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Two photon amplitude of partially coherent partially entangled electromagnetic fields [article]

Miguel Angel Olvera, Sonja Franke-Arnold
2015 arXiv   pre-print
By using the generalised Siegert relations and the coherent mode representation of the cross spectral density matrix the two photon amplitude is fully characterised for partially coherent beams.  ...  Upper bounds for this measure are found in terms of the golden ratio for maximally entangled states.  ...  This property and the modal decomposition account for a complete characterization of the TPA in terms of coherent modes.  ... 
arXiv:1507.08623v1 fatcat:kwyy3haij5d2vgqgfw5ibwspgi

Target Detection With Semisupervised Kernel Orthogonal Subspace Projection

L. Capobianco, A. Garzelli, G. Camps-Valls
2009 IEEE Transactions on Geoscience and Remote Sensing  
The Orthogonal Subspace Projection (OSP) algorithm is substantially a kind of matched filter that requires the evaluation of a prototype for each class to be detected.  ...  The good performance of the proposed method is illustrated in a toy dataset, and two relevant hyperspectral image target detection applications: crop identification and thermal hot spot detection.  ...  For the Nyström method, two free parameters need to be tuned; m is the number of samples used to compute the approximate decomposition of the kernel matrix, and p is the number of demanded largest eigenvalues  ... 
doi:10.1109/tgrs.2009.2020910 fatcat:sb4bahh7rvh3ra6ve2cfu47cni

Using Kernel Methods in a Learning Machine Approach for Multispectral Data Classification. An Application in Agriculture [chapter]

Adrian Gonzalez, Jose Moreno, Graham Russell, Astrid Marquez
2009 Geoscience and Remote Sensing  
In particular, we focus on the practical applicability of learning machine methods to the task of inducting a relationship between the spectral response of farms land cover to their informational typology  ...  Generally, the complexity of this problem is related to the incorporation of spatial characteristics that are complementary to the nonlinearities of land surface heterogeneity, remote sensing effects and  ...  The advantages of MODIS are not restricted to its spatial resolution; its spectral resolution, 36 channels covering from visible to thermal infrared spectral regions, also presents some benefit compared  ... 
doi:10.5772/8307 fatcat:l3pb5jb4y5fsznupiealzwa72a

The Structure of Partially Coherent Fields [chapter]

G. Gbur, T.D. Visser
2010 Progress in optics  
"pseudo-modal" decomposition of the cross-spectral density.  ...  Such spectral changes were analyzed in James and Wolf (1991a,b) for both filtered and broadband thermal light. In the latter case, significant spectral changes may occur.  ... 
doi:10.1016/b978-0-444-53705-8.00005-9 fatcat:fnpduswwyvg6nhiveop4j2sblu

Support vector machines in remote sensing: A review

Giorgos Mountrakis, Jungho Im, Caesar Ogole
2011 ISPRS journal of photogrammetry and remote sensing (Print)  
This review is timely due to the exponentially increasing number of works published in recent years.  ...  A wide range of methods for analysis of airborne-and satellite-derived imagery continues to be proposed and assessed.  ...  of Excellence CARTI Program.  ... 
doi:10.1016/j.isprsjprs.2010.11.001 fatcat:6hx57jxaxvfxvjoqqmhk5puhty

Stochastic finite elements of discretely parameterized random systems on domains with boundary uncertainty

A. Kundu, S. Adhikari, M. I. Friswell
2014 International Journal for Numerical Methods in Engineering  
Following this, Section 7 demonstrates the proposed techniques for the spectral decomposition of the random field with numerical examples and error analysis.  ...  Section 3 presents the discussion on the discrete spectral decomposition of the covariance function.  ...  The results for the discrete spectral decomposition of the covariance kernel is presented in Section 7.1.  ... 
doi:10.1002/nme.4733 fatcat:qqjhuqyz4fepzk2y7jabasnhfi

Variational Inference at Glacier Scale [article]

Douglas J. Brinkerhoff
2021 arXiv   pre-print
We characterize the complete joint posterior distribution over spatially-varying basal traction and and ice softness parameters of an ice sheet model from observations of surface speed by using stochastic  ...  By placing a Gaussian process prior over the parameters and casting the problem in terms of eigenfunctions of a kernel, we gain substantial control over prior assumptions on parameter smoothness and length  ...  A Jupyter notebook that performs the ISMIP-HOM experiments and a series of scripts for reproducing the Helheim Glacier results are available at github.com/douglas-brinkerhoff/vi_at_glacier_scale.  ... 
arXiv:2108.07263v1 fatcat:7xr2h6olxbbjfoerkoyf4yzg4y

Robust multiple estimator systems for the analysis of biophysical parameters from remotely sensed data

L. Bruzzone, F. Melgani
2005 IEEE Transactions on Geoscience and Remote Sensing  
In this paper, an approach based on multiple estimator systems (MESs) for the estimation of biophysical parameters from remotely sensed data is proposed.  ...  In particular, a detailed experimental analysis on the effectiveness of SVMs for solving the considered estimation problem is presented.  ...  ACKNOWLEDGMENT The authors wish to thank Prof. G. Corsini (University of Pisa, Italy) for providing the simulated data of the MERIS sensor and Prof. S.  ... 
doi:10.1109/tgrs.2004.839818 fatcat:dusfhyhwmzb6ffpw7isdq27bqm

Hierarchical Bayesian models for inverse problems in heat conduction

Jingbo Wang, Nicholas Zabaras
2004 Inverse Problems  
The stabilization parameters are shown to be functions of the time-step size. Provision is made for explicit tracking of the subgrid-scale solution through time.  ...  A stabilized stochastic finite element implementation for the natural convection system of equations under Boussinesq assumptions with uncertainty in inputs is considered.  ...  By definition, R hh (y 1 , y 2 ) is continuous, positive semi-definite and hence has a spectral decomposition according to Mercer's theorem [27] as follows: R hh (y 1 , y 2 ) = ∞ n=1 λ n f n (y 1 )f  ... 
doi:10.1088/0266-5611/21/1/012 fatcat:7vosaouccfgkzdkgpxbhxbasi4

Spectral Bias and Task-Model Alignment Explain Generalization in Kernel Regression and Infinitely Wide Neural Networks [article]

Abdulkadir Canatar, Blake Bordelon, Cengiz Pehlevan
2021 arXiv   pre-print
This notion of simplicity allows us to characterize whether a kernel is compatible with a learning task, facilitating good generalization performance from a small number of training examples.  ...  We present applications of our theory to real and synthetic datasets, and for many kernels including those that arise from training deep neural networks in the infinite-width limit.  ...  We also thank the reviewers for their detailed and constructive feedback, and Jan Drugowitsch and Guillermo Valle-Perez for comments on the manuscript.  ... 
arXiv:2006.13198v5 fatcat:xawvdj3sf5eofk6uws4o72wzbq

A Hilbert-space formulation of and variational principle for spontaneous wiggler radiation [article]

A.E. Charman, J.S. Wurtele
2005 arXiv   pre-print
The techniques were developed within the context of undulator radiation from relativistic electron beams, but are more broadly applicable.  ...  Within the framework of Hilbert space theory, we derive a maximum-power variational principle applicable to classical spontaneous radiation from prescribed harmonic current sources.  ...  This research was supported by the Division of High Energy Physics, U.S. Department of Energy, and by DARPA, U.S. Department of Defense.  ... 
arXiv:physics/0501018v1 fatcat:e7fjgx5pm5g3zhnvlr5enxlfkm

Modern Applied Science, Vol. 3, No. 12, December, 2009

Editor MAS
2009 Modern Applied Science  
Acknowledgements Thanks are due to the Ministry of Higher Education of Malaysia for grants (UKM-GUP-NBT-08-27-112, UKM-ST-01-FRGS0022-2006) and members of staff of faculty of science and Technology and  ...  This paper has provided evidence for the impact of remote biomass burning and forest fire on Carbon Dioxide pollution levels above study area and enhanced our knowledge on AIRS detection of CO 2 emission  ...  The AIRS instrument, includes 2378 infrared spectral channels provides spectral coverage in the 3.74-4.61 m, 6.20-8.22 m, and 8.8-15.4 m infrared wavebands at a nominal spectral resolution of ⁄ =1200.  ... 
doi:10.5539/mas.v3n12p0 fatcat:7mgcusxchjh3rlfwhv6xex6zqe

Kernel Methods and their derivatives: Concept and perspectives for the Earth system sciences [article]

J. Emmanuel Johnson, Valero Laparra, Adrián Pérez-Suay, Miguel D. Mahecha, Gustau Camps-Valls
2020 arXiv   pre-print
For all cases we expressed the derivative of the learned function as a linear combination of the kernel function derivative.  ...  for density estimation, and the Hilbert-Schmidt Independence Criterion for estimating the dependency between random variables.  ...  The f 2 H has a straight line because the 'optimal' parameter for using the norm of the weights for regularization has already been chosen.  ... 
arXiv:2007.14706v2 fatcat:h4mcvkyrd5derm4kfnlloaziky

Provably efficient machine learning for quantum many-body problems [article]

Hsin-Yuan Huang, Richard Kueng, Giacomo Torlai, Victor V. Albert, John Preskill
2022 arXiv   pre-print
many properties of the state.  ...  Hamiltonians in the same quantum phase of matter.  ...  Department of Energy Office of Science, Office of Advanced Scientific Computing Research, (DE-NA0003525, DE-SC0020290), and the National Science Foundation (PHY-1733907).  ... 
arXiv:2106.12627v3 fatcat:k476uj2s7jaa7f3hc4n2j64pgm

Kernel methods and their derivatives: Concept and perspectives for the earth system sciences

J. Emmanuel Johnson, Valero Laparra, Adrián Pérez-Suay, Miguel D. Mahecha, Gustau Camps-Valls, Qichun Zhang
2020 PLoS ONE  
For all cases we expressed the derivative of the learned function as a linear combination of the kernel function derivative.  ...  for density estimation, and the Hilbert-Schmidt Independence Criterion for estimating the dependency between random variables.  ...  The k f k 2 H has a straight line because the 'optimal' parameter for using the norm of the weights for regularization has already been chosen.  ... 
doi:10.1371/journal.pone.0235885 pmid:33119617 fatcat:kaucu2zmcvclblxixmdesghwja
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