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Paper · arXiv

Horizon-Constrained Rashomon Sets for Chaotic Forecasting

Predictive multiplicity and chaotic dynamics represent two fundamental challenges in machine learning that have evolved independently despite their conceptual connections. We bridge this gap by introducing horizon-constrained Rashomon sets, a theoretical framework that characterizes how model multiplicity evolves with prediction horizon in chaotic systems. Unlike static prediction tasks where the Rashomon set remains fixed, chaos induces exponential divergence among initially similar models, fundamentally transforming the nature of predictive equivalence. We prove that the effective Rashomon set contracts exponentially with lead time at a rate determined by the maximum Lyapunov exponent a...

AuthorsGauri Kale, Rahul Vishwakarma, Holly Diamond et al.
Primary categorycs.LG
Published17 April 2026
Last updated at source17 April 2026
cs.LGcs.AImath.DSnlin.CD
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