A minimalistic .md blog to keep a record of WSS'2020 and write notes for myself
Format: Day_i.md (as uploaded above)
A) Title: Computational Methods for Analyzing Related Problems to Bertrand's Postulates
Abstract:
1. Goal - Bertrand's Postulate states that for n>1, there is always a prime number between n and 2n. This has been proved by Chebyshev
in 1850 and later improved by Erdos in 1932. However, a related problem is to find the least value of theta so that there
exists at least one prime between n and n+O(n^theta) for sufficiently large n.
The smallest known value is theta=6/11+epsilon.
I would like to work on this problem and see if, through Mathematica, I could study the functions like Prime Number Counting
and Next Prime which are already available as functions in the Wolfram Language and discover some sort of patterns which might
arise through emperical investigation and find a better result for the same.
B) Title: Detection of Raga from a piece of Indian Classical Music using Wolfram Mathematica
Abstract:
1. Goal - In Indian Classical Music, there are over 1000 ragas that even Wikepedia does not classify, and each Indian Classical Piece
is based on one or more such Ragas. It is a difficult task to listen to one such piece and determine the raga manually, just by
expertise and experience, and your skill in Indian Classical Music can literally be determined by how much expert you are in
identifying a Raga by just listening to it.
My goal in this project is to develop a classification method using Wolfram Language such that by analyzing a raga and it's notes,
it can be determined upto a certain accuracy which Raga the piece might be based on.
Ultimately, these proposals were probably too higher-ended, and probably sort of more of a Masters' Research Thesis than a 3-weeks' project. So ultimately was suggested to work on something else by mentors.
- Tech check-in and networking with Stephen Wolfram, mentors and students
- Lectures, project time and mentor meetings
- Group meeting with Stephen Wolfram (assigned times in small groups)
- Project meeting with Stephen Wolfram (individually assigned)
- Submitting project description
- Final project deadline
- Community post deadline
- Two-minute presentations
- Poster sessions
- Graduation
- Day 1
- Day 2
- Day 3
- Day 4
- Day 5
- Day 6
- Day 7
- Day 8
- Day 9
- Day 10
- Day 11
- Day 12
- Day 13
- Day 14
- Day 15
- Day 16-17
- Day 18
- Day 19
- Day 20
A Few TODos for future:
- Lecture on Sound
- Lecture on Web Applications
- Lecture on Image Processing
- Lecture on ML Intro (by Tuseeta)
- Hands on ML-I, if possible
- Stephen's Show and Tell, that I missed
- Idea on forming a notebook with WL
- Rene's n-queens graph
- Barbara's WordCloud suggestion to form random song names