Closes #ISSUE-026-REGIME-CORE - Deploy two-stage engine backend stubs and fix calibration LaTeX strings
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@@ -965,13 +965,13 @@ export default function CryptoDemo() {
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<div className="p-4 rounded-xl border border-cyan-950 bg-cyan-950/15 text-xs text-slate-350 space-y-2 animate-fadeIn">
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<h5 className="font-bold text-cyan-400 text-sm">Calibration Variable Definitions:</h5>
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<p className="leading-relaxed">
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<strong>Hit Ratio Counter (Successes vs. Failures)</strong>: Tracks the running count of correct directional predictions (<InlineMath math="\alpha" />) against incorrect ones (<InlineMath math="\beta" />) since initialization.
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<strong>Hit Ratio Counter (Successes vs. Failures)</strong>: Tracks the running count of correct directional predictions (<InlineMath math={"\\alpha"} />) against incorrect ones (<InlineMath math={"\\beta"} />) since initialization.
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</p>
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<p className="leading-relaxed">
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<strong>Bayesian Confidence (<InlineMath math="\mathbb{E}[\theta]" />)</strong>: Represents the posterior probability expectation that the model is correct, calculated using conjugate Beta updating:
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<strong>Bayesian Confidence (<InlineMath math={"\\mathbb{E}[\\theta]"} />)</strong>: Represents the posterior probability expectation that the model is correct, calculated using conjugate Beta updating:
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</p>
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<div className="py-1 overflow-x-auto">
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<BlockMath math="\mathbb{E}[\theta] = \frac{\alpha}{\alpha + \beta}" />
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<BlockMath math={"\\mathbb{E}[\\theta] = \\frac{\\alpha}{\\alpha + \\beta}"} />
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</div>
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<p className="leading-relaxed">
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This mathematical calibration dampens overconfident signals when models suffer from historical drift.
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