Algorithms
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ALGORITHMS. Lecturer: Daniela Zaharie Room: 047 (ground floor) http: //www.info.uvt.ro/~dzaharie e-mail: [email protected] Schedule: Lecture: every Thursday at 14:40 (room A02) Seminars: Tuesday at 11:20, room 102 (Isabela Dramnesc, [email protected])

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ALGORITHMS

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Algorithms

ALGORITHMS

Lecturer: Daniela Zaharie

  • Room: 047 (ground floor)

  • http: //www.info.uvt.ro/~dzaharie

  • e-mail: [email protected]

  • Schedule:

    Lecture: every Thursday at 14:40 (room A02)

    Seminars:Tuesday at 11:20, room 102

    (Isabela Dramnesc, [email protected])

    • Group 1 (odd weeks)

    • Group 2 (even weeks)

      Lab: Tuesday

      (Marian Neagul, [email protected])

    • Subgroup 1: odd weeks, 9:40h, room 032

    • Subgroup 2: even weeks, 9:40h, room 032

    • Subgroup 3: oddweeks, 14:40h, room 032

Algorithms - Lecture 1


What is this course about

What is this course about ?

  • In our daily activity we :

    • Use a search engine (e.g. Google)

    • An e-mail application which (hopefully) has a anti-spam filter

    • Find news about friends using a social network tool (e.g. Facebook)

  • What is behind these tools?

    • Algorithms for searching, keywords matching, sorting, frequency computation, correlations identification etc.

      Examples: PageRank algorithm (Google), EdgeRank algorithm (Facebook)

Algorithms - Lecture 1


What is this course about1

What is this course about ?

PageRank – algorithm used by the Google search engine to rank the web pages [Larry Page, 1997]

Basic idea of ranking:

rank(P0)=(1-d)+d*(rank(P1)+…rank(Pk))

P0 – current page

P1,…, Pk – pages which contain links toward P0

d in (0,1) – damping factor (models the influence of time)

Web = graph

Ranking criteria = probabilistic scores

Rank computing = iterative algorithm or algebraic compution (solving as linear system)

Algorithms - Lecture 1


What is this course about2

What is this course about ?

  • EdgeRank – algorithm used in Facebook news feed (selection of news to be posted on the wall of a user)

  • Basic idea:

  • The interaction between a user and a facebook “object” (e.g. info, comment etc) defines an edge

  • Each edge is characterized by 3 factors which influence the importance of each edge: affinity, weight, age.

  • As a edge is more important the probability to be included in News is higher.

  • Some of the topics on which Facebook offers fellowships: [http://www.facebook.com/careers/fellowship.php]:

  • “Algorithmic game theory”

  • “Algorithms around social networks”

  • “Search algorithms”

Algorithms – Lecture 1


What is this course about3

What is this course about ?

  • This course is about:

    • designing and analyzing algorithms

    • abstract thinking and solving problems

  • This course is NOT:

    • a programming course

      (however the algorithms we design and analyze will be implemented in a programming language during the labs; the language which we shall use is Pythonhttp://www.python.org)

    • a math course

      (however we shall use some basic math stuff: concepts as set, function, relation; some combinatorics; proof techniques like mathematical induction or proof by contradiction)

Algorithms - Lecture 1


Why such a course could be useful for you

Why such a course could be useful for you?

  • You want to become a computer scientist

  • Then you should know that:

    at the heart of every programming task is the

    • selection,

    • adaptation,

    • discovery

      of algorithms.

All these need a good

understanding of

algorithms

Algorithms - Lecture 1


Why such a course could be useful for you1

Why such a course could be useful for you?

A computer scientist must be prepared for tasks like:

” … This is the problem. Solve it ...”

In such a situation it does not suffice to know

how to code a given algorithm

You must be able to find an adequate algorithm or even

develop a new one to solve the problem

Algorithms - Lecture 1


Why such a course could be useful for you2

Why such a course could be useful for you?

The future belongs to the computer scientists who have:

  • Content: An up to date grasp of fundamental problems and solutions

  • Method: Principles and techniques to solve the vast array of unfamiliar problems that arise in a rapidly changing field

    [Jeff Edmonds, York University, Canada]

Algorithms - Lecture 1


Syllabus

Syllabus

Fourteen lectures on:

1. Introduction to algorithmic problem solving

2. Description of the algorithms

3. Verification of algorithm correctness

4. Analysis of algorithm efficiency

5. Sorting and searching

6. Basic techniques in algorithm design:

a) divide and conquer, decrease and conquer

b) greedy

c) dynamic programming

d) backtracking, branch and bound

Algorithms - Lecture 1


Course materials

Course materials

Web page: http://www.info.uvt.ro/~dzaharie

Algorithmics - english

There you will find some downloadable materials:

- lectures files (PDF)

- lecture slides (PPT or PDF)

- exercises for seminar/lab (PDF)

If you find typos or other errors please let me know !

Algorithms - Lecture 1


Course materials1

Course materials

The course materials are based mainly on:

  • T.H. Cormen, C.E. Leiserson, R.R. Rivest - Introduction to algorithms, MIT Press 1990

    2. R. Johnsonbaugh, M. Schaefer - Algorithms, Pearson Education, 2004

    3. A. Levitin - The design & analysis of the algorithms, 2003

    and course slides of

    Jeff Edmonds (York University, Canada),

    David Luebke (Virginia University, USA),

    Steven Rudich (Carnegie Mellon University, USA) ...

Algorithms - Lecture 1


Grading policy

Grading policy

The final grade is between 1 and 10 and is based on:

Midterm written test - 20%

(during the 4th seminar)

Practical tests – 20%

(during the 3th and 5th lab)

Homework & seminar/lab activity - 20%

Final written and practical exam - 40%

(during the winter exam session)

Algorithms - Lecture 1


Some rules

Some rules

  • The homework should be finalized by the next seminar/lab; late homework is penalized with 0.2 points/week

  • At most 2 absences from seminar/lab are accepted

  • Collaboration is permitted on a conceptual level only; you can discuss with your colleagues, but written solutions must always be the result of an individual effort.Plagiarism of homework or written test is punished by not considering that homework/ test contribution to the final grade or even worse ...

Algorithms - Lecture 1


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