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      "title": "Local Manifold Dispersion Test for Heteroskedasticity",
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        "Vignette 1: S&P 500 Index Options & The Volatility Smile Manifold",
        "Vignette 2: Spatial Lag Hedonic Housing Price Gradients",
        "Vignette 3: High-Dimensional Macroeconomic Factor Forecasting ($p = 120$)",
        "Vignette 4: Limit Order Book (LOB) Intraday Flash Crash Early Warning",
        "Diagnostic Plotting Method",
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