ACQUIRE ONCE，DEPLOY MANY：ZERO-TARGET-FIT TEMPORAL MEASURES FOR FEW-STEP FLOW MODELS

Few-step flow samplers choose both the number and timing of field evaluations. Existing scheduling methods often repeat this decision for each target model. We instead acquire a temporal measure once and reuse it. At a budget of eight function evaluations (NFE = 8), explicit-midpoint second-order Runge–Kutta (RK2) has four executable intervals, represented by four positive widths. We fit these widths on an inexpensive unconditional CIFAR-10 Diffusion Transformer (DiT) using projected terminal Fréchet risk, freeze them, and copy them unchanged to ImageNet receivers. Deployment uses no target trajectory, feature, gradient, extra parameter, auxiliary network, or additional field evaluation. Canonical Fréchet Inception Distance (FID), evaluated with the Ablated Diffusion Model (ADM) suite over 50,000 samples (FID50k), falls from 8.3674 to 7.1696 on Scalable Interpolant Transformer (SiT-XL/2) and from 17.9714 to 14.6264 on Self-Flow; paired 95% bootstrap intervals for the FID reductions (uniform minus the acquired measure) are [1.1088, 1.2975] and [3.1486, 3.4903]. A second, independently seeded acquisition also improves fresh paired FID10k on SiT, Self-Flow, and REPresentation Alignment (REPA). A one-parameter power measure retains 83.7–91.8% of the flexible four-interval gain, with a receiver-dependent residual. The frozen measure transfers to an unseen Ralston RK2 tableau, and the allocation ordering agrees between ADM FID and independent DINOv2 metrics. Applied separately to forecasting, the same acquire-then-freeze protocol improves ensemble continuous ranked probability score in all six fresh receiver cells across electricity and short-horizon Lorenz forecasting at NFE = 8. The evidence supports amortized post-training temporal allocation within stated objective, source family, receiver family, solver, and budget contracts.