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Wyszukujesz frazę "singular value decomposition" wg kryterium: Wszystkie pola


Tytuł:
Analysis of dynamics of gene exspression using singular value decomposition
Autorzy:
Simek, K.
Kimmel, M.
Powiązania:
https://bibliotekanauki.pl/articles/332865.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Śląski. Wydział Informatyki i Nauki o Materiałach. Instytut Informatyki. Zakład Systemów Komputerowych
Tematy:
wielokrotna ekspresja genów
dynamiczny model danych ekspresji genów
pojedynczy rozkład wartości
multiple gene expression
dynamic model of gene expression data
singular value decomposition
Opis:
Recently, data on multiple gene expression at sequential time points were analyzed, using Singular Value Decomposition (SVD) as a means to capture dominant trends, called characteristic modes, followed by fitting of a linear discrete-time dynamical model in which the expression values at a given time point are linear combinations of the values at a previous time point. We attempt to address several aspects of the method. To obtain the model we formulate a nonlinear optimization problem and present how to solve it numerically using standard MATLAB procedures. We use publicly available data to test the approach. Then, we investigate the sensitivity of the method to missing measurements and its possibilities to reconstruct missing data. Summarizing we point out that approximation of multiple gene expression data preceded by SVD provides some insight into the dynamics but may also lead to unexpected difficulties.
Źródło:
Journal of Medical Informatics & Technologies; 2002, 3; MI31-40
1642-6037
Pojawia się w:
Journal of Medical Informatics & Technologies
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A fast neural network learning algorithm with approximate singular value decomposition
Autorzy:
Jankowski, Norbert
Linowiecki, Rafał
Powiązania:
https://bibliotekanauki.pl/articles/330870.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
Moore–Penrose pseudoinverse
radial basis function network
extreme learning machine
kernel method
machine learning
singular value decomposition
deep extreme learning
principal component analysis
pseudoodwrotność Moore–Penrose
radialna funkcja bazowa
maszyna uczenia ekstremalnego
uczenie maszynowe
analiza składników głównych
Opis:
The learning of neural networks is becoming more and more important. Researchers have constructed dozens of learning algorithms, but it is still necessary to develop faster, more flexible, or more accurate learning algorithms. With fast learning we can examine more learning scenarios for a given problem, especially in the case of meta-learning. In this article we focus on the construction of a much faster learning algorithm and its modifications, especially for nonlinear versions of neural networks. The main idea of this algorithm lies in the usage of fast approximation of the Moore–Penrose pseudo-inverse matrix. The complexity of the original singular value decomposition algorithm is O(mn2). We consider algorithms with a complexity of O(mnl), where l < n and l is often significantly smaller than n. Such learning algorithms can be applied to the learning of radial basis function networks, extreme learning machines or deep ELMs, principal component analysis or even missing data imputation.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 3; 581-594
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Using Singular Value Decomposition (SVD) as a solution for search result clustering
Autorzy:
Abdulla, H. D.
Abdelrahman, A. S.
Snasel, V.
Powiązania:
https://bibliotekanauki.pl/articles/377259.pdf
Data publikacji:
2014
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
singular value decomposition
clustering
self-organizing map
Opis:
There are many search engines in the web, but they return a long list of search results, ranked by their relevancies to the given query. Web users have to go through the list and examine the titles and (short) snippets sequentially to identify their required results. In this paper we present how usage of Singular Value Decomposition (SVD) as a very good solution for search results clustering. Results are presented by visualizing neural network. Neural network is responsive for reducing result dimension to two dimensional space and we are able to present result as a picture that we are able to analyze.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2014, 80; 71-78
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Properties of a Singular Value Decomposition Based Dynamical Model of Gene Expression Data
Autorzy:
Simek, K.
Powiązania:
https://bibliotekanauki.pl/articles/908156.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
informatyka
multiple gene expression
singular value decomposition
dynamical model of gene expression data
Opis:
Recently, data on multiple gene expression at sequential time points were analyzed using the Singular Value Decomposition (SVD) as a means to capture dominant trends, called characteristic modes, followed by the fitting of a linear discrete-time dynamical system in which the expression values at a given time point are linear combinations of the values at a previous time point. We attempt to address several aspects of the method. To obtain the model, we formulate a nonlinear optimization problem and present how to solve it numerically using the standard MATLAB procedures. We use freely available data to test the approach. We discuss the possible consequences of data regularization, called sometimes "polishing", on the outcome of the analysis, especially when the model is to be used for prediction purposes. Then, we investigate the sensitivity of the method to missing measurements and its abilities to reconstruct the missing data. Summarizing, we point out that approximation of multiple gene expression data preceded by SVD provides some insight into the dynamics, but may also lead to unexpected difficulties, like overfitting problems.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 337-345
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Color image encryption using singular value decomposition in discrete cosine Stockwell transform domain
Autorzy:
Vaish, A.
Kumar, M.
Powiązania:
https://bibliotekanauki.pl/articles/173700.pdf
Data publikacji:
2018
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
discrete cosine Stockwell transform
image encryption
singular value decomposition
mean square error
structural similarity index measurement
Opis:
In this paper, an image encryption technique using singular value decomposition (SVD) and discrete cosine Stockwell transform (DCST) is proposed. The original source image is encrypted using bands of DCST along with the SVD decomposed images. The number of bands in DCST, parameters used to mask the singular values, the way of permutation used to shuffle the values of SVD transformed images and the way of arrangement of SVD matrices are used as encryption keys. It is necessary to have correct knowledge of all the keys along with their respective values, for correct decryption of encrypted images. The robustness and the quality measurement of proposed work are analyzed by comparing it with some existing works.
Źródło:
Optica Applicata; 2018, 48, 1; 25-38
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of the possibility of using the singular value decomposition in image compression
Autorzy:
Łukasik, Edyta
Łabuć, Emilia
Powiązania:
https://bibliotekanauki.pl/articles/38432811.pdf
Data publikacji:
2022
Wydawca:
Polskie Towarzystwo Promocji Wiedzy
Tematy:
singular value decomposition
JPEG 2000
JPEG
discrete wavelet transform
discrete cosine transform
Opis:
In today’s highly computerized world, data compression is a key issue to minimize the costs associated with data storage and transfer. In 2019, more than 70% of the data sent over the network were images. This paper analyses the feasibility of using the SVD algorithm in image compression and shows that it improves the efficiency of JPEG and JPEG2000 compression. Image matrices were decomposed using the SVD algorithm before compression. It has also been shown that as the image dimensions increase, the fraction of eigenvalues that must be used to reconstruct the image in good quality decreases. The study was carried out on a large and diverse set of images, more than 2500 images were examined. The results were analyzed based on criteria typical for the evaluation of numerical algorithms operating on matrices and image compression: compression ratio, size of compressed file, MSE, number of bad pixels, complexity, numerical stability, easiness of implementation.
Źródło:
Applied Computer Science; 2022, 18, 4; 53-67
1895-3735
2353-6977
Pojawia się w:
Applied Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A study of parallel techniques for dimensionality reduction and its impact on the quality of text processing algorithms
Autorzy:
Pietroń, M.
Wielgosz, M.
Karwatowski, M.
Wiatr, K.
Powiązania:
https://bibliotekanauki.pl/articles/114190.pdf
Data publikacji:
2015
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
singular value decomposition
vector space model
TFIDF
Opis:
The presented algorithms employ the Vector Space Model (VSM) and its enhancements such as TFIDF (Term Frequency Inverse Document Frequency) with Singular Value Decomposition (SVD). TFIDF were applied to emphasize the important features of documents and SVD was used to reduce the analysis space. Consequently, a series of experiments were conducted. They revealed important properties of the algorithms and their accuracy. The accuracy of the algorithms was estimated in terms of their ability to match the human classification of the subject. For unsupervised algorithms the entropy was used as a quality evaluation measure. The combination of VSM, TFIDF, and SVD came out to be the best performing unsupervised algorithm with entropy of 0.16.
Źródło:
Measurement Automation Monitoring; 2015, 61, 7; 352-353
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on minimax rates of convergence in the Spektor-Lord-Willis problem
Autorzy:
Szkutnik, Z.
Powiązania:
https://bibliotekanauki.pl/articles/254773.pdf
Data publikacji:
2010
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
poisson inverse problem
rate minimaxity
singular value decomposition
stereology
Opis:
In this note, attainable lower bounds are constructed for the convergence rates in a stereological problem of unfolding spheres size distribution from linear sections, which shows that a spectral type estimator is strictly rate minimax over some Sobolev-type classes of functions.
Źródło:
Opuscula Mathematica; 2010, 30, 2; 203-207
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Zastosowanie rozkładu wartości osobliwych do analizy jakościowej kratownic i konstrukcji tensegrity
Application of singular value decomposition for qualitative analysis of truss and tensegrity structures
Autorzy:
Gilewski, W.
Klosowska, J.
Obara, P.
Powiązania:
https://bibliotekanauki.pl/articles/40352.pdf
Data publikacji:
2015
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Wydawnictwo Szkoły Głównej Gospodarstwa Wiejskiego w Warszawie
Tematy:
budownictwo
uklady nosne
kratownice
kratownice plaskie
kratownice przestrzenne
tensegrity
mechanika
rownania macierzowe
rozklad wartosci osobliwych
building engineering
load bearing system
truss
plane truss
space truss
tensegrity structure
mechanics
matrix equation
singular value decomposition
Opis:
W pracy przedstawiono zastosowanie rozkładu wartości osobliwych (SVD) macierzy wydłużeń do analizy jakościowej kratownic oraz konstrukcji tensegrity. Rozkład taki pozwala na określenie mechanizmów infinitezymalnych oraz stanów samorównoważnych sił podłużnych konstrukcji. Znajomość takich stanów pozwala z kolei określić, czy rozważana kratownica znajduje się w konfiguracji tensegrity. Rozważania teoretyczne zilustrowano na przykładach.
The present paper is dedicated to the application of singular value decomposition (SVD) of extension matrix to the qualitative analysis of truss and tensegrity structures. The decomposition allow to define infinitesimal mechanisms as well as self-stress states of the truss. It can help to recognize if the truss is in tensegrity configuration. Theoretical considerations are illustrated on several examples.
Źródło:
Acta Scientiarum Polonorum. Architectura; 2015, 14, 3
1644-0633
Pojawia się w:
Acta Scientiarum Polonorum. Architectura
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of five SVD-based algorithms for calibration of spectrophotometric analyzers
Autorzy:
Wagner, J.
Morawski, R. Z.
Miękina, A.
Powiązania:
https://bibliotekanauki.pl/articles/220564.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
spectrophotometry
chemometrics
singular value decomposition
regularisation
food analysis
edible oils analysis
Opis:
Spectrophotometry is an analytical technique of increasing importance for the food industry, applied i.a. in the quantitative assessment of the composition of mixtures. Since the absorbance data acquired by means of a spectrophotometer are highly correlated, the problem of calibration of a spectrophotometric analyzer is, as a rule, numerically ill-conditioned, and advanced data-processing methods must be frequently applied to attain an acceptable level of measurement uncertainty. This paper contains a description of four algorithms for calibration of spectrophotometric analyzers, based on the singular value decomposition (SVD) of matrices, as well as the results of their comparison - in terms of measurement uncertainty and computational complexity - with a reference algorithm based on the estimator of ordinary least squares. The comparison is carried out using an extensive collection of semi-synthetic data representative of trinary mixtures of edible oils. The results of that comparison show the superiority of an algorithm of calibration based on the truncated SVD combined with a signal-to-noise ratio used as a criterion for the selection of regularisation parameters - with respect to other SVD-based algorithms of calibration.
Źródło:
Metrology and Measurement Systems; 2014, 21, 2; 191-204
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Signatura of magic and Latin integer squares: isentropic clans and indexing
Autorzy:
Cameron, Ian
Rogers, Adam
Loly, Peter
Powiązania:
https://bibliotekanauki.pl/articles/729830.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Shannon entropy
magic square
Latin square
singular value decomposition
singular value clan
Opis:
The 2010 study of the Shannon entropy of order nine Sudoku and Latin square matrices by Newton and DeSalvo [Proc. Roy. Soc. A 2010] is extended to natural magic and Latin squares up to order nine. We demonstrate that decimal and integer measures of the Singular Value sets, here named SV clans, are a powerful way of comparing different integer squares.
Several complete sets of magic and Latin squares are included, including the order eight Franklin subset which is of direct relevance to magic square line patterns on chess boards. While early examples suggested that lower rank specimens had lower entropy, sufficient data is presented to show that some full rank cases with low entropy possess a set of singular values separating into a dominant group with the remainder much weaker. An effective rank measure helps understand these issues.
We also introduce a new measure for integer squares based on the sum of the fourth powers of the singular values which appears to give a useful method of indexing both Latin and magic squares. This can be used to begin cataloging a "library" of magical squares.
Based on a video presentation in celebration of George Styan's 75th at LINSTAT2012 and IWMS-21 on 19 July, 2012 at Będlewo, Poland.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2013, 33, 1-2; 121-149
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Double Singular Value Decomposition (SVD) Of Symptom Observation Matrix In Machine Condition Monitoring
Zastosowanie podwójnego rozkładu wartości szczególnych (SVD) do symptomowej macierzy obserwacji w diagnostyce maszyn
Autorzy:
Cempel, C.
Powiązania:
https://bibliotekanauki.pl/articles/329060.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
Tematy:
wielowymiarowość
macierz symptomowej obserwacji
rozkład wartości szczególnych
multidimensionality
symptom observation matrix
singular value decomposition
Opis:
Application of SVD to fault extraction from the machine symptom observation matrix (SOM) seems to be validated enough by means of data taken from real diagnostic cases. But sometimes the number of observations, i.e. rank of the SOM is low, what may influence obtained results and subsequent diagnostic decision. This was the reason to look for additional improvement by the second application of SVD to generalized fault matrix obtained by the first SVD. The result is strange, no accuracy increase flows from the application of the second SVD, independently of the SOM rank. This needs further deliberations and rethinking.
Korzyści zastosowania SVD w wielowymiarowej diagnostyce maszyn są potwierdzone przez wielu autorów. Jednak dla małej ilości obserwacji, kiedy rząd symptomowej macierzy obserwacji jest niski, wyniki mogą wydawać się nieprecyzyjne, co może wpływać na wynikowa decyzje diagnostyczną. Zatem zastosowano podwójny rozkład SVD w skrajnych przypadkach wziętych z praktyki diagnostycznej, kilkunastu i kilkuset obserwacji. Otrzymany rezultat zaprzecza początkowej supozycji, dodatkowe zastosowanie SVD nie daje żadnego wzrostu dokładności obliczeń uogólnionych symptomów. Przy okazji tych badań podwójnego SVD łatwo było skonstruować nowy uogólniony symptom wskazujący na występowanie dwu liczących się uszkodzeń w obserwowanym obiekcie, co może być istotne w sytuacjach nadzory złożonych obiektów.
Źródło:
Diagnostyka; 2010, 1(53); 3-12
1641-6414
2449-5220
Pojawia się w:
Diagnostyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Enhance the Capacity of MIMO Wireless Communication Channel using SVD and Optimal Power Allocation Algorithm
Autorzy:
Kumar, Neeraj
Kaur, Dalveer
Powiązania:
https://bibliotekanauki.pl/articles/226875.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
MIMO
water filling algorithm
singular value decomposition
channel state information
channel capacity
Opis:
Multiple input multiple output (MIMO) is a multiple antenna technology used extensively in wireless communication systems. With the ever increasing demand in high data rates, MIMO system is the necessity of wireless communication. In MIMO wireless communication system, where the multiple antennas are placed on base station and mobile station, the major problem is the constant power of base station, which has to be allocated to data streams optimally. This problem is referred as a power allocation problem. In this research, singular value decomposition (SVD) is used to decouple the MIMO system in the presence of channel state information (CSI) at the base station and forms parallel channels between base station and mobile station. This practice parallel channel ensures the simultaneous transmission of parallel data streams between base station and mobile station. Along with this, water filling algorithm is used in this research to allocate power to each data stream optimally. Further the relationship between the channel capacity of MIMO wireless system and the number of antennas at the base station and the mobile station is derived mathematically. The performance comparison of channel capacity for MIMO systems, both in the presence and absence of CSI is done. Finally, the effect of channel correlation because of antennas at the base stations and the mobile stations in the MIMO systems is also measured.
Źródło:
International Journal of Electronics and Telecommunications; 2019, 65, 1; 71-78
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Identification of beam boundary conditions in ill-posed problem
Identyfikacja warunków brzegowych belki w układach o niepełnej informacji
Autorzy:
Majkut, L.
Powiązania:
https://bibliotekanauki.pl/articles/280376.pdf
Data publikacji:
2006
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
model odwrotny
algorytmy rozkładu macierzy
identyfikacja
singular value decomposition
identification
inverse model
Opis:
The purpose of the study is demonstration of the possibility of identification of boundary conditions in an ill-posed problem. The problem is understood as determination of four constants necessary for a description of functions of forced vibration amplitudes from three equations. To this end, the Singular Value Decomposition (SVD) algorithm is used. After determining the amplitudes of forced vibration, elasticity coefficients of supports can be calculated from the equations describing the boundary conditions. Verification of the obtained mathematical model (elastically supported Bernoulli-Euler's beam) was done by comparing natural frequencies obtained from analytical and numerical models, and analysing the correlation of forced vibration amplitude vectors for different excitation frequencies.
Praca dotyczy identyfikacji warunków brzegowych belki w przypadkach, w których nie ma możliwości uzyskania pełnej informacji o układzie. Niepełna informacja wynika, w rozważanym w pracy przypadku, z problemu wyznaczenia czterech stałych całkowania, niezbędnych do opisania funkcji amplitud drgań wymuszonych belki, z trzech równań. Do tego celu \\rykorzystano algorytm rozkładu macierzy względem wartości szczególnych (Bingular Value Decomposition). Po wyznaczeniu stałych całkowania i funkcji amplitud drgań wymuszonych, uogólnione współczynniki sprężystości podparcia wyznaczono z równań opisujących warunki brzegowe. Weryfikacji tak uzyskanego modelu matematycznego dokonano poprzez porównanie częstości drgań własnych i wyznaczenie współczynników korelacji wektorów drgań wymuszonych.
Źródło:
Journal of Theoretical and Applied Mechanics; 2006, 44, 1; 91-105
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Image encryption algorithm based on rear-mounted phase mask and random decomposition
Autorzy:
Yadav, Shivani
Singh, Hukum
Powiązania:
https://bibliotekanauki.pl/articles/2086758.pdf
Data publikacji:
2022
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
fractional Fourier transform
random decomposition
rear-mounted phase mask
SVD
singular value decomposition
Opis:
To escalate the image encryption a new method has been devised which includes double random phase encoding (DRPE) using rear phase masking and random decomposition (RD) technique stranded on fractional Fourier transform. Here, asymmetric cryptographic system is developed in fractional Fourier transform (FrFT) mode using two random phase masks (RPM) and a rear mounted phase mask. In the projected scheme a colored image is decomposed into R, G and B channels. The amplitude of each channel is normalized, phase encoded and modulated using RPM. The modulated R, G and B channels of the colored image are individually transformed using FrFT to produce corresponding encrypted image. The proposed scheme is authorized on grayscale image also. The norm behind the development of the suggested scheme has been elaborated by carrying out cryptanalysis on system based on the RD. The method helps in escalations of the protection of double random phase encoding by cumulating the key length and the parameter amount, so that it vigorously can be used against various attacks. The forte of the suggested cryptographic system was verified using simulations with MATLAB 7.9.0 (R2008a). The efficiency of the suggested scheme includes the analysis using singular value decomposition (SVD), histogram and correlation coefficient.
Źródło:
Optica Applicata; 2022, 52, 2; 195--212
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł

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