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#phase-transitions

Topical Phase Transitions in Artificial Intelligence Research: Large-Scale Evidence and an Early-Warning Signature for Emerging Topics

arXiv cs.AI · 2d ago Cached

This paper analyzes 80,814 papers from five top AI conferences (2017-2025) to show that major AI topics advance through abrupt 'topical phase transitions' rather than gradual growth. It proposes an early-warning signature for detecting such transitions and flags reasoning, agentic AI, and multimodal LLMs as topics to monitor through 2028.

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#phase-transitions

Emergence via Phase Transitions: Mechanism Landscapes and Universal Convergence Across Complex Systems

arXiv cs.LG · 5d ago Cached

This paper introduces the Hierarchical Emergence Framework (HEF), which explains how diverse systems such as neural networks and biological evolution converge to similar internal representations through phase transitions in mechanism landscapes under physical and informational constraints. The framework is validated empirically with 111 grokking experiments that confirm universal convergence and identify a critical energy threshold.

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#phase-transitions

Weight Decay Regimes in Grokking Transformers: Cheap Online Diagnostics

arXiv cs.LG · 2026-05-21 Cached

This paper investigates how weight decay acts as a control parameter for transitioning between memorization and generalization in transformers trained on modular arithmetic, and introduces two cheap online diagnostic metrics from attention activations that track these dynamics.

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#phase-transitions

Phase Transitions in Driven Informational Systems: A Two-Field Perspective on Learning Theory and Non-Equilibrium Chemistry

arXiv cs.LG · 2026-05-19 Cached

This paper proposes a unified theoretical framework for phase transitions in deep learning (grokking, emergent capabilities) and non-equilibrium chemistry, describing both as driven informational systems governed by two gradient fields.

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#phase-transitions

Structural Instability of Feature Composition

arXiv cs.LG · 2026-05-08 Cached

This paper presents a geometric framework to analyze the instability of feature composition in Sparse Autoencoders, revealing that non-linearities cause a ratchet effect leading to compositional collapse beyond a critical density.

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#phase-transitions

The Spectral Geometry of Thought: Phase Transitions, Instruction Reversal, Token-Level Dynamics, and Perfect Correctness Prediction in How Transformers Reason

arXiv cs.LG · 2026-04-20 Cached

A comprehensive spectral analysis across 11 LLMs revealing that transformers exhibit phase transitions in hidden activation spaces during reasoning versus factual recall, with seven fundamental phenomena including spectral compression, instruction-tuning reversal, and perfect correctness prediction (AUC=1.0) based solely on spectral properties.

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