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Large-scale modern data often involves estimation and testing for high-dimensional unknown parameters. It is desirable to identify the sparse signals, ``the needles in the haystack'', with accuracy and false discovery control. However, the…

机器学习 · 计算机科学 2021-11-08 Junhui Cai , Xu Han , Ya'acov Ritov , Linda Zhao

We introduce a versatile numerical method for modeling light diffraction in periodically patterned photonic structures containing quadratically nonlinear non-centrosymmetric optical materials. Our approach extends the generalized source…

光学 · 物理学 2015-06-23 Martin Weismann , Dominic F. G. Gallagher , Nicolae C. Panoiu

The recent advances in modelling nonlinear interference of systems operating beyond the C-band are discussed. Estimation accuracy as well as computational complexity of current approaches are compared and addressed.

信号处理 · 电气工程与系统科学 2019-05-08 Daniel Semrau , Robert I. Killey , Polina Bayvel

Normals with unknown variance (NUV) and, more generally, normals with unknown parameters (NUP) can represent many useful priors including L_p norms and other sparsifying priors, and they blend well with linear-Gaussian models and Gaussian…

最优化与控制 · 数学 2025-01-28 Raphael Keusch , Hans-Andrea Loeliger

We compare the non-linear matter power spectrum in real space calculated analytically from 3rd-order perturbation theory with N-body simulations at 1<z<6. We find that the perturbation theory prediction agrees with the simulations to better…

天体物理学 · 物理学 2010-11-11 Donghui Jeong , Eiichiro Komatsu

This paper introduces a method for predicting the likely behaviors of continuous nonlinear systems in equilibrium in which the input values can vary. The method uses a parameterized equation model and a lower bound on the input joint…

系统与控制 · 计算机科学 2013-04-10 Alexander Yeh

We consider the problem of estimating a Fourier-sparse signal from noisy samples, where the sampling is done over some interval $[0, T]$ and the frequencies can be "off-grid". Previous methods for this problem required the gap between…

数据结构与算法 · 计算机科学 2016-09-07 Xue Chen , Daniel M. Kane , Eric Price , Zhao Song

This paper describes the demonstration of linearly polarized picosecond pulse shaping with variable profiles including symmetric and non-symmetric intensity distributions. Important characteristics such as stability and transmission were…

光学 · 物理学 2019-01-21 Fangming Liu , Senlin Huang , Kexin Liu , Shukui Zhang

A new technique is introduced to reconstruct a nonlinear stochastic model of the cardiorespiratory interaction. Its inferential framework uses a set of polynomial basis functions representing the nonlinear force governing the system…

数据分析、统计与概率 · 物理学 2009-11-11 V. N. Smelyanskiy , D. G. Luchinsky , A. Stefanovska , P. V. E. McClintock

Power line interference may severely corrupt neural recordings at 50/60 Hz and harmonic frequencies. In this paper, we present a robust and computationally efficient algorithm for removing power line interference from neural recordings. The…

系统与控制 · 计算机科学 2014-03-25 Mohammad Reza Keshtkaran , Zhi Yang

Standard noise radars, as well as noise-type radars such as quantum two-mode squeezing radar, are characterized by a covariance matrix with a very specific structure. This matrix has four independent parameters: the amplitude of the…

信号处理 · 电气工程与系统科学 2022-08-10 David Luong , Bhashyam Balaji , Sreeraman Rajan

Intra prediction is an important component of modern video codecs, which is able to efficiently squeeze out the spatial redundancy in video frames. With preceding pixels as the context, traditional intra prediction schemes generate linear…

计算机视觉与模式识别 · 计算机科学 2019-05-28 Yueyu Hu , Wenhan Yang , Mading Li , Jiaying Liu

Neutrino oscillations encode fundamental information about neutrino masses and mixing parameters, offering a unique window into physics beyond the Standard Model. Estimating these parameters from oscillation probability maps is, however,…

高能物理 - 唯象学 · 物理学 2026-03-25 Giorgio Morales , Gregory Lehaut , Antonin Vacheret , Frederic Jurie , Jalal Fadili

The measurement of non-zero polarization can be used to infer the presence of departures from spherical symmetry in supernovae (SNe). The origin of the majority of the intrinsic polarization observed in SNe is in electron scattering, which…

太阳与恒星天体物理 · 物理学 2023-09-01 J. R. Maund

This paper presents a novel approach for estimating the modes of an observed non-stationary mixture signal. A link is first established between the short-time Fourier transform and the sparse sampling theory, where the observations are…

数值分析 · 数学 2022-12-23 Quentin Legros , Dominique Fourer

Linear and nonlinear distortions in optical communication signals are equalized using an integrated feed-forward Photonic Neural Network (PNN). The PNN is based on a linear stage made of an 8-tap Finite Impulse Response (FIR) filter,…

光学 · 物理学 2025-07-21 Emiliano Staffoli , Elisabetta Ferri , Stefano Gretter , Lorenzo Pavesi

In this thesis the creation of nonlinear interference noise (NLIN) in the context of impairment aware flexible optical networks is investigated to estimate transmission quality. In particular, the nonlinear interference of neighboring…

信号处理 · 电气工程与系统科学 2020-12-14 Joschua Dilly

We expand on our previous study of the impact of atmospheric seeing on polarization cross-talk, and show how the formalism that was developed in that work can be applied to treat the case of spatial modulators of polarization. Beside…

天体物理仪器与方法 · 物理学 2026-02-17 Roberto Casini , Alfred G. de Wijn

Derived from the regular perturbation treatment of the nonlinear Schrodinger equation, a machine learning-based scheme to mitigate the intra-channel optical fiber nonlinearity is proposed. Referred to as the perturbation theory-aided (PA)…

信号处理 · 电气工程与系统科学 2022-04-06 Xiang Lin , Shenghang Luo , Sunish Kumar Orappanpara Soman , Octavia A. Dobre , Lutz Lampe , Deyuan Chang , Chuandong Li

This paper proposes a distributed prescribed-time observer for nonlinear systems representable in a block-triangular observable canonical form. Using a weighted average of neighbor estimates exchanged over a strongly connected digraph, each…

系统与控制 · 电气工程与系统科学 2025-04-15 Vincent de Heij , M. Umar B. Niazi , Karl H. Johansson , Saeed Ahmed