WEBVTT

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Expected first gradient: 1. MLX returns −0.5.

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Normalized transform, x = e₀, N = 20.

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QᵀQ = I, so the energy gradient is x.

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Orthogonal does not mean symmetric.

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Same step size: 1/8. Initial loss ≈ 0.5.

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Before ≈ 0.5703125. After ≈ 0.3828125.

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Backward needs the transposed operator.

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Patch: transpose factors 20 and 28.

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64 scenarios. 624/624 checks pass after repair.

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Eight extra checks execute the energy updates.

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Local CPU, partial native rebuild.

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Full-model impact and novelty unestablished.