Related-task warm-starting

Carry useful state across a stream of nearby problems.

The configuration is part of the loop state. Do not throw it away when the next target, frame, or instance is related to the last one.

Warm starts are useful for tracking, repeated response matching, related-target control, and drift recovery.

When tasks are unrelated, reset explicitly. Retention is valuable because it is honest state, not because every prior configuration deserves to survive.

opt = SWCOptimizer(key, n=len(x0), mode="regulation", target=target)
x = opt.start(x0)
for _ in range(rounds):
    x = opt.step(measure(x), target=target)
proof = opt.end()