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Dissecting Logit Generation in LLMs: Understanding Prefill, Decode, and KV Cache

21 April 2026 by
Suraj Barman
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Introduction to Logit Generation in LLMs

Large Language Models (LLMs) rely on a complex pipeline to generate text, which hinges on converting logits into probabilities and sampling the next token. This article dissects the underlying mechanics that govern the generation process, specifically focusing on the Prefill phase, the Decode phase, and the Key-Value (KV) cache. By understanding these components, professionals can grasp why these methods are essential for efficient text generation over long sequences.

The Prefill Phase: Parallel Token Processing

The Prefill phase processes an entire prompt in a single forward pass, leveraging the power of attention mechanisms. Consider the example prompt, Todays weather is so.... Humans intuitively expect an adjective to follow, such as warm or nice. Transformers replicate this logic using the scaled dot-product attention formula. This formula assigns contextual relationships between tokens, allowing each token to attend to others in the sequence.

During this phase, words like Today and weather are assigned higher semantic weights compared to less significant words like is or so. The learned attention heads focus on contextual relevance, building a rich representation of the input text. This capability ensures the accuracy and coherence of the generated output, making the Prefill phase a cornerstone of LLM functionality.

The Decode Phase: Step-by-Step Token Generation

In contrast to the Prefill phase, the Decode phase operates on a token-by-token basis, using previously generated context to predict subsequent tokens. This sequential approach ensures that the model can adapt to the evolving context, even as it extends the text. The Decode phase employs the contextual embeddings generated during the Prefill phase to compute probabilities for the next token.

While this step is computationally expensive, it is indispensable for maintaining coherence in extended text generation. Each token attends to both its predecessors and itself, ensuring that the generated sequence aligns with the input prompt's context.

Optimizing with the KV Cache

The KV cache is a critical optimization for the Decode phase, addressing the challenge of redundant computations. Without this cache, the model would need to recompute attention weights for every token in the sequence, significantly increasing computational overhead. The KV cache stores key-value pairs from previous computations, allowing the model to reuse this information and focus solely on the new token.

This optimization not only reduces computational cost but also enables LLMs to generate long responses without sacrificing performance. By minimizing redundancy, the KV cache ensures that the model operates efficiently, even at scale.

Attention Mechanisms: The Core of Contextual Understanding

Attention mechanisms are the foundation of LLMs, enabling them to capture relationships across tokens. Each token is assigned a scalar value that represents its information weight, influencing how the model prioritizes it during computations. For example, in the prompt Todays weather is so..., the word weather might carry a higher weight, guiding the model toward contextually appropriate predictions.

The attention mechanism relies on continuous values learned during training, computed through the dot product of query (Q) and key (K) vectors. These values are then normalized using a softmax function, ensuring that the model focuses on the most relevant tokens.

Conclusion: The Interplay of Prefill, Decode, and KV Cache

The two-phase process of LLM inference-Prefill and Decode-combined with the KV cache, forms the backbone of modern text generation. Each phase is designed to address specific challenges, from efficiently processing initial prompts to generating coherent long-form text. The inclusion of the KV cache further enhances the model's ability to handle extended sequences, making it an indispensable tool for scalable text generation.

By understanding these mechanisms, AI professionals can better appreciate the complexities of LLMs and work toward even more efficient architectures in the future. The focus on attention mechanisms, token relevance, and computational optimization underscores the intricacy and power of these systems.