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Combining Recurrent, Convolutional, and Continuous-time Models with Linear State Space Layers

NeurIPS 2021 · Time series › Causal and generative time series · approach: Neural differential equations · 83 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use structured HiPPO state matrix A instead of random A (ablation)LSSL · Permuted MNISTaccuracy: 62\% with random AHelped
train the HiPPO-structured A (LSSL vs LSSL-f) (ablation)LSSL · Speech Commands raw (length 16000)accuracy: 90.64 -> 95.87Helped
well-specified (learnable) timescale Delta t instead of a poorly specified one (ablation)LSSL-f · sequential CIFARaccuracy: 49.3\% with poorly specified Delta tHelped
change test-time Delta t to adapt to halved sampling rate (LSSL vs CKConv)LSSL · Speech Commands raw, sampling rate 1 -> 1/2accuracy: 88.66 vs 65.96 (CKConv)Helped
train on raw length-16000 signal instead of MFCC featuresLSSL · Speech Commandsaccuracy: 93.58 -> 95.87Helped
LSSL-f versus specialized ResNet-18 trained directly on imagesLSSL-f · Sequential CelebAaccuracy: 78.89 vs 81.35 (Attractive)Hurt
LSSL-f vs CKConv/UnICORNN on convergence speedLSSL-fixed · Permuted MNISTepochs to 98% accuracy: 16 ep. vs 118 ep. (CKConv)Helped

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