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Research map / Learning theory and algorithms / Matrix and tensor methods

A Statistical Recurrent Model on the Manifold of Symmetric Positive Definite Matrices

NeurIPS 2018 · Learning theory and algorithms › Matrix and tensor methods · approach: Geometry of low-rank and SPD structure · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use SPD-SRU instead of TT-GRUMoving-pattern classification · Moving MNIST, orientation 10-1510-fold testing accuracy: 0.52 ± 0.04 -> 0.96 ± 0.02Helped
Use SPD-SRU instead of TT-GRUMoving-pattern classification · Moving MNIST, orientation 10-15-2010-fold testing accuracy: 0.47 ± 0.03 -> 0.94 ± 0.02Helped
Use SPD-SRU instead of SRUMoving-pattern classification · Moving MNIST, orientation 10-1510-fold testing accuracy: 0.75 ± 0.19 -> 0.96 ± 0.02Helped
Use SPD-SRU instead of TT-GRUAction classification · UCF11testing accuracy: 0.78 -> 0.78No clear effect
Use SPD-SRU instead of TT-GRUAction classification · UCF11number of parameters: 6048 -> 3337Helped
Use three-layer SPD-SRU models instead of tract Fréchet means with Cramer's testPD versus control tract testing · LM1 tractpermutation p-value: 0.17 -> 0.01Mixed
Use three-layer SPD-SRU models instead of tract Fréchet means with Cramer's testPD versus control tract testing · RM1 tractpermutation p-value: 0.34 -> 0.032Mixed

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