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Size-invariance Matters: Rethinking Metrics and Losses for Imbalanced Multi-object Salient Object Detection
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Proposes size-invariant SOD metrics (SI-MAE, SI-F, SI-AUC) that evaluate each salient object separately and a size-invariant loss wrapper (SI-SOD) applied to five SOD backbones, with a generalization bound.
Problem
Standard SOD metrics (MAE, F-score, AUC) are size-sensitive when multiple salient objects of diverse sizes co-exist, so small objects are overlooked in evaluation and training.
Approach
Rewrite separable and composite metrics as size-weighted sums over parts and replace the size-dependent weight with a constant, so each connected salient object (plus a background frame) counts equally; use the same size-invariant decomposition as a training loss, and derive a Rademacher-based generalization bound.
Key results
- On MSOD, adding the size-invariant loss improves EDN's SI-MAE from 0.0788 to 0.0724 and SI-F max from 0.8321 to 0.8619.
- On MSOD, averaged over backbones, the method outperforms baselines by about 0.012 on SI-MAE, 0.038 on SI-AUC, 0.070 on SI-F mean, 0.065 on SI-F max and 0.038 on E-measure.
- On DUTS-TE the method achieves similar MAE for single-object-dominant data, with small average gains (about 0.001 SI-MAE, 0.024 SI-F mean).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| apply size-invariant loss | GateNet · MSOD | SI-MAE: 0.0808 -> 0.0734 | Helped |
| apply size-invariant loss | GateNet · MSOD | SI mean F-measure: 0.7581 -> 0.8083 | Helped |
| apply size-invariant loss | GateNet · MSOD | MAE: 0.0442 -> 0.0444 | Hurt |
| apply size-invariant loss | GateNet · DUTS-TE | SI-MAE: 0.0380 -> 0.0375 | Helped |
| apply size-invariant loss | GateNet · DUTS-TE | SI mean F-measure: 0.8519 -> 0.8687 | Helped |
| apply size-invariant loss | GateNet · DUTS-TE | mean F-measure: 0.8292 -> 0.8185 | Hurt |
| use α=0, excluding the background frame from the loss (ablation) | SI-SOD with EDN · MSOD and DUTS | foreground-frame score | Mixed |
| use α=1, weighting the background frame equally with each foreground frame (ablation) | SI-SOD with EDN · MSOD and DUTS | false-positive performance | Mixed |
Surprising findings
- Original MAE can be equal for two predictions where the one that misses an entire small object is not penalized more, motivating size-invariant evaluation.
- The proposed loss also improves the original MAE on the multi-object MSOD dataset for all backbones.
Limitations
- Instance partition relies on connected components of the ground-truth mask as a proxy for objects, since no instance labels exist.
- Gains on single-object DUTS-TE are small and the method is competitive rather than clearly superior on original MAE and F-score.
Experimental setup
Datasets: DUTS-TR DUTS ECSSD DUT-OMRON HKU-IS MSOD PASCAL-S SOD XPIE
Benchmarks: MSOD DUTS-TE ECSSD DUT-OMRON HKU-IS PASCAL-S SOD XPIE
Metrics: MAE SI-MAE AUC SI-AUC F-measure (mean) SI-F (mean) F-measure (max) SI-F (max) E-measure
Baselines: PoolNet LDF ICON GateNet EDN
Builds on: DiceLoss IOU loss BCE loss vector contraction inequality
Closest papers by meaning
- Revisiting Salient Object Detection: Simultaneous Detection, Ranking, and Subitizing of Multiple Salient Objects (CVPR 2018 · similarity 0.88)
- A Causal Debiasing Framework for Unsupervised Salient Object Detection (AAAI 2022 · similarity 0.88)
- Modeling the Distributional Uncertainty for Salient Object Detection Models (CVPR 2023 · similarity 0.87)
- Alignment-Free RGB-T Salient Object Detection: A Large-Scale Dataset and Progressive Correlation Network (AAAI 2025 · similarity 0.85)
- ContextShift: A Controlled Benchmark for Context Dependence in Object Detection (NeurIPS 2026 · similarity 0.85)
- DiMSOD: A Diffusion-Based Framework for Multi-Modal Salient Object Detection (AAAI 2025 · similarity 0.85)
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