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Quadratic distances on probabilities: A unified foundation

Bruce G. Lindsay, Marianthi Markatou, Surajit Ray, Ke Yang, Shu-Chuan Chen
2008 Annals of Statistics  
This work builds a unified framework for the study of quadratic form distance measures as they are used in assessing the goodness of fit of models.  ...  Additionally, we develop a new notion, the spectral degrees of freedom of the test, based on this decomposition.  ...  We propose a unified framework for the study of quadratic distance measures. The spectral decomposition of the kernel that generates the distance is the central idea of the study.  ... 
doi:10.1214/009053607000000956 fatcat:uahfyidujza4pl6a5cs6eiuhk4

Page 3244 of American Society of Civil Engineers. Collected Journals Vol. 120, Issue 11 [page]

1994 American Society of Civil Engineers. Collected Journals  
To provide a unified framework for the parameter-estimation problem we cast the problem as a constrained nonlinear least-squares problem and use the recursive quadratic programming method as our gradient  ...  In the present paper a general framework is developed for the static parameter estimation problem as a constrained, nonlinear minimization of the difference between the response of the real structure and  ... 

Unifying Species Diversity, Phylogenetic Diversity, Functional Diversity, and Related Similarity and Differentiation Measures Through Hill Numbers

Anne Chao, Chun-Huo Chiu, Lou Jost
2014 Annual Review of Ecology, Evolution and Systematics  
This framework unifies ecologists' measures of species diversity, phylogenetic diversity, and distance-based functional diversity.  ...  It also provides a unified method of decomposing these diversities and constructing normalized taxonomic, phylogenetic, and functional similarity and differentiation measures, including N-assemblage phylogenetic  ...  Thus, Hill numbers provide a unified framework for measuring and assessing virtually all aspects of biodiversity.  ... 
doi:10.1146/annurev-ecolsys-120213-091540 fatcat:dnzjrnn2afe5fgfbd6eoheff4i

Page 24 of Psychological Abstracts Vol. 93, Issue 1 [page]

2006 Psychological Abstracts  
—This article describes a new, unified framework for linear equating in a nonequivalent groups anchor test (NEAT) design.  ...  —Our aim is to construct a general mea- surement framework for analyzing the effects of measurement errors in multivariate measurement scales.  ... 

UniHIST: A unified framework for image restoration with marginal histogram constraints

Xing Mei, Weiming Dong, Bao-Gang Hu, Siwei Lyu
2015 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)  
In this paper, we introduce a new framework, Uni-HIST, to incorporate marginal histogram constraints into image restoration.  ...  The key idea of UniHIST is to minimize the discrepancy between the marginal histograms of the restored image and the reference histograms in pixel or gradient domains using the quadratic Wasserstein (W  ...  A notable property of the empirical W 2 measure is that it can be evaluated in the quadratic form of x.  ... 
doi:10.1109/cvpr.2015.7298999 dblp:conf/cvpr/MeiDHL15 fatcat:acpmddhzfvbabhnoybpemiskpi

Information Theoretical Estimators Toolbox [article]

Zoltan Szabo
2014 arXiv   pre-print
ITE also includes a prototype application in a central problem class of signal processing, independent subspace analysis and its extensions.  ...  , association measures, cross quantities, and kernels on distributions.  ...  offers a simple and unified framework to (i) easily construct new estimators from existing ones or from scratch, and (ii) transparently use the obtained estimators in information theoretical optimization  ... 
arXiv:1405.2106v1 fatcat:r5reqkcc2jc4dacxnzrknvpb6u

Unified dark energy and dust dark matter dual to quadratic purely kinetic K-essence

Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva
2016 European Physical Journal C: Particles and Fields  
model of unified dynamical dark energy and dust fluid dark matter, on one hand, and a specific quadratic purely kinetic "k-essence" gravity-matter model with special dependence of its coupling constants  ...  As shown in a previous paper, the pertinent scalar field dynamics provides an exact unified description of both dark energy via dynamical generation of a cosmological constant, and dark matter as a "dust  ...  We also thank the referees for useful remarks.  ... 
doi:10.1140/epjc/s10052-016-3938-7 fatcat:onswnlsbuvgs7l4z7dbohk5sra

EMPIRICAL LIKELIHOOD METHOD FOR FINITE POPULATIONS

CHANGBAO WU
2002 Recent Advances in Statistical Methods  
Major results are unified under the general framework of optimal estimation and model-calibration.  ...  Applications of the method to obtaining rangerestricted weights in regression estimators and estimation under measurement error models are also presented.  ...  Acknowledgments This research was supported by a grant from the Natural Sciences and Engineering Research Council of Canada. The author thanks Professor Randy R.  ... 
doi:10.1142/9781860949531_0030 fatcat:ykgoqljvxzf4da7oyjxk622e4u

Book announcements

1993 Discrete Applied Mathematics  
Chapter 5: A Functorial Framework for Unifying ihe Siruciured Models. Introduction. A Category of De-Marco like tasks. Other categories of structured models. Functors and freeness.  ...  Unified Description of Neural Algorithms for Time-Independent Pattern Recognition (U. Ramacher and B. Schiirmann). Design of a Is' Generation Neurocomputer (U. Ramacher, J. Beichter, W.  ... 
doi:10.1016/0166-218x(93)90117-7 fatcat:mo4kjmd2czdg5hejcof7fmm6u4

Page 1091 of Mathematical Reviews Vol. , Issue 98B [page]

1998 Mathematical Reviews  
Using further suitable conditions, a formula for the density of 7,, with respect to m-dimensional Lebesgue measure is presented.  ...  others with respect to (a) linear estimation, (b) quadratic estimation and (c) quadratic estimation of variance components.  ... 

Trait Probability Density (TPD): measuring functional diversity across scales based on trait probability density with R

Carlos P. Carmona, Francesco de Bello, Norman WH Mason, Jan Lepš
2019 Ecology  
By doing so, the TPD approach reconciles existing methods for estimating FD within a unifying framework, allowing FD to be partitioned seamlessly across multiple scales (from individuals to species, and  ...  The TPD framework has the potential to unify and expand analyses of functional ecology across scales, capturing the probabilistic and multidimensional nature of FD.  ...  With this in mind, we want to emphasize that we do not consider the TPD framework to be a definitive and closed collection of methods, but rather the first step towards a unified framework that accommodates  ... 
doi:10.1002/ecy.2876 pmid:31471976 fatcat:xwk7zua2abf57kjjtdhzwouwee

Mood and motor trajectories in Parkinson's disease: Multivariate latent growth curve modeling

Laura B. Zahodne, Michael Marsiske, Michael S. Okun, Ramon L. Rodriguez, Irene Malaty, Dawn Bowers
2012 Neuropsychology  
Objective-Apathy is a common feature of Parkinson's disease (PD) that can manifest independently of depression, but little is known about its natural progression in medicallymanaged patients.  ...  modeling framework.  ...  A preliminary version of this work was presented at the 39 th annual meeting of the International Neuropsychological Society in Boston, MA. The authors acknowledge the assistance of Ms.  ... 
doi:10.1037/a0025119 pmid:22142359 pmcid:PMC3296901 fatcat:nhfsdu6fv5dcped6ol57c2rxmi

Page 4012 of Mathematical Reviews Vol. , Issue 89G [page]

1989 Mathematical Reviews  
In this paper the eminent author presents a general framework for unifying the analysis of qualitative and quantitative data by constructing measures of diversity which are applicable to both types of  ...  The author thus stud- ies interesting properties of measures of diversity in general and presents the characterization of his Rao quadratic entropy.  ... 

A Lego System for Conditional Inference

Torsten Hothorn, Kurt Hornik, Mark A van de Wiel, Achim Zeileis
2006 American Statistician  
A new theoretical framework for permutation tests opens up the way to a unified and generalized view.  ...  We argue that the transfer of such a theory to practical data analysis has important implications in many applications and requires tools that enable the data analyst to compute on the theoretical concepts  ...  This unifying theory is based on a flexible form of multivariate linear statistics for the general independence problem.  ... 
doi:10.1198/000313006x118430 fatcat:as6tgo2il5dwtkagcmht5ua3xe

A unifying quantitative framework for exploring the multiple facets of microbial biodiversity across diverse scales

Arthur Escalas, Thierry Bouvier, Maud A. Mouchet, Fabien Leprieur, Corinne Bouvier, Marc Troussellier, David Mouillot
2013 Environmental Microbiology  
We propose a unified quantitative framework based on the Rao quadratic entropy, to obtain an additive decomposition of diversity (γ = α + β), so the three components can be compared, and that integrate  ...  Current measures of microbial diversity, derived from several approaches, provide complementary but different views.  ...  Authors would like to thank Alison Duncan for improving the English language of this manuscript, and two anonymous reviewers for insightful comments on this manuscript.  ... 
doi:10.1111/1462-2920.12156 pmid:23731353 fatcat:3lqmykqhw5gbxfmsfk62b7stw4
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