Research map / Learning theory and algorithms / Sample complexity
Supervised learning through the lens of compression
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| move from standard sample compression to agnostic sample compression, for multiclass learning | sample compression schemes · multiclass categorization (theory, no experiments) | compression size | Helped |
| assume non-trivial compression exists, e.g. size m^0.99 | sample compression · multiclass categorization (theory) | compression size: m^0.99 -> roughly log m | Helped |
| assume uniform convergence property | multiclass classes · theory | compression size | Helped |
| move from zero/one loss to general loss functions | PAC versus agnostic PAC learnability · three-valued loss (theory) | equivalence of PAC and agnostic PAC | Hurt |
| use exact compression instead of approximate compression, for general losses | linear regression example · general loss (theory) | equivalence with learnability | Hurt |
Closest papers by meaning
- Representation Preserving Multiclass Agnostic to Realizable Reduction (ICML 2025 · similarity 0.89)
- Transductive Learning is Compact (NeurIPS 2024 · similarity 0.88)
- Does Compression Imply Generalization? A Minimum Description Length Perspective (NeurIPS 2026 · similarity 0.87)
- Agnostic Sample Compression Schemes for Regression (ICML 2024 · similarity 0.87)
- Surprises in Proper Positive-Only Learning (NeurIPS 2026 · similarity 0.85)
- Scale-Sensitive Shattering: Learnability and Evaluability at Optimal Scale (NeurIPS 2026 · similarity 0.85)
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