Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"manifold optimization"”.
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Manifold Optimization for Robotic Perception
… inverse problem can usually be formulated as an optimization problem, that seeks to select the best model from the imperfect sensor data. This thesis falls under the paradigm of state estimation, which aims to address the pose estimation and Simultaneous Localisation and Mapping (SLAM) problems. …
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Rigid Body Constrained Motion Optimization and Control on Lie Groups and Their Tangent Bundles
… All these groups are Lie groups and Riemannian manifolds, and these identifications have profound implications for dynamics and controls. The trajectory optimization and optimal control problem on Riemannian manifolds presents significant opportunities for theoretical development. Riemannian …
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Constrained Optimization on SO(3), via Pseudospectral Collocation
… group, SO(3), is both a Lie group and a manifold, and thus demands on-manifold optimization techniques to preserve its geometric structure. Riemannian optimization is enabled by mapping problems to the tangent space through equivariant transformations, with the Cayley map providing a …
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Scalable second-order Riemannian optimization for K-means clustering
… for clustering is a worst-case NP-hard discrete optimization problem. Despite being NP-hard, the SDP relaxation of the discrete formulation is guaranteed to recover the true cluster whenever it is statistically solvable. In this thesis, we propose to solve the relaxed K-means problem as an …
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THE THEORY OF COMBINATORY DIFFERENTIATION AND LOCALITY IN QUANTUM CHEMISTRY
… under the SCF narrative. We show that a manifold HF with localization avoids delocalizing the electrons at all times without any compromise to the energy. This approach points a way to reliably overcome the cubic scaling of independent electron theories through a divide and conquer …