3 papers
math.DS2026
Time Series Correlations and Kolmogorov Complexity: A Hausdorff Dimension Perspective
Boumediene Hamzi, Marianne Clausel, Kamal Dingle +2
Spurious correlations are common in time-series analysis because simple, low-complexity patterns can produce high Pearson correlations even between unrelated series. We argue that…
math.DS2025
Retrodicting Chaotic Systems: An Algorithmic Information Theory Approach
Kamal Dingle, Boumediene Hamzi, Marcus Hutter +1
Making accurate inferences about data is a key task in science and mathematics. Here we study the problem of \emph{retrodiction}, inferring past values of a series, in the context…
math.DS2024
Exploring simplicity bias in 1D dynamical systems
Kamaludin Dingle, Mohammad Alaskandarani, Boumediene Hamzi +1
Arguments inspired by algorithmic information theory predict an inverse relation between the probability and complexity of output patterns in a wide range of input-output maps. Thi…