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This paper gives lower and upper bounds on the covering radius of codes over $\Z_{2^s}$ with respect to homogenous distance. We also determine the covering radius of various Repetition codes, Simplex codes (Type $\alpha$ and Type $\beta$)…

信息论 · 计算机科学 2012-06-26 Manish. K. Gupta , C. Durairajan

Fibre modal noise occurs in high spectral resolution, high signal-to-noise applications. It imposes fundamental limits on the photometric accuracy of state-of-the-art fibre-spectrograph systems. In order to maximize the performance of…

天体物理仪器与方法 · 物理学 2015-05-28 U. Lemke , J. Corbett , J. Allington-Smith , G. Murray

An important issue in neural network research is how to choose the number of nodes and layers such as to solve a classification problem. We provide new intuitions based on earlier results by An et al. (2015) by deriving an upper bound on…

机器学习 · 统计学 2018-02-13 Marjolein Troost , Katja Seeliger , Marcel van Gerven

In conventional diffraction theory, a subwavelength period is considered a prerequisite to achieve interesting resonance-assisted physical phenomena, such as bound states in the continuum and diverse zero-order spectral responses with…

光学 · 物理学 2021-04-06 Sun-Goo Lee , Seong-Han Kim , Chul-Sik Kee

The study of the resonances of the Helmholtz resonator has been broadly described in previous works. Here, for a simple tube-shaped two dimensional resonator, we can perform a careful analysis of the transition zone where oscillations start…

谱理论 · 数学 2011-06-07 Andre Martinez , Laurence Nedelec

Modulation instability is a phenomenon of spontaneous pattern formation in nonlinear media, oftentimes leading to an unpredictable behaviour and a degradation of a signal of interest. We propose an approach based on reinforcement learning…

斑图形成与孤子 · 物理学 2024-07-24 Nikolay Kalmykov , Rishat Zagidullin , Oleg Rogov , Sergey Rykovanov , Dmitry V. Dylov

Here we show psychophysical study of second-order visual mechanisms sensitive to the orientation modulations. Selectivity to orientation, phase and spatial frequency of modulation is measured. Bandwidths for phase (0,5{\pi}) and orientation…

神经元与认知 · 定量生物学 2013-03-05 V. V. Babenko , M. M. Miftakhova , D. V. Yavna

We make two contributions to the problem of estimating the $L_1$ calibration error of a binary classifier from a finite dataset. First, we provide an upper bound for any classifier where the calibration function has bounded variation.…

The constraint of a progressive decrease in residual renormalization scale dependence with increasing loop order is developed as a method for obtaining bounds on unknown higher-order perturbative corrections to renormalization-group…

高能物理 - 唯象学 · 物理学 2015-06-25 M. R. Ahmady , F. A. Chishtie , V. Elias , A. H. Fariborz , D. G. C. McKeon , T. N. Sherry , T. G. Steele

We explore theoretically the optical response properties in an optomechanical system under electromagneti- cally induced transparency condition but with the mechanical resonator being driven by an additional coherent field. In this…

量子物理 · 物理学 2017-11-08 W. Z. Jia , L. F. Wei , Yong Li , Yu-xi Liu

We study the superfluid response of a dilute bosonic fluid in the presence of two-dimensional composite potentials (such as triangular, Kagom\'e and quasiperiodic potentials, or superlattices), which may be obtained for example by…

量子气体 · 物理学 2026-04-01 Daniel Pérez-Cruz , Grigori E. Astrakharchik , Pietro Massignan

In this paper, we quantitatively analyzed the trade-off between energy per bit for switching and modulation bandwidth of classical electro-optic modulators. A formally simple energy-bandwidth limit (Eq. 10) is derived for electro-optic…

光学 · 物理学 2013-12-09 Hongtao Lin , Okechukwu Ogbuu , Jifeng Liu , Lin Zhang , Jurgen Michel , Juejun Hu

We revisit the problem of modulation instability (MI) in optical fibers, including higher-order dispersion terms, self-steepening, and Raman response. We derive expressions for the MI gain and use them to explore the role of self-steepening…

光学 · 物理学 2016-05-09 Santiago M. Hernandez , Pablo I. Fierens , Juan Bonetti , Diego F. Grosz

Off-diagonal upper bounds are established away from the diagonal for the Bergman kernels associated to high powers of holomorphic line bundles over compact complex manifolds, asymptotically as the power tends to infinity. The line bundle is…

复变函数 · 数学 2013-08-02 Michael Christ

Optical limiters transmit low-level radiation while blocking electromagnetic pulses with excessively high energy (energy limiters) or with excessively high peak intensity (power limiters). A typical optical limiter absorbs most of the…

光学 · 物理学 2015-05-20 Eleana Makri , Tsampikos Kottos , Ilya Vitebskiy

Here we discuss the physics of electro-optic modulators deploying 2D materials. We include a scaling laws analysis showing how energy-efficiency and speed change for three underlying cavity systems as a function of critical device length…

介观与纳米尺度物理 · 物理学 2018-02-14 Zhizhen Ma , Rohit Hemnani , Ludwig Bartels , Ritesh Agarwal , Volker J. Sorger

Linear programming (polynomial) techniques are used to obtain lower and upper bounds for the potential energy of spherical designs. This approach gives unified bounds that are valid for a large class of potential functions. Our lower bounds…

度量几何 · 数学 2015-09-28 P. G. Boyvalenkov , P. D. Dragnev , D. P. Hardin , E. B. Saff , M. M. Stoyanova

Explanation methods shed light on the decision process of black-box classifiers such as deep neural networks. But their usefulness can be compromised because they are susceptible to manipulations. With this work, we aim to enhance the…

机器学习 · 计算机科学 2020-12-21 Ann-Kathrin Dombrowski , Christopher J. Anders , Klaus-Robert Müller , Pan Kessel

The 2 {\mu}m waveband is an area that could have significant technological consequences, with applications ranging from spectroscopy, LIDAR and free-space communications. The development of the thulium-doped fiber amplifier, hollow-core…

We numerically model fiber amplifier performance near and slightly above the mode instability threshold. These results are compared with recently published experimental work. Using weakly amplitude modulated pump light we obtain qualitative…

光学 · 物理学 2013-01-21 Arlee V. Smith , Jesse J. Smith