VMC local energy and gradient estimators are generically heavy-tailed for common ansatze due to nodal sets, but a new clipped variant converges in the low-moment regime.
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Minimum number of terms for exact antisymmetry in a class of TPFs grows exponentially with dimension, shown via CP rank of antisymmetric tensors.
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Is Variational Monte Carlo Robust? Sharp Moment Thresholds and Heavy-tailed Stochastic Optimization
VMC local energy and gradient estimators are generically heavy-tailed for common ansatze due to nodal sets, but a new clipped variant converges in the low-moment regime.
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Lower Bound on the Representation Complexity of Antisymmetric Tensor Product Functions
Minimum number of terms for exact antisymmetry in a class of TPFs grows exponentially with dimension, shown via CP rank of antisymmetric tensors.