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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Convergence holds for momentum μ less than 1 in SPRING under mild assumptions, but μ=1 risks divergence; PRIME-SR adapts momentum via spectral dimension and subspace overlap to match tuned performance with better robustness.
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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.
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Momentum Stability and Adaptive Control in Stochastic Reconfiguration
Convergence holds for momentum μ less than 1 in SPRING under mild assumptions, but μ=1 risks divergence; PRIME-SR adapts momentum via spectral dimension and subspace overlap to match tuned performance with better robustness.