几何深度学习(3):群卷积神经网络
# 卷积神经网络 (CNN) 下面证明卷积的平移等变性: x′[u]=x[u−t]x'[u] = x[u-t]x′[u]=x[u−t], y[v]=∑u=−∞+∞x[u]ϕ[v−u]y[v] = \sum_{u=-\infty}^{+\infty}x[u]\phi[v-u]y[v]=∑u=−∞+∞x[u]ϕ[v−u], 则 y′[v]=∑u=−∞+∞x′[u]ϕ[u−v]=∑u=−∞+∞x[u−t]ϕ[u−v]=y[v−t].y'[v] = \sum_{u=-\infty}^{+\infty}x'[u]\phi[u-v] =...
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