The increasing use of synthetic data from the public Internet has enhanced data usage efficiency in large language model (LLM) training. However, the potential threat of model collapse remains insufficiently explored. Existing studies primarily examine model collapse in a single model setting or rely solely on statistical surrogates. In this work, we introduce LLM Web Dynamics (LWD), an efficient framework for investigating model collapse at the network level. By simulating the Internet with a retrieval-augmented generation (RAG) database, we analyze the convergence pattern of model outputs. Furthermore, we provide theoretical guarantees for this convergence by drawing an analogy to interacting Gaussian Mixture Models.

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The Global Artificial Intelligence in Marketing Market Outlook Report is a comprehensive study of the Artificial Intelligence in Marketing industry and its future prospects.. A comprehensive research report created through extensive primary research (inputs from industry experts, companies, stakeholders) and secondary research, the report aims to present the analysis of Artificial Intelligence in Marketing Market. Artificial Intelligence in Marketing market size will grow from USD 4.99 Billion in 2017 to USD 23.41 Billion by 2023, at an estimated CAGR of 29.38%. The base year considered for the study is 2017, and the market size is projected from 2018 to 2023. Growth in the adoption of customer-centric marketing strategies, increase in demand for virtual assistants, and increased use of social media for advertising are the major factors driving the demand for AI-based marketing and sales solutions.

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