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This paper considers sequential adaptive estimation of sparse signals under a constraint on the total sensing effort. The advantage of adaptivity in this context is the ability to focus more resources on regions of space where signal…

统计方法学 · 统计学 2013-04-03 Dennis Wei , Alfred O. Hero

A double-channel waveguide with gain and loss is addressed and the corresponding coupled-mode equations are established by employing the coupled mode approach. Based on the coupled-mode equations, the beam dynamics in the double-channel…

光学 · 物理学 2015-06-01 Pengfei Li , Rujiang Li , Lu Li

The averaging method is a classical powerful tool in perturbation theory of dynamical systems. There are two major obstacles to applying the averaging method, resonances and separatrices. In this paper we obtain realistic asymptotic…

动力系统 · 数学 2022-02-14 Anatoly Neishtadt , Alexey Okunev

Recent advances in causal inference have seen the development of methods which make use of the predictive power of machine learning algorithms. In this paper, we develop novel double machine learning (DML) procedures for panel data in which…

计量经济学 · 经济学 2025-01-03 Paul S. Clarke , Annalivia Polselli

The Einstein-Proca action is known to have asymptotically locally Lifshitz spacetimes as classical solutions. For dynamical exponent z=2, two-point correlation functions for fluctuations around such a geometry are derived analytically. It…

高能物理 - 理论 · 物理学 2015-06-17 Tobias Zingg

The two-point correlation function for the zeros of Dirichlet L-functions at a height E on the critical line is calculated heuristically using a generalization of the Hardy-Littlewood conjecture for pairs of primes in arithmetic…

数学物理 · 物理学 2015-06-16 E. Bogomolny , J. P. Keating

In this paper we study the interior transmission problem and transmission eigenvalues for multiplicative perturbations of linear partial differential operator of order $\ge 2$ with constant real coefficients. Under suitable growth…

数学物理 · 物理学 2015-03-17 Michael Hitrik , Katsiaryna Krupchyk , Petri Ola , Lassi Päivärinta

We propose a simple parameterization of the two-point correlator of hadronic electromagnetic currents for the evaluation of the hadronic contributions to the muon anomalous magnetic moment. The parameterization is explicitly done in the…

高能物理 - 唯象学 · 物理学 2011-09-13 S. Groote , J. G. Körner , A. A. Pivovarov

Sensorless control of Permanent-Magnet Synchronous Motors at low velocity remains a challenging task. A now well-established method consists in injecting a high-frequency signal and use the rotor saliency, both geometric and…

最优化与控制 · 数学 2012-03-27 Al Kassem Jebai , François Malrait , Philippe Martin , Pierre Rouchon

Synchronization is an important dynamical phenomenon in coupled nonlinear systems, which has been studied extensively in recent years. However, analysis focused on individual orbits seems hard to extend to complex systems while a global…

混沌动力学 · 物理学 2021-01-04 Jing Hu , Yueheng Lan

In this paper, we introduce a new functional point of view on bilevel optimization problems for machine learning, where the inner objective is minimized over a function space. These types of problems are most often solved by using methods…

机器学习 · 统计学 2024-12-10 Ieva Petrulionyte , Julien Mairal , Michael Arbel

We investigate correlation functions in a periodic box-ball system. For the second and the third nearest neighbor correlation functions, we give explicit formulae obtained by combinatorial methods. A recursion formula for a specific…

可精确求解与可积系统 · 物理学 2011-03-22 Jun Mada , Tetsuji Tokihiro

We analyze the performance of alternating minimization for loss functions optimized over two variables, where each variable may be restricted to lie in some potentially nonconvex constraint set. This type of setting arises naturally in…

最优化与控制 · 数学 2019-02-26 Wooseok Ha , Rina Foygel Barber

Estimating the quality of a single-photon source is crucial for its use in quantum technologies. The standard test for semiconductor sources is a value of the second-order correlation function of the emitted field below $1/2$ at zero…

For analyzing anisotropic low relative-velocity correlation-functions and the associated emission sources, we propose an expansion in terms of cartesian spherical harmonics. The expansion coefficients represent angular moments of the…

核理论 · 物理学 2007-05-23 P. Danielewicz , S. Pratt

We analyze the random Euclidean bipartite matching problem on the hypertorus in $d$ dimensions with quadratic cost and we derive the two--point correlation function for the optimal matching, using a proper ansatz introduced by Caracciolo et…

无序系统与神经网络 · 物理学 2015-06-23 Sergio Caracciolo , Gabriele Sicuro

Communication systems aided by movable antennas have been the subject of recent research due to their potentially increased spatial degrees of freedom offered by optimizing the antenna positioning at the transmitter and/or receiver. In this…

We experimentally investigate the relative advantages of implementing weak-value-based metrology versus standard methods. While the techniques outlined herein apply more generally, we measure small optical beam deflections both using a…

We perform a systematic study of low-lying eigenmodes of $H_w$ with various gauge actions to find the optimal choice for dynamical overlap fermion simulations, with which one may achieve lower numerical cost for HMC and better locality…

高能物理 - 格点 · 物理学 2008-11-26 JLQCD Collaboration , N. Yamada , S. Aoki , H. Fukaya , S. Hashimoto , K-I. Ishikawa , K. Kanaya , T. Kaneko , H. Matsufuru , M. Okamoto , T. Onogi

This paper studies debiased machine learning when nuisance parameters appear in indicator functions. An important example is maximized average welfare gain under optimal treatment assignment rules. For asymptotically valid inference for a…

计量经济学 · 经济学 2025-03-18 Gyungbae Park