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Temperature & Sampling Parameters – Definition & Explanation

What do Temperature, Top-P, Top-K, and Penalties mean in AI models? Learn how to control creativity and repetition.

FHFinn Hillebrandt
Last updated:January 3, 2026
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Basics
Temperature & Sampling Parameters – Definition & Explanation
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What are Sampling Parameters?

Sampling parameters control how a Large Language Model selects the next token (word or subword). They influence whether the output is creative and diverse or precise and deterministic.

The most important parameters are Temperature, Top-P (Nucleus Sampling), Top-K, as well as Frequency Penalty and Presence Penalty.

Temperature

Temperature controls the "creativity" of the model. It affects how much the probability distribution for the next token is "smoothed."

  • Temperature = 0: The model always chooses the most probable token. Deterministic, repeatable, but potentially boring.
  • Temperature = 0.7: Good middle ground for most applications. Creative but still coherent.
  • Temperature = 1.0: Default value. Balanced creativity.
  • Temperature > 1.0: Very creative but increasingly chaotic and potentially nonsensical.

When to Use Which Temperature?

  • Low (0–0.3): Fact-based answers, code, math
  • Medium (0.5–0.7): General conversation, text creation
  • High (0.8–1.2): Creative writing, brainstorming

The following interactive table shows how output changes with different Temperature values:

How the Output Changes

Drag the slider to see the effect

LowCurrent Value: 1.0High
02

"The sun dives like a burning phoenix into the sea of clouds as the sky explodes in ecstatic colors."

Very creative, intense

Prompt:"Describe a sunset in one sentence."
Recommended Range:0.3–0.9 for most applications
Values above 1.5 often lead to incoherent or unusable results.

Top-P (Nucleus Sampling)

Top-P limits the selection to the smallest group of tokens whose cumulative probability exceeds the value P.

  • Top-P = 0.1: Only the most probable tokens (10% of probability mass)
  • Top-P = 0.9: Broad selection, 90% of probability mass
  • Top-P = 1.0: All tokens are possible

Recommendation: Use either Temperature OR Top-P, not both simultaneously. Many experts prefer Top-P for more control.

See how output changes with different Top-P values:

How the Output Changes

Drag the slider to see the effect

LowCurrent Value: 0.5High
01

"The sky is blue due to a physical phenomenon called Rayleigh scattering, where shorter wavelengths of light are scattered more."

Balanced, informative

Prompt:"Explain why the sky is blue."
Recommended Range:0.8–0.95 (or keep default 1.0)

Top-K

Top-K limits the selection to the K most probable tokens.

  • Top-K = 1: Only the most probable token (like Temperature 0)
  • Top-K = 40: Selection from the 40 most probable tokens
  • Top-K = 0: No limit (all tokens possible)

Top-K is less dynamic than Top-P since it selects a fixed number regardless of probabilities.

The following table demonstrates the effect of Top-K:

How the Output Changes

Drag the slider to see the effect

LowCurrent Value: 20High
1100

"Papaya, pomegranate, lychee."

More unusual selection

Prompt:"Name three fruits."
Recommended Range:10–50 for balanced results

Frequency Penalty

Frequency Penalty reduces the probability of tokens that already appear frequently in the text. The more often a token appears, the more it is "penalized."

  • 0: No penalty
  • 0.5–1.0: Moderate reduction of repetition
  • 2.0: Strong reduction, can make text unnatural

Here you can see how different Frequency Penalty values affect repetition:

How the Output Changes

Drag the slider to see the effect

LowCurrent Value: 1.0High
02

"Loyal quadrupeds enrich human existence. Furry companions enjoy movement and offer unconditional affection."

Actively different words

Prompt:"Write a short text about dogs."
Recommended Range:0.0–0.8 for natural text
Values above 1.5 often lead to incoherent or unusable results.

Presence Penalty

Presence Penalty penalizes tokens that appear at all in the text, regardless of how often. It encourages introducing new topics.

  • 0: No penalty
  • 0.5: Encourages new words and concepts
  • 1.0+: Strong promotion of diversity

The table shows how Presence Penalty encourages the model to diverge topically:

How the Output Changes

Drag the slider to see the effect

LowCurrent Value: 1.0High
02

"Mobility shapes our modern society. Sustainability and ecological footprint also play an important role."

Related topics

Prompt:"Tell me something about traveling."
Recommended Range:0.0–0.6 for focused answers
Values above 1.5 often lead to incoherent or unusable results.

Practical Recommendations

Use CaseTemperatureTop-P
Code Generation0–0.20.1–0.3
Factual Answers0.3–0.50.5–0.7
General Conversation0.70.9
Creative Writing0.9–1.20.95–1.0

Conclusion

Sampling parameters are powerful tools for controlling LLM behavior. For most applications, experimenting with Temperature or Top-P is sufficient. Penalties are useful for avoiding repetition. Experiment with different values to find the optimal settings for your use case.

Sources and References
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FH

Finn Hillebrandt

AI Expert & Blogger

Finn Hillebrandt is the founder of Gradually AI, an SEO and AI expert. He helps online entrepreneurs simplify and automate their processes and marketing with AI. Finn shares his knowledge here on the blog in 50+ articles as well as through his ChatGPT Course and the AI Business Club.

Learn more about Finn and the team, follow Finn on LinkedIn, join his Facebook group for ChatGPT, OpenAI & AI Tools or do like 17,500+ others and subscribe to his AI Newsletter with tips, news and offers about AI tools and online business. Also visit his other blog, Blogmojo, which is about WordPress, blogging and SEO.

Related AI Terms

AI GovernanceArtificial Intelligence (AI)Chain-of-Thought PromptingContext WindowExplainable AI (XAI)Fine-TuningKnowledge Cutoff DateLarge Language Model (LLM)PromptPrompt InjectionSystem Prompt
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