Samplinglib
Lean gate passed 2026-08-19T06:04:36.257124+00:00 · 77184245109a
12.3 · Book p. 288 · PDF p. 300

Discretization Analysis

Decomposes generation error into initialization, score approximation, and numerical discretization terms.

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Place in the proof route

The chapter uses this material in the route toward Time reversal identifies the exact reverse drift under regular marginal densities. The declaration-level source map is intentionally left inside the formalization layer until exact theorem anchors have been audited.

Why is this valid?

Chapter-level validity conditions

  • A score is defined only with respect to a chosen density and representative.
  • Reverse-time formulas require time-marginal regularity and a precise filtration statement.
  • An L2 score approximation under one law cannot silently be used under another law.
View Lean formalization

No declaration-level mapping has been accepted for this section. This is a route status, not a failed Lean declaration.