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Module 1-1: Linear Space Inner Product Space Linear Control Systems (2019) Ding Zhao Assistant Professor College of Engineering School of Computer Science Carnegie Mellon University Ding Zhao (CMU) M1-1: Linear Space 1 / 29 Table of Contents 1 Inner product and norm 2 Orthogonal Bases (Gram-Schmidt Process) 3 Orthogonal Space Ding Zhao (CMU) M1-1: Linear […]
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24677 2019 MidTerm1 Cheat-sheet Types of systems Normed Space Examples Every inner product (X , F , ) generates a norm space: eg.(n,):x=(x1,…,xn)T • Linearsystems: • Time-invariantsystems:giveny(t)=f(x(t)), f (αx +βy)=αf (x)+βf (y) y(t −τ)= f (x(t −τ)) h(t)=0fort 2 1 1 • ||x||p= ni=1|xi|p p =p • ||x||1=ni=1|xi| • ||x||∞ =max|xi| Gram-Schmidt Process Euclidean norm
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Homework 2 1. Implementing Apriori algorithm (using either C++ or Java). Your program should be able to accept two parameters with input: filename and a minimal support level. For instance, “myapriori filename 15”, where “myapriori” is the execution file, and 15 means a frequent itemset has frequency of 15% of the entire transactions in “filename”.
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Module 1-1: Linear Space Linear Space Linear Control Systems (2019) Ding Zhao Assistant Professor College of Engineering School of Computer Science Carnegie Mellon University Ding Zhao (CMU) M1-1: Linear Space 1 / 50 Table of Contents 1 Mathematical expression of linear systems 2 Linearization 3 Field and vector space 4 Linear independency, basis, dimension 5
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Module 1-2: Linear Transformations Linear Decomposition Linear Control Systems (2019) Ding Zhao Assistant Professor College of Engineering School of Computer Science Carnegie Mellon University Ding Zhao (CMU) M1-2: Linear Transformations 1 / 37 Table of Contents 1 Limitations of Jordan Decomposition 2 Singular Value Decomposition 3 Functions of Matrices 4 Cayley Hamilton Theorem Ding Zhao
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Homework 1 24-677 Special Topics: Linear Control Systems Prof. D. Zhao Due: Sept 4, 2019, 8:30 am. Submit within deadline. • Your online version and its timestamp will be used for assessment. The paper version, will only be used for backup purposes. • We will use Gradescope ( https://www.gradescope.com/) to grade. The link is on
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24 – 677 Name (Print): Fall 2019 Mid-term Exam 1 Practice Time: 8:30 am to 10:20 am This exam contains 8 pages (including this cover page) and 7 problems. Check to see if any pages are missing. Enter all requested information on the top of this page, and put your initials on the top of
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