Abstract Algebra Data Science

Throughout the course they review things like 1 1 functions onto functions surprisingly few senior math ed majors.

Abstract algebra data science. Broadly speaking in linear algebra data is represented in the form of linear equations. I am planning to take a course in abstract algebra and am wondering if there are any applications of abstract algebra in machine learning. The term abstract algebra was coined in the early 20th century to distinguish this area of study from the other parts of algebra. Algebraic structures include groups rings fields modules vector spaces lattices and algebras.

If abstract algebra helps your linear algebra then that is useful because linear algebra is a big part of lots of ml algorithms. Physical science and. Roughly speaking abstract algebra is the study of what happens when certain properties of number systems are abstracted out. Category theory is a formalism that allows a unified way for expressing.

For instance altering the definitions of the basic arithmetic operations result in a structure known as a ring so long as the operations are consistent. The number of variables as well as the number of equations may vary depending upon the condition but the representation is in form of matrices and vectors. Augmenting training image data by including reflections of images as a trick. This two semester abstract algebra course is an introduction to abstract mathematical systems including groups rings and fields and morphisms between these.

This is a juniorsenior level course intended for majors. In algebra which is a broad division of mathematics abstract algebra is the study of algebraic structures. It is assumed that students have already been introduced to various methods of proof and they are expected to write many proofs in this course. Algebraic structures with their associated homomorphisms form mathematical categories.

Rated 45 out of five stars. I can see that there are some applications in computer science but couldnt find much related to machine learning. Showing 37 total results for abstract algebra introduction to logic. The closest i have ever come to using abstract algebra in a data science project is writing a program to do some probabilistic computations which used group actions to streamline part of the computation.