Matrices

This paper aims to develop an effective method for reduction and decomposition on large matrices with low required computational resources and fast processing times. Our contribution is to design a PCA-SVD hybrid method that dividesthe feature extraction into two phases: PCA-based size reduction and SVD-based decomposition. In our method, PCA is first applied to a large matrix to extract its important components

5p vibenya 31-12-2024 2 1   Download

Mảng là một khối các biến có cùng kiểu dữ liệu • Mảng có thể được khai báo với mọi kiểu dữ liệu. – Ví dụ: int A[10] là 1 mảng 10 số nguyên. • Các ví dụ : – Danh sách điểm của SV (list of students’ marks) – Dãy các số được nhập vào bởi người sử dụng. – vectors (véc tơ) – Ma trận.(Matrices)

55p anhnam_xtanh 29-09-2012 140 15   Download

Computing matrices is a crucial and prevalent topic in the field of data processing and artificial intelligence. One of the significant and effective methods for matrix manipulation is Singular Value Decomposition (SVD). Based on matrix computations using SVD, we can perform various complex operations such as dimensionality reduction, hidden information detection, optimization, and many other applications.

9p viprimi 16-12-2024 2 0   Download

A matrix is a rectangular array of numbers. The numbers in the array are called the entries in the matrix. We use the capital letters to denote matrices such as A, B, C,... The size of matrix is described in terms of the number of rows and columns it contains.

25p lalala10 05-03-2016 45 1   Download

This chapter presents the following content: Graphic window, edit window, start button, matrices in matlab, scalar operations, order of operations, array operations, matrix addition, matrix multiplication, number display (scientific notation), script m-files.

40p nanhankhuoctai10 23-07-2020 14 1   Download

The layout of the thesis: In addition to the introduction, conclusion, list of symbols and abbreviations, list of tables, list of images and drawings, list of published works related to the thesis. Project, appendices and references.

27p larachdumlanat129 20-01-2021 24 3   Download

This paper presents a Bayesian approach based on integral experiments to create correlations which do not appear with differential data. Some quantities such as the fission cross section (s), neutron multiplicity (n¯p), neutron spectra (x), etc. are usually neither modeled together nor measured in coincidence, thus there is no correlation matrices in evaluated nuclear data libraries.

8p christabelhuynh 30-05-2020 18 0   Download

Sensitivity and uncertainty analysis in error propagation studies are carried out based on nuclear data uncertainty information available in the basic nuclear data libraries such as ENDF, JEFF, JENDL and others.

5p christabelhuynh 29-05-2020 13 2   Download

The current paper deals with incomplete Pairwise Comparisons (‘PWs’) when a large number of alternatives is evaluated.

14p tohitohi 22-05-2020 11 0   Download

The effects of addition of alumina to the matrices of cracking catalysts containing different types of zeolite Y, on their cracking performance, were investigated using a micro activity test and two different feed oils.

13p tuananhhumg 04-11-2013 51 3   Download

Acollagen-likeproteinwas identi®ed fromtheotolithsof the chum salmon,Oncorhynchus keta. The otolith, composed mainly of calcium carbonate with small amount of organic matrices, is formed in the inner ear and serves as apart of the hearing and balance systems. Although the organicmatrices may play important roles in the growth of otolith, little is known about their chemical nature and physiological func-tion. In this study, amajor organic component of theotolith, designated otolin-1, which may serve as a template for calci®cation, was puri®ed. ...

9p research12 23-04-2013 31 2   Download

Almost all protein database search methods use amino acid substitution matrices for scoring, optimizing, and assessing the statistical significance of sequence alignments. Much care and effort has therefore gone into con-structing substitution matrices, and the quality of search results can depend strongly upon the choice of the proper matrix. A long-standing problem has been the comparison of sequences with biased amino acid composi-tions, for which standard substitution matrices are not optimal....

9p fptmusic 12-04-2013 37 2   Download

Programming tools: Input/output (assign/graph-&-display) Repetition (for) Decision (if) Arrays List of numbers in brackets A comma or space separates numbers (columns) A semicolon separates row Zeros and ones Matrices: zeros() ones() Indexing (row,column) Colon Operator: Range of Data first:last or first:increment:last Manipulating Arrays & Matrices Transpose

17p doanhung_dtvtk10 19-03-2013 71 4   Download

The mollusk shell is a hard tissue consisting of calcium carbonate and organic matrices. The organic matrices are considered to play important roles in shell formation. We have previously identified a prismatic layer-specific protein named Prismalin-14, which consists of 105 amino acid resi-dues and includes four structurally characteristic regions;

9p media19 04-03-2013 35 2   Download

Let A be an n × n matrix, whose entries are independent copies of a centered random variable satisfying the subgaussian tail estimate. We prove that the operator norm of A−1 does not exceed Cn3/2 with probability close to 1. 1. Introduction Let A be an n × n matrix, whose entries are independent, identically distributed random variables. The spectral properties of such matrices, in particular invertibility, have been extensively studied (see, e.g. [M] and the survey [DS]).

28p dontetvui 17-01-2013 54 8   Download

We classify the measures on SL(k, R)/ SL(k, Z) which are invariant and ergodic under the action of the group A of positive diagonal matrices with positive entropy. We apply this to prove that the set of exceptions to Littlewood’s conjecture has Hausdorff dimension zero. 1. Introduction 1.1. Number theory and dynamics. There is a long and rich tradition of applying dynamical methods to number theory.

49p noel_noel 17-01-2013 46 7   Download

Dedicated to the memory of Gert Kjærg˚ Pedersen ard Abstract In the process of developing the theory of free probability and free entropy, Voiculescu introduced in 1991 a random matrix model for a free semicircular system. Since then, random matrices have played a key role in von Neumann algebra theory (cf. [V8], [V9]). The main result of this paper is the follow(n) (n) ing extension of Voiculescu’s random matrix result: Let (X1 , . . . , Xr ) be a system of r stochastically independent n × n Gaussian self-adjoint random matrices as in Voiculescu’s random matrix paper...

66p noel_noel 17-01-2013 56 6   Download

For many classically chaotic systems it is believed that the quantum wave functions become uniformly distributed, that is the matrix elements of smooth observables tend to the phase space average of the observable. In this paper we study the fluctuations of the matrix elements for the desymmetrized quantum cat map. We present a conjecture for the distribution of the normalized matrix elements, namely that their distribution is that of a certain weighted sum of traces of independent matrices in SU(2).

20p noel_noel 17-01-2013 62 6   Download

Hyaluronan, a ubiquitous high-molecular-mass glycinoglycan on cell surfaces and in extracellular matrices, has a number of specific signaling functions in cell–cell communication. Changes in its content, molecular mass and turnover rate are crucial for cell proliferation, migration and apoptosis, processes that control tissue remodeling during embryonic devel-opment, inflammation, injury and cancer.

10p cosis54 05-01-2013 51 5   Download

Hyaluronan matrices are ubiquitous in normal and pathological biological processes. This remarkable diversity is related to their unique mechanism of synthesis by hyaluronan synthases. These enzymes are normally acti-vated in the plasma membrane and utilize cytosolic substrates directly to form these large polyanionic glycosaminoglycans, which are extruded directly into the extracellular space.

7p cosis54 05-01-2013 41 2   Download