Moments Explorer - Interactive Visualization

Moments characterize the shape of a probability distribution. The first moment (mean) is the center of mass. The second moment (variance) measures spread. Skewness captures asymmetry. Kurtosis measures tail heaviness - high kurtosis distributions produce extreme values more often. In ML, heavy-tailed weight distributions indicate potential training instability.

• Drag bars to sculpt a custom probability distribution
• Watch mean (E[X]), variance (Var[X]), skewness, kurtosis update live
• See mean line and variance band on the distribution
• Use presets: Symmetric, Left Skew, Right Skew, Heavy Tail
• Connect to batch normalization, distribution diagnostics, and data analysis

Part of the EngineersOfAI Interactive 3D - free interactive visualizations covering every major concept in machine learning and AI engineering. Hover any element for a plain-English explanation. No code required.