SODA uses differential algebra and adaptive Gaussian mixtures to solve chance-constrained nonlinear trajectory optimization problems for space missions with non-Gaussian uncertainties.
Ab initio study of a mechanically gated molecule: From weak to strong correlation
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abstract
The electronic spectrum of a chemically contacted molecule in the junction of a scanning tunneling microscope can be modified by tip retraction. We analyze this effect by a combination of density functional, many-body perturbation and numerical renormalization group theory, taking into account both the non-locality and the dynamics of electronic correlation. Our findings, in particular the evolution from a broad quasiparticle resonance below to a narrow Kondo resonance at the Fermi energy, correspond to the experimental observations.
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Two general-purpose methods transcribe multi-dimensional Gaussian chance constraints for trajectory optimization with reduced conservatism, paired with a quadratic-complexity risk estimator that remains accurate in high dimensions.
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Non-linear stochastic trajectory optimisation
SODA uses differential algebra and adaptive Gaussian mixtures to solve chance-constrained nonlinear trajectory optimization problems for space missions with non-Gaussian uncertainties.
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Chance constraints transcription and failure risk estimation for stochastic trajectory optimisation
Two general-purpose methods transcribe multi-dimensional Gaussian chance constraints for trajectory optimization with reduced conservatism, paired with a quadratic-complexity risk estimator that remains accurate in high dimensions.