The Shape of Data by Jesse Johnson.
From the “about” page:
Whether your goal is to write data intensive software, use existing software to analyze large, high dimensional data sets, or to better understand and interact with the experts who do these things, you will need a strong understanding of the structure of data and how one can try to understand it. On this blog, I plan to explore and explain the basic ideas that underlie modern data analysis from a very intuitive and minimally technical perspective: by thinking of data sets as geometric objects.
When I began learning about machine learning and data mining, I found that the intuition I had formed while studying geometry was extremely valuable in understanding the basic concepts and algorithms. My main obstacle has been to figure out what types of problems others are interested in solving, and what types of solutions would make the most difference. I hope that by sharing what I know (and what I continue to learn) from my own perspective, others will help me to figure out what are the major questions that drive this field.
A new blog that addresses the topology of data, in an accessible manner.