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Stein Variational Gradient Descent as Moment Matching
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use linear features | SVGD · Multivariate Gaussian distributions | mean and covariance estimation: exactly estimates both the mean and the covariance matrix | Helped |
| Use random features of a strictly positive definite kernel | SVGD · Target distribution p | kernelized Stein discrepancy: \tilde O(1/\sqrt{n}) | Helped |
| Use linear features alone rather than a richer feature set | SVGD · Whole-distribution approximation | distributional consistency | Hurt |
| Use a Gaussian RBF kernel instead of linear features | SVGD · Gaussian targets | mean and variance estimation | Mixed |
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- ELBOing Stein: Variational Bayes with Stein Mixture Inference (ICLR 2025 · similarity 0.92)
- Long-time asymptotics of noisy SVGD outside the population limit (ICLR 2025 · similarity 0.91)
- Improved Finite-Particle Convergence Rates for Stein Variational Gradient Descent (ICLR 2025 · similarity 0.91)
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