Functional renormalization group applied to nearly continuous spectra yields a scale-dependent canonical dimension that undergoes a dimensional phase transition at signal-to-noise ratios below the BBP threshold, correlating with symmetry breaking and eigenvector deviations.
Functional renormalization group for “p = 2
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Establishes correspondence between anomaly detection and functional renormalization group flow of non-equilibrium field theories, benchmarked on 2D Ising model identifying critical thresholds with <4% error.
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Functional Renormalization for Signal Detection: Dimensional Analysis and Dimensional Phase Transition for Nearly Continuous Spectra Effective Field Theory
Functional renormalization group applied to nearly continuous spectra yields a scale-dependent canonical dimension that undergoes a dimensional phase transition at signal-to-noise ratios below the BBP threshold, correlating with symmetry breaking and eigenvector deviations.
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Field Theory of Data: Anomaly Detection via the Functional Renormalization Group. The 2D Ising Model as a Benchmark
Establishes correspondence between anomaly detection and functional renormalization group flow of non-equilibrium field theories, benchmarked on 2D Ising model identifying critical thresholds with <4% error.