Newton-like method for singular 2-regular system of nonlinear equations

In this article the problem of solving a system of singular nonlinear equations will be discussed. The theory of local and Q-superlinear converegence for the nonlinear operators is developed

Comparative analysis of selected programs for optical text recognition

The aim of the article is to compare three programs for the optical text recognition. The problem of the optical text recognition has been defined. Next, briefly the functionality of this technology was described. The most important programs realizing the discussed problem were also characterized. The selected programs were tested using two samples of machine writing in Polish. The speed of the text recognition process was determined. The correctness of characters and words recognition in the analyzed text was also specified

EFFICIENCY COMPARISON OF NETWORKS IN HANDWRITTEN LATIN CHARACTERS RECOGNITION WITH DIACRITICS

The aim of the article is to analyze and compare the performance and accuracy of architectures with a different number of parameters on the example of a set of handwritten Latin characters from the Polish Handwritten Characters Database (PHCD). It is a database of handwriting scans containing letters of the Latin alphabet as well as diacritics characteristic of the Polish language. Each class in the PHCD dataset contains 6,000 scans for each character. The research was carried out on six proposed architectures and compared with the architecture from the literature. Each of the models was trained for 50 epochs, and then the accuracy of prediction was measured on a separate test set. The experiment thus constructed was repeated 20 times for each model. Accuracy, number of parameters and number of floating-point operations performed by the network were compared. The research was conducted on subsets such as uppercase letters, lowercase letters, lowercase letters with diacritics, and a subset of all available characters. The relationship between the number of parameters and the accuracy of the model was indicated. Among the examined architectures, those that significantly improved the prediction accuracy at the expense of a larger network size were selected, and a network with a similar prediction accuracy as the base one, but with twice as many model parameters was selected

ANALYSIS OF THE POSSIBILITY OF USING THE SINGULAR VALUE DECOMPOSITION IN IMAGE COMPRESSION

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.&nbsp

Efficiency of 2-order iterative methods

In this article the problem of solving a system of singular nonlinear equations will be discussed. New the iterative 2-order method for this problem is presented. The article includes the numerical results for the method

Comparison of mobile application using Swift and Objective-C

The subject of the article is to compare the methodologies for the production of mobile applications in Swift and Objective-C languages. The similarities and differences of the implementation of applications for these two programming languages will be identified as a part of the analysis. An Magic Drawing Board application using Quartz 2D engine was designed and implemented. Two identical functional applications were created. The comparative analysis was carried out only after a thorough explanation of the implemented views

Superquadraticly convergent methods for minimization fonctions

In the paper locally superquadraticly convergent methods for minimization functions are considered. Threefold symmetric approximations to partial derivatives of the third order are constructed

WYZNACZANIE CAŁEK NIEWŁAŚCIWYCH W METODZIE ELEMENTÓW BRZEGOWYCH FOURIERA

The traditional Boundary Element Method (BEM)  is a collection of numerical techniques for solving some partial differential equations. The classical BEM produces a fully populated coefficients matrix. With Galerkin Boundary Element Method (GBEM) is possible to produce a symmetric coefficients matrix. The Fourier BEM is a more general numerical approach. To calculate the final matrix coefficients it is necessary to find the improper integrals.  The article presents the method for calculation of such integrals.Tradycyjna metoda elementów brzegowych(MEB)  prowadzi w efekcie do rozwiązania układu równań liniowych z pełną macierzą współczynników. Stosując podejście Galerkina ostateczny układ równań liniowych jest reprezentowany macierzą symetryczną. W podejściu Fouriera, współczynniki układu równań wyznaczane są w przestrzeni Fouriera co pozwala uniknąć problemów z całkowaniem całek nieosobliwych, ale powoduje konieczność obliczania całek niewłaściwych. W artykule zaprezentowano algorytm  obliczania takich całek

Learning speed or prediction accuracy? Comparative analysis of program-ming frameworks for artificial intelligence

The purpose of the article is to analyze frameworks for artificial intelligence applications. In particular, the effectiveness, time-consumption and resources requirement. Linear regression, random forests and k nearest neighbors models were created for each framework. The learning data is a dataset containing informations about diamonds and their prices. Each model was designed to learn diamonds’ prices and then make a prediction depending on its specific characteristics such as cut, color, and volume. The learning data was divided into sets of different sizes to show changes in a model depending on the amount of training data

Analiza wydajności aplikacji webowej we frameworku AngularJS

The purpose of the paper was to create and analyze web-application with AngularJS framework. Server-side API with access to database was written to support the application. Theoretical research on AngularJS functionalities has been done. Analyzed framework approach for creating applications advantages and disadvantages. Performance testing and measuring code of created application were conducted. Celem artykułu było tworzenie i analiza aplikacji webowej na bazie frameworku AngularJS. Dla aplikacji zostało napisane API po stronie serwera z połączeniem do bazy danych. Była przeprowadzona analiza teoretyczna związana z funkcjonowaniem badanego frameworku. Przeanalizowane wady i zalety podejścia frameworku do tworzenia aplikacji webowych. Były przeprowadzone badania wydajności oraz linii kodu utworzonej aplikacj