50 citations · 239 across the 21 of their papers we have counts for
21 papers
Almost Bayesian: The Fractal Dynamics of Stochastic Gradient Descent
Max Hennick, Stijn De Baerdemacker
We show that the behavior of stochastic gradient descent is related to Bayesian statistics by showing that SGD is effectively diffusion on a fractal landscape, where the fractal di…
Spin-Symmetry Projected constrained Unrestricted Hartree-Fock
Amir Ayati, Hugh G. A. Burton, Stijn De Baerdemacker
We introduce an electronic structure approach for spin symmetry breaking and restoration from the mean-field level. The spin-projected constrained-unrestricted Hartree-Fock (SPcUHF…
Geminal theory within the seniority formalism and bi-variational principle
Stijn De Baerdemacker, Dimitri Van Neck
We present an overview of the mathematical structure of geminal theory within the seniority formalism and bi-variational principle. Named after the constellation, geminal wavefunct…
Bivariational Principle for an Antisymmetrized Product of Nonorthogonal Geminals Appropriate for Strong Electron Correlation
Paul A. Johnson, Paul W. Ayers, Stijn De Baerdemacker +2
We develop a bivariational principle for an antisymmetric product of nonorthogonal geminals. Special cases reduce to the antisymmetric product of strongly-orthogonal geminals (APSG…
The seniority quantum number in Tensor Network States
Klaas Gunst, Dimitri Van Neck, Peter A. Limacher +1
We employ tensor network methods for the study of the seniority quantum number - defined as the number of unpaired electrons in a many-body wave function - in molecular systems. Se…
The decomposition of an arbitrary unitary matrix into signed permutation matrices
Alexis De Vos, Stijn De Baerdemacker
Birkhoff's theorem tells that any doubly stochastic matrix can be decomposed as a weighted sum of permutation matrices. A similar theorem reveals that any unitary matrix can be dec…