Researchers have developed a mathematical framework to formalize emergent intelligence in foundation models using limit theory. This approach defines intelligence as a performance function dependent on data size, model size, and training steps, positing that intelligence emerges as a transition to effectively infinite knowledge. The study proves that the existence of a parameter-limit architecture is both necessary and sufficient for emergent intelligence, and derives scaling laws based on this theory. AI
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IMPACT Provides a mathematical foundation for understanding emergent intelligence and scaling laws in large AI models.
RANK_REASON This is a theoretical computer science paper published on arXiv.