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The implementation of the orbital minimization method (OMM) for solving the self-consistent Kohn-Sham (KS) problem for electronic structure calculations in a basis of non-orthogonal numerical atomic orbitals of finite-range is reported. We…

计算物理 · 物理学 2014-02-06 Fabiano Corsetti

A computation method of algebraic local cohomology with parameters, associated with zero-dimensional ideal with parameter, is introduced. This computation method gives us in particular a decomposition of the parameter space depending on the…

符号计算 · 计算机科学 2015-08-28 Katsusuke Nabeshima , Shinichi Tajima

Consider the problem of minimizing the expected value of a cost function parameterized by a random variable. The classical sample average approximation (SAA) method for solving this problem requires minimization of an ensemble average of…

最优化与控制 · 数学 2013-07-24 Meisam Razaviyayn , Maziar Sanjabi , Zhi-Quan Luo

We introduce a new method for performing robust Bayesian estimation of the three-dimensional spatial power spectrum at the Epoch of Reionization (EoR), from interferometric observations. The versatility of this technique allows us to…

天体物理仪器与方法 · 物理学 2018-11-06 Peter H. Sims , Lindley Lentati , Jonathan C. Pober , Chris Carilli , Michael P. Hobson , Paul Alexander , Paul Sutter

A finite element-based image segmentation strategy enhanced by an anisotropic mesh adaptation procedure is presented. The methodology relies on a split Bregman algorithm for the minimisation of a region-based energy functional and on an…

数值分析 · 数学 2022-07-14 Matteo Giacomini , Simona Perotto

We address the problem of minimizing a class of energy functions consisting of data and smoothness terms that commonly occur in machine learning, computer vision, and pattern recognition. While discrete optimization methods are able to give…

计算机视觉与模式识别 · 计算机科学 2022-06-22 Zhakshylyk Nurlanov , Daniel Cremers , Florian Bernard

We propose semantic region-adaptive normalization (SEAN), a simple but effective building block for Generative Adversarial Networks conditioned on segmentation masks that describe the semantic regions in the desired output image. Using SEAN…

计算机视觉与模式识别 · 计算机科学 2020-08-13 Peihao Zhu , Rameen Abdal , Yipeng Qin , Peter Wonka

Computing Gaussian ground states via variational optimization is challenging because the covariance matrices must satisfy the uncertainty principle, rendering constrained or Riemannian optimization costly, delicate, and thus difficult to…

量子物理 · 物理学 2026-01-29 Christopher Willby , Tomohiro Hashizume , Jason Crain , Dieter Jaksch

Extremal Optimization, a recently introduced meta-heuristic for hard optimization problems, is analyzed on a simple model of jamming. The model is motivated first by the problem of finding lowest energy configurations for a disordered spin…

统计力学 · 物理学 2018-07-06 S. Boettcher , M. Grigni

We describe a maximum likelihood regularized beam deconvolution map-making algorithm for data from high resolution, polarization sensitive instruments, such as the Planck data set. The resulting algorithm, which we call PReBeaM, is…

天体物理学 · 物理学 2009-11-13 Charmaine Armitage-Caplan , Benjamin D. Wandelt

Spatial covariance matrix (SCM) is essential in many applications of multi-antenna systems such as massive multiple-input multiple-output (MIMO). For massive MIMO operating at millimeter-wave bands, hybrid analog-digital structure has been…

信息论 · 计算机科学 2022-03-29 Yinsheng Liu , Hongtao Duan , Xi Liao

High precision measurements are essential to solve major scientific and technological challenges, from gravitational wave detection to healthcare diagnostics. Quantum sensing delivers greater precision, but an in-depth optimisation of…

Least squares estimation, a regression technique based on minimisation of residuals, has been invaluable in bringing the best fit solutions to parameters in science and engineering. However, in dynamic environments such as in Geomatics…

计算工程、金融与科学 · 计算机科学 2018-04-17 C. P. E. Agbachi

A new methodology for the improvement of the performance of inexpensive static passive electromagnetic skins (SP-EMSs) is presented. The proposed approach leverages on the non-uniqueness of the inverse source problem associated to the…

系统与控制 · 电气工程与系统科学 2024-08-14 Giacomo Oliveri , Francesco Zardi , Andrea Massa

We examine the spectrum of supersymmetric particles predicted by grand unified theoretical (GUT) models where the electroweak symmetry breaking is accomplished radiatively. We evolve the soft supersymmetry breaking parameters according to…

高能物理 - 唯象学 · 物理学 2009-09-15 V. Barger , M. S. Berger , P. Ohmann

Recent microscopy imaging techniques allow to precisely analyze cell morphology in 3D image data. To process the vast amount of image data generated by current digitized imaging techniques, automated approaches are demanded more than ever.…

计算机视觉与模式识别 · 计算机科学 2020-10-26 Dennis Eschweiler , Malte Rethwisch , Simon Koppers , Johannes Stegmaier

Neural networks that are equivariant to rotations, translations, reflections, and permutations on n-dimensional geometric space have shown promise in physical modeling for tasks such as accurately but inexpensively modeling complex…

机器学习 · 计算机科学 2023-01-25 Yuanqing Wang , John D. Chodera

We consider a randomised implementation of the finite element method (FEM) for elliptic partial differential equations on high-dimensional models. This is motivated by applications where model predictions are essential for real-time process…

数值分析 · 数学 2019-07-30 Yue Wu , Dimitris Kamilis , Nick Polydorides

We report a multiscale approach of broad applicability to stochastic reconstruction of multiphase materials, including porous ones. The approach devised uses an optimization method, such as the simulated annealing (SA) and the so-called…

材料科学 · 物理学 2018-11-13 R. Piasecki , W. Olchawa , D. Frączek , R. Wiśniowski

In this paper, we present an approach to enhance and improve the current normal map rendering technique. Our algorithm is based on semi-discrete Optimal Mass Transportation (OMT) theory and has a solid theoretical base. The key difference…

图形学 · 计算机科学 2020-04-22 Hui Zhao , Kehua Su , Ming Ma , Na Lei , Li Cui , Xianfeng Gu