orthogonal basis
Parameter free Sentence Embedding via Orthogonal Basis
... an orthogonal basis of the subspace spanned by a word and its surrounding context in a ...on orthogonal ba- sis to combine pre-trained word embeddings into sentence ...
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Tomographic Inversion Technique Using Orthogonal Basis Patterns
... Tomographic reconstruction of the emission profile is a typical ill-posed inversion problem. It becomes trou- blesome in fusion plasma diagnostics because the possible location/direction of the observation is quite ...
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Determining Critical Points of Handwritten Mathematical Symbols Represented as Parametric Curves
... one basis than in ...the orthogonal polynomial basis without converting to monomial ...an orthogonal basis, rather than perform ill-conditioned ...of orthogonal series in ...
120
Brandon_unc_0153D_15557.pdf
... More recently, assuming the solution can be better approximated by exponential sums as in the case for linear homogeneous ODEs, collocation nodes and spectral integration matrices are designed using skeletonization ...
134
Symmetry classes of polynomials associated with the direct product of permutation groups
... Pournaki, On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group, Linear and Multilinear Algebra , 47 (2000) 137-149. [3] M[r] ...
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Aerial Degrees of Freedom of Parasitic Arrays for Single RF Front-End MIMO Transceivers
... This paper explores the beamspace domain representation of parasitic antenna arrays and elaborates on the aerial degrees of freedom provided by these arrays. A geometry based methodology is used to visualize the ...
20
Sparse model identification using orthogonal forward regression with basis pursuit and D optimality
... an orthogonal basis that are a few significant hidden variables constructed by the full set of input ...the orthogonal basis to only a few selected original input variables, as these are ...
8
New Numerical Method for Determining the Scattered Electromagnetic Fields from Thin Wires
... of orthogonal basis functions called triangular functions (TFs) is used and applied to the method of moments for determining the scattered fields from thin ...
12
Optimum detection for extracting maximum information from symmetric qubit sets
... We demonstrate a class of optimum detection strategies for extracting the maximum information from sets of equiprobable real symmetric qubit states of a single photon. These optimum strategies have been predicted by ...
10
Fast Lattice Basis Reduction Suitable for Massive Parallelization and Its Application to the Shortest Vector Problem
... lattice basis as input, variants of the lattice basis are generated, and then each process reduces its lattice basis; at this time, the processes cooperate and share auxiliary information with each ...
23
A note on comprehensive backward biorthogonalization
... its orthogonal projection into the reduced ...one basis function is to be dropped, Rebollo-Neira recommends iterating the d = 1 ...d basis functions ...
5
A note on the spectra of tridiagonal matrices
... 1. Introduction and preliminaries. Most of the results on tridiagonal matrices can be seen in the context of orthogonal polynomials. Here, we will see two examples. The aim of this note is to give simplified proofs ...
5
Quantum Symmetric Spaces and Quantum Symplectic Invariants
... to the matrix multiplication, these sets generally fail to be closed, and the elements do not all have inverses. However, the associated quantized regular functions and quantized universal enveloping Lie algebras still ...
211
orthogonal polynomials
... In this final section, we list some concrete examples of orthogonal polynomials that find frequent use in physics. Unlike in the rest of the text, it is not the intention here to derive or prove all the results. ...
13
Strongly orthogonal and uniformly orthogonal many-placed operations
... Proof. In this case the same k-minors different from 0 of the determinant A, defined by Σ, can be used, then the corresponding system of k equa- tions with s − k variables on the right side has a unique solution for q ...
17
Multidimensional subset sum problem
... h" h" CPUDEFS; /***************************************** VARIABLES: rmatrix bstar: holds the basis rmatrix mu: holds the imatrix b: BB: rvector mu of orthogonal holds original BB[j] hol[r] ...
54
On Almost Orthogonal Frames
... Feichtinger in his work on time frequency analysis noted that all Gabor frames which he was using for his work had the property that they could be divided into a finite number of subsets which were Riesz basis ...
7
Sparse multi output radial basis function network construction using combined locally regularised orthogonal least square and D Optimality experimental design
... A locally regularized OLS algorithm with the D-optimality design has been proposed for constructing sparse multi-output RBF network models. The efficiency of the subset model selection procedure is ensured as usual with ...
20
Orthogonal persistence revisited
... Designers of program-centric persistence technologies are less constrained in their choice of storage format since they may legitimately assume that the persistent data will be solely accessed via the language ...
22
Improvisation to the R* Tree kNN Join Principles in Distributed Environment
... Dimensionality of Data Block Nested Loop orthogonal edges Single z-value parttioning orthogonal edges Multiple z-value partitioning orthogonal edges Figure 6 Average percentage differenc[r] ...
5