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Article: Hebbian Wiring Plasticity Generates Efficient Network Structures for Robust Inference with Synaptic Weight Plasticity.

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Hiratani N; Fukai T
Front Neural Circuits, 2016


Definitions of main variables and parameters.

Name Description Definition
st Hidden external state at time t Section Details of Simulation
rX,jt Firing rate of input neuron j at time t Equation (5)
rY,it Firing rate of output neuron i at time t Equation (1)
wij Synaptic weight from input neuron i to output neuron j Constant (Figures 13)Equation (2) (Figures 48)
cij Number of connection from input neuron i to output neuron j (Note that here cij = 0 or 1) Section Synaptic Connection Learning
ρij Connection probability from input neuron i to output neuron j Constant (Figures 14)Equation (3) (Figures 5, 6)Equation (4) (Figures 6I, 7, 8)
The dual Hebbian rule Equation (2) + Equation (3)
The approximated dual Hebbian rule Equation (2) + Equation (4)
θ Response parameter of neuron j to hidden state μ Section Gaussian Model, Poisson Model
q Normalized response parameter of neuron j to hidden state μ. Especially in the Gaussian model, q = θ/σX2 q = h(θ)
Ωμ Set of output neurons that selective for hidden state μ Section Accuracy of Estimation
hw Input threshold Section Details of Simulation
σX Noise in input neuron firing rate σX = 1.0
γ Parameter for sparseness of connectivity Sections Weight Coding and Connectivity Coding and Dual Coding and Cut-Off Coding
bh Strength of homeostatic plasticity Equation (2)
τc Timescale of rewiring Section Synaptic Connection Learning
κm Ratio between constant and variable component in θ θ = 1Z[κmθjμconst+(1-κm)θjμvar]
θconst, θvar Two component of input structures used in Figure 6 Section Gaussian Model
T2 Interval between update of the variable component θvar T2 = 105
θctrl,θtraining Two input structures used for modeling control and training phases in Figure 8 Section Gaussian Model

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Inferred neuron-electrophysiology data values

Neuron Type Neuron Description Ephys Prop Extracted Value Standardized Value Content Source