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Diagonal State Spaces are as Effective as Structured State Spaces

NeurIPS 2022 · Architectures and efficiency › Attention and transformers · approach: State space and recurrent sequence models · 64 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a diagonal state-space parameterization instead of S4's diagonal-plus-low-rank parameterizationState-space sequence models · LRA averageaccuracy: 80.21 vs 81.88Helped
Use a diagonal state-space parameterization instead of S4Raw Speech Commands classification · Speech Commands Rawaccuracy: 98.1 vs 98.2No clear effect
Replace Skew-Hippo initialization with random initialization of Lambda (ablation)DSS-softmax · LRA and Speech Commandsaccuracy: 60.6 -> 57.6; 84.8 -> 80.54; 85.7 -> 72.13; 84.6 -> 77.5; 97.7 -> 96.8Hurt
Limit the kernel length to 128 (ablation)DSS-softmax · LRA and Speech Commandsaccuracy: 60.6 -> 51.6; 84.8 -> 75.41; 85.7 -> 83.8; 84.6 -> 65.1; 97.7 -> 96.7Mixed
Omit the scale term Lambda^-1 (e^(Lambda Delta) - I) from the DSS-exp kernel (ablation)DSS-exp · LRAaccuracy: 81.18 -> 65.03 averageHurt

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