LLM Engineering9 min read• Published July 14, 2026

LLM Inference Hyperparameters: Temperature, Top-P Nucleus, Top-K, Repetition Penalty & Context Windows

Controlling text generation probability distributions, logits scaling, nucleus sampling, stop sequences, and context length extension.

SN
Surya N
Full Stack Developer

⚡ Executive Summary

Master decoding parameters: Temperature logits scaling, Top-P nucleus sampling, Top-K truncation, Repetition Penalties, and system prompt engineering.

Key Takeaways

  • Sampling Parameters — covered in depth with practical examples, formulas, and code.
  • Context Window & System Prompts — covered in depth with practical examples, formulas, and code.

LLM Inference & Sampling Hyperparameters


#1. Sampling Parameters

1.1 Temperature

Scales logits prior to Softmax:

MATHEMATICAL FORMULA P(wᵢ) = (exp(zᵢ / T)) / (∑ exp(zⱼ / T))

  • T → 0: Greedy decoding (deterministic math/code).
  • T = 0.7 - 1.0: Creative text generation.
  • 1.2 Top-P (Nucleus Sampling)

    Samples from the smallest set of top tokens whose cumulative probability exceeds P (e.g. P = 0.90).

    1.3 Top-K & Repetition Penalty

  • Top-K: Limits candidate pool to fixed K highest probability tokens.
  • Repetition Penalty: Penalizes logits of previously generated tokens (1.05–1.15).

  • #2. Context Window & System Prompts

  • Max Tokens: Upper bound on output generation length.
  • Stop Sequences: Custom string triggers ending generation immediately.
  • System Prompts: Highest priority instructions guiding model role and boundaries.
  • Tags:#Hyperparameters#Temperature#Top-P#Top-K#Inference#Sampling
    ABOUT THE AUTHOR
    SN

    Surya N

    Full Stack Developer

    Surya N is part of the Junglans Solutions engineering team, specializing in llm engineering. Junglans builds a 20-product ecosystem of local-first enterprise software — AI developer tools, encrypted communication, and data infrastructure with zero cloud telemetry.

    Meet the full Junglans engineering team ↗
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