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Scientific Computing 科學計算

Scientific Computing 科學計算. Roger Jang ( 張智星 ) jang@mirlab.org http://mirlab.org/jang CSIE Dept, National Taiwan University. Background. “Linear Algebra” and “Numerical Methods” tends to be too dry… Numerous theorems Rank, null space… Linear transformation Eigenvalues Gauss elimination

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Scientific Computing 科學計算

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  1. Scientific Computing科學計算 Roger Jang (張智星) jang@mirlab.org http://mirlab.org/jang CSIE Dept, National Taiwan University

  2. Background • “Linear Algebra” and “Numerical Methods” tends to be too dry… • Numerous theorems • Rank, null space… • Linear transformation • Eigenvalues • Gauss elimination • QR decomposition • … • Where is the application? • “Scientific Computing” come to the rescue! • A course to bridge the gap between LA/NM and applications • With emphases on • Problem solving • Hands-on coding • Data/approach visualization • Real-world applications

  3. Objectives (1/2) • Programming • Matrix computation • Programming paradigms • Animation & Visualization • Basics of audio and images • … • Methodologies • Least-squares estimate • Approximation • Interpolation • PDF modeling • Data clustering • Pattern recognition • Dynamic programming • Numerical optimization • …

  4. Objectives (2/2) • Applications • Personal financial computing • Loan and mortgage • Insurance • Least-square estimate • Data fitting • Data clustering • Image data compression • Object identification • Classification • Texts, audio, images… • Principal component analysis • Dimensionality reduction • Data fitting • Page rank • Google’s page rank • Team ranking • Dynamic programming • Object tracking • Fractals

  5. Prerequisites • Prerequisites for STEM (science, technology, engineering, and mathematics) students • Calculus: must • Linear algebra: must • Probability: better to have taken it already • For non-STEM students • Please talk to me first before taking the course

  6. Text and Reference Books • Textbooks • MATLAB程式設計【入門篇】 by Roger Jang • Online tutorial of Data Clustering and Pattern Recognition by Roger Jang • Note that there is no single book that covers all aspects of scientific computing. • Reference books • Experiments with MATLAB by Cleve Moler • Numerical computing with MATLAB by Cleve Moler • MATLAB程式設計【進階篇】 by Roger Jang

  7. Corpus Collection • We need to collect corpus for assignments • Face recognition  Your face photos • Query by humming  Your singing • Speaker recognition  Your voice • Age estimation from face  Your face photos at different ages • …

  8. Instructor and TAs • Instructor • Roger Jang (張智星） • Email: jang@mirlab.org • Phone • 0953-154-045 • Skype: roger_jang • Office hour: Call/email me any time to arrange an appointment (leave a message if necessary) • TAs • NTU • 董晏儒 yenjung.tung@mirlab.org • 簡嘉宏 eddie.chien@mirlab.org • NTHU • 卓真弘 aaa0025235@gmail.com

  9. Grading Policy (1/2) • Course participation: 10% • Each in-class question asked: +2% (10% top) • Interactions with TAs and fellow students (over FB, CEIBA, Email, BBS, etc.) • Roll call: -2% for each absence (no lower bound) • Assignments: ~30% • Demo required for programming assignments • Flipped learning: ~20% • Review exams • Questions and answers • Midterm & final exams: ~40% • Hand-written • Programming

  10. Grading Policy (2/2) • Note that… • The instructor reserves the right to fine-tune those percentages • All course material, assignments, exams, grading policy, etc. are more or less the same for both NTU and NTHU. • The instructor will be generous in grading, given that you have fulfilled all the requirements!

  11. Grading Policy (3/3) • 在FB社團回答同學問題，每回答三次，可以抵課堂發問一次，但還必須滿足下列條件： • 必須是與課程內容相關之技術性問題 • 回答必須正確且完整 • 同學們必須自行回報給助教，由助教審核認定

  12. Demo Time • NTU • Time: Tuesday 7-10pm • Place: CSIE Dept, 219 Computer room • NTHU • Time: Monday 7-10 pm • Place: CS Dept, 326 Computer room

  13. Similar Courses • Similar courses in the US • Introduction to Scientific Computing and Problem Solving (CS Dept, Brown Univ) • Introduction to Scientific Computing (School of Computing, Univ. of Utah) • Scientific Computing (Math Dept, New York Univ) • Scientific Computing in MATLAB (Math Dept, U. of Colorado)

  14. Important Websites • Websites for this course • Course homepage • Facebook group • CEIBA (NTU only) • MATLAB resources • MATLAB程式設計入門篇 • MATLAB程式設計進階篇 • Toolboxes written by Roger Jang

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