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Object-Centric Learning with Slot Mixture Module

ICLR 2024 · Detection and segmentation › Open-set and few-shot detection · approach: Slot attention methods · 0 citations (OpenAlex)

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Replaces Slot Attention's k-means-like soft clustering with a learnable Gaussian Mixture Model (Slot Mixture Module) whose slots concatenate cluster means and variances, improving set property prediction on CLEVR and object discovery on ClevrTex.

Problem

Slot Attention acts as a soft k-means and represents each slot only by a cluster center, limiting expressiveness; it also struggles on complex synthetic and real images and is unstable to train.

Approach

A learnable GMM-based slot module (Slot Mixture Module) runs EM-style E and M steps with neural updates, and represents each slot as the concatenation of the cluster mean and diagonal covariance, plus mixture weights to identify empty slots.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace Slot Attention with Slot Mixture ModuleSLATE · CLEVR-Mirror testCross-Entropy: 0.82 $\pm$ 0.05 -> 0.20 $\pm$ 0.02Helped
Replace Slot Attention with Slot Mixture ModuleSLATE · ShapeStacks testFID: 56.6 $\pm$ 2.8 -> 50.4 $\pm$ 1.84Helped
Replace Slot Attention with Slot Mixture ModuleSLATE · ClevrTex testCross-Entropy: 566 $\pm$ 18.1 -> 507 $\pm$ 21.7Helped
Replace Slot Attention with Slot Mixture ModuleSLATE · COCO testCross-Entropy: 540 $\pm$ 17.5 -> 461 $\pm$ 12.1Helped
Replace Slot Attention with Slot Mixture ModuleSLATE · CelebA testFID: 39.2 $\pm$ 1.5 -> 41.3 $\pm$ 1.6Hurt
Replace Slot Attention with Slot Mixture ModuleSLATE · Bitmoji testFID: 30.8 $\pm$ 0.52 -> 27.0 $\pm$ 0.57Helped
Use Slot Mixture Module instead of Slot AttentionSet property prediction model · CLEVRAP$_{0.25}$: 95.8 $\pm$ 0.7 -> 98.4 $\pm$ 0.7Helped
Use Slot Mixture Module instead of Slot AttentionObject discovery model · ClevrTexFG-ARI: 62.40 $\pm$ 2.33 -> 74.7 $\pm$ 1.3Helped
Use GMM clustering instead of k-meansVanilla clustering set prediction model · CLEVR set property prediction, 100k iterationsAP$_{0.5}$: 7.2 $\pm$ 1.7 -> 9.2 $\pm$ 1.6Helped
Use 3 update iterations instead of 7 at test time (ablation)SMM object discovery model · CLEVR6 testFG-ARI: 97.1 -> 99.8Helped
Use 2 update iterations instead of 3 at test time (ablation)SMM object discovery model · CLEVR6 testFG-ARI: 99.8 -> 78.9Hurt
Use 1 update iteration instead of 3 at test time (ablation)SMM object discovery model · CLEVR6 testFG-ARI: 99.8 -> 67.0Hurt

Surprising findings

Limitations

Experimental setup

Datasets: CLEVR CLEVR-Mirror ShapeStacks ClevrTex COCO-2017 CelebA Bitmoji CLEVR10 Multi-dSprites Tetrominoes CLEVR6

Benchmarks: CLEVR ClevrTex CLEVR-Mirror ShapeStacks COCO-2017 CelebA Bitmoji CLEVR10 Multi-dSprites Tetrominoes

Metrics: Average Precision (AP) at distance thresholds FID cross-entropy FG-ARI

Baselines: Slot Attention iDSPN SA-MESH K-means clustering SLATE(SA)

Builds on: Slot Attention SLATE iDSPN Spatial Broadcast decoder Expectation Maximization

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