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Soft-Mode Consequences for Sloppy Spectra

Develop theoretical analyses and empirical comparisons to determine whether the soft-mode consequences (phenocopying, dual buffering, and global epistasis) extend to dynamical systems with broadly spaced, sloppy spectra lacking a clear mode gap, by deriving quantitative predictions and validating them against data.

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Background

The framework and its consequences are presented assuming a clear separation between slow (soft) and fast modes. Many real systems may exhibit sloppy spectra without a sharp mode gap.

Establishing whether soft-mode consequences persist in such systems requires new theoretical work and data-driven validation, which the authors explicitly note has not yet been performed.

References

While we assume a clear mode gap for ease of discussion here, many real systems may not have such a clear separation of timescales. The three consequences presented in later sections here will likely qualitatively apply to spectra that spaced out, e.g., sloppy spectra , but the theoretical work and comparisons to data have not been done.

— Soft Modes as a Predictive Framework for Low Dimensional Biological Systems across Scales (2412.13637 - Russo et al., 18 Dec 2024) in Soft modes as a quantitative framework for dimensionality reduction — discussion of mode gap