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concept:transient-chaosTransient Chaos
The physical phenomenon the paper identifies as the cause of reasoning slowdowns: chaotic wandering before eventual convergence.
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Papers (1)
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Thinkers (3)
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- Celso GrebogistudiesFoundational work on transient chaos and the uncertainty exponent underlying this paper's fractality metrics.
- Tamás TélstudiesCo-author of the transient chaos textbook and work on doubly-transient chaos.
- Ying-Cheng LaistudiesCo-author of the canonical transient chaos textbook; source of the finite-time Lyapunov exponent framework used here.
Concepts (3)
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- Doubly-Transient Chaosextendsrelated_toChaos whose underlying saddle-like set itself decays over time (as in a damped pendulum); the paper expects most reasoning models to show this due to convergence pressure acting like dissipation.
- Singly-Transient Chaosextendsrelated_toChaos where the saddle-like set is constant and transience arises only from approach to steady states, contrasted with doubly-transient chaos.
- Fractal Basinsassociated_withSelf-similar convergence-time basins the paper finds in reasoning models' latent initial-condition space, growing with task difficulty.
Related by similarity (8)
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- Proposed theoretical framework combining qualitative and quantitative aspects of information, with explicit treatment of processes and information flow; central organizing concept for the paper.