Worse, for each G is dd, which indonesia mobile number whatsapp will result in greater memory usage and I/cost than large d. To solve these two problems, the researchers observed that: We don't actually need to concretize G, . . . , Gb, as long as we can compute Wb at the end of ii-bh and output kz, . . . , zb (as shown in Figure 7 above). Now, we can use the simplified -Lir case above to demonstrate these calculations, representing = [, . . . , b]: So Wb can be easily calculated using l.

To calculate Z = [z, . . . , zb], we know: The representation and matrix can be obtained: As above, the researchers call it the "dual form". 8. Theoretical equivalence As mentioned earlier, f can be a linear model or a neural network. There are also three variants of the update rule: li GD, bh GD, and ii-bh GD. As shown in the figure below, in these combinations, each will cause a different instantiation of the layer. In the study, the authors proved from theorems that in these induced instances, the layer with a linear model and bh GD is equivalent to linear attention - a well-known R layer.