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Perpetual Enigma

Notes from the Frontiers of Mathematics

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Tag: Statistics

What Are P-Values?

December 7, 2013May 2, 2014 ~ Prateek Joshi ~ Leave a comment

Let's say you are a part of the sub-atomic physics team and you are working on discovering an important effect. The thing about sub-atomic physics is that nothing is certain and you cannot say something has happened with 100% certainty. The best we can do is to say that we are x-percent sure that something interesting happened. … Continue reading What Are P-Values?

Gaussian Mixture Models

June 29, 2013November 1, 2013 ~ Prateek Joshi ~ 1 Comment

Let's say you have a lot of data and you want to estimate the underlying statistical model. Wait a minute, why on earth would I care about that? Well, if you estimate the model, then you can analyze unknown data that is not under our control. Some of the common examples would be weather estimation, … Continue reading Gaussian Mixture Models

Overfitting In Machine Learning

June 9, 2013July 4, 2016 ~ Prateek Joshi ~ 4 Comments

Let's say you are given a small set of data points. These data points can take any form like weight distribution of people, location of people who buy your products, types of smartphones, etc. Now your job is to estimate the underlying model. As in, if an unknown point comes in, you should to be … Continue reading Overfitting In Machine Learning

Bayesian Classifier

December 20, 2012November 2, 2013 ~ Prateek Joshi ~ 1 Comment

In machine learning, classification is the process of identifying the category of an unknown input based on the set of categories we already have. A classifier, as the name suggests, classifies things into multiple categories. It is used in various real life situations like face detection, image search, fingerprint recognition, etc. Some of the tasks are … Continue reading Bayesian Classifier

The Power Of A/B

November 22, 2012November 23, 2012 ~ Prateek Joshi ~ Leave a comment

Designing a website is more of an art than a science. There are a million different ways to design a website and achieve a particular goal. We want our websites to eventually become popular and make money. Once the site is designed, it cannot be stagnant for long either. But how do we know if … Continue reading The Power Of A/B

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