incremental singular value decomposition of uncertain data with missing values

... intimately related to eigenvalue decomposition in that the singular vectors, U and V , of the data matrix, A, are simply the eigenvectors of A ∗ A T and A T ∗ A, r espectively, and the singular values, Σ, are ... the space of second words. The singular value decomposition of a rect- angular data matrix, A, can be presented as; A = UΣV T (1) where U an d V are matrices of orthogonal left and right singular ... diagonal matrix of the cor- responding singular values. The U and V ma- trices can be seen as a matched set of orthogo- nal basis vectors in their corresponding spaces, while the singular values specify...

Ngày tải lên: 22/02/2014, 02:20

Ngày tải lên: 14/08/2014, 21:20

... boundary value problems of Duffing equation with mixed nonlinear forcing terms. Boundary Value Problems 2011 2011:47. Alsaedi and Aqlan Boundary Value Problems 2011, 2011:47 http://www.boundaryvalueproblems.com/content/2011/1/47 Page ... Boundary Value Problems 2011, 2011:47 http://www.boundaryvalueproblems.com/content/2011/1/47 Page 8 of 11 RESEARC H Open Access On nonlocal three-point boundary value problems of Duffing equation with ... and possible onset of disease. This chaos is with the help of the Duffing equation. In fact, the Alsaedi and Aqlan Boundary Value Problems 2011, 2011:47 http://www.boundaryvalueproblems.com/content/2011/1/47 â...

Ngày tải lên: 20/06/2014, 22:20

... ,N m−1 , 2.8 where Cx  is the transposed matrix of Cx, {e i x} N m i1 are the eigenvalues of Mx and {h i x} N m−1 i1 are the eigenvalues of Bx. Denote by M  i  { x ∈ ∂Ω | e i  x  > ... kind of boundary value condition, which is consistent with Dirichlet problem if the equations are elliptic, and coincident with Keldys-Fichera boundary value problem when the equations are of second-order. We ... the Keldys-Fichera boundary value problem, with that the associated problem is of well-posedness. However, for higher-order ones, the discussion of well-posed boundary value problem has not been...

Ngày tải lên: 21/06/2014, 11:20

... equations. In this paper, by applying Medve ˘ d’s method of desingularization of weakly singular inequalities we establish some new singular version of the Wendroff inequality see 1, 12 for functions ... Corporation Journal of Inequalities and Applications Volume 2008, Article ID 909156, 13 pages doi:10.1155/2008/909156 Research Article Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with ... for stabilization of semilinear parabolic distributed systems by making use of a modification of Henry-type inequalities; Ye et al. 9 proved a generalization of this type of inequalities and...

Ngày tải lên: 22/06/2014, 03:20

... below. 3.2.1. Singular value decomposition Singular value decomposition is used because it captures the essential information of a matrix, somewhat similarly as the eigenvalues do. A singular value and ... Mulgrew As we know, singular value decomposition (SVD) is designed for computing singular values (SVs) of a matrix. Then, if it is used for finding SVs of an m-by-1 or 1-by-m array with elements representing ... kind of input sig- nal x[n], because the dimension of Mt matrix is 2 2. (7) Find singular values (SVs) of matrix Mf:SVD(Mf); this will return another two SVs for any kind of spec- trum (y[m]) of...

Ngày tải lên: 22/06/2014, 23:20

Ngày tải lên: 07/08/2014, 14:20

Ngày tải lên: 14/08/2014, 13:22

Ngày tải lên: 14/08/2014, 16:20

... the same values of the injury severity scores: AIS head, AIS chest, AIS lumbar spine and AIS cervical spine. Patients with missing GCS scores will then have their missing values replaced with observed ... subset of patients who are “similar” to the patient with the missing GCS score. In order to impute a particular GCS score, this method sorts patients both with observed values and those with missing ... imputation [9] involves substituting individual values drawn from patients with observed data who are “similar” to the patient with the missing value. In terms of the GCS scores, this would involve imputing...

Ngày tải lên: 28/03/2014, 23:20

Ngày tải lên: 05/09/2013, 08:40

... beginning of a sentence will be 1, and will keep decreasing at each word break since it is a product of conditional probabil- ities. We tested the predictability of the model on empirical reading data ... pair of sentences. Compar- atively faster drop of probability is expected to be a good indicator of comparative processing diffi- culty. Probability re-ranking, which is a simpli- fied model of the ... adequate account of recur- sive syntactic structure is an essential component of any model of the behaviour. In this study, we tested a bigram POS tagger on different types of structural ambiguities...

Ngày tải lên: 17/03/2014, 04:20

Ngày tải lên: 31/03/2014, 15:23

... r-mixing with Ee ij =0for each i (1 ≤ i ≤ n), then (3.16) holds. Proof By Corollary 3.1, with arguments similar to the proof of Lemma 3 .5, we have (3.16). 4 Proof of Theorems Proof of Theorem ... n=500 0.04 0.06 0.08 0.1 0.12 0.14 0.16 RMSE g ( t ) =cos ( 3πt / 2 ) (b) Figure 3 The boxplots of RMSE (b) n ( b =1,2, , B ) values in the estimators of g(·). Zhou and Lin Journal of Inequalities and Applications 2011, 2011:112 http://www.journalofinequalitiesandapplications.com/content/2011/1/112 Page ... D 3n . (4:1) Zhou and Lin Journal of Inequalities and Applications 2011, 2011:112 http://www.journalofinequalitiesandapplications.com/content/2011/1/112 Page 12 of 18 Proof From the proof of Lemm a 3.4, it...

Ngày tải lên: 20/06/2014, 22:20

... solutions of nonlinear singular third-order two-point boundary value problem,” Journal of Mathematical Analysis and Applications, vol. 323, no. 1, pp. 413–425, 2006. 12 Y. Sun, “Positive solutions of ... max t∈I   T n u  t  ≤ M n t n n!  u  c , 3.39 10 Boundary Value Problems 13 Z. Du, W. Ge, and X. Lin, “Existence of solutions for a class of third-order nonlinear boundary value problems,” Journal of Mathematical Analysis ... “Positive solutions of singular third-order three-point boundary value problem,” Journal of Mathematical Analysis and Applications, vol. 306, no. 2, pp. 589–603, 2005. 8 Boundary Value Problems If...

Ngày tải lên: 21/06/2014, 05:20

... proof for one-dimension case of Lemma 2.2 can be found in Pan and Lin’s work 13, and the proof for n-dimension case is totally similar to one-dimension case; actually the idea of the proof ... satisfy conditions (i) and (iii) of Lemma 2.3. 4. Solution of Riemann Initial-Boundary Value Problem Now we restrict the weak entropy solutions of the Riemann initial value problem 3.1 constructed ... verified. Boundary Value Problems 5 3. Solution of Riemann Initial Value Problem First, we study the Riemann initial value problem corresponding to the Riemann initial- boundary value problem 1.1...

Ngày tải lên: 21/06/2014, 05:20

... α 2 m  3 2  ∼ e − √ −z 3 −z , 13 The asymptpotics of eigenvalues and trace formula of operator associated with one singular problem Nigar M Aslanova Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan Mathematics ... Levitan, BM: About sum of differences of two singular Sturm–Liouville operators. Dokl. AN SSSR 151(5), 1014–1017 (1953) [3] Rybak, MA: About asymptotic of eigenvalues of some boundary value problems for ... versions will be made available soon. The asymptotics of eigenvalues and trace formula of operator associated with one singular problem Boundary Value Problems 2012, 2012:8 doi:10.1186/1687-2770-2012-8 Nigar...

Ngày tải lên: 21/06/2014, 17:20

... the sum of eigenvalue differences of two singular Sturm–Liouville operators is studied. The asymptotics of eigenvalues and trace formulas for operators generated by differential expressions with operator ... Levitan, BM: About sum of differences of two singular Sturm–Liouville operators. Dokl. AN SSSR 151(5), 1014–1017 (1953) [3] Rybak, MA: About asymptotic of eigenvalues of some boundary value problems for ... versions will be made available soon. The asymptotics of eigenvalues and trace formula of operator associated with one singular problem Boundary Value Problems 2012, 2012:8 doi:10.1186/1687-2770-2012-8 Nigar...

Ngày tải lên: 21/06/2014, 20:20

... commutes with A and is possessed of real eigenvalues λ 1 t, u ≤ λ 2 t, u ≤ ··· ≤ λ n t, u . In the light of Lemma 2.2, A Bt, u is a diagonalization n ì n matrix with real eigenvalues μ 1  ... self-adjointness of Bu can be removed and Bu is not necessarily commuting with the operator A. In this note, we consider a two-point boundary value problem of a class of Duffing- type systems with non-C 1 perturbation ... Corporation Boundary Value Problems Volume 2009, Article ID 287834, 12 pages doi:10.1155/2009/287834 Research Article The Solution of Two-Point Boundary Value Problem of a Class of Duffing-Type Systems with Non-C 1 Perturbation...

Ngày tải lên: 21/06/2014, 20:20

... boundary value problem of second- order FDE,” Computers & Mathematics with Applications, vol. 37, no. 10, pp. 1–9, 1999. [5] P. X. Weng and Y. Tian, “Existence of positive solution for singular ... boundary value problem with delay,” Far East Journal of Mathematical Sciences, vol. 1, no. 3, pp. 367–382, 1999. [6] F H. Wong, “Existence of positive solutions for m-Laplacian boundary value problems,” ... Corporation Boundary Value Problems Volume 2007, Article ID 38230, 12 pages doi:10.1155/2007/38230 Research Article Existence of Positive Solutions for Boundary Value Problems of Nonlinear Functional...

Ngày tải lên: 22/06/2014, 19:20