Research map / Learning theory and algorithms / Prediction and decision losses
Finite Sample Prediction and Recovery Bounds for Ordinal Embedding
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use rank-d projected gradient descent instead of gradient descent directly on the embedding | Ordinal embedding with logistic loss · Synthetic data | runtime: an order of magnitude faster | Helped |
| Debias the nuclear-norm PGD solution by refitting its top-d eigenvalues (ablation) | Nuclear Norm PGD · Synthetic data | embedding accuracy | Helped |
| Use rank-d PGD rather than nuclear-norm PGD without debiasing | Ordinal embedding with logistic loss · Synthetic data | embedding accuracy | Mixed |
| Optimize the embedding directly with gradient descent rather than optimize the Gram matrix with rank-d PGD | Ordinal embedding with logistic loss · Synthetic data | Gram matrix similarity | No clear effect |
Closest papers by meaning
- Scaling Up Ordinal Embedding: A Landmark Approach (ICML 2019 · similarity 0.93)
- Landmark Ordinal Embedding (NeurIPS 2019 · similarity 0.92)
- Embedding Dimension of Contrastive Learning and $k$-Nearest Neighbors (NeurIPS 2024 · similarity 0.86)
- Euclidean Embedding of Data Using Local Distances (NeurIPS 2026 · similarity 0.86)
- On the rankability of visual embeddings (NeurIPS 2025 · similarity 0.85)
- Optimization Can Learn Johnson Lindenstrauss Embeddings (NeurIPS 2024 · similarity 0.85)
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