A Theoretical Perspective for Speculative Decoding Algorithm

• URL: http://arxiv.org/abs/2411.00841v1
• Date: Wed, 30 Oct 2024 01:53:04 GMT
• Title: A Theoretical Perspective for Speculative Decoding Algorithm
• Authors: Ming Yin, Minshuo Chen, Kaixuan Huang, Mengdi Wang,
• Abstract summary: One effective way to accelerate inference is emphSpeculative Decoding, which employs a small model to sample a sequence of draft tokens and a large model to validate. This paper tackles this gap by conceptualizing the decoding problem via markov chain abstraction and studying the key properties, emphoutput quality and inference acceleration, from a theoretical perspective.
• Score: 60.79447486066416
• License:
• Abstract: Transformer-based autoregressive sampling has been the major bottleneck for slowing down large language model inferences. One effective way to accelerate inference is \emph{Speculative Decoding}, which employs a small model to sample a sequence of draft tokens and a large model to validate. Given its empirical effectiveness, the theoretical understanding of Speculative Decoding is falling behind. This paper tackles this gap by conceptualizing the decoding problem via markov chain abstraction and studying the key properties, \emph{output quality and inference acceleration}, from a theoretical perspective. Our analysis covers the theoretical limits of speculative decoding, batch algorithms, and output quality-inference acceleration tradeoffs. Our results reveal the fundamental connections between different components of LLMs via total variation distances and show how they jointly affect the efficiency of decoding algorithms.

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