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Composition methodologies in the current literature are mainly to promote estimation efficiency via direct composition, either, of initial estimators or of objective functions. In this paper, composite estimation is investigated for both…

统计方法学 · 统计学 2013-12-31 Lu Lin , Feng Li , Kangning Wang , Lixing Zhu

We present a next-to-leading logarithmic resummation for the jet-veto efficiency in Higgs production. We then discuss how this prediction affects the theoretical uncertainties in the region of transverse momenta of interest for Higgs…

高能物理 - 唯象学 · 物理学 2012-09-11 Andrea Banfi

Power and efficiency of heat engines are two conflicting objectives, and a tight efficiency bound is expected to give insights on the fundamental properties of the power-efficiency tradeoff. Here we derive an upper bound on the efficiency…

统计力学 · 物理学 2021-10-27 Takuya Kamijima , Shun Otsubo , Yuto Ashida , Takahiro Sagawa

Parallel combinations of adaptive filters have been effectively used to improve the performance of adaptive algorithms and address well-known trade-offs, such as convergence rate vs. steady-state error. Nevertheless, typical combinations…

最优化与控制 · 数学 2017-11-21 Luiz F. O. Chamon , Cassio G. Lopes

Existing optimization methods are used to calculate the upper-bounds on radiation efficiency with and without the constraint on self-resonance. These bounds are used for the design and assessment of small electric-dipole-type antennas. We…

经典物理 · 物理学 2019-04-05 L. Jelinek , K. Schab , M. Capek

Time discretization along with space discretization is important in the numerical simulation of subsurface flow applications for long run. In this paper, we derive theoretical convergence error estimates in discrete-time setting for…

数值分析 · 数学 2020-03-04 Yerlan Amanbek , Mary Wheeler

In this paper, we study local convergence of high-order Tensor Methods for solving convex optimization problems with composite objective. We justify local superlinear convergence under the assumption of uniform convexity of the smooth…

最优化与控制 · 数学 2021-05-21 Nikita Doikov , Yurii Nesterov

In this paper, we introduce a class of indicators that enable to compute efficiently optimal transport plans associated to arbitrary distributions of N demands and M supplies in R in the case where the cost function is concave. The…

最优化与控制 · 数学 2012-12-03 Julie Delon , Julien Salomon , Andrei Sobolevskii

We study optimal conformity measures for various criteria of efficiency of classification in an idealised setting. This leads to an important class of criteria of efficiency that we call probabilistic; it turns out that the most standard…

机器学习 · 计算机科学 2016-09-15 Vladimir Vovk , Ilia Nouretdinov , Valentina Fedorova , Ivan Petej , Alex Gammerman

Cumulants linearize convolution of measures. We use a formula of Good to define noncommutative cumulants in a very general setting.It turns out that the essential property needed is exchangeability of random variables. Roughly speaking the…

组合数学 · 数学 2012-12-06 Franz Lehner

The regularity of the solution of elliptic partial differential equa- tions in a polygonal domain with re-entrant corners is, in general, reduced compared to the one on a smooth convex domain. This results in a best approximation property…

数值分析 · 数学 2017-04-20 Thomas Horger , Petra Pustejovska , Barbara Wohlmuth

Purpose: Field monitoring measures field perturbations, which can be accounted for during image reconstructions. In certain field monitoring environments, significant phase deviations can arise far from isocenter due to the finite extent of…

医学物理 · 物理学 2023-01-25 Paul I. Dubovan , Kyle M. Gilbert , Corey A. Baron

Our purpose is to adapt the Hilbert Uniqueness Method by J.-L. Lions in the case of fractional diffusion-wave equations. The main difficulty is to determine the right shape for the adjoint system, suitable for the procedure of HUM.

偏微分方程分析 · 数学 2022-06-22 Paola Loreti , Daniela Sforza

We propose a scheme for testing high-dimensional Bell inequalities in phase space. High-dimensional Bell inequalities can be recast into the forms of a phase-space version using quasiprobability functions with the complex-valued order…

量子物理 · 物理学 2011-02-15 Seung-Woo Lee , Hyunseok Jeong

We provide novel theoretical results regarding local optima of regularized $M$-estimators, allowing for nonconvexity in both loss and penalty functions. Under restricted strong convexity on the loss and suitable regularity conditions on the…

统计理论 · 数学 2015-01-05 Po-Ling Loh , Martin J. Wainwright

For time-fractional parabolic equations with a Caputo time derivative of order $\alpha\in(0,1)$, we give pointwise-in-time a posteriori error bounds in the spatial $L_2$ and $L_\infty$ norms. Hence, an adaptive mesh construction algorithm…

数值分析 · 数学 2021-07-06 Natalia Kopteva

The unprecedented quality, the increased dataset, and the wide area of ongoing and near future weak lensing surveys allows to move beyond the standard two points statistics thus making worthwhile to investigate higher order probes. As an…

宇宙学与河外天体物理 · 物理学 2018-02-09 Martina Vicinanza , Vincenzo F. Cardone , Roberto Maoli , Roberto Scaramella , Xinzhong Er

We study various corrections of correlation functions to leading order in conformal perturbation theory, both on the cylinder and on the plane. Many problems on the cylinder are mathematically equivalent to those in the plane if we give the…

高能物理 - 理论 · 物理学 2016-07-08 David Berenstein , Alexandra Miller

Iterative Fast Fourier Transform methods are useful for calculating the fields in composite materials and their macroscopic response. By iterating back and forth until convergence, the differential constraints are satisfied in Fourier…

数值分析 · 数学 2018-01-25 Hervé Moulinec , Pierre Suquet , Graeme W. Milton

Momentum diffusion is a possible mechanism for driving macroscopic quantum systems towards classical behaviour. Experimental tests of this hypothesis rely on a precise estimation of the strength of this diffusion. We show that…

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