eN8iAUR6bkvln/KeFgceQg==;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From Linear Scores to Probabilities: The Sigmoid
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The Bias Term — Why It Exists and What Happens Without It
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Why BCE, Not MSE: The Full Argument
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The Decision Boundary
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Calibration: When Probabilities Must Be Trustworthy
- Multi-Class Extension
- Regularization
- Netflix Interview Contextualization
- Connections