Monte Carlo simulations up to L=18 yield evidence supporting replica symmetry breaking for low-energy excitations in 3D spin glasses and confirm the overlap-equivalence hypothesis.
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Numerical simulations confirm that the 3D SU(2) gauge glass model retains O(4) universality for the ferromagnetic-paramagnetic transition under weak disorder and shows disorder-independent universal behavior at the paramagnetic-spin glass transition.
Thesis uses statistical mechanics to study DAM and RBM models for understanding memorization, low-dimensional learning, and adversarial robustness in neural networks.
citing papers explorer
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On the true low-energy excitations of the three-dimensional spin glass
Monte Carlo simulations up to L=18 yield evidence supporting replica symmetry breaking for low-energy excitations in 3D spin glasses and confirm the overlap-equivalence hypothesis.
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Critical Universality of the SU (2) Gauge Glass Model Analyzed by the Dynamical Scaling Method
Numerical simulations confirm that the 3D SU(2) gauge glass model retains O(4) universality for the ferromagnetic-paramagnetic transition under weak disorder and shows disorder-independent universal behavior at the paramagnetic-spin glass transition.
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Explaining Machine Learning and Memorization with Statistical Mechanics
Thesis uses statistical mechanics to study DAM and RBM models for understanding memorization, low-dimensional learning, and adversarial robustness in neural networks.