# An IPython notebook on the linear perceptron

Originally posted on R196, Hilbert's Hotel:
Just mirroring a post from the other blog. Here is an IPython notebook with an implementation of the linear percepton algorithm. Details will follow in another post and I give a general idea of what it does in the notebook but here is what the picture looks like. Assuming that you have a set of points and you… Continue reading An IPython notebook on the linear perceptron

# Abstractions in math

A friend asked the following question: Describe the contrast between the abstract and the concrete [in mathematics], citing examples. Some have claimed that the notion of abstraction is itself flawed. Argue either for or against this position.” Here’s my take on it. One example comes from modeling random situations, for example when using the Normal distribution. We really like it cause it’s this continuous, unbounded, … Continue reading Abstractions in math

Originally posted on TIFFANY MARTÍNEZ:
My name is Tiffany Martínez. As a McNair Fellow and student scholar, I’ve presented at national conferences in San Francisco, San Diego, and Miami. I have crafted a critical reflection piece that was published in a peer-reviewed journal managed by the Pell Institute for the Study of Higher Education and Council for Opportunity in Education. I have consistently juggled… Continue reading Academia, Love Me Back

# Rank of centered data

Consider a matrix . In general, this matrix has rank Now, suppose we wish to column-center the data. We can do this algebraically by using what is known as the centering matrix, where is the matrix where for all . Multiplying with results to the centering of all the columns. The vector of ones is the only independent element in its nullspace and so . … Continue reading Rank of centered data

# Why am I good at mind calculations but bad at problem solving?

From: https://www.quora.com/Why-am-I-good-at-mind-calculations-but-bad-at-problem-solving I have this friend who is great at cutting vegetables. You give her whatever you want, she can shred it in seconds. However, when it comes to cooking, she needs to be shown how to combine the vegetables and understand the differences in taste and acidity of each one, etc. Otherwise she can’t progress, she is almost paralyzed by fear. Why doesn’t her … Continue reading Why am I good at mind calculations but bad at problem solving?

# But moment picking is tricky too.

This is the second part of the story that I started with the previous post. Wanting to build a quick counterexample, I wondered if I can create a random variable by solving the moment problem with only finite non-zero moments. In the language of the moment problem, my sequence was such that for all greater than some number . That is, only finite elements of … Continue reading But moment picking is tricky too.