Winter 2023

MATH - BIOINF- STAT 547: Mathematics of Data

Instructor: Prof. INDIKA Rajapakse (indikar@umich.edu)

Graduate Student Instructor (GSI): JOSHUA Pickard (jpic@umich.edu)

Location: 2260 USB (Undergraduate Science Building)

Class Time: Tuesday and Thursday, 2:30 PM - 4:00 PM

Office Hours: Wednesday and Friday (INDIKA R), 3:00 PM - 5:00 PM:  https://meet.google.com/dnm-zipr-tsb  or in person after class, Tuesday 4:00 - 5:00 PM in person at Palmer Commons 3rd Floor Common Area (JOSHUA P)

Links


References of Interest


PROBLEM OF THE DAY


PROBLEM SETS

This section includes assignments, solutions, and helpful resources. 



NOTES, SLIDES, AND PAPERS 

Date: 1-10-2023

Quote of the Day

"Ideas only realize their power when people understand them" ― Small Worlds: The Dynamics of Networks between Order and Randomness (Book) 

Papers

Date: 1-12-2023

Quote of the Day

"It is not enough to be in the right place at the right time. You should also have an open mind at the right time " ― Paul Erdos

Date: 1-17-2023

Quote of the Day

"Everything is practice" ― Pele 

Additional Reading

Date: 1-19-2023

Quote of the Day

"Optimism is the faith that leads to achievement. Nothing can be done without hope and confidence"Helen Keller 

Date: 1-23-2023

Quote of the Day

"Nature has a great simplicity and therefore a great beauty" ― Richard Feynman 

Book

Chapter 1: Dynamic Mode Decomposition: An Introduction


Date: 1-26-2023

Quote of the Day

"Science and everyday life cannot and should not be separated" ― Rosalind Franklin 

Additional Reading


Date: 1-31-2023

Quote of the Day

"I think one of the things about creativity is not to be afraid of saying the wrong thing " ― Sydney Brenner 

Papers


Date: 2-2-2023

Quote of the Day

"If you don’t believe in yourself why is anyone else going to believe in you?" ― Tom Brady

Papers


Date: 2-7-2023

Quote of the Day

"The only way to do great work is to love what you do" ― Steve Jobs 

Chapter 2: Charles Pugh. Real mathematical analysis. (Excellent Exposition!)


Papers


Date: 2-9-2023

Quote of the Day

"I wasn’t the fastest guy in the world. I wouldn’t have done well in an Olympiad or a math contest. But I like to ponder. And pondering things, just sort of thinking about it and thinking about it, turns out to be a pretty good approach " ― James Simons  

Papers


Date: 2-14-2023

Quote of the Day

"Order and simplification are the first steps toward the mastery of a subject" ― Thomas Mann 

Beautiful Talk!

Digital twins: A personalized future of computing for complex systems | Karen Willcox | TEDxUTAustin


Date: 2-16-2023

Quote of the Day

"No great discovery was ever made without a bold guess" ― Isaac Newton 


Papers

Movie: Controllability of Complex Networks - Data Visualization


Date: 2-21-2023

Quote of the Day

"I never, never in my life took a course in economics " ― Lloyd Shapley ( 2012 Nobel Prize for Economics) 

Slides: Magnus Egerstedt

Papers

Empirical Gramian

Controllability

Book

Chapter 6: DMD with Control


Date: 2-23-2023

Quote of the Day

"Be constantly on the lookout for hype"―David Heckerman

Guest Lecture: Methods for Causal Discovery (Dr. David Heckerman from Amazon)

Jamboard

Paper: 


Date: 3-07-2023

Quote of the Day

"You can always recognize truth by its beauty and simplicity"―Richard P. Feynman 

Jamboard

Other Resources:  Dr. Charles Van Loan

Papers

Books

Chapter 8: Tensor Decomposition


Date: 3-09-2023

No Class: 


Date: 3-14-2023

"When you reach the end of your rope, tie a knot in it and hang on" Franklin D. Roosevelt  

Software


Papers


Date: 3-16-2023

Guest Speaker: Ed Pagani (Ethics of Data Interpretation)


Date: 3-21-2023

"Imagination will often carry us to worlds that never were. But without it we go nowhere" Carl Sagan

Books

Chapter 8: Tensor Decomposition


Papers


Date: 3-23-2023

"No great discovery was ever made without a bold guess" Isaac Newton


Slides: Hypergraph Similarity


Papers


Date: 3-28-2023

"I don't have any magical ability. I look at a problem, play with it, work out a strategy" Terence Tao

Matrix Completion and CVX

Papers


Date: 3-30-2023

"Always work hard on something uncomfortably exciting" Larry Page 

Date: 4-04-2023

"Nothing is more practical than a good theory" Ludwing Boltzmann 

Compressive Sensing

Sparsity and Compressed Sensing

Basics of Compressed Sensing

Papers


Date: 4-06-2023

"Basically, our goal is to organize the world's information and to make it universally accessible and useful " Larry Page 

Papers

PatentsUS6285999B1


Date: 4-11-2023

"One never notices what has been done; one can only see what remains to be done" Marie Curie 

Jamboard


Papers


Date: 4-11-2023

"You teach me, I forget. You show me, I remember. You involve me, I understand" E. O. Wilson 

Jamboard

Papers

Software: PyDMD

Video: Koopman Operator Theory for Dynamical Systems, Control and Data Analytics by Prof. Igor Mezic


GENERAL READING

I will add to this list throughout the semester