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Main Authors: Gan, Zeyu, Ren, Ruifeng, Yao, Wei, Hu, Xiaolin, Xu, Gengze, Qian, Chen, Tang, Huayi, Gong, Zixuan, Yao, Xinhao, Tang, Pengwei, Dou, Zhenxing, Liu, Yong
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2601.02907
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author Gan, Zeyu
Ren, Ruifeng
Yao, Wei
Hu, Xiaolin
Xu, Gengze
Qian, Chen
Tang, Huayi
Gong, Zixuan
Yao, Xinhao
Tang, Pengwei
Dou, Zhenxing
Liu, Yong
author_facet Gan, Zeyu
Ren, Ruifeng
Yao, Wei
Hu, Xiaolin
Xu, Gengze
Qian, Chen
Tang, Huayi
Gong, Zixuan
Yao, Xinhao
Tang, Pengwei
Dou, Zhenxing
Liu, Yong
contents The rapid emergence of Large Language Models (LLMs) has precipitated a profound paradigm shift in Artificial Intelligence, delivering monumental engineering successes that increasingly impact modern society. However, a critical paradox persists within the current field: despite the empirical efficacy, our theoretical understanding of LLMs remains disproportionately nascent, forcing these systems to be treated largely as ``black boxes''. To address this theoretical fragmentation, this survey proposes a unified lifecycle-based taxonomy that organizes the research landscape into six distinct stages: Data Preparation, Model Preparation, Training, Alignment, Inference, and Evaluation. Within this framework, we provide a systematic review of the foundational theories and internal mechanisms driving LLM performance. Specifically, we analyze core theoretical issues such as the mathematical justification for data mixtures, the representational limits of various architectures, and the optimization dynamics of alignment algorithms. Moving beyond current best practices, we identify critical frontier challenges, including the theoretical limits of synthetic data self-improvement, the mathematical bounds of safety guarantees, and the mechanistic origins of emergent intelligence. By connecting empirical observations with rigorous scientific inquiry, this work provides a structured roadmap for transitioning LLM development from engineering heuristics toward a principled scientific discipline.
format Preprint
id arxiv_https___arxiv_org_abs_2601_02907
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Beyond the Black Box: A Survey on the Theory and Mechanism of Large Language Models
Gan, Zeyu
Ren, Ruifeng
Yao, Wei
Hu, Xiaolin
Xu, Gengze
Qian, Chen
Tang, Huayi
Gong, Zixuan
Yao, Xinhao
Tang, Pengwei
Dou, Zhenxing
Liu, Yong
Computation and Language
The rapid emergence of Large Language Models (LLMs) has precipitated a profound paradigm shift in Artificial Intelligence, delivering monumental engineering successes that increasingly impact modern society. However, a critical paradox persists within the current field: despite the empirical efficacy, our theoretical understanding of LLMs remains disproportionately nascent, forcing these systems to be treated largely as ``black boxes''. To address this theoretical fragmentation, this survey proposes a unified lifecycle-based taxonomy that organizes the research landscape into six distinct stages: Data Preparation, Model Preparation, Training, Alignment, Inference, and Evaluation. Within this framework, we provide a systematic review of the foundational theories and internal mechanisms driving LLM performance. Specifically, we analyze core theoretical issues such as the mathematical justification for data mixtures, the representational limits of various architectures, and the optimization dynamics of alignment algorithms. Moving beyond current best practices, we identify critical frontier challenges, including the theoretical limits of synthetic data self-improvement, the mathematical bounds of safety guarantees, and the mechanistic origins of emergent intelligence. By connecting empirical observations with rigorous scientific inquiry, this work provides a structured roadmap for transitioning LLM development from engineering heuristics toward a principled scientific discipline.
title Beyond the Black Box: A Survey on the Theory and Mechanism of Large Language Models
topic Computation and Language
url https://arxiv.org/abs/2601.02907