winner-take-all dynamics
                                                                                                                            1. Reinforcement learning
                                                                                                                          2. Cortex and Semantic Memory
                                                                                                                            1. Distributed representations
                                                                                                                              1. Semantic networks
                                                                                                                                1. Conceptual knowledge
                                                                                                                                2. Consolidation processes
                                                                                                                                  1. Systems consolidation
                                                                                                                                    1. Memory transfer
                                                                                                                                  2. Working Memory Models
                                                                                                                                    1. Prefrontal cortex models
                                                                                                                                      1. Persistent activity
                                                                                                                                        1. Attractor networks
                                                                                                                                        2. Capacity limitations
                                                                                                                                          1. Interference effects
                                                                                                                                            1. Decay mechanisms