Anomaly detection is mapped to the RG flow of a non-equilibrium field theory, with the 2D Ising model benchmark showing critical threshold identification error below 4% by treating noise-to-signal as effective temperature.
Spectral analysis of finite-time correlation matrices near equilibrium phase transitions
7 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 7representative citing papers
Tsallis q-exponential distributions arise by minimizing a free energy built from a self-consistency entropy defined via a nonlinear operator Omega, with q = alpha + beta obtained directly from the operator's fixed-point structure.
Neumann-Neumann decomposition plus mass lumping enables fast sampling of Gaussian random fields on metric graphs while preserving theoretical convergence rates of the underlying finite-element scheme.
A simple mechanical model shows that modulation phasons in Ni-Mn-Ga 10M martensite relax shear loadings for commensurate and weakly incommensurate modulations but not for strongly incommensurate ones, explaining anomalous elastic behavior and related lattice properties.
A single spatial correlation index predicts cooperator fixation across arbitrary heterogeneous landscapes, with segregated environments enhancing and intermixed ones suppressing cooperation under weak selection.
A unified equation describes saturation magnetization loss from finite-size effects in weakly disordered spin-1/2 ferromagnets and yields a unified Bloch equation plus spin transport expression.
Correlation geometry underlies causal fermion systems by providing a thermodynamic-style description of physical systems that incorporates gauge symmetries and diffeomorphisms via the principle of unitary equivalence.
citing papers explorer
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Field Theory of Data: Anomaly Detection via the Functional Renormalization Group. The 2D Ising Model as a Benchmark
Anomaly detection is mapped to the RG flow of a non-equilibrium field theory, with the 2D Ising model benchmark showing critical threshold identification error below 4% by treating noise-to-signal as effective temperature.
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Emergence of Tsallis Statistics from a Self-Referential Nonlinear Operator: A Variational Framework
Tsallis q-exponential distributions arise by minimizing a free energy built from a self-consistency entropy defined via a nonlinear operator Omega, with q = alpha + beta obtained directly from the operator's fixed-point structure.
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Efficient generation of Gaussian random fields on metric graphs via domain decomposition and mass matrix lumping
Neumann-Neumann decomposition plus mass lumping enables fast sampling of Gaussian random fields on metric graphs while preserving theoretical convergence rates of the underlying finite-element scheme.
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On the proposed concept of mechanical phasons in Ni-Mn-Ga modulated martensite
A simple mechanical model shows that modulation phasons in Ni-Mn-Ga 10M martensite relax shear loadings for commensurate and weakly incommensurate modulations but not for strongly incommensurate ones, explaining anomalous elastic behavior and related lattice properties.
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Predicting success of cooperators across arbitrary heterogeneous environmental landscapes
A single spatial correlation index predicts cooperator fixation across arbitrary heterogeneous landscapes, with segregated environments enhancing and intermixed ones suppressing cooperation under weak selection.
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A unified equation for saturation magnetization and spin transport in weakly disordered ferromagnets
A unified equation describes saturation magnetization loss from finite-size effects in weakly disordered spin-1/2 ferromagnets and yields a unified Bloch equation plus spin transport expression.
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Quantum Reference Frames and Correlation Geometry
Correlation geometry underlies causal fermion systems by providing a thermodynamic-style description of physical systems that incorporates gauge symmetries and diffeomorphisms via the principle of unitary equivalence.