---
title: "Binary cross-entropy mathematical notation"
description: "Binary cross-entropy is a recurring research-paper notation family. Scores a Bernoulli prediction by selecting the log probability assigned to the…"
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/binary-cross-entropy"
md_url: "https://fanout.sh/labs/math-decoder/symbol/binary-cross-entropy.md"
last_updated: "2026-08-09"
access: "public"
---

# Binary cross-entropy mathematical notation

Binary cross-entropy is a recurring research-paper notation family. Scores a Bernoulli prediction by selecting the log probability assigned to the…

## Public overview

Binary cross-entropy is a recurring research-paper notation family. Scores a Bernoulli prediction by selecting the log probability assigned to the observed binary outcome and negating it.

Binary cross-entropy: Scores a Bernoulli prediction by selecting the log probability assigned to the observed binary outcome and negating it. Example: Use minus log p for a positive label and minus log one minus p for a negative label.

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