İzmir Ekonomi Üniversitesi
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    Ph.D. In Computer Engineering

    CE 610 | Course Introduction and Application Information

    Course Name
    Sparse Approximation Algorithms
    Code
    Semester
    Theory
    (hour/week)
    Application/Lab
    (hour/week)
    Local Credits
    ECTS
    CE 610
    Fall/Spring
    3
    0
    3
    7.5

    Prerequisites
    None
    Course Language
    English
    Course Type
    Elective
    Course Level
    Third Cycle
    Mode of Delivery -
    Teaching Methods and Techniques of the Course -
    National Occupation Classification -
    Course Coordinator
    Course Lecturer(s)
    Assistant(s) -
    Course Objectives With this course, students will have basic knowledge on fundamentals of sparse and redundant representations first with theoretical and numerical foundations, and then practical applications originating from the theory, such that image denoising, deblurring, compression, MAP and MMSE estimations, dictionary learning, etc.
    Learning Outcomes
    #
    Content
    PC Sub
    * Contribution Level
    1
    2
    3
    4
    5
    1explain fundamentals of sparse and redundant representations.
    2analyse underdetermined linear system problems with regularization techniques.
    3develop and/or apply greedy and iterative pursuit algorithms.
    4describe convex relaxation techniques and approximate solutions.
    5apply the theory of sparse and redundant representations in practical signal processing.
    Course Description Provides basic knowledge on fundamentals of sparse and redundant representations with theoretical and numerical foundations, as well as practical applications originating from the theory

     



    Course Category

    Core Courses
    Major Area Courses
    X
    Supportive Courses
    Media and Management Skills Courses
    Transferable Skill Courses

     

    WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

    Week Subjects Related Preparation Learning Outcome
    1 Basic introduction to sparse and redundant representations
    2 Underdetermined linear systems, regularization techniques, and convexity M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing, Springer 2010 (Ch. 1)
    3 Pursuit algorithms in practice M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing, Springer 2010 (Ch. 3)
    4 From exact to approximate solutions M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing, Springer 2010 (Ch. 5)
    5 Iterative-shrinkage algorithms M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing, Springer 2010 (Ch. 6)
    6 Sparsity-seeking methods in signal processing M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing, Springer 2010 (Ch. 9)
    7 Dictionary learning algorithms M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing, Springer 2010 (Ch. 12)
    8 MAP and MMSE estimation M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing, Springer 2010 (Ch. 11)
    9 Applications – Image deblurring, image denoising M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing, Springer 2010 (Ch. 10, Ch.14)
    10 Applications – Image compression, image super-resolution M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing, Springer 2010 (Ch. 13, Ch.15.4)
    11 Applications – Image inpainting, image cartoon/texture separation M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing, Springer 2010 (Ch. 15.2, Ch. 15.3)
    12 Project presentations
    13 Project presentations
    14 Project presentations
    15 Project presentations
    16 Review of the semester

     

    Course Notes/Textbooks Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing, Michael Elad, Springer 2010. ISBN 978-1-4419-7010-7
    Suggested Readings/Materials

     

    EVALUATION SYSTEM

    Semester Activities Number Weighting LO 1 LO 2 LO 3 LO 4 LO 5
    Participation
    -
    -
    Laboratory / Application
    Field Work
    Quizzes / Studio Critiques
    Portfolio
    Homework / Assignments
    -
    -
    Presentation / Jury
    1
    30
    Project
    1
    40
    Seminar / Workshop
    Oral Exams
    Midterm
    1
    30
    Final Exam
    Total

    Weighting of Semester Activities on the Final Grade
    3
    100
    Weighting of End-of-Semester Activities on the Final Grade
    Total

    ECTS / WORKLOAD TABLE

    Semester Activities Number Duration (Hours) Workload
    Theoretical Course Hours
    (Including exam week: 16 x total hours)
    16
    3
    48
    Laboratory / Application Hours
    (Including exam week: '.16.' x total hours)
    16
    0
    Study Hours Out of Class
    16
    3
    48
    Field Work
    0
    Quizzes / Studio Critiques
    0
    Portfolio
    0
    Homework / Assignments
    -
    -
    0
    Presentation / Jury
    1
    30
    30
    Project
    1
    80
    80
    Seminar / Workshop
    0
    Oral Exam
    0
    Midterms
    1
    19
    19
    Final Exam
    0
        Total
    225

     

    COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

    #
    PC Sub Program Competencies/Outcomes
    * Contribution Level
    1
    2
    3
    4
    5
    1 Understands and applies the foundational theories of Computer Engineering in a high level.
    -
    -
    -
    X
    -
    2 Possesses a great depth and breadth of knowledge about Computer Engineering including the latest developments.
    -
    -
    -
    -
    X
    3 Can reach the latest information in Computer Engineering and possesses a high level of proficiency in the methods and abilities necessary to comprehend it and conduct research with it.
    -
    -
    -
    -
    X
    4 Conducts a comprehensive study that introduces innovation to science and technology, develops a new scientific procedure or a technological product/process, or applies a known method in a new field.
    -
    -
    -
    -
    -
    5 Independently understands, designs, implements and concludes a unique research process in addition to managing it.
    -
    X
    -
    -
    -
    6 Contributes to science and technology literature by publishing the output of his/her academic studies in respectable academic outlets.
    -
    -
    X
    -
    -
    7 Interprets scientific, technological, social and cultural developments and relates them to the general public with a commitment to scientific objectivity and ethical responsibility.
    -
    -
    -
    -
    -
    8 Performs critical analysis, synthesis and evaluation of ideas and developments in Computer Engineering.
    -
    X
    -
    -
    -
    9 Performs verbal and written communications with professionals as well as broader scientific and social communities in Computer Engineering, by using English at least at the European Language Portfolio C1 General level, performs written, oral and visual communications and discussions in a high level.
    -
    -
    -
    -
    -
    10 Develops strategies, policies and plans about systems and topics that Computer Engineering uses, and interprets the outcomes.
    -
    -
    X
    -
    -

    *1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

     


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