CS723 - Probability and Stochastic Processes

Academic Research Paper Instructions As part of your course grading, you are required to submit an academic research paper during the semester. This exercise is meant to inculcate in you the research temperament and skills by carrying out a deep study of any research topic/area relevant to this course. You may choose any topic, of your interest, relevant to the course. Following are the details of academic research paper: requirements, deadlines and marks. Academic Research Paper Requirements: Following are the requirements for the academic research paper: a) Paper Length Your paper should not be less than 6 pages and not more than 12 pages. b) Quality of Writing The clarity and style of expression, the degree to which your paper obeys the rules to formal academic grammar, punctuation, spelling, formatting details like paragraph indentation and location of page breaks, are part of quality of writing. Write and edit your paper carefully for good organization, clear language with good spelling, punctuation, etc. c) Format Your academic research paper must have these sections: Abstract, Introduction, Related Work, Analysis and Conclusion. You must have to follow IEEE format strictly. The format is available in MS-WORD format (Click here to download). No academic research paper will be accepted without mentioned format. d) References You must have to study published research papers (minimum 10). The references of published research papers and books are allowed. Any unauthorized materials’ references will not be acceptable. You can access Research Papers on your VULMS account using link [HEC Digital Library], Google Scholar and other online free research paper repositories. Submission and Deadlines Students are required to finalize and submit their academic research paper by July 24, 2020. Academic research paper must contain implementation results of the proposed research idea. Similarly, in case of a review paper the “Discussion” section must contain student’s comments/conclusions and future research agenda regarding the domain being reviewed. Presentation Students will be required to give presentation (through Skype/TeamViewer/Recorded-presentation etc.) of their academic research paper, well before final-term examinations. The detailed schedule for the presentations will be communicated with the students later. Team Students can do this assignment in groups but in that case their academic research paper must be of high quality justifying the efforts of all the members in the group. Warning: Write in your own words, do not copy-paste. Plagiarism is not acceptable. In case plagiarism is found, you will be awarded zero marks. No excuse will be accepted in this regard. For further understanding about plagiarism, please follow the links: Little Book of Plagiarism HEC Policy about plagiarism. For further information and guidelines on writing a research paper, please follow the link: Guidelines and Requirements for Writing a Research Paper Date of presentation of the academic research paper shall be announced later. Topic for Research Paper Few topics are given below. However, students can select their own topic. Complex stochastic systems Harmonic analysis and applications Markov processes and applications Hidden Markov Models and applications Random dynamical systems Bayesian Learning and applications Studies on Dynamic and Probabilistic Systems Probabilistic models in Machine Learning Monte Carlo Methods and its applications Stochastic modelling and its applications If you want to select any other topic of your choice related to this course then get approval first via course email CS723@vu.edu.pk before starting work. In case of any confusion, send e-mail at course e-mail address.

Assignment No. 01 Semester: Spring 2020 CS723: Probability and Stochastic Processes Total Marks: 50 Due Date: June 03, 2020 Please read the following instructions carefully before submitting assignment: It should be clear that your assignment will not get any credit if:  The assignment is submitted after due date.  The submitted assignment does not open or file is corrupt.  Solution is copied from any other source. Objective The objective of this assignment is to;  Improve your understanding about Probabilities and its applications Assignment Problem No.1 Let’s consider you are attempting a Quiz having 20 multiple choice questions (MCQs). Each MCQ have five (05) options (only one them is correct). Each MCQ carry one (01) marks and there is no negative marking. In order to pass the Quiz, you need to obtain at least seven(07) marks. Scenario 1: You don’t have any previous knowledge/preparation for this quiz and just randomly guessing the correct option then… Q 1: What is the probability of getting exactly 10 marks if you are randomly attempting the Quiz? Q 2: What is the probability of getting FAILED if you are randomly attempting the Quiz? Scenario 2: You have previous knowledge/preparation for this quiz and you can guess the correct option with probability of 0.7 then… Q 1: What is the probability of getting exactly 15 marks? Q 2: What is the probability of getting FAILED? Assignment Problem No.2 Let’s consider there are 50 students in class and the teacher have asked each student to select a secret number between 1 and 1000 (inclusive). What is the probability that at-least two student will choose a same number? Submission You are required to submit your solution through LMS in MS Word format containing all the calculations you need to perform to find answers to given questions.