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Longer titles found: Singular value decomposition (view), Higher-order singular value decomposition (view), Hankel singular value (view), Generalized singular value decomposition (view), Quantum singular value transformation (view)

searching for Singular value 81 found (284 total)

alternate case: singular value

Ridge regression (4,146 words) [view diff] exact match in snippet view article find links to article

solution can be analyzed in a special way using the singular-value decomposition. Given the singular value decomposition A = U Σ V T {\displaystyle A=U\Sigma

Multilinear principal component analysis (990 words) [view diff] case mismatch in snippet view article find links to article

numerical computational terms in their SIAM paper entitled "Multilinear Singular Value Decomposition", (HOSVD) and in their paper "On the Best Rank-1 and Rank-(R1

Overdetermined system (2,204 words) [view diff] case mismatch in snippet view article find links to article

right-triangular system R x = Q T b . {\displaystyle Rx=Q^{T}b.} The Singular Value Decomposition (SVD) of a (tall) matrix A {\displaystyle A} is the representation

Small-gain theorem (244 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\mathcal {H}}_{\infty }} -norm, the size of the largest singular value of the transfer function over all frequencies. Any induced Norm will

List of numerical-analysis software (2,482 words) [view diff] exact match in snippet view article find links to article

solutions of linear systems of equations, eigenvalue problems, and singular value problems and the associated matrix factorizations (LU, Cholesky, QR

Probabilistic design (1,936 words) [view diff] exact match in snippet view article find links to article

testing in materials. The stress experienced by a material is given as a singular value (i.e., force applied divided by the cross-sectional area perpendicular

Heinz mean (315 words) [view diff] exact match in snippet view article find links to article

(1): 132–136, doi:10.1137/0614012. Audenaert, Koenraad M.R. (2007), "A singular value inequality for Heinz means", Linear Algebra and Its Applications, 422

List of things named after Bernhard Riemann (287 words) [view diff] exact match in snippet view article find links to article

tensor Riemannian Penrose inequality Riemannian polyhedron Riemannian singular value decomposition Riemannian submanifold Riemannian submersion Riemannian

Golden spiral (1,373 words) [view diff] exact match in snippet view article find links to article

conjugate of B with respect to A, D, i.e. the cross ratio (A,D;B,C) has the singular value −1. The golden spiral is the only logarithmic spiral with (A,D;B,C)

Colt (libraries) (216 words) [view diff] case mismatch in snippet view article

Colt's capabilities, as listed on the project's website: Example of Singular Value Decomposition (SVD): SingularValueDecomposition s = new

Self-similarity matrix (530 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-88685-3. Dubnov, Shlomo; Ted Apel (2004). "Audio segmentation by singular value clustering". Proceedings of Computer Music Conference (ICMC 2004). CiteSeerX 10

Heat map (3,898 words) [view diff] exact match in snippet view article find links to article

countries, states, provinces or even floodplains. Each region has a singular value, visualized by color intensity, shading or pattern. The figure on the

Plastic ratio (4,381 words) [view diff] exact match in snippet view article find links to article

\right)^{24}-24} . The difference is < 1/12659. The elliptic integral singular value k r = λ ∗ ( r ) {\displaystyle k_{r}=\lambda ^{*}(r)} for ⁠ r = 23 {\displaystyle

Unstructured data (1,864 words) [view diff] case mismatch in snippet view article find links to article

In 2004, the SAS Institute developed the SAS Text Miner, which uses Singular Value Decomposition (SVD) to reduce a hyper-dimensional textual space into

Functional correlation (1,521 words) [view diff] no match in snippet view article find links to article

functional singular-value decomposition for the cross-covariance operator. FSCA can be viewed as an extension of analyses using singular-value decomposition

Document-term matrix (1,529 words) [view diff] no match in snippet view article find links to article

similarities between documents. Latent semantic analysis (LSA, performing singular-value decomposition on the document-term matrix) can improve search results

Supergolden ratio (2,980 words) [view diff] exact match in snippet view article find links to article

\right)^{24}-24} . The difference is < 1/143092. The elliptic integral singular value k r = λ ∗ ( r ) {\displaystyle k_{r}=\lambda ^{*}(r)} for ⁠ r = 31 {\displaystyle

K-means++ (1,403 words) [view diff] case mismatch in snippet view article find links to article

R.; Vempala, S.; Vinay, V. (2004). "Clustering Large Graphs via the Singular Value Decomposition". Machine Learning. 56 (1–3): 9–33. doi:10.1023/B:MACH

Haesun Park (1,114 words) [view diff] exact match in snippet view article find links to article

(August 2004). "Generalizing discriminant analysis using the generalized singular value decomposition". IEEE Transactions on Pattern Analysis and Machine Intelligence

Document clustering (886 words) [view diff] exact match in snippet view article find links to article

clustering; for documents, these include latent semantic indexing (truncated singular value decomposition on term histograms) and topic models. Other algorithms

Generalized inverse (2,592 words) [view diff] no match in snippet view article find links to article

A=U{\begin{bmatrix}\Sigma _{1}&0\\0&0\end{bmatrix}}V^{\operatorname {T} }} be its singular-value decomposition. Then for any generalized inverse A g {\displaystyle A^{g}}

John Doyle (engineer) (268 words) [view diff] exact match in snippet view article

control, linear-quadratic-Gaussian control robustness, (structured) singular value analysis, and H-infinity methods. He has co-authored books and software

Leslie Fox Prize for Numerical Analysis (855 words) [view diff] exact match in snippet view article find links to article

interpolation with radial basis functions"), Bart De Moor ("The restrictricted singular value decomposition: properties and applications"), Andrew M. Stuart ("Linear

Orly Alter (844 words) [view diff] exact match in snippet view article find links to article

Alter, Orly; Brown, Patrick O.; Botstein, David (29 August 2000). "Singular value decomposition for genome-wide expression data processing and modeling"

Generalized Hebbian algorithm (1,258 words) [view diff] case mismatch in snippet view article find links to article

Gorrell, Genevieve (2006), "Generalized Hebbian Algorithm for Incremental Singular Value Decomposition in Natural Language Processing.", EACL, CiteSeerX 10.1

Multiple correspondence analysis (1,571 words) [view diff] exact match in snippet view article find links to article

With these notations, computing an MCA consists essentially in the singular value decomposition of the matrix: M = D r − 1 / 2 ( Z − r c T ) D c − 1 /

Image stitching (2,834 words) [view diff] exact match in snippet view article find links to article

freedom. The homography can be computed using Direct Linear Transform and Singular value decomposition with A ⋅ {\displaystyle \cdot } h = 0, where A is the

Matrix Toolkit Java (505 words) [view diff] exact match in snippet view article find links to article

Cholesky. Eigenvalue decompositions for unsymmetrical dense matrices. Singular value decompositions for unsymmetrical dense matrices. Eigenvalue decompositions

Glossary of linear algebra (1,297 words) [view diff] no match in snippet view article find links to article

is an element of a field used in the definition of a vector space. singular-value decomposition a factorization of an m × n {\displaystyle m\times n}

Sri Niwas (1,037 words) [view diff] exact match in snippet view article find links to article

in terms of exponential functions and designed a methodology using singular value decomposition which is reported to have applications in a variety of

W. Harmon Ray (1,296 words) [view diff] case mismatch in snippet view article find links to article

"Identification and Control of Distributed Parameter Systems by Means of the Singular Value Decomposition". Chemical Engineering Science, 50, 10, 1519–1539 (1995)

Word embedding (3,154 words) [view diff] exact match in snippet view article find links to article

Reducing the number of dimensions using linear algebraic methods such as singular value decomposition then led to the introduction of latent semantic analysis

Multimedia information retrieval (1,294 words) [view diff] exact match in snippet view article find links to article

methods for description filtering include factor analysis (e.g. by PCA), singular value decomposition (e.g. as latent semantic indexing in text retrieval) and

Jblas: Linear Algebra for Java (368 words) [view diff] exact match in snippet view article find links to article

Eigen – eigendecomposition Solve – solving linear equations Singular – singular value decomposition Decompose – LU, Cholesky, ... Geometry – centering, normalizing

Jalal Allakhverdiyev (827 words) [view diff] exact match in snippet view article find links to article

American Mathematical Society. 1978. Bell, Jordan (2014-04-03). "The singular value decomposition of compact operators on Hilbert spaces" (PDF). Department

Compositional data (1,971 words) [view diff] no match in snippet view article find links to article

orthonormal bases, including using the Gram–Schmidt orthogonalization or singular-value decomposition of clr transformed data. Another alternative is to construct

Row and column spaces (3,596 words) [view diff] no match in snippet view article find links to article

find the basis in a practical setting (e.g., for large matrices), the singular-value decomposition is typically used. The dimension of the column space is

MapReduce (5,480 words) [view diff] case mismatch in snippet view article find links to article

pattern-based searching, distributed sorting, web link-graph reversal, Singular Value Decomposition, web access log stats, inverted index construction, document

David Broomhead (1,057 words) [view diff] exact match in snippet view article find links to article

topological embedding due to Takens with the engineering method of singular value decompositions. While in Malvern, Broomhead wrote his influential papers

Tensor (9,357 words) [view diff] case mismatch in snippet view article find links to article

Lathauwer, Lieven; De Moor, Bart; Vandewalle, Joos (2000). "A Multilinear Singular Value Decomposition" (PDF). SIAM J. Matrix Anal. Appl. 21 (4): 1253–1278.

K-means clustering (7,754 words) [view diff] exact match in snippet view article find links to article

Santosh; Vinay, Vishwanathan (2004). "Clustering large graphs via the singular value decomposition" (PDF). Machine Learning. 56 (1–3): 9–33. doi:10.1023/b:mach

Cell cycle (9,148 words) [view diff] exact match in snippet view article find links to article

Omberg L, Golub GH, Alter O (November 2007). "A tensor higher-order singular value decomposition for integrative analysis of DNA microarray data from different

Catherine Havasi (747 words) [view diff] case mismatch in snippet view article find links to article

Artificial intelligence Thesis Discovering Semantic Relations Using Singular Value Decomposition[citation needed] (2009) Doctoral advisor James Pustejovsky[citation

Group method of data handling (2,532 words) [view diff] exact match in snippet view article find links to article

are determined using one of the available minimizing methods such as singular value decomposition (with training data). Then, neurons that have better external

Zuowei Shen (413 words) [view diff] exact match in snippet view article find links to article

2, 337–369. Cai, Jian-Feng; Candès, Emmanuel J.; Shen, Zuowei, "A singular value thresholding algorithm for matrix completion". SIAM J. Optim. 20 (2010)

CT scan (16,219 words) [view diff] exact match in snippet view article find links to article

of the human brain: Advanced deconvolution analysis using circulant singular value decomposition". Computerized Medical Imaging and Graphics. 32 (1): 67–77

List of Stanford University faculty and staff (4,981 words) [view diff] exact match in snippet view article find links to article

authority in numerical matrix analysis, inventor of the algorithm for singular value decomposition (SVD) David Gries, former faculty, first text on compilers

Factorization of polynomials (4,408 words) [view diff] exact match in snippet view article find links to article

(2008). "Approximate factorization of multivariate polynomials using singular value decomposition". J. Symbolic Comput. 43 (5): 359–376. doi:10.1016/j.jsc

Microfluidic modulation spectroscopy (1,410 words) [view diff] exact match in snippet view article find links to article

deconvolution is also used for multivariate analysis techniques including singular value decomposition, partial least squares, soft independent modeling of class

Mixture model (7,792 words) [view diff] case mismatch in snippet view article find links to article

Spectral methods of learning mixture models are based on the use of Singular Value Decomposition of a matrix which contains data points. The idea is to

LU decomposition (8,625 words) [view diff] exact match in snippet view article find links to article

{\textstyle \sigma _{k+1}} is the ( k + 1 ) {\textstyle (k+1)} -th singular value of the input matrix A {\textstyle A} . If two matrices of order n can

Discrete Fourier transform (12,333 words) [view diff] no match in snippet view article find links to article

eigenvectors of the discrete Fourier transform matrix based on the singular-value decomposition of its orthogonal projection matrices". IEEE Transactions

Fredholm determinant (3,228 words) [view diff] exact match in snippet view article find links to article

{\textstyle 1\leq i_{1}<i_{2}<\cdots <i_{k}} , then the corresponding singular value of Λ k ( A ) {\textstyle \Lambda ^{k}(A)} is σ i 1 σ i 2 ⋯ σ i k {\textstyle

Ambisonics (6,064 words) [view diff] exact match in snippet view article find links to article

Nanjundaswamy, Tejaswi; Rose, Kenneth (October 2017). "Frequency domain singular value decomposition for efficient spatial audio coding". 2017 IEEE Workshop

Ensemble Kalman filter (3,910 words) [view diff] no match in snippet view article find links to article

and the inverse is replaced by a pseudoinverse, computed using the singular-value decomposition (SVD) . Since these formulas are matrix operations with

David Mayne (1,625 words) [view diff] case mismatch in snippet view article find links to article

32(3):345--363, 1980. Polak, E. and Mayne, D. Q., On the Solution of Singular Value Inequalities over a Continuum of Frequencies, IEEE Transactions on Automatic

Metabolic network modelling (5,355 words) [view diff] exact match in snippet view article find links to article

methods. Price, Reed, and Papin, from the Palsson lab, use a method of singular value decomposition (SVD) of extreme pathways in order to understand regulation

Janet Biggs (2,557 words) [view diff] case mismatch in snippet view article find links to article

Press. On April 8, 2021 Biggs presented a livestream performance, "Singular Value Decomposition," emerging from this collaboration. This collaborative

Finite strain theory (10,029 words) [view diff] no match in snippet view article find links to article

} is invertible with a positive determinant, is a corollary of the singular-value decomposition. To transform quantities that are defined with respect

Luis M. Rocha (1,592 words) [view diff] case mismatch in snippet view article find links to article

1038/srep244564, 2016 M.E. Wall, A. Rechtesteiner, and L. M. Rocha, Singular Value Decomposition and Principal Component Analysis "A Practical Approach

Kosambi–Karhunen–Loève theorem (10,711 words) [view diff] case mismatch in snippet view article find links to article

(Dai 1996, JOSA A). Karhunen–Loève expansion is closely related to the Singular Value Decomposition. The latter has myriad applications in image processing

Jacobi eigenvalue algorithm (4,682 words) [view diff] exact match in snippet view article find links to article

vectors with ‖ x ‖ 2 = 1 {\displaystyle \|x\|_{2}=1} . It is the largest singular value of A {\displaystyle A} . In case of a symmetric matrix it is the largest

Brouwer fixed-point theorem (8,516 words) [view diff] exact match in snippet view article find links to article

now be a differentiable mapping. Such a retraction must have a non-singular value p ∈ ∂Dn, by Sard's theorem, which is also non-singular for the restriction

Uncorrelated noise (342 words) [view diff] exact match in snippet view article find links to article

S. (2019). "Mode shape identification based on Gabor transform and singular value decomposition under uncorrelated colored noise excitation". Mechanical

Edwin Hancock (1,318 words) [view diff] case mismatch in snippet view article find links to article

Edwin R. Hancock, Structural Graph Matching Using the EM Algorithm and Singular Value Decomposition. IEEE Trans. Pattern Anal. Mach. Intell. 23(10): 1120–1136

Mode-k flattening (491 words) [view diff] exact match in snippet view article find links to article

Lathauwer, Lieven; De Mood, B.; Vandewalle, J. (2000), "A multilinear singular value decomposition", SIAM Journal on Matrix Analysis and Applications, 21

Rigid motion segmentation (3,387 words) [view diff] case mismatch in snippet view article find links to article

features over the sequence into two matrices: motion and structure using Singular Value Decomposition. The simplicity of the algorithm is the reason for its

James J. Collins (4,887 words) [view diff] exact match in snippet view article find links to article

Tegnér J, Collins JJ (2002). "Reverse engineering gene networks using singular value decomposition and robust regression". Proc Natl Acad Sci U S A. 99 (9):

Capital and Ideology (2,953 words) [view diff] exact match in snippet view article find links to article

inequality not seen anywhere except in quasi-slave societies. [...] The singular value of this book may well be its power to revive research and activism that

Rotation formalisms in three dimensions (9,999 words) [view diff] exact match in snippet view article find links to article

from the remaining eigenvalues. The Euler axis can be also found using singular value decomposition since it is the normalized vector spanning the null-space

Theta function (14,667 words) [view diff] case mismatch in snippet view article find links to article

Shimura, On modular forms of half integral weight "Elliptic Integral Singular Value". msu.edu. Retrieved 2023-04-07. Ramanujan's theta-function identities

List of acronyms: S (5,414 words) [view diff] case mismatch in snippet view article find links to article

Visual Cortex SvD – (p) Svenska Dagbladet (Swedish newspaper) SVD (i) Singular Value Decomposition Snaiperskaya Vintovka Dragunova (Снайперская винтовка

Harris affine region detector (7,037 words) [view diff] exact match in snippet view article find links to article

eigenvalues. Rather than extracting these eigenvalues using methods like singular value decomposition, the Harris measure based on the trace and determinant

Supersilver ratio (3,010 words) [view diff] exact match in snippet view article find links to article

7}-2x^{6}+4x^{5}-8x^{4}+4x^{3}-8x^{2}+16x-8.} The elliptic integral singular value k r = λ ∗ ( r ) for r = 59 {\displaystyle k_{r}=\lambda ^{*}(r){\text{

Atmospheric lidar (5,771 words) [view diff] case mismatch in snippet view article find links to article

choice rules. Commonly used regularization methods are the Truncated Singular Value Decomposition, Tikhonov regularization combined with the Discrepancy

Julian Sahasrabudhe (1,319 words) [view diff] exact match in snippet view article find links to article

Jenssen; Michelen, Marcus; Sahasrabudhe, Julian (2022). "The least singular value of a random symmetric matrix". Forum of Math: Pi. arXiv:2203.06141.

Ultrasound Localization Microscopy (1,635 words) [view diff] exact match in snippet view article find links to article

Deterministic Common algorithms include frame-to-frame subtraction and singular value decomposition. The performance of different algorithms depends on the

Three-dimensional electrical capacitance tomography (5,057 words) [view diff] exact match in snippet view article find links to article

methods are linear back projection (LBP), and direct method based on singular value decomposition and Tikhonov regularization. These algorithms are computationally

Sub-Gaussian distribution (7,008 words) [view diff] exact match in snippet view article find links to article

; Pajor, A.; Rudelson, M.; Tomczak-Jaegermann, N. (2005). "Smallest singular value of random matrices and geometry of random polytopes" (PDF). Advances

University of Illinois Center for Supercomputing Research and Development (6,992 words) [view diff] case mismatch in snippet view article find links to article

“Multiprocessor Jacobi Algorithms for Dense Symmetric Eigenvalue and Singular Value Decompositions”. Proceedings of the 1986 Int'l Conf. on Parallel Processing

Generative pre-trained transformer (5,250 words) [view diff] exact match in snippet view article find links to article

; Kamp, Y. (1988). "Auto-association by multilayer perceptrons and singular value decomposition". Biological Cybernetics. 59 (4–5): 291–294. doi:10.1007/BF00332918