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Interaction Networks for Learning about Objects, Relations and Physics

NeurIPS 2016 · Probabilistic and scientific modeling › Dynamical systems · approach: Latent dynamics models · 557 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add relation-centric function phi_R (full IN vs dynamics-only IN) (ablation)Interaction network · n-body predictionMSE: 76 -> 0.25Helped
add phi_R (full IN vs dynamics-only IN) (ablation)Interaction network · Balls predictionMSE: 0.074 -> 0.0020Helped
add phi_R (full IN vs dynamics-only IN) (ablation)Interaction network · String predictionMSE: 0.017 -> 0.0011Helped
use IN instead of flattened-input MLP baselinenext-step velocity prediction · n-body predictionMSE: 79 -> 0.25Helped
use IN instead of flattened-input MLP baselinenext-step velocity prediction · String predictionMSE: 0.016 -> 0.0011Helped
use IN instead of constant velocity baselinenext-step velocity prediction · Balls predictionMSE: 0.074 -> 0.0020Helped
use IN instead of MLP for potential energy estimationabstract estimation · String potential energyMSE: 425 -> 1.1Helped
use IN instead of MLP for potential energy estimationabstract estimation · n-body potential energyMSE: 19 -> 1.4Helped
test IN trained on 6 bodies on 3 bodies, versus training on the 3-body system (ablation)Interaction network · n-body 3 generalizationMSE: 0.21 -> 0.052Helped
test IN trained on 6 bodies on 12 bodies, versus training on 12 bodies (ablation)Interaction network · n-body 12 generalizationMSE: 5.2 -> 7.8Hurt
transfer to 5-mass string versus training on it (ablation)Interaction network · String 5, 1 generalizationMSE: 0.0030 -> 0.00052Helped
transfer to other ball counts versus training on them (ablation)Interaction network · Balls 9 generalizationMSE: 0.0019 -> 0.004Hurt

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