Zobrazeno 1 - 10
of 130
pro vyhledávání: '"Bindel, David"'
Autor:
Nwankwo, Darian, Bindel, David
Bayesian optimization (BO) methods choose sample points by optimizing an acquisition function derived from a statistical model of the objective. These acquisition functions are chosen to balance sampling regions with predicted good objective values a
Externí odkaz:
http://arxiv.org/abs/2408.07812
Walk on Spheres algorithms leverage properties of Brownian Motion to create Monte Carlo estimates of solutions to a class of elliptic partial differential equations. Until recently, estimates were constructed pointwise and did not utilize the relatio
Externí odkaz:
http://arxiv.org/abs/2404.17692
Autor:
Ruth, Maximilian, Bindel, David
In many applications, one is interested in classifying trajectories of Hamiltonian systems as invariant tori, islands, or chaos. The convergence rate of ergodic Birkhoff averages can be used to categorize these regions, but many iterations of the ret
Externí odkaz:
http://arxiv.org/abs/2403.19003
Autor:
Ruth, Maximilian, Bindel, David
Many important qualities of plasma confinement devices can be determined via the Poincar\'e plot of a symplectic return map. These qualities include the locations of periodic orbits, magnetic islands, and chaotic regions of phase space. However, ever
Externí odkaz:
http://arxiv.org/abs/2312.00967
In designing stellarators, any design decision ultimately comes with a trade-off. Improvements in particle confinement, for instance, may increase the burden on engineers to build more complex coils, and the tightening of financial constraints may si
Externí odkaz:
http://arxiv.org/abs/2304.08698
Confining energetic ions such as alpha particles is a prime concern in the design of stellarators. However, directly measuring alpha confinement through numerical simulation of guiding-center trajectories has been considered to be too computationally
Externí odkaz:
http://arxiv.org/abs/2302.11369
The Bayesian transformed Gaussian process (BTG) model, proposed by Kedem and Oliviera, is a fully Bayesian counterpart to the warped Gaussian process (WGP) and marginalizes out a joint prior over input warping and kernel hyperparameters. This fully B
Externí odkaz:
http://arxiv.org/abs/2210.10973
Across many data domains, co-occurrence statistics about the joint appearance of objects are powerfully informative. By transforming unsupervised learning problems into decompositions of co-occurrence statistics, spectral algorithms provide transpare
Externí odkaz:
http://arxiv.org/abs/2111.06580
Community is a universal structure in various complex networks, and community detection is a fundamental task for network analysis. With the rapid growth of network scale, networks are massive, changing rapidly and could naturally be modeled as graph
Externí odkaz:
http://arxiv.org/abs/2110.14972
In the construction of a stellarator, the manufacturing and assembling of the coil system is a dominant cost. These coils need to satisfy strict engineering tolerances, and if those are not met the project could be canceled as in the case of the Nati
Externí odkaz:
http://arxiv.org/abs/2110.07464