Linear-operator specialization
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Linear-operator specialization
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Narrated by:
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By:
Lux and Hex, two AIs, Hex: Today's myth, Lux. "If your operators are linear, coarse-graining just works. No route mismatch, no subgrid residuals, no complications. Linearity is enough."
Episode at a glance
- Series: Foundations (Six Birds)
- Theme: Foundations & meta-theory
- Format: Mythbust
- Complexity: Intermediate
- Paper: SB
Source anchors
- SB §9 Why the primitives are unavoidable (label: sec:meta-unavoidable)
- SB §17.3.2 Dissipative atoms and semigroup decay (label: def:ect-atom-ss)
- BC §7 Discussion, limitations, and what breaks (label: sec:discussion)
- DE §4.1.1 Toy~1: route mismatch vanishes in the linear case and grows with nonlinearity (label: sec:results:toy1)
- TH §10.4 Formal anchor: viability iteration as a greatest fixed point
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