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Research map / Learning theory and algorithms / Kernels and regression theory

Nyström Kernel Mean Embeddings

ICML 2022 · Learning theory and algorithms › Kernels and regression theory · approach: RKHS kernel methods · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a uniform-with-replacement Nyström landmark subset to form the embeddingKernel mean embedding estimation · Synthetic Gaussian mixtureembedding approximation error: O(1/√n)Helped
Choose the landmark count according to the logarithmic effective-dimension conditionNyström kernel mean embedding · Exponential spectrum decayembedding approximation error: m = √n log(√n); O(1/√n)Helped
Use Nyström approximation instead of the empirical estimatorKernel mean embedding estimation · Fasttextembedding approximation errorMixed
Use continuous OMP landmarks rather than the Nyström estimatorKernel mean embedding estimation · Synthetic Gaussian dataembedding approximation errorMixed
Use the Nyström estimator rather than greedy coherence-based or determinant-based heuristicsKernel mean embedding estimation · Synthetic Gaussian dataembedding approximation errorNo clear effect
Use a Nyström approximation for the embedding-based MMD estimateMaximum mean discrepancy estimation · Synthetic and real datasetsMMD estimation errorHelped
Use a subsample size determined by polynomial effective-dimension growthNyström kernel mean embedding · Polynomial effective dimensionembedding approximation error: m = n1/(2−γ) log(n/δ); O(1/√n)Helped

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