Logits are the raw scores a model computes for each candidate token. The Softmax function converts these scores into a probability distribution (summing to 1) used to determine the next token. These two steps are the foundational mechanism behind every word AI generates.
Plain-Language Analogy
Every step of AI writing an answer is a “candidate word election.”
Logits are each candidate’s “raw vote count.” One candidate scores 8.5, another 3.2, another -1.0. But these scores lack a unified scale — what does the gap between 8.5 and 3.2 actually mean?
Softmax is the “vote counting rule.” It converts all raw scores into percentages — 8.5 becomes 72%, 3.2 becomes 18%, -1.0 becomes 0.3%. All percentages sum to exactly 100%.
Now you see: the 72% candidate has an overwhelming advantage. Temperature and Top-K/Top-P manipulate this percentage distribution — low temperature turns 72% into 95% (winner takes all), high temperature turns 72% into 45% (more competitive).
Softmax’s “Winner-Takes-All” Property
Softmax has a critical mathematical property: it scales exponentially, not linearly. A 2-point raw score difference may translate to a 7x probability difference after Softmax.
In AI’s attention mechanism, Softmax serves the same function — determining which tokens each token “attends to.” This is why content most relevant to the core topic receives overwhelming attention weight while less relevant content is nearly ignored (the related strategy: Softmax Attention · Topic Focus).
What This Means for GEO
Understanding the Logits → Softmax → probability distribution pipeline gives you the mathematical foundation of AI generation behavior. the related strategy in Get AI to Speak for You: The Definitive Guide to GEO directly builds on Softmax’s winner-takes-all property: every piece of information on your page must strongly relate to the core topic — because Softmax exponentially amplifies the gap between most-relevant and least-relevant, suppressing irrelevant content’s weight.
Further Reading
- Get AI to Speak for You: The Definitive Guide to GEO, Chapter 2, Sections 2.4-2.5
- Get AI to Speak for You: The Definitive Guide to GEO, 35 Strategies · the related strategy
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