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Cross-entropy scores a predicted probability distribution against observed targets. For next-token training, minimizing cross-entropy is equivalent to maximizing the likelihood of the observed token sequence.
Overview. Cross-entropy scores a predicted probability distribution against observed targets.
Context. For next-token training, minimizing cross-entropy is equivalent to maximizing the likelihood of the observed token sequence.
Cross-entropy scores a predicted probability distribution against observed targets. For next-token training, minimizing cross-entropy is equivalent to maximizing the likelihood of the observed token sequence.
Overview. Cross-entropy scores a predicted probability distribution against observed targets.
Context. For next-token training, minimizing cross-entropy is equivalent to maximizing the likelihood of the observed token sequence.
How to use this loss function entry for Cross-entropy. Read the formula alongside the shapes and role of each quantity, then trace where the operation appears in a larger training or inference computation.
Evidence note. This Mathematics loss function record for Cross-entropy is presented as an as-of-2026-07-13 orientation. The claim ledger identifies the source supporting its core statements; follow that record for the publication's full context and any later changes.
Cross-entropy scores a predicted probability distribution against observed targets. For next-token training, minimizing cross-entropy is equivalent to maximizing the likelihood of the observed token sequence.
Cross-entropy scores a predicted probability distribution against observed targets.
For next-token training, minimizing cross-entropy is equivalent to maximizing the likelihood of the observed token sequence.
Why it matters: Cross-entropy is best understood as part of a system, not as a label in isolation. The practical questions are what inputs it accepts, what outputs it produces, which evidence supports its capabilities, what constraints surround deployment, and how those details change over time. The Compendium separates the documented facts above from interpretation and records an as-of date so readers can re-check the primary source.
Reading note: this is original explanatory writing. It links to the cited source instead of reproducing protected text. Product availability, model names, pricing, and policies can change; follow the source for the provider's current position.
Cross-entropy scores a predicted probability distribution against observed targets. For next-token training, minimizing cross-entropy is equivalent to maximizing the likelihood of the observed token sequence.
Cross-entropy scores a predicted probability distribution against observed targets.
For next-token training, minimizing cross-entropy is equivalent to maximizing the likelihood of the observed token sequence.
Why it matters: Cross-entropy is best understood as part of a system, not as a label in isolation. The practical questions are what inputs it accepts, what outputs it produces, which evidence supports its capabilities, what constraints surround deployment, and how those details change over time. The Atlas separates the documented facts above from interpretation and records an as-of date so readers can re-check the primary source.
Reading note: this is original explanatory writing. It links to the cited source instead of reproducing protected text. Product availability, model names, pricing, and policies can change; follow the source for the provider's current position.