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Course webpage for EN.500.111 HEART: Exploring algorithms for hard problems in computer science (Fall 2017)

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HEART: Exploring algorithms for hard problems in computer science

Wednesdays 3:00 - 4:15pm, Latrobe Hall 107
September 14 2017 – November 30 2017 (except Oct 18 and Nov 22)
Instructor: Charlotte Darby cdarby at jhu.edu

Summary

Many important optimization problems across engineering disciplines have been classified by computer scientists as computationally "hard" to solve. In this course, we'll step up to the challenge and work through the theoretical background of some of these famous problems and learn about algorithms developed to tackle them. We'll focus on graph problems, including Traveling Salesman, path-finding and graph coloring, with lessons based around visual representations and interactive activities.

Policy

These courses meet weekly for ten weeks in 90-minute sessions. Students in these tutorials are graded on a pass/fail basis only. Workload may include readings, presentations, and active participation in class, however no written work (such as papers or problem sets) may be assigned. Attendance is mandatory.
[Note: Excused absences for illness, religious holiday, emergency should be discussed with the instructor. If you have sports or an extracurricular activity that may cause you to miss class, I encourage you to still take a HEART class but register for a different section.]

Course Materials

Please get The golden ticket: P, NP, and the search for the impossible (Lance Fortnow). Readings will be assigned before and after related class sessions. E-book is fine, JHU library has it but there may be a limited number of electronic copies.

Advanced Resources

TSP

The Traveling Salesman Problem: A Computational Study (David Applegate et al).

Python tutorial on programming TSP heuristics

P vs. NP

MIT OCW Introduction to Algorithms: Computational Complexity

MIT OCW Design and Analysis of Algorithms: P,NP,NP-completeness,Reductions

Graph Paths in Bioinformatics

de Bruijn graphs and Eulerian walks from Ben Langmead's (JHU CS Professor) Coursera, Algorithms in DNA Sequencing

P vs. NP in popular culture

This episode of Elementary (CBS, 2013)

Related to the movie - essay by British mathematician G. H. Hardy A Mathematician's Apology

Cryptography

RSA Algorithm Video

Schedule

1. The The Traveling Salesman Problem (TSP)

Readings (after class 1)

In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation, Chapter 1.
The Golden Ticket, Chapter 1
Khan Academy video and the two accompanying exercises 1 2

2. P vs. NP

Readings (after class 2)

The Golden Ticket, Chapter 3, 4
New York Times article about a successful kidney transplant cycle
Refresher on DNA as preparation for Class 3

3. Graph paths in bioinformatics: genome assembly

Class Activity

Readings (after class 3)

Phillip Compeau, Pavel Pevzner, Glenn Tesler. How to apply de Bruijn graphs to genome assembly. Nature Biotech. 2011
Computational Complexity Zoo

4. P vs. NP and the Computational Complexity Zoo

Readings (after class 4)

The Golden Ticket, Chapter 6, 5
A perspective on the nuances of the TSP

5. Heuristics and Computability

Turing Machine Video
Halting Problem Video

Readings (after class 5)

"Antibodies" (short story) by Charles Stross
SIGACT News 2002 and 2012 surveys of computer scientists (William Gasarch)
The Golden Ticket, Chapter 2

6. Social implications of P vs. NP

In-class discussion

Readings (after class 6)

The Golden Ticket, Chapter 7

Pre-class research

7. Logic circuits

Quiz
Class Activity

Readings (after class 7)

The Golden Ticket, Chapter 8, 10

8. Cryptography

Lava Lamps and Random Numbers Video
RSA Concept Video (Long Bank Number)
Zero-knowlege games

Readings (after class 8)

Lance Fortnow. The Status of the P Versus NP Problem. Communications of the ACM, 2009.

Zack Grossbart. P vs. NP: The Assumption That Runs The Internet Magazine article (Smashing Magazine), 2015.

9. Presentations

Project Requirements

Liam, Eric, Sam, Matt, Christopher

10. Presentations cont'd.

Sara, David, Aidan, Elliot, Randy

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Course webpage for EN.500.111 HEART: Exploring algorithms for hard problems in computer science (Fall 2017)

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