Numerical experiments are conducted tosupport our theoretical results.

By Eq. (103) and Condition 2, we have

This general condition covers the heavily-studied i.i.d.

A.4 ResultsonCIFAR-10andCIFAR-100 In this section, we report results on CIFAR with different sizes of ResNets: ResNet-20 (RN20), ResNet-32(RN32),ResNet-44(RN44),ResNet-56(RN56),ResNet-110(RN110). We report results on CIFAR-10 in Table 15, and results on CIFAR-100 in Table 16.

A finite-state machine (FSM) is a computation model to process binary strings in sequential circuits.

InBiauetal.(2008),theyemploy the randomized sketches method to project the data in Hilbert space so as to approximate kernel k-means. However, the data in Hilbert space are implicit and infinite-dimensional, and its sketch matrixisdenseandunstructured.