Author

Maximilian Topel

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Preprint Sep 2026

Phase spaces of phase spaces: A method of constructing generalizable and topologically informed bases from time series demonstrated by reconstruction of the geometry of the macroeconomy

Laws from physics to social science rest on a small, enumerable number of factors explaining variation in the systems they describe. While the orthodoxy of economics, physics and chemistry relies on a small number of analytically interpretable laws, large data models pursuing universality throw in all available data. B...

Maximilian Topel · 0 citations

Preprint Aug 2026

Data-driven reconstruction of dynamical systems using Takens'Theorem, manifold learning, and universal function approximators

An algorithmic framework, TAkens Reconstruction (TAR), to analyze and reconstruct arbitrary dynamical systems from low-dimensional time series using an integration of Takens'Delay Embedding Theorem, manifold learning techniques, and universal function approximators is developed.

Maximilian Topel, Andrew L. Ferguson · 0 citations