Research map / Learning theory and algorithms / Kernels and regression theory
Nyström Kernel Mean Embeddings
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use a uniform-with-replacement Nyström landmark subset to form the embedding | Kernel mean embedding estimation · Synthetic Gaussian mixture | embedding approximation error: O(1/√n) | Helped |
| Choose the landmark count according to the logarithmic effective-dimension condition | Nyström kernel mean embedding · Exponential spectrum decay | embedding approximation error: m = √n log(√n); O(1/√n) | Helped |
| Use Nyström approximation instead of the empirical estimator | Kernel mean embedding estimation · Fasttext | embedding approximation error | Mixed |
| Use continuous OMP landmarks rather than the Nyström estimator | Kernel mean embedding estimation · Synthetic Gaussian data | embedding approximation error | Mixed |
| Use the Nyström estimator rather than greedy coherence-based or determinant-based heuristics | Kernel mean embedding estimation · Synthetic Gaussian data | embedding approximation error | No clear effect |
| Use a Nyström approximation for the embedding-based MMD estimate | Maximum mean discrepancy estimation · Synthetic and real datasets | MMD estimation error | Helped |
| Use a subsample size determined by polynomial effective-dimension growth | Nyström kernel mean embedding · Polynomial effective dimension | embedding approximation error: m = n1/(2−γ) log(n/δ); O(1/√n) | Helped |
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