Finite-Particle Convergence Rates for Conservative and Non-Conservative Drifting Models
We analyze finite-particle drifting models for one-step generative modeling. For a conservative velocity given by the difference of the kernel-smoothed data and model scores, a joint-entropy identity yields continuous-time bounds for the smoothed Fisher discrepancy and the squared particle velocity. The finite-particle correction involves reciprocal kernel density estimates. We give local-occupancy conditions and exact expectation bounds, and show that these expectations diverge for full-support initial densities in a shrinking-bandwidth regime. Keeping the bandwidth dependence of the quadrature constants explicit yields a conditional root residual-velocity rate of $N^{-1/(d+4)}$ under un...
| Authors | Krishnakumar Balasubramanian |
|---|---|
| Primary category | stat.ML |
| Published | 21 May 2026 |
| Last updated at source | 21 September 2026 |
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