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Biased Incomplete Multi-View Learning
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Proposes RIML, a learning-free imputation framework for incomplete multi-view learning under class-dependent (biased) view-missing patterns, using OT-based inter-class association to calibrate view-specific Gaussians and a category-aware focal loss.
Problem
Incomplete multi-view learning where view-missing patterns depend on class (biased) rather than uniformly random, causing data-poor classes to have few samples and data-rich classes to have few views.
Approach
Use optimal transport between meta-classes and rare classes to learn a class-association matrix that calibrates view-specific Gaussian distributions, then impute missing views by sampling from these calibrated distributions; train with a focal loss plus a category-aware marginal term.
Key results
- On Handwritten with no missing views, RIML reaches 0.9650 accuracy versus 0.8705 for the best baseline CMP-Nets.
- On Animal with complete views, RIML achieves about 9.7% improvement over the second-best model.
- RIML remains robust at maximum missing rate 0.5, e.g., 0.9290 on Handwritten and 0.5954 on Scene15, outperforming all compared methods across datasets.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use RIML instead of CMP-Nets | Incomplete multi-view classification · HandWritten, η = 0.3 | accuracy: 0.8615 ± 0.01 -> 0.9430 ± 0.02 | Helped |
| Use RIML instead of DeepIMV | Incomplete multi-view classification · Scene15, η = 0.3 | accuracy: 0.4609 ± 0.02 -> 0.6425 ± 0.03 | Helped |
| Use RIML instead of CMP-Nets | Incomplete multi-view classification · Animal, η = 0.3 | accuracy: 0.6630 ± 0.03 -> 0.7670 ± 0.02 | Helped |
| Use RIML instead of CMP-Nets | Incomplete multi-view classification · YaleB, η = 0.3 | accuracy: 0.7172 ± 0.04 -> 0.8571 ± 0.01 | Helped |
| Use RIML instead of CMP-Nets | Incomplete multi-view classification · BRCA, η = 0.3 | accuracy: 0.7760 ± 0.04 -> 0.8440 ± 0.01 | Helped |
| Add inter-class association calibration to distribution-sampling imputation (ablation) | RIML · Five multi-view datasets, η = 0.3 | accuracy | Helped |
| Replace standard focal loss with category-aware focal loss (ablation) | RIML · Five multi-view datasets, η = 0.3 | accuracy | Helped |
Surprising findings
- Learning-free sampling-based imputation outperforms learned deep IMVL methods such as DeepIMV and CMP-Nets even with complete data, attributed largely to the enhanced focal loss.
Limitations
- Assumes rare classes have one sample per view when formulating the OT problem, and relies on a predefined threshold to define meta-classes.
- Test-time missing views are imputed via k-nearest neighbors rather than the learned distributions.
- Sensitivity to beta is analyzed only briefly; the sensitivity to class-association quality on datasets with less clear class associations (e.g., Scene15) reduces gains.
Experimental setup
Datasets: HandWritten Scene15 Animal YaleB BRCA
Benchmarks: HandWritten Scene15 Animal YaleB BRCA
Metrics: accuracy
Baselines: UIMC MIWAE CPSPAN DeepIMV CPM-Nets
Builds on: focal loss Sinkhorn algorithm few-shot distribution calibration
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- Learning Compact Semantic Information for Incomplete Multi-View Missing Multi-Label Classification (ICML 2025 · similarity 0.86)
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- Adaptive Feature Imputation with Latent Graph for Deep Incomplete Multi-View Clustering (AAAI 2024 · similarity 0.84)
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