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eigenangles.bib 29 KB

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  184. issn = {1662-453X},
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  296. }
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  332. pmid = {16378515},
  333. }
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  338. journal = {Bernoulli},
  339. volume = {6},
  340. number = {1},
  341. pages = {113--167},
  342. publisher = {{International Statistical Institute (ISI) and Bernoulli Society for Mathematical Statistics and Probability}},
  343. issn = {1350-7265},
  344. doi = {10.2307/3318636},
  345. abstract = {Let \$H\textbackslash colon L\_\{2\}(S,\textbackslash scr\{I\},P)\textbackslash mapsto L\_\{2\}(S,\textbackslash scr\{I\},P)\$ be a compact integral operator with a symmetric kernel h. Let Xi, i{$\in$} N, be independent S-valued random variables with common probability law P. Consider the n \texttimes{} n matrix {\~H}n with entries n-1h(Xi,Xj), 1 {$\leq$} i, j {$\leq$} n (this is the matrix of an empirical version of the operator H with P replaced by the empirical measure Pn), and let Hn denote the modification of {\~H}n, obtained by deleting its diagonal. It is proved that the l2 distance between the ordered spectrum of Hn and the ordered spectrum of H tends to zero a.s. if and only if H is Hilbert-Schmidt. Rates of convergence and distributional limit theorems for the difference between the ordered spectra of the operators Hn (or {\~H}n) and H are also obtained under somewhat stronger conditions. These results apply in particular to the kernels of certain functions H = {$\varphi$}(L) of partial differential operators L (heat kernels, Green functions).},
  346. }
  347. @article{Krzanowski1979_703a,
  348. title = {Between-{{Groups Comparison}} of {{Principal Components}}},
  349. author = {Krzanowski, W. J.},
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  351. month = sep,
  352. journal = {Journal of the American Statistical Association},
  353. volume = {74},
  354. number = {367},
  355. pages = {703--707},
  356. publisher = {{Taylor \& Francis}},
  357. issn = {0162-1459},
  358. doi = {10.1080/01621459.1979.10481674},
  359. abstract = {A method is given for comparing principal component analyses conducted on the same variables in two different groups of individuals, and an extension to the case of more than two groups is outlined. The technique leads to a latent root and vector problem, which has also arisen in the comparison of factor patterns in separate factor analyses. Emphasis in the present article is on the underlying geometry and interpretation of the results. An illustrative example is provided.},
  360. keywords = {Analytical rotation,Congruence coefficient,Latent roots and vectors,Principal component analysis},
  361. annotation = {\_eprint: https://www.tandfonline.com/doi/pdf/10.1080/01621459.1979.10481674},
  362. }
  363. @article{Krzanowski1990_81,
  364. title = {Between-Group Analysis with Heterogeneous Covariance Matrices: {{The}} Common Principal Component Model},
  365. shorttitle = {Between-Group Analysis with Heterogeneous Covariance Matrices},
  366. author = {Krzanowski, W. J.},
  367. year = {1990},
  368. month = mar,
  369. journal = {Journal of Classification},
  370. volume = {7},
  371. number = {1},
  372. pages = {81--98},
  373. issn = {1432-1343},
  374. doi = {10.1007/BF01889705},
  375. langid = {english},
  376. keywords = {Between-group analysis,Canonical variate analysis,Common principal component model,Eigenvalues and eigenvectors,Matusita distance between populations,Metric scaling,Principal component analysis}
  377. }
  378. @article{Kuczala2016_050101,
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  388. }
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  390. @article{Kullback1951_79,
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  392. title = {On {{Information}} and {{Sufficiency}}},
  393. author = {Kullback, S. and Leibler, R. A.},
  394. year = {1951},
  395. journal = {The Annals of Mathematical Statistics},
  396. volume = {22},
  397. number = {1},
  398. pages = {79--86},
  399. publisher = {{Institute of Mathematical Statistics}},
  400. issn = {0003-4851},
  401. doi = {10.1214/aoms/1177729694},
  402. }
  403. =======
  404. >>>>>>> refs/remotes/origin/synced/master
  405. @article{Litwin-Kumar2012_1498,
  406. title = {Slow Dynamics and High Variability in Balanced Cortical Networks with Clustered Connections},
  407. author = {{Litwin-Kumar}, Ashok and Doiron, Brent},
  408. year = {2012},
  409. month = nov,
  410. journal = {Nature neuroscience},
  411. volume = {15},
  412. number = {11},
  413. pages = {1498--1505},
  414. issn = {1097-6256},
  415. doi = {10.1038/nn.3220},
  416. pmcid = {PMC4106684},
  417. pmid = {23001062},
  418. }
  419. @article{Marcenko1967_457,
  420. title = {Distribution of {{Eigenvalues}} for Some Sets of Random Matrices},
  421. author = {Mar{\v c}enko, V A and Pastur, L A},
  422. year = {1967},
  423. month = apr,
  424. journal = {Mathematics of the USSR-Sbornik},
  425. volume = {1},
  426. number = {4},
  427. pages = {457--483},
  428. issn = {0025-5734},
  429. doi = {10.1070/SM1967v001n04ABEH001994},
  430. langid = {english},
  431. }
  432. <<<<<<< HEAD
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