Apply mathematical techniques in manipulating large data

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Reference no: EM133184968

MFA501 Mathematical Foundations of AI

Formulate key mathematical concepts used in Artificial Intelligence.

Apply mathematical techniques in manipulating large data sets, and in designing and analysing experimental work in AI.

Use standard mathematical notations and terminologies in statistics, probabilities, linear algebra, vectors, matrixes, differential calculus, and logical reasoning.

Compute accurately standard computations in statistics, probabilities, linear algebra, vectors, matrixes and differential calculus.

Context
This assessment activity assesses your skills in employing AI mathematical foundation to solve real- world problems and scenarios. The assessment is made of two parts due in modules 6 and 10 over the course of trimester.

Task Instructions

• The programs that you submit should be free of warnings and errors.
• You need to submit the source code and the executable format.
o Name the source code folder as:
MFA501_Assessment2_Week6_LastName_FirstName.zip
o MFA501_Assessment2_Week10_LastName_FirstName.zip
• Your code should be structured and written with the best practices in the field of programming.
• There should be enough number of comments in the source files to show your understanding of the program. Any third-part code should be appropriately attributed.

After implementation and testing your programs, write a reflective report detailing the experience of the development process. The report needs to be at least 500 words in length and include the following sections:
• Overview
• Justifications and elaborations on the mathematical approaches and models used to solve the cases study
• Justifications and elaborations on the programing methods and practices used to implement the mathematical approaches and models
• What went right
• What went wrong
• What you are not sure about
• Conclusion

Your problem sets should include the following elements and should be zipped prior to submission:
• Release Build Zip: A release build executable must be zipped and included with the submission. Ensure that project settings are set to Release when creating this build.
• Source Code Zip: All relevant source code files and project files must be zipped and included with the submission
• Reflective report: PDF or Word
• Naming & File structure for the zip file (should be done for all problem sets) .
o MFA501_Assessment2_Set1_Release Build_LastName_FirstName.zip
o MFA501_Assessment2_Set1_Source_LastName_FirstName.zip
o MFA501_Assessment2_Set1_report_LastName_Firstname.pdf or .docx

Programming exercises:

Set 1

Choose two of these programming exercises:

- Write a program to find the Eigenvalues of a n-by-n matrix. (bonus mark for the case that you can make it work for any n?N; if you can't simplify it for n=2,3,4)
- Write a program to calculate Integral of a function. (bonus mark for the case that you can make it work for most functions; if you can't simplify the function to be polynomial)
- Write a program that gets two sets and draws Venn diagram of those sets (their intersection and union).
- Write a program to decide if a relation is a function or not and if it is a function, find its domain and range.

Set 2

Choose two of these programming exercises:

- Refer to this paper:
And write a program that calculates the gradient for RRBF_type1 or RRBF_type2 (choose the one which you prefer).
- Write a program to determine if a set of randomly produced data has a normal distribution or not (You can produce 1000 data points randomly and run your code on it).
- Write a program that displays the behaviour of these two functions in the interval of (analyse their behaviour as x and y approach zero); f1 = sinx/x, f2 = sinx/x x siny/y
- Write a programme based on a recursive function to calculate
the determinant of an nxn matrix.

Attachment:- Problem set- programming exercises.rar

Reference no: EM133184968

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