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In computer graphics and engineering, nonlinear elastic material properties of 3D volumetric solids are typically adjusted by selecting a material family, such as St. Venant Kirchhoff, Linear Corotational, (Stable) Neo-Hookean, Ogden, etc.,…

图形学 · 计算机科学 2024-12-30 Huanyu Chen , Jernej Barbic

In this paper, we present a novel tolerance allocation algorithm for the assessment and control of geometric variation on system performance that is applicable to any system of partial differential equations. In particular, we parameterize…

数值分析 · 数学 2019-04-16 Joseph Benzaken , Alireza Doostan , John A. Evans

The probabilistic shaping scheme from Honda and Yamamoto (2013) for polar codes is used to enable power-efficient signaling for on-off keying (OOK). As OOK has a non-symmetric optimal input distribution, shaping approaches that are based on…

信息论 · 计算机科学 2019-07-22 Thomas Wiegart , Fabian Steiner , Patrick Schulte , Peihong Yuan

Probabilistic amplitude shaping (PAS) can flexibly vary the spectral efficiency (SE) of fiber-optic systems. In this paper, we demonstrate the application of PAS to bit-wise hard decision decoding (HDD) of product codes (PCs) by finding the…

信息论 · 计算机科学 2020-08-17 Alireza Sheikh , Alexandre Graell i Amat , Alex Alvarado

Using a novel geometrically-shaped four-dimensional modulation format, we transmitted 11x200 Gbit/s DWDM at 4.8 bit/4D-sym over 7,925 km and 11,700 km using EDFA-only and hybrid amplification, respectively. A reach increase of 16% is…

信号处理 · 电气工程与系统科学 2020-06-08 Sjoerd van der Heide , Bin Chen , Menno van den Hout , Gabriele Liga , Ton Koonen , Hartmut Hafermann , Alex Alvarado , Chigo Okonkwo

We present numerical results for the nonplanar lightlike cusp and collinear anomalous dimension at four loops in ${\mathcal N} = 4$ SYM theory, which we infer from a calculation of the Sudakov form factor. The latter is expressed as a…

高能物理 - 理论 · 物理学 2017-12-21 Rutger H. Boels , Tobias Huber , Gang Yang

Nonlinear optics of structured light has recently delivered intriguing fundamental physical phenomena in light-matter interactions and advanced applications from classical imaging to quantum informatics. The mutual interaction between spin,…

光学 · 物理学 2023-05-03 Jing Pan , Hao Wang , Zijian Shi , Yijie Shen , Xing Fu , Qiang Liu

The output of physical systems is often accessible by measurements such as the 3D position of a robotic arm actuated by many actuators or the speckle patterns formed by shining the spot of a laser pointer on a wall. The selection of the…

This paper is devoted to developing the alternating minimization algorithm for problems of structured nonconvex optimization proposed by Attouch, Bolt\'e, Redont, and Soubeyran in 2010. Our main result provides significant improvements of…

最优化与控制 · 数学 2026-02-02 Glaydston C. Bento , Boris S. Mordukhovich , Tiago S. Mota , Antoine Soubeyran

We consider the shape-topological control of a singularly perturbed variational inequality. The geometry-dependent state problem that we address in this paper concerns a heterogeneous medium with a micro-object (defect) and a macro-object…

最优化与控制 · 数学 2018-10-22 Victor A. Kovtunenko , Günter Leugering

By rearrangements of waveguide arrays with gain and losses one can simulate transformations among parity-time (PT-) symmetric systems not affecting their pure real linear spectra. Subject to such transformations, however, the nonlinear…

斑图形成与孤子 · 物理学 2012-05-29 D. A. Zezyulin , V. V. Konotop

The cosmological fluid equations are used to study the nonlinear mode coupling of density fluctuations. We find that for realistic cosmological spectra there is a significant contribution to the nonlinear evolution on scales of interest to…

天体物理学 · 物理学 2007-05-23 Bhuvnesh Jain , Edmund Bertschinger

Proposals for nonlinear extenstions of quantum mechanics are discussed. Two different concepts of "mixed state" for any nonlinear version of quantum theory are introduced: (i) >genuine mixture< corresponds to operational "mixing" of…

量子物理 · 物理学 2012-12-07 Pavel Bona

The mutual information of bit-interleaved coded modulation (BICM) systems, sometimes called the BICM capacity, is investigated at low signal-to-noise ratio (SNR), i.e., in the wideband regime. A new linear transform that depends on bits'…

信息论 · 计算机科学 2014-04-23 Erik Agrell , Alex Alvarado

Band-trellis enumerative sphere shaping is proposed to decrease the energy variations in channel input sequences. Against sphere shaping, 0.74 dB SNR gain and up to 9% increase in data rates are demonstrated for single-span systems.

信号处理 · 电气工程与系统科学 2022-01-11 Yunus Can Gültekin , Alex Alvarado , Olga Vassilieva , Inwoong Kim , Paparao Palacharla , Chigo Okonkwo , Frans M. J. Willems

In this paper, the performance of different structural models based on global approach in evaluating the static response of curvilinear fibre composite laminates is analyzed. A Co shear flexible Quad-8 element developed based on…

材料科学 · 物理学 2014-07-29 Anand Venkatachari , Sundararajan Natarajan , K Ramajeyathilagam , M Ganapathi

Nonlinear observer design for systems whose state space evolves on Lie groups is considered. The proposed method is similar to previously developed nonlinear observers in that it involves propagating the state estimate using a process model…

系统与控制 · 计算机科学 2018-04-10 David Evan Zlotnik , James Richard Forbes

Recently, a metric called energy dispersion index (EDI) was proposed to indicate the nonlinear interference (NLI) induced by correlated symbols during optical transmission. In this paper, we propose a new shaper architecture to decrease the…

信号处理 · 电气工程与系统科学 2022-02-23 Kaiquan Wu , Gabriele Liga , Alireza Sheikh , Yunus Can Gültekin , Frans M. J. Willems , Alex Alvarado

We examine nonlinear dynamical systems of ordinary differential equations or differential algebraic equations. In an uncertainty quantification, physical parameters are replaced by random variables. The inner variables as well as a quantity…

数值分析 · 数学 2019-04-15 Roland Pulch

For 200Gbit/s net rates, uniform PAM-4, 6 and 8 are experimentally compared against probabilistic shaped PAM-8 cap and cup variants. In back-to-back and 20km measurements, cap shaped 80GBd PAM-8 outperforms 72GBd PAM-8 and 83GBd PAM-6 by up…