• Skip to primary navigation
  • Skip to main content
  • Skip to primary sidebar
  • Skip to footer
Coherent Path granted patent for our predictive customer journey mapping technology. Learn more→
Coherent Path Logo

Coherent Path

Personalized Email Diet For Every Customer's Tastes

  • SOLUTIONS
  • Why Coherent Path
  • RESOURCES
  • EVENTS
  • REQUEST A DEMO

The Dimension Reduction Challenge

May 29, 2015 by Greg Leibon

By Dr. Greg Leibon, CTO

The behaviour of an individual can be viewed as a time series of messages received and transactions made. In nearly any problem involving a time series like this there is a tricky problem of dimension reduction.

Imagine we are attempting to understand changing food consumptions tastes over time, perhaps with the goal of encouraging someone to consume a more healthy diet. Well, with 100s of options for each dinner, after a week there are 100,000,000,000,000 possible sequences of meals. It’s easy to see that very quickly you are unlikely to have a large enough sample population to discern much about the sequences in a direct statistical sense!

There are many tricks to compress this information, most of which involve labeling and grouping both the product and the population and picking out expert-defined relevant summary statistics. The statistics and machine learning community has also developed tools and methodologies for dealing with such sequences. Most of the usual tools (Bayesian networks, kernel regression, regression trees, multilayer perceptrons, K-nearest neighbour regression, radial basis functions, support vector regression, Markov Models … ) have been souped-up to handle time series data, but in my experience the traditional models could only handle a limited class of problems, ones involving essentially a single next step, and were not at all good at long term problems like the healthier eating problem.

A New Approach to Dimension Reduction

In this case, we need our dimension reduction to retain enough information about each unique journey in order to move an individual in a specified direction at a learned rate. After several years of research and field testing in related problem areas, I learned that maps built using hyperbolic geometry (described in more detail in the research paper available on Plos One) could provide a new canvas upon which we could build a new model – one designed specifically to handle challenges like those presented in the healthier eater problem. More generally, this patent pending approach is ideally suited to address problems that involve a longer-term objective function, like forming loyal customers… or even getting my wife to appreciate a good horror movie!

For the mathematically inclined out there – what’s your perspective on the dimension reduction challenge?

Tag iconMarketing Analytics

Primary Sidebar

Need some Coherent Thoughts in your life?

Read More

  • In the News
  • Press Releases
  • Coherent Thoughts Blog

Recent Posts

  • Coherent Thoughts: Chad S. White
  • Coherent Thoughts: Alex Chepovetsky
  • Coherent Thoughts: Mark Emond
  • How Should Retailers Adjust Their Holiday Marketing Plans?
  • How Does Standardizing Your Email Template Enable Effective Personalization?

Tags

Email Marketing Loyalty Marketing Marketing Analytics Personalization

Footer

Coherent Path Logo
  • Solutions
  • Resources
  • In The News
  • Blog
  • About Us
  • Clients & Partners
  • Careers
  • Contact Us

Send our Coherent Thoughts newsletter directly to your inbox.

  • Email
  • Facebook
  • LinkedIn
  • Twitter

© 2021 Coherent Path | Privacy Policy

We use cookies to improve your experience. By browsing our website or closing this notice, you agree to our use of cookies. Find out more about our Privacy Policy.Accept