Information Theory 2025

This is the class home page for Information Theory 2025 Fall at GIST.

Course Period: September 1, 2025 – Dec. 17, 2025

Class Room: 대학 C동 110호

There are 26 lectures,14 lectures before midterm and 12 lectures after midterm.

Two quizzes.

There are full lecture notes and videos available https://www.youtube.com/@heung-noleelabgist2902/videos.

Class files: Link

Week Monday Wednesday  
1 9/1 Introduction to class 9/3 Probability and Random Variables  
2 9/8  Monte Hall
Lecture Note (PDF)
Summary (PDF)
Video (Link)
9/10 Information/Horse Race HW#1
3 9/15 Entropy
(Makeup)
9/17 Mutual Information
(Zoom Video)
 
4 9/22
Video links: 
Jensen’s Inequality

Relative Entropy part 1,

Relative Entropy part 2 and Mutual Information

Mutual Information,

Conditioning reduces entropy
9/24
Video links: 
Concavity of log

Concavity of Entropy : other approach

Zero MI and Independence,

Markov chain and Data Processing Inequality

State Markov Chain 2nd Thermodynamics

(No class — watch videos)
HW#2 (Homework Collection File)
Due 10/1 before Quiz#1

Grading due 10/13

Chapter2 – 3 with HW2 and HW3

Jensen Inequality

Hash Algorithm과 PoW 성공 확률

Independance – Sufficient Statistics
5 9/29


Applications to Transformer

Video links:  
Sufficient Statistics: Example and Proof 1
Sufficient Statistic Proof 2,

One more example on Sufficient Statistics,

Fano’s Inequality

Problem 2.23 Cover on Thomas Part 1
Problem 2.23 Cover on Thomas Part 2

Statistics Sufficient part 1, 
Statistics Sufficient part 2
10/1
(Quiz #1)
Video links:  
Fano’s Inequality Proof

Types of Convergences

Relationship between different types of Convergences

Law of Large Numbers & Surface Hardening

Review of Types of convergences

Asymptotic Equipartition Property (AEP)

The size of the Typical Set
HW#3
Due 10/15

Quiz #1

One more example on Sufficient Statistics

Typical Set.exel 
6 10/6 Chu-Suk Holiday 10/8 Chu-Suk Holiday  
7 10/13 


Video links:
High Probability Set vs. Typical Set,

Entropy Rate & Shannon’ s English Description,

Cesaro Mean

10/15

Video links: 
Data Compression,

Non Singular Code & Uniquely Decodable Code,

Prefix Code,

Kraft Inequality
HW#4

Due 10/23
5:00PM
8 10/20

Video links: 
Optimal Codes

Huffman Code
Huffman Codes Vs Shannon Codes

Lempel-Ziv Code

10/23   Review for Midterm

 
9 10/27 Midterm Midterm Week
10 11/3

No class. Please sutdy the note and videos

Video links: 
Communications over Channels

Introduction to Channel Capacity
11/5





Video links: 
Hamming Codes Encoding and Decoding

Erasure error correction
HW#5 Due 11/17
Post-midterm, we will use the homework posted here, rather than the homework collection.

Channel-capacity and HW5

Hamming Codes
11 11/10




Video links: 
Channel Capacity Definition,

Noisy Typewritter
11/12

Video links: 
Cap of BSC
Cap of BEC plus 1,
Cap of BEC plus 2

Weakly Symmetric channels
Symmetric channels
HW#6

due 11/24


Information Bit Error Rate for (7,4) Hamming code with HW6
12 11/17
(GIST Founding Day)
No class. Please study the video and note.

Video links: 
Channel Coding Theorem Proof
Properties of Channel Capacity,

Information bit error rate 1
Information bit error rate 2
Information bit error rate 3
11/19










Video links: 
Channel Coding Theorem Set up,
Channel Coding Theorem Key Ideas
Channel Coding Theorem Forward Proof
















Proof-of-Channel-Capacity-Theorem-HW7
13 11/24

Quiz #2





Video links:  

Converse Proof Zero Error Capacity

Converse Proof using Fano’s Inequality
11/26

Video links: 
Gaussian Channel Capacity – Differential Entropy1

Gaussian Channel Capacity – Differential Entropy2,

Gaussian Channel Motivation,
 The additive white Gaussian Channel
HW#7
due 12/8











Gaussian Channel Capacity
14 12/1

Video links: 
Gaussian Channel Capacity

Gaussian Coding Theorem Sphere Packing

Gaussian Coding Theorem Forward Backward
12/3








Video links:  
Parallel Gaussian Channels
PGC with colored noise
HW#8
Do not submit









Parallel Gaussian Channel Capacity HW8
15 12/8

Multiple Access Channels, Slepian-Wolf Coding
12/10  



Final Preparation
 
16 12/15 Final Exam Final Week
       

Course Grades

  • Midterm (30%), Final (30%)
  • Homeworks + Reviews (20%)
  • Attendance (10%): No show without prior notice and late entry into (Zoom) class considered not polite.
  • Two Quizzes (10%)