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Machine Learning Techniques
Published in Neeraj Kumar, Aaisha Makkar, Machine Learning in Cognitive IoT, 2020
Matlab combines the analysis and design environment in a single desktop. It mainly works on the data stored in matrixes and arrays. It is a multi-paradigm environment which provides the ease of numerical computing and a research community. It is developed by MathWorks. It provides the facility of data manipulations, plotting functions, algorithms implementation, and interface management. Programs written in other languages (C, C++, Java, C#) are also understood easily by Matlab. Matlab was meant for numerical computing itself, but the optional toolbox known as MuPAD symbolic engine is also available for symbolic computing. Simulink is the package of Matlab used for graphics. As of now, more than 4 million users are using Matlab.
Topics from Linear Algebra
Published in Vladimir A. Dobrushkin, Applied Differential Equations with Boundary Value Problems, 2017
Example 7.2.5: In MATLABO, the command inv(A) gives the inverse matrix A-1. With det(A) $ {\text{det }}(A) $ , matlab, MuPad provide the determinant of the matrix A. The transposition of a real matrix in matlab can be found by typing A. $ \text{A}. $
Integral Transforms and Complex-valued Functions
Published in Dingyü Xue, YangQuan Chen, Scientific Computing with MATLAB®, 2018
Clearly, a better analytical or symbolic function is expected without numerical issues that may cause the pole multiplicity issues. In new versions of MATLAB, the symbolic engine MuPAD provides a low-level function , and can be called from MATLAB with F = .
A randomised scheme for secured modular exponentiation against power analysis attacks
Published in Cyber-Physical Systems, 2019
Moushumi Barman, Hridoy Jyoti Mahanta
As we have chosen software-based countermeasure, the proposed work has been stimulated in MuPad, a tool in MATLAB 2015b. All the results shown are executed in 4gb RAM 2.4GHz configured workstation. Three sets of key size 1024, 1536, 2048 equivalent to d have been considered from Public Key Cryptographic Standards (version 2.1.10). Each set contains six plain texts and six cipher texts. The version includes , , in format of hexadecimal. For analysis purpose, we examined average computation and complexity for each technique of calculating modular exponentiation. We have implemented the RSA and examined the accuracy of all these data. The proposed algorithm always gives the same result as RSA decryption produced.
Mathematics and engineering in real life through mathematical competitions
Published in International Journal of Mathematical Education in Science and Technology, 2018
For instance, newly introduced functions should be taught with graphs so that students are able to visualize them whenever they deal with its properties or while solving problems. Open source tools, spreadsheets can be used cost effectively to draw graphs. When teaching is done through visualization methods, student can relate with the new concepts. He is able to get the right emotions and feelings about the functions involved and the answers obtained. He is able to develop his intuition to comment on whether a solution obtained is valid practically. It is okay not to remember each and every formula in mathematics at the end of his four-year engineering course, but it is important to have reasoning and emotions in terms of what can be the methods used to solve a problem and identify the absurd results. Lagrange [5] also suggests that tools based on computer algebra system (CAS) like Derive, Mathematica, MathCAD, Maxima, Maple, SciLab or MuPAD help to set a balance between skills and understanding. It lightens the technical work, thus allowing students to focus on concepts and applications. These pedagogical affordances of the use of CAS can also be extended to other technology tools available for mathematics instruction. The National Curriculum Framework (NCF 2005) of India in the paper [6] of India in the paper on teaching of mathematics begins by stating that the primary goal of mathematics education is the mathematization of the child's thought processes. It recommends that mathematics teaching at all levels be made more ‘activity oriented’. Keith Jones [7] focuses on the nature and role of mathematical ‘tasks’ in mathematics education. Stein et al. [8, p. 459] studied how tasks determine ‘not only what students learn but also how they come to think about, develop, use, and make sense of mathematics’. In this perspective, a project competition was outlined as follows.
A benchmark of selected algorithmic differentiation tools on some problems in computer vision and machine learning
Published in Optimization Methods and Software, 2018
Filip Srajer, Zuzana Kukelova, Andrew Fitzgibbon
MuPAD (called from MATLAB) optimizes code using common subexpression elimination and compiles it via C++ to MEX. Theano input needs to be written in a modified Python and is then compiled either into optimized Python or C++. Theano is always ran in CPU mode to allow a fair comparison since all the tools use only CPU.