Adaptive Locally Connected Neuron
The Adaptive Locally Connected Neuron (ALCN) is a topology aware, and locally adaptive -focusing neuron:
a=f (∑i=1mwiϕ(τ(i),Θ)xi+b)a = f\:\Bigg( \sum_{i=1}^{m} w_{i}\phi\left( \tau\left(i\right),\Theta\right) x_{i} + b \Bigg) %f\:\Bigg(\mathbf{X(W \circ \Phi) + b} \Bigg) a=f(∑i=1mwiϕ(τ(i),Θ)xi+b)