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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 15 of 15 for “"Barycenter"”.
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Optimal transportation and barycenter problems via convex functions
… The rst section develops 2-Wasserstein barycenter results. Using a xed-point framework introduced in chapter four, immediate convergence and explicit representation of the barycenter is demonstrated for some classes of distributions. The next section develops applications of …
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Analysis Of Sequential Barycenter Random Probability Measures via Discrete Constructions
… involves sequentially generating an array of barycenters that uniquely defines a probability measure. This work analyzes statistical properties of the measures generated by sequential barycenter array constructions. Specifically, this work addresses how changing the base measures of the …
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Analysis Of A Dual Scissored-Pair,variable-Speed, Control Moment Gyroscope Driven Spherical Robot
<p>The objective of this research is to compare barycenter offset based designs of spherical robots to control moment gyroscope (CMG) based designs in order to determine which approach is most effective. The first objective was to develop a list of current state of the art designs in order to gain …
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Stochastic Methods for One-Sided Bipartite Crossing Minimization and its Variants
… against each other and the standard benchmark barycenter heuristic on weighted and unweighted bipartite graphs. Both unweighted and weighted versions of barycenter are considered. In addition, a novel bottleneck crossings based stochastic hill climbing procedure is compared against a one-sided …
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Unsupervised machine learning and k-Means clustering as a way of discovering anomalous events In continuous seismic time series
… method for comparing seismic subsequences. DTW barycenter averaging (DBA) was used as the method for averaging multiple subsequences within a group of similiar shapes. Clustering is able to discover anomalously shaped parts of a seismic time series in a completely unsupervised fashion, without …
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Structure as simplification : transportation tools for understanding data
… quantization, with extensions to the Wasserstein barycenter problem, and a link to the classical coreset problem; (2) natural language processing where the hierarchical structure of text allows us to compare documents efficiently;(3) Bayesian inference where we can impose a hierarchy on the label …
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Applications of reference cycle building and K-shape clustering for anomaly detection in the semiconductor manufacturing process
… the thesis, arithmetic, the Dynamic Time Warping Barycenter Averaging (DBA), and the soft-DTW-based centroid. As a result, DBA is chosen considering its comprehensive performance of accuracy and calculation time. Optimizations on DBA is further discussed to reduce calculation time. The window …
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Advances in Gromov–Wasserstein optimal transport: linearization, multi-marginal generalization, barycenters and transfer operators
… can be leveraged to characterize unbalanced OT barycenters which are generalized Fréchet means with respect to the unbalanced Kantorovich divergence. For the barycenter case, the proposed generalized Sinkhorn algorithm can be implemented efficiently. Then, we turn our attention to generalizing …
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Statistical aspects of optimal transport
… most popular applications of OT in practice, the barycenter problem, providing dimension-free rates of statistical estimation. In the Gaussian case, we analyze first-order methods for computing barycenters, and develop global, dimension-free rates of convergence despite the non-convexity of the …
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Scalable Methodologies for Optimizing Over Probability Distributions
… manner using a regularized Wasserstein barycenter dual formulation; 2) identifying local minima of non-convex optimization as a generative model by learning proximal operators with global convergence guarantees; and 3) solving mass-conserving differential equations of probability flows …
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The Effect of the Large Magellanic Cloud on the Dark Matter Halo of the Milky Way
… caused by the LMC: the DM wake, the barycenter displace- ment, and the reflex motion. I show that these perturbations can be detected in both the kinematics and densities of the stellar halo beyond 50 kpc. Furthermore, I will illustrate how the present-day MW–LMC system can be modeled …
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Three essays on nonparametric estimation
… with the use of a regularized Wasserstein barycenter. The initial paths each minimize a combination of distance between subsequent points as well as the curvature along the path. The paper provides a result on consistency, and shows that the estimator has a time complexity that is O(n^{2}), …
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Lunar Mission Analysis for a Wallops Flight Facility Launch
… and Moon orbiting circularly around the system barycenter. This model allows the spacecraft to experience the influence of the Earth and Moon during the entire transfer orbit, making the simulation more closely related to what will actually happen rather than what a patched conic solution would …
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Optimal transport: theory, algorithms and applications
… and numerically that for regularized barycenter problems, the solutions corresponding to UMOT are less blurred. Secondly, UMOT performs better numerically in a transfer operator approach for the denoising of a time series of measures. In Chapter 3, we summarize the papers [152] and …
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Development of an efficient fluid-structure interaction model for floating objects
… (3 coordinates for the position vector of the barycenter and 3 rotation angles), providing the next position and orientation of the ship. The vertical translation of the rigid body is governed by the gravitational force and the restoring force from Archimedes' principle. As the ship oscillates …