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The success of non-linear optics relies largely on pulse-to-pulse consistency. In contrast, covariance based techniques used in photoionization electron spectroscopy and mass spectrometry have shown that wealth of information can be…

Sparse latent multi-factor models have been used in many exploratory and predictive problems with high-dimensional multivariate observations. Because of concerns with identifiability, the latent factors are almost always assumed to be…

应用统计 · 统计学 2013-12-09 Vinicius Diniz Mayrink , Joseph Edward Lucas

In dealing with high-dimensional data, factor models are often used for reducing dimensions and extracting relevant information. The spectrum of covariance matrices from power data exhibits two aspects: 1) bulk, which arises from random…

应用统计 · 统计学 2019-10-22 Xin Shi , Robert Qiu

In this article, a previously published amplifier-less potentiostat architecture is further examined. Starting with a linearized model, the impact of the most important parameters is studied taking in account the electrodes-solution…

系统与控制 · 电气工程与系统科学 2025-04-30 Andrea Sannino , David-Peter Wiens , Maurits Ortmanns , José I. Artigas , Aránzazu Otín

Laser induced breakdown spectroscopy technique is employed for quantitative analysis of aluminum samples by different classical machine learning approaches. A Q-switch Nd:YAG laser at fundamental harmonic of 1064 nm is utilized for creation…

数据分析、统计与概率 · 物理学 2023-04-18 Mohsen Rezaei , Fatemeh Rezaei , Parvin Karimi

We present a review of two methods used to model recent LCLS experimental results for the 3C/3D line intensity ratio of Fe XVII (Bernitt et al. 2012), the time-dependent collisional-radiative method and the density-matrix approach. These…

原子物理 · 物理学 2017-10-11 Y. Li , M. Fogle , S. D. Loch , C. P. Ballance , C. J. Fontes

A new method for analyzing high-dimensional categorical data, Linear Latent Structure (LLS) analysis, is presented. LLS models belong to the family of latent structure models, which are mixture distribution models constrained to satisfy the…

概率论 · 数学 2007-06-13 Mikhail Kovtun , Igor Akushevich , Kenneth G. Manton , H. Dennis Tolley

This paper presents a spectra normalization method for laser-induced breakdown spectroscopy (LIBS) measurements by converting the recorded characteristic line intensity at varying conditions to the intensity under a standard condition with…

等离子体物理 · 物理学 2015-05-28 Zhe Wang , Lizhi Li , Logan West , Zheng Li , Weidou Ni

We propose Mixed-Panels-Transformer Encoder (MPTE), a novel framework for estimating factor models in panel datasets with mixed frequencies and nonlinear signals. Traditional factor models rely on linear signal extraction and require…

计量经济学 · 经济学 2026-01-26 Alessio Brini , Ekaterina Seregina

Laser-plasma based experiments are always more demanding about the plasma features which need to be generated during the interaction. This is valid for laser-plasma acceleration as well as for inertial confinement fusion experiments. Most…

等离子体物理 · 物理学 2025-09-03 F. Filippi , M. Cipriani , S. Mastrostefano , M. Scisciò , F. Consoli

The novel thermally degenerate plasma model (based on a system containing relativistically and thermally degenerate inertial-less electron species, non-relativistically and thermally degenerate inertial light nucleus species, and stationary…

等离子体物理 · 物理学 2020-10-28 A. A. Mamun , J. Akter

The impact of nonadiabatic laser-induced molecular alignment on filamentation is numerically studied. Weak and strong field model of impulsive molecular alignment are compared in the context of nonlinear pulse propagation. It is shown that…

光学 · 物理学 2014-12-03 N. Berti , P. Béjot , J. -P. Wolf , O. Faucher

In a previous Letter [Phys. Rev. Lett. 96, 123401 (2006)] we have shown by means of three-dimensional particle-in-cell simulations and a simple rigid-sphere model that nonlinear resonance absorption is the dominant collisionless absorption…

原子与分子团簇 · 物理学 2009-11-13 M. Kundu , D. Bauer

Precise representation of large-scale undirected network is the basis for understanding relations within a massive entity set. The undirected network representation task can be efficiently addressed by a symmetry non-negative latent factor…

机器学习 · 计算机科学 2022-03-09 Weiling Li , Xin Luo

Nonlinear dynamic models are widely used for characterizing functional forms of processes that govern complex biological pathway systems. Over the past decade, validation and further development of these models became possible due to data…

统计方法学 · 统计学 2019-08-13 Itai Dattner , Shota Gugushvili , Harold Ship , Eberhard O. Voit

We characterize the practical receiver in a wide range of signal intensity for optical wireless communication, from discrete pulse regime to continuous waveform regime. We first propose a statistical non-linear model based on the…

信息论 · 计算机科学 2020-02-10 Zhimeng Jiang , Chen Gong , Zhengyuan Xu

The operating status of power systems is influenced by growing varieties of factors, resulting from the developing sizes and complexity of power systems; in this situation, the modelbased methods need be revisited. A data-driven method, as…

统计方法学 · 统计学 2016-07-07 Xinyi Xu , Xing He , Qian Ai , Robert C. Qiu

Nonlinear mixed effects models represent a powerful tool to simultaneously analyze data from several individuals. In this study a compartmental model of leucine kinetics is examined and extended with a stochastic differential equation to…

定量方法 · 定量生物学 2011-01-05 Martin Berglund , Mikael Sunnåker , Martin Adiels , Mats Jirstrand , Bernt Wennberg

High-dimensional data often exhibit variation that can be captured by lower dimensional factors. For high-dimensional data from multiple studies or environments, one goal is to understand which underlying factors are common to all studies,…

机器学习 · 统计学 2026-01-27 Gemma E. Moran , Anandi Krishnan

Nonlocal models, including peridynamics, often use integral operators that embed lengthscales in their definition. However, the integrands in these operators are difficult to define from the data that are typically available for a given…

材料科学 · 物理学 2022-01-05 Huaiqian You , Yue Yu , Stewart Silling , Marta D'Elia