stabgauge

the question

Is the running-max stabilizer in xLSTM's sLSTM merely one overflow-safe choice, and is it the pointwise-minimal such gauge?

what came out

The stabilizer offset is a gauge: output h=C/N is exactly invariant to any offset schedule (naive and random within 3e-16 to 3e-14 of running-max). The running max is the pointwise-minimal overflow-safe gauge, hitting max-gate=1 at 1200/1200 steps, and it converts the normalizer's exact overflow horizon t*=1415 into linear growth.

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