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Object-Centric Learning with Slot Mixture Module
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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
- On CLEVR set property prediction, SMM reaches AP_0.25 98.4 ± 0.7 and AP_0.125 92.1 ± 1.2, beating iDSPN (95.8 and 76.9) at stringent thresholds.
- On ClevrTex object discovery, SMM achieves FG-ARI 74.7 ± 1.3 versus 62.40 ± 2.33 for Slot Attention.
- Replacing SA with SMM in SLATE lowers cross-entropy on all reported datasets (e.g., CLEVR-Mirror 0.82 to 0.20; ShapeStacks 88.3 to 62).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace Slot Attention with Slot Mixture Module | SLATE · CLEVR-Mirror test | Cross-Entropy: 0.82 $\pm$ 0.05 -> 0.20 $\pm$ 0.02 | Helped |
| Replace Slot Attention with Slot Mixture Module | SLATE · ShapeStacks test | FID: 56.6 $\pm$ 2.8 -> 50.4 $\pm$ 1.84 | Helped |
| Replace Slot Attention with Slot Mixture Module | SLATE · ClevrTex test | Cross-Entropy: 566 $\pm$ 18.1 -> 507 $\pm$ 21.7 | Helped |
| Replace Slot Attention with Slot Mixture Module | SLATE · COCO test | Cross-Entropy: 540 $\pm$ 17.5 -> 461 $\pm$ 12.1 | Helped |
| Replace Slot Attention with Slot Mixture Module | SLATE · CelebA test | FID: 39.2 $\pm$ 1.5 -> 41.3 $\pm$ 1.6 | Hurt |
| Replace Slot Attention with Slot Mixture Module | SLATE · Bitmoji test | FID: 30.8 $\pm$ 0.52 -> 27.0 $\pm$ 0.57 | Helped |
| Use Slot Mixture Module instead of Slot Attention | Set property prediction model · CLEVR | AP$_{0.25}$: 95.8 $\pm$ 0.7 -> 98.4 $\pm$ 0.7 | Helped |
| Use Slot Mixture Module instead of Slot Attention | Object discovery model · ClevrTex | FG-ARI: 62.40 $\pm$ 2.33 -> 74.7 $\pm$ 1.3 | Helped |
| Use GMM clustering instead of k-means | Vanilla clustering set prediction model · CLEVR set property prediction, 100k iterations | AP$_{0.5}$: 7.2 $\pm$ 1.7 -> 9.2 $\pm$ 1.6 | Helped |
| Use 3 update iterations instead of 7 at test time (ablation) | SMM object discovery model · CLEVR6 test | FG-ARI: 97.1 -> 99.8 | Helped |
| Use 2 update iterations instead of 3 at test time (ablation) | SMM object discovery model · CLEVR6 test | FG-ARI: 99.8 -> 78.9 | Hurt |
| Use 1 update iteration instead of 3 at test time (ablation) | SMM object discovery model · CLEVR6 test | FG-ARI: 99.8 -> 67.0 | Hurt |
Surprising findings
- Slot Attention with detached last-iteration slots and rescaled coordinates still trails iDSPN, indicating the baseline's gap is partly due to training details.
- SMM is less robust than SA to changing the number of update iterations at test time (CLEVR6 FG-ARI drops to 97.1 at 7 iterations vs 99.5 for SA at 7 iterations).
Limitations
- Requires specifying the number of slots in advance, with over/under-segmentation and poor quality for large slot counts.
- Real-world image reconstruction and attention maps remain poor, not aligned with human segmentation on COCO.
- Less robust than Slot Attention to different numbers of update iterations at test time.
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
Closest papers by meaning
- Adaptive Slot Attention: Object Discovery with Dynamic Slot Number (CVPR 2024 · similarity 0.89)
- Identifiable Object-Centric Representation Learning via Probabilistic Slot Attention (NeurIPS 2024 · similarity 0.88)
- Grounded Object-Centric Learning (ICLR 2024 · similarity 0.88)
- MetaSlot: Break Through the Fixed Number of Slots in Object-Centric Learning (NeurIPS 2025 · similarity 0.86)
- GLASS: Guided Latent Slot Diffusion for Object-Centric Learning (CVPR 2025 · similarity 0.86)
- Slot State Space Models (NeurIPS 2024 · similarity 0.84)
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