“…However neural networks with multiple layers naturally model a hierarchical interaction of features, with as many degrees of interaction as number of layers in the network: [6], [20], [5], [4], [26], [23], [29], [22], [8], [21]. The same can be said for the layers of scattering networks: [17], [33], [13], [31], [27]. This distinguishes these two classes of approaches from purely wavelet [34], [12], [15], [16] or time-frequency methods [11], [9], [3], [10], and yields more sophisticated features that yield better classification results, as we show in Section IV.…”