# An Introduction to Variational Autoencoders

Variational Autoencoders (VAE) are really cool machine learning models that can generate new data. It means a VAE trained on thousands of human faces can new human faces as shown above!

Recently, two types of generative models have been popular in the machine learning community, namely, Generative Adversarial Networks (GAN) and VAEs. While GANs have had more success so far, a recent Deepmind paper showed that VAEs can yield results competitive to state of the art GAN models. Furthermore, VAE generated images retain more of the diversity of training dataset than GAN counterparts. Continue reading An Introduction to Variational Autoencoders

# An Online Algorithm to Check for Bipartite Graphs

### Bipartite Graphs

A graph $$G(V, E)$$ is called bipartite if its vertices can be divided into two groups $$X$$ and $$Y$$ such that every edge connects one vertex from $$X$$ and one vertex from $$Y$$. The graph drawn below is bipartite.

Given a graph, can you determine if it is bipartite? Continue reading An Online Algorithm to Check for Bipartite Graphs

# Generating All Subsets of Size k in Python

Suppose you are given a set $$S$$ with $$n$$ elements and you need to generate every subset of size $$k$$ from it. For instance, if $$S=\{3,4,5\}$$ and $$k=2$$, then the answer would be $$\{3,4\}$$, $$\{3,5\}$$, $$\{4,5\}$$. So, how would you do that in Python?

First of all, this is a really simple exercise. Stuff like this often comes up when someone writes a moderately large script. I wanna talk about this one in particular because it has a combinatorial solution. Continue reading Generating All Subsets of Size k in Python

# Lie Detectors and the Story of Halting Turing Machines

Is it possible to design a machine that detects lies? Sure, people have already built devices called polygraphs that monitor blood pressure, respiration, pulse etc. to determine if a person is giving false information. However, that is not same as “detecting lies” because polygraphs merely measure physical effects of telling lies. On the top of that, they are hella inaccurate. I am talking about REAL lie detectors, ie. machines that can instantly validate the statements themselves. Can we actually make such machines? (*insert new startup idea*) Continue reading Lie Detectors and the Story of Halting Turing Machines