vysi8tQ15qUvTZmwzJH7dQ==;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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