ABSTRACT
This paper proposes a theoretical framework to characterize stability boundaries of attention support, introducing tools from geometric measure theory and dynamical systems analysis to establish when attention distributions remain stable or collapse.
PAPER · PDF
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Key findings
Identifies critical thresholds in spectral norms, temperature parameters, and input variance.
Derives tight bounds on attention entropy as a function of weight matrix spectra.
Characterizes bifurcation points in attention support topology.
Limitations & open questions
Further empirical validation needed across additional domains.