シラバス参照

講義概要/Course Information
2024/06/20 現在

科目基礎情報/General Information
授業科目名
/Course title (Japanese)
Advanced Communication Engineering and Informatics Ⅲ(Computational Complexity)(学域)
英文授業科目名
/Course title (English)
Advanced Communication Engineering and Informatics Ⅲ(Computational Complexity)
科目番号
/Code
INT003c INT003d INT003g INT003h
開講年度
/Academic year
2024年度 開講年次
/Year offered
3/4
開講学期
/Semester(s) offered
後学期 開講コース・課程
/Faculty offering the course
情報理工学域
授業の方法
/Teaching method
講義 単位数
/Credits
2
科目区分
/Category
専門科目
開講類・専攻
/Cluster/Department
Ⅰ類/Ⅱ類
担当教員名
/Lecturer(s)
垂井 淳
居室
/Office
E3-824
公開E-mail
/e-mail
juntarui0@gmail.com
授業関連Webページ
/Course website
www.jtlab.cei.uec.ac.jp
更新日
/Last update
2024/02/29 18:27:13 更新状況
/Update status
公開中
/now open to public
講義情報/Course Description
主題および
達成目標(2,000文字以内)
/Themes and goals(up to 2,000 letters)
In the academic year of 2024, the subject of this course will be Computational Complexity, which studies questions such as "Which computational problems have efficient algorithms?" and "Do quantum computers have more computational power than classical computers?" The course will be an introduction to Computational Complexity, and will cover a wide spectrum of topics.
Each year, many students taking this course have not-enough experience in algorithm design and programming. After finding our the actual group of students, I will include appropriate amount of lectures about algorithm design.
前もって履修
しておくべき科目(1,000文字以内)
/Prerequisites(up to 1,000 letters)
none
前もって履修しておくこ
とが望ましい科目(1,000文字以内)
/Recommended prerequisites and preparation(up to 1,000 letters)
Students should have taken an introductory course on algorithms, and should have written at least a few computer program.
教科書等(1,000文字以内)
/Course textbooks and materials(up to 1,000 letters)
none
授業内容と
その進め方(2,000文字以内)
/Course outline and weekly schedule(up to 2,000 letters)
The following is a plan when most students have sufficient background, which is often not the case.
When augmenting the lecture by adding more explanations about algorithm design is desirable, I willl do so after interacting with students; I may decide to give one or two mini algorithm design and programming assignments, where you are given only a problem description and are asked to design your algorithm and implement it (ie write a program) .

In the first half of the course, we will discuss the following various algorithmic paradigms:
(1) learning algorithms
(2) randomized algorithms
(3) approximation algorithms
In the second half, we will discuss the following:
(1) complexity classes including important classes P and NP
(2) theory of NP-completeness
(3) theoretical cryptography

More specific plan of 15 lectures is as follows.
I will somewhat fine-tune the lecture plan after finding out backgrounds of actual class attendees.

1. overview, review of algorithm analysis
2. review of sorting algorithms and their analysis
3. explanation of programming project
4. learning algorithm (1): learning axis-parallel rectangles
5. learning algorithm (2): PAC learning paradigm
6. learning algorithm (3): learning conjunctions and DNFs
7. student presentation of programming project
8. randomized algorithm
9. approximation algorithm
10. complexity classes P and NP
11. NP-completeness (1): reduction
12. NP-completeness (2): 3SAT
13. NP-completeness (3): 3coloring
14. cryptography
15. P vs NP conjecture
実務経験を活かした
授業内容
(実務経験内容も含む)
/Course content utilizing practical experience
授業時間外の学習
(予習・復習等)(1,000文字以内)
/Preparation and review outside class(up to 1,000 letters)
at least 1.5 hour/week expected
成績評価方法
および評価基準
(最低達成基準を含む)
(1,000文字以内)
/Evaluation and grading
(up to 1,000 letters)
Grading will be based on homework reports and mini algorithm design-programming projects. To pass the course, you have to understand at least two-thirds of the topics in class well enough to the extent that you can give simple examples for explanation, and you have to complete well at least two-thirds of your homework.
オフィスアワー:
授業相談(1,000文字以内)
/Office hours(up to 1,000 letters)
Ask me after class (whichi will be lunch-break time); you can email me any time; or we can discuss about when to meet at my office
学生へのメッセージ(1,000文字以内)
/Message for students(up to 1,000 letters)
Regular UEC students from all departments are very much welcome.
その他
/Others
If you have questions about this course, please feel free to ask me by email.
キーワード
/Keywords
algorithm, computational complexity, learning algorithm, NP-completeness