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MY DOCTORAL LULLABY – A trail towards mathematical salvation…

A trail towards mathematical salvation...

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MY DOCTORAL LULLABY – A trail towards mathematical salvation… | abhiag6891.com Reviews
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A trail towards mathematical salvation...
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1

Notorious Coins – MY DOCTORAL LULLABY

https://abhiag6891.com/2016/10/31/notorious-coins

October 31, 2016. November 2, 2016. Have you ever found yourself reading a problem in an exam and never forget it again because it gives you chills as well as makes you want to solve it every time you come across it? Well, the geek in me found one such problem in the final exam. I took with my advisor Jared. You and an opponent are playing a game using a row of n coins of values. 2, 4, 8, 10 : You can collect maximum value 14 (10 4). 8, 20, 3, 2 : You can collect maximum value 22 (2 20). This means the o...

2

abhiag6891 – MY DOCTORAL LULLABY

https://abhiag6891.com/author/abhiag6891

A trail towards mathematical salvation…. Researcher Mathematician Coder Blogger Believer. March 17, 2017. This post is about an experiment I performed during Fall 2015 semester under the supervision of Prof. Stephanie Forrest. As part of her course on complex adaptive systems. The aim was to evolve a population of. For the experiment, the initial population of sequences was generated using the Mersenne twister inside Python 2.7.10’s random.randint(0,1) function. To evolve to a set of sequences that are *...

3

Oddtown Chronicles – MY DOCTORAL LULLABY

https://abhiag6891.com/2016/11/02/oddtown-chronicles

November 2, 2016. November 2, 2016. Today, I will be talking about a classic puzzle that uses linear algebra to attack a combinatorics problem. I first learned of this puzzle during our research group seminar here at UNM, where Jared. The problem, which is referred to as Elwyn Berlekamp Theorem in [UC726], is as follows:. Clubs satisfying the rules that each club has an odd number of members and each pair of clubs shares an even number of members. We then need to show that. Is a member of club. However, ...

4

Count to sample – MY DOCTORAL LULLABY

https://abhiag6891.com/2016/11/17/count-to-sample

November 17, 2016. November 17, 2016. This week’s post is about an interesting relation between counting and sampling, motivated from an enlightening paper [MD02] by Prof. Martin Dyer. More specifically, the paper introduces dynamic programming as a technique to aid in approximate counting and uniform sampling using a. Well, to answer this question, let’s first formalize the problem a little bit. The 0-1 knapsack problem can be written as the inequality. Here, we assume that. One way of sampling from.

5

“Irrational” Coin Flips – MY DOCTORAL LULLABY

https://abhiag6891.com/2016/10/25/irrational-coin-flips/comment-page-1

8220;Irrational” Coin Flips. 8220;Irrational” Coin Flips. October 25, 2016. October 26, 2016. Recently I came across this very interesting problem :. How can you simulate an unbiased coin flip with a biased coin? What about the other way round? What is the minimum number of biased coin flips required to generate an unbiased flip? I will be referring to the paper [MU08] for this. Unbiased Flips from biased coins. Thus, a flip is said to be unbiased if. And biased, otherwise. In other words,. Real number, ...

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MY DOCTORAL LULLABY – A trail towards mathematical salvation…

A trail towards mathematical salvation…. November 17, 2016. November 17, 2016. This week’s post is about an interesting relation between counting and sampling, motivated from an enlightening paper [MD02] by Prof. Martin Dyer. More specifically, the paper introduces dynamic programming as a technique to aid in approximate counting and uniform sampling using a. Well, to answer this question, let’s first formalize the problem a little bit. The 0-1 knapsack problem can be written as the inequality. Without a...

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