What Is The Poincaré Conjecture?

Before we start, let me put something out there. Poincaré Conjecture is one of the seven millennium problems established by the Clay Mathematics Institute. Those problems are worth a million dollars each! The Poincaré conjecture depends on the mind-numbing problem of understanding the shapes of spaces. This field of study is referred to as "topology" … Continue reading What Is The Poincaré Conjecture?

Where Does Myspace Stand After The Redesign?

Myspace recently revamped its website completely. Unfortunately, the unveiling coincided with Facebook's big announcement about Graph Search. So obviously Myspace got overshadowed! It still managed to generate some buzz, but where exactly is Myspace heading with this? They took too much time to come up with a redesigned site and social networking domain has become … Continue reading Where Does Myspace Stand After The Redesign?

Investors Are Unimpressed By Facebook’s Graph Search

Facebook unveiled its graph search recently. This announcement was highly anticipated and Facebook is banking on it to generate some revenue. While it is very good from a technological point of view, the unveiling didn't exactly impress the investors. The stock prices actually went down after the announcement. Facebook really wants to create a source … Continue reading Investors Are Unimpressed By Facebook’s Graph Search

Expectation Maximization

Probabilistic models are commonly used to model various forms of data, including physical, biological, seismic, etc. Much of their popularity can be attributed to the existence of efficient and robust procedures for learning parameters from observations. Often, however, the only data available for training a probabilistic model are incomplete. Missing values can occur which will … Continue reading Expectation Maximization