inner product spaces orthogonal projection least squares and singular value decomposition
Báo cáo hóa học: " Research Article A New Method for Least-Squares and Minimax Group-Delay Error Design of Allpass Variable Fractional-Delay Digital Filters" pdf
Ngày tải lên :
21/06/2014, 07:20
... Signal Processing and the respective inner iterations are three and two in the first and second outer iterations, and one in the others Figure 3(d) presents the final group-delay errors, and the errors ... the minimax design took eighteen outer iterations, and the respective inner iterations are three and two in the first and second outer iterations, and one in the others The final maximum pole radius ... maximally flat and weighted -least- squares variable fractional-delay filters,” IEEE Transactions on Circuits and Systems I, vol 54, no 12, pp 2718–2732, 2007 [11] J J Shyu, S C Pei, C H Chan, and Y D...
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Orthogonal partial least squares discriminant analysis in metabolomic for disease characterization
Ngày tải lên :
02/10/2015, 17:13
... Tandem mass spectrometry NMR Nuclear magnetic resonance OPLS Orthogonal projections to latent structures/ orthogonal partial least squares PCA Principal component analysis PLS Partial least squares/ ... shows how metabolomics and multivariate statistical methods such as Orthogonal Partial Least Squares Discriminant Analysis (OPLS-DA) can be used to study and enhance understanding of two diseases ... Principal Component Analysis 18 iv 1.3.3 Partial Least Squares/ Projection to Latent Structures 19 1.3.4 Orthogonal Partial Least Squares Discriminant Analysis 20 1.3.5 Pre-treatment...
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Báo cáo hóa học: " Research Article Applying Novel Time-Frequency Moments Singular Value Decomposition Method and Artificial Neural Networks for Ballistocardiography" docx
Ngày tải lên :
22/06/2014, 23:20
... symmetric, and positive definite, then its eigenvalue and singular value decompositions are the same In particular, the singular value decomposition of a real matrix is always real, but the eigenvalue decomposition ... matrix and the corresponding singular vectors forming the columns AT U = V Since U and V are orthogonal, this becomes the singular value decomposition A=U VT (3) The full singular value decomposition ... define TFM-SVD, first we must be familiar with singular value decomposition (SVD), briefly explained below 3.2.1 Singular value decomposition Singular value decomposition is used because it captures...
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Báo cáo vật lý: "THE COVARIABILITY BETWEEN ANOMALOUS NORTHEAST MONSOON RAINFALL IN MALAYSIA AND SEA SURFACE TEMPERATURE IN INDIAN-PACIFIC SECTOR: A SINGULAR VALUE DECOMPOSITION ANALYSIS APPROACH" pdf
Ngày tải lên :
07/08/2014, 14:20
... (1992) Singular value decomposition of wintertime sea surface temperature and 500-mb height anomalies Journal of Climate, 5, 561–576 Cherry, S (1996) Singular value decomposition analysis and canonical ... were standardized according to Arthur and Jagtap [13] and computed as: A it = X it − X i SDi where Ait is the standardized anomalies at year t and grid or station i, Xit is the averaged data value ... the singular values The total squared covariance can be computed by taking the summation of all the squared singular values of diagonal elements of L The maximum number of non-zero singular values...
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Báo cáo khoa học: "Orthogonal Negation in Vector Spaces for Modelling Word-Meanings and Document Retrieval" ppt
Ngày tải lên :
17/03/2014, 06:20
... Vectors were normalised, so that the standard (Euclidean) scalar product and cosine similarity coincided This scalar product was used as a measure of term-term and term-document similarity throughout ... relevant and non-relevant subsets, and α, β, γ ∈ R are constants Salton and Buckley (1990) report best results using β = 0.75 and γ = 0.25 The positive feedback part of this process has become standard ... vector space V (equipped with a scalar product) Then the concept ‘NOT A’ should correspond to the orthogonal complement A⊥ of A under the scalar product (Birkhoff and von Neumann, 1936, §6) If we think...
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Báo cáo hóa học: " Research Article A Cohen Type Inequality for Fourier Expansions of Orthogonal Polynomials with a Nondiscrete Jacobi-Sobolev Inner Product" potx
Ngày tải lên :
21/06/2014, 07:20
... Let f and g be in S2 Let us consider the following Sobolev-type inner product: f, g −1 f x g x dμα,β x λ −1 f x g x dμα 1,β x , 1.4 where λ > Let {Qn x }∞ denote the sequence of polynomials orthogonal ... some estimates and the strong asymptotics on −1, for such polynomials as well as the Mehler-Heine formula In Section 3, we analyze the polynomials orthogonal with respect to the inner product 1.4 ... Inequalities and Applications estimates, inner strong asymptotics, and a Mehler-Heine type formula Some estimates of the weighted p Sobolev norm of these polynomials will be needed in the sequel and we...
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Báo cáo hóa học: " Research Article NLOS Identification and Weighted Least-Squares Localization for UWB Systems Using Multipath Channel Statistics" potx
Ngày tải lên :
22/06/2014, 19:20
... kurtosis, and the delay statistics are evaluated using the mean excess delay and the root mean square (rms) delay spread of the received MPCs And third, to analyze different weighted least- squares ... mean and standard deviation of In(τ m ) and In(τ rms ) as well as the K-S passing rates are tabulated in Table 2, and their corresponding PDFs are depicted ˙ Ismail G¨ venc et al u ¸ in Figures and ... Correlation coefficient between two random variables R1 and R2 is given by ρR1 ,R2 = (E(R1 R2 ) − E(R1 )E(R2 ))/σ R1 σ R2 , where σ R1 and σ R2 are the standard deviations of R1 and R2 , respectively (13)...
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Báo cáo hóa học: " A Constrained Least Squares Approach to Mobile Positioning: Algorithms and Optimality" pot
Ngày tải lên :
22/06/2014, 23:20
... these two modified algorithms are referred to as the quadratic correction least squares (QCLS) and linear correction least squares (LCLS), respectively Recently, we have improved [18] the performance ... Processing Table 1: List of abbreviations and symbols AOA Angle-of-arrival CWLS Constrained weighted least squares CRLB Cram´ r-Rao lower bound e NLS Nonlinear least squares RSS Received signal strength ... parameter a is known and has a constant value for all RSS measurements (A3) The numbers of BSs for location using the TOA, TDOA, RSS, and AOA measurements are at least 3, 4, 3, and 2, respectively...
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Báo cáo hóa học: " Research Article Equalization of Loudspeaker and Room Responses Using Kautz Filters: Direct Least Squares Design" pot
Ngày tải lên :
22/06/2014, 23:20
... the time-domain inner product of two (causal) signals x(n) and y(n), x(n)y ∗ (n) (3) n=0 Now, impulse responses {gi (n)}N are orthogonal in the i= sense that gi , gk = for i = k, and normal, since ... scientific and engineering papers and contributed to organizing several conferences and workshops He is an AES Fellow and Silver Medalist as well as Member of IEEE (Institute of Electrical and Electronics ... to the right and by compensating for the change in the tap-output blocks A mixture of structures in Figures and is used in the case of both real and complex-conjugate poles MODELING AND EQUALIZATION...
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Báo cáo y học: " Predicting transcription factor activities from combined analysis of microarray and ChIP data: a partial least squares approach" potx
Ngày tải lên :
13/08/2014, 23:20
... other regulators, and rarely act independently Partial least squares regression Here we propose to employ the method of partial least squares regression [15] to infer true TFAs and the functional ... and Golub [12] introduced an approach for integrating ChIP and microarray data using pseudo-inverse projection Like NCA, this method is based on algebraic matrix decomposition (in this case singular ... NL: Canonical partial least squares and continuum power regression J Chemometrics 2001, 15:85-100 Datta S: Exploring relationships in gene expressions: a partial least squares approach Gene Expression...
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Tài liệu 21 Recursive Least-Squares Adaptive Filters doc
Ngày tải lên :
16/12/2013, 04:15
... recursive least- squares (RLS) algorithms and the corresponding fast versions (known as FTF and FAEST), QR and inverse QR algorithms, least- squares lattice (LSL), and QR decomposition- based least- squares ... invoking the singular value decompositions of the matrices A and B, A = UA A B = UB B VT , A VT , B where UA and UB are n × n orthogonal matrices, VA and VB are m × m orthogonal matrices, and A and B ... recursive least- squares algorithms (FTF and FAEST) were independently derived in [11] Carayannis, G., Manolakis, D., and Kalouptsidis, N., A fast sequential algorithm for least squares filtering and...
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Báo cáo hóa học: " Research Article Properties WORTH and WORTHH∗ , 1 δ Embeddings in Banach Spaces with 1-Unconditional Basis and wFPP" doc
Ngày tải lên :
21/06/2014, 20:20
... Let xn be a weakly null equilateral sequence in K and let Kδ weakly compact and Sxn is weakly null in Y Hence there exists a sequence β ∈ S N and projections with respect to the basis en in Y with ... β n / γ n for every n ∈ N Pn and let S : X → Y be Let P , Q : Y → Y be given by P Pn and Q S S, S, Recall that we will write S instead of S By a , b , and c and since xn is equilateral we ... 3.8 and 3.9 , and 3.5 we obtain Sw Sxβ Sxγ ≤ δ P Q Sw δ u 3.10 ≤ δ xβ xδ δ Hence w ≤ δ 2 Finally, from 3.7 and 3.11 we have w − 1/2 ≤ w ≤ Therefore, if δ < AMC property √ δ2 3δ δ δ 3.11 δ /2 and...
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Báo cáo hóa học: " Decision-Directed Recursive Least Squares MIMO Channels Tracking" docx
Ngày tải lên :
22/06/2014, 22:20
... signal transmission model and the channel model are introduced In Section 3, the least squares algorithm is derived and extended as a joint blind channel detection and estimation algorithm In ... Doppler frequency of the pth path channel THE BLIND RECURSIVE LEAST SQUARES JOINT DETECTION AND ESTIMATION In Appendix A, recursive least squares algorithm is derived for the estimation of the MIMO ... comparison The values for α are considered as 0.9998 and 0.999 which correspond to fD T = 0.004 and 0.01, respectively The optimum values of the forgetting factor for fD T = 0.004 and 0.01 obtained...
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Báo cáo hóa học: " FIXED POINT THEOREMS IN GENERATING SPACES OF QUASI-NORM FAMILY AND APPLICATIONS " pptx
Ngày tải lên :
22/06/2014, 22:20
... dimensional Euclidean space and is therefore complete and closed in X (ii) A subset of X is compact if and only if it is precompact and complete Proof It follows from Lemma 2.4 and [4, pages 59–61] ... [9] and Systems 125 (2002), no 2, 153–161 [10] S S Zhang, Basic theory and applications of probabilistic metric spaces I, Applied Mathematics and Mechanics (1988), no 2, 123–133 [11] S S Zhang and ... Annalen 142 (1961), 305–310 [2] J.-X Fang and G.-A Song, Φ-contractor and the solutions for nonlinear operator equations in fuzzy normed spaces, Fuzzy Sets and Systems 121 (2001), no 2, 267–273 [3]...
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Báo cáo hóa học: " Non-Data-Aided Feedforward Carrier Frequency Offset Estimators for QAM Constellations: A Nonlinear Least-Squares Approach" potx
Ngày tải lên :
23/06/2014, 01:20
... w(n), , w(n) , (22) The superscripts ∗ and H stand for conjugation and conjugate transposition, respectively The notations “re” and “im” stand for the real and imaginary parts, respectively Non-Data-Aided ... Swami, and A K Nandi, “Non-linear least squares estimation for harmonics in multiplicative and additive noise,” Signal Processing, vol 78, no 1, pp 43–60, 1999 [5] M Ghogho, A Swami, and T Durrani, ... + τ) e− j2παn e− j2π f τ , k=0 ˙ J(θ) := and S2e (α; f ) and S2e (α; f ) stand for the unconjugate and conjugate cyclic spectra of e(n) at cycle α and frequency f , defined as S2e (α; f ):= k...
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Báo cáo hóa học: " A Methodology for Rapid Prototyping Peak-Constrained Least-Squares Bit-Serial Finite Impulse Response Filters in FPGAs" pptx
Ngày tải lên :
23/06/2014, 01:20
... response performance Least squares and minimax (equiripple) stopbands can be obtained using the PCLS methods described in [6, 7, 8, 9] Neither least squares nor minimax stopbands are effective at ... passband for the filters with the hardware cost of 1144 and 668 LEs for Adams’ filter (95 taps, passband ripple = dB, passband cutoff = 0.125π rad, stopband cutoff = 0.1608π rad, and minimum stopband ... cost and PSR results for proposed rapid prototyping design method for Adams’ filter (95 taps, passband ripple = dB, passband cutoff = 0.125π rad, stopband cutoff = 0.1608π rad, and minimum stopband...
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Báo cáo toán học: "Hartogs Spaces, Spaces Having the Forelli Property and Hartogs Holomorphic Extension Spaces" pptx
Ngày tải lên :
06/08/2014, 05:20
... giving our notion on Hartogs spaces, and spaces having the Forelli property and the relation between these spaces and Hartogs holomorphic extension spaces Hartogs Spaces, Spaces Having the Forelli ... ⊂ U is pluripolar if and only if there exists ϕ ∈ P SH(U ), ϕ ≡ −∞ and E ⊂ ϕ−1 (−∞) Hartogs Spaces, Spaces Having the Forelli Property and Hartogs Holomorphic Extension Spaces This section is ... holomorphic extension spaces, Hartogs spaces and spaces having the Forelli property Preliminaries All complex spaces considered in this paper are assumed to be reduced and to have a countable...
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Báo cáo toán học: "Frequency squares and affine designs" pdf
Ngày tải lên :
07/08/2014, 06:22
... in i and j: Fij = α, Fij = β There are two cases to examine: Case X = X : Then λ > and so µ > Choose any j (1 ≤ j ≤ µm) Let Yα and Yβ meet the line Lj at Ljt and Lju , respectively In Γ, Xt and ... hold Therefore F and F are orthogonal It follows that by varying X and X we get a complete set of type F (µm, µ) MOFS Observe that in the case µ = 1, Γ is an affine plane of order m and the theorem ... complete sets of mutually orthogonal latin squares and affine planes, J Comb Theory A, 61 (1992), 13-35 [9] C F Laywine, G L Mullen: Discrete Mathematics Using Latin Squares (Wiley, 1998) [10]...
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Báo cáo toán học: "Random Matrices, Magic Squares and Matching Polynomia" ppt
Ngày tải lên :
07/08/2014, 08:22
... graph and let p(G) be the total number of matchings in G Let X be the random variable whose value is the number of edges in a randomly chosen matching; denote by m(G) its mean and by σ(G) its standard ... nonnegative integers and whose rows and columns sum up to the same number j The number of magic squares of order k with row and column sum j, denoted by Hk (j), is of great interest; see [22] and references ... p+q −1 (53) Secular coefficients of random orthogonal and symplectic matrices In this section we prove the analogues of Theorem for the orthogonal group O(N) and for the symplectic group Sp(2N)...
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