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Equation 6 · Part 1 · A History of Small and On-Device AI

Symbol D_K

DK⋅DK⋅M⋅DF⋅DF+M⋅N⋅DF⋅DFDK⋅DK⋅M⋅N⋅DF⋅DF=1N+1DK2\frac{D_K \cdot D_K \cdot M \cdot D_F \cdot D_F + M \cdot N \cdot D_F \cdot D_F}{D_K \cdot D_K \cdot M \cdot N \cdot D_F \cdot D_F} = \frac{1}{N} + \frac{1}{D_K^2}
DKD_K

What this part means

DKD_K is part of the quantity the equation computes from the expression on the right.

Its job in the formula

DKD_K is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…a single step; MobileNet’s depthwise separable convolution splits that into a depthwise layer that filters each input channel on its own, followed by a 1×1 pointwise convolution that recombines the results [ 1 ] . For a DKD_K ×\times DKD_K kernel, M input channels, N output channels and a DFD_F ×\times DFD_F feature map, a standard convolution costs DKD_K ⋅\cdot DKD_K ⋅\cdot M ⋅\cdot N ⋅\cdot DFD_F ⋅\cdot DFD_F multiply-adds. The paper gives the depthwise separable replacement’s cost, and its ratio to the standard cost, directly:…

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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