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New monograph maps deep learning theory from approximation to emergence

A new monograph titled "From Approximation to Emergence: A Theory of Deep Learning" offers a unified, proof-oriented account of modern deep learning theory. The book traces the evolution of the field from classical concepts like approximation and generalization to contemporary topics such as overparameterization, generative modeling, transformers, and emergence. It aims to provide a rigorous map of deep learning theory for researchers and practitioners, highlighting its current power, incompleteness, and the growing focus on how learned mechanisms arise from scale, data, architecture, and training. AI

IMPACT Provides a comprehensive theoretical framework for understanding current and future deep learning advancements.

RANK_REASON The item is an arXiv preprint detailing a new theoretical framework for deep learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New monograph maps deep learning theory from approximation to emergence

COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Zhilin Zhao ·

    From Approximation to Emergence: A Theory of Deep Learning

    arXiv:2607.01311v1 Announce Type: cross Abstract: Deep learning has outgrown any single mathematical explanation. From Approximation to Emergence develops a unified, proof-oriented account of modern deep learning theory, tracing a path from the classical foundations of approximat…

  2. arXiv stat.ML TIER_1 English(EN) · Zhilin Zhao ·

    From Approximation to Emergence: A Theory of Deep Learning

    Deep learning has outgrown any single mathematical explanation. From Approximation to Emergence develops a unified, proof-oriented account of modern deep learning theory, tracing a path from the classical foundations of approximation, optimization, and generalization to the conte…