Atabey Kaygun

Atabey Kaygun

Mathematician

Bio: I do homological and homotopical algebra in the context of noncommutative geometry. You can find a detailed exposition of my past research, my present and future research interests in my research statement. Specifically I am interested in, Hopf equivariant cohomology theories, various flavors of Hochschild (co)homology, cyclic (co)homology and K-Theory. I am also intrested in abstract homotopical algebra, operads, PROPs and their algebras. For the visually inclined, I have a map of my slanted view of the noncommutative geometry landscape.

A Stochastic Gradient Descent Implementation in Clojure

A Stochastic Gradient Descent Implementation in Clojure

Description of the problem Gradient Descent is an algorithm that finds local extremum points of a real valued function with several variables.  As such it is a go-to algorithm for many optimization problems that appear in the context of machine learning.  I wrote an implementation optimizing Linear Regression and Logistic Regression cost functions in Common Lisp in the past. These cost functions […]

Jester Dataset: What make’s You laugh?

Jester Dataset: What make’s You laugh?

Description of the Problem The Jester Dataset 1 consists of ratings of 100 specific jokes collected from 70,000 anonymized users between 1999 and 2003. Today, I am going to use SVD to decide which jokes are deemed to be the funniest and which deemed as unfunniest by these users. Algorithm I will form a large […]