mathematics

Vector Spaces

24/01/2017 By debkr

Thought on waking this morning:

Vector Spaces*

Had gone to bed asking: ‘OK so what should I do for our AI system? What’s next?’

Assume this answer means I should be studying Vector Spaces – and hence Linear Algebra – more fully for my delve into AI.

Makes sense given LA is such a strong math basis for all ML courses out there, also for AI generally.

But I can’t help wondering if this also relates somehow to my recent Systems Struggles. E.g. the vector space is an abstract mathematical way of representing a realworld physical geometric reality. Can this offer a parallel to Systems Modelling which might [Read more…] about Vector Spaces

Mathematics Mondays (revising some basics)

18/07/2016 By debkr

Here’s a quick revision and recap on some basic maths and linear algebra needed when studying Machine Learning. This will covers basics of calculus and linear algebra. A future post will revise some basic statistics, then I’ll go on todo some quick example calculations of standard deviations, derivatives and matrix determinants.

1. Linear Algebra – matrix multiplication:
Matrices can basically be though of as arrays of numbers, which might be a simple array (equating to a list in Python) which can be expressed as a simple one-row or one-column matrix:

, or they might be more complex matrices with multiple rows or columns: [Read more…] about Mathematics Mondays (revising some basics)

Mathematics Monday: Simple linear regression (revision)

13/06/2016 By debkr

Mathematical compass:
Someone recently suggested I make mathematics my compass (while I was busy diving down rabbit holes reading up on twistors and the like). Maybe they’re correct. I realised that if I was going to do that, I’d need to brush up on my map-reading skills first!

I’ve been so busy engrossed in learning Python I’ve sorely neglected the other streams of the training syllabus I set myself back in late February (is it really that long ago?). So I decided I need to dedicate at least one day a week to bringing my maths back up to speed.

I’m having to start almost back at square one. (Demoralising.) Calculus is a tad rusty to say the least: serious revision required. Did I really quit accountancy for this? Appears to be madness. Surely there’s some hidden logic in there somewhere, it just seems pretty elusive right now. Well, onwards and upwards anyway… [Read more…] about Mathematics Monday: Simple linear regression (revision)