A Radar Tracking Approach to Data Mining

(Statistics and Data Mining II)

Automated decision problems are frequently encountered in statistical data processing and data mining. An heuristic filter or heuristic classifier typically has a limited set of input data from which to arrive at a set of conclusions and make a decision: REJECT, ACCEPT, or UNDETERMINED. In such cases, pre-processing the input data before applying the heuristic classifier can substantially enhance the performance of the decision system.

In this article, I’ll motivate the use of a radar-tracking algorithm to improve the performance of automated decision making and statistical estimation in data processing. I will illustrate using the website visitation statistics problem.

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Disaster Management for Web-Hosted Data

(Technology Infrastructure Series)

In case you’re taking seriously guarantees about uptime, reliability, or backups advertised by website hosting companies, you should know that most guarantees of service are an idealized concept, especially if you use a low-cost web hosting service. Now, this doesn’t mean you should avoid low-cost web hosts. What you should do is give a little thought to the “what if’s” that may arise, and what you can do before they arise to minimize the pain when they do.

In this article, I’ll go through a few situations you might want to consider, and some options you can use to reduce your risk.

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Analysis of Visitor Statistics: Data Mining in-the-Small

(Statistics and Data Mining I)

For a variety of reasons, meaningful website visitation and visitor behavior statistics are an elusive data set to generate. This article introduces the visitor statistics problem, and describes seven challenges that must be overcome by statistical and data analysis techniques aiming for accurate estimates. Along the way, we’ll encounter the “Good News Cheap, Bad News Expensive” Paradox of Data Mining — or, why information is often used “as-is”.

This article is the first in a series on algorithms, statistics and data analysis techniques (using free and open source tools) using the visitor statistics problem as a vehicle for illustration.

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LaTeX / TeX: Professional Grade Typesetting for Scientific Writing


If you haven’t done so already, you may want to start by reading the Preface to the Computing Series: Software as a Force Multiplier, Sections 1-3.

Introducing the LaTeX typsetting platform

If symbols, formulas, and equations comprise a large portion of your professional communication, then you will gain significantly by becoming proficient with the LaTeX (pronounced “lay-tech”) document preparation platform. With the right tools and a little practice, the relative ease of creating beautiful mathematical documents with LaTeX will likely mean that you leave Office in favor of LaTeX for your technical writing.

This article introduces the LaTeX platform (short for Lamport-TeX, after the mathematician Leslie Lamport), illustrates its capabilities, and highlights the key differences between using LaTeX or WYSIWYG “what you see is what you get” word processing systems such as Office.

For those that like to know the human side of the tools they use, we provide a brief history of the legendary TeX (pronounced “tech”) platform, which underpins all variations of which LaTeX is one, looks at the philosophy motivating the development of TeX, and something about its legendary creator Donald Knuth.

Don Knuth, Leslie Lamport, and an illustration of why writing mathematics in LaTeX is easier than in Word.

Don Knuth, Leslie Lamport, and an illustration of of why writing mathematics in LaTeX is easier than in Word.

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Writing Modular TeX Documents


(Mathematical Toolset Series: TeX & LaTeX, Part 3 of 3)

If you write frequently, it is likely that you have certain stock or administrative material that is included in each of your documents. You also likely spend a substantial portion of your overall effort re-writing, editing, or re-arranging material. In this situation, one of the best ways of preserving your time and your sanity is to adopt a modular approach to document development.

In this final article of the three part series on LaTeX / TeX, I will discuss a modular approach to document preparation using TeX. I’ll also provide modular templates that should make your use of TeX more efficient.

LaTeX (Maths Typesetting)

Writing Beautiful Mathematics: Getting Started with LaTeX on Windows

If you haven’t done so already, you may want to start by reading the Preface to the Computing Series: Software as a Force Multiplier, Sections 1-3.

2nd ed. Revised with new templates Sep 21, 2019, 1st ed. May 18, 2010.

Getting Started with LaTex
LaTeX (open source, free) is an essential tool to write beautifully formatted mathematics efficiently. If you have extensive mathematical symbology and have been using MS Word for this, you are using the wrong tool for the job (see Figure below). Setting up LaTeX should take no more than an hour, after which you can produce publication-ready mathematical documents quickly and reliably. This article walks you through setting up a working platform for Windows, and provides the LaTeX templates you’ll need to produce your first examples. Also shared is the source code and compilation instructions for an example paper, which you can download and modify for your own use, containing several advanced stylistic elements (endnotes, figures with captions, URLs, code listings, and epigraphs).

An example of mathematics written in LaTeX, from Finite Summation of Integer Powers (Part 3), A. Ebrahim, C. Ouellette, 2010.

An example of mathematics written in LaTeX, from Finite Summation of Integer Powers (Part 3), A. Ebrahim, C. Ouellette, 2010.

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A Course in the Philosophy and Foundations of Mathematics


An examination of mathematical methods and the search for mathematical meaning.

This article curates a reading list (most sources available freely online1) organized into a set of encounters that lie outside the standard mathematics curriculum. They are intended to enrich the reader’s understanding of mathematics and its place in scientific inquiry, increase her/his connection to the historical and philosophical questions behind the mathematics of the past and present, and gain greater satisfaction from further mathematical study. The reader should come away with a better understanding of the culture of mathematics: what mathematics is, mathematical method and meaning, and the relation of mathematics to the empirical world and to science.

We look at seven topics. These may be covered in any order, to suit your particular interests.

  1. What is Mathematics? (Its Nature and Characteristics)
  2. Reality, Truth, and the Nature of Mathematical Knowledge
  3. What is Proof? and the Problem of Certainty
  4. Some Readings in the History of Mathematics and the Evolution of Its Ideas
  5. The Search for Foundations in Mathematics
  6. Mathematics and Science
  7. Thoughts on Mathematical Practice and Mathematical Style

There is no core body of technical material to master in this course; the important thing is a feel for how, why, and in what context the core ideas of mathematics evolved, getting to the essence of their motivation, and understanding the fruits of these efforts. The course such as the below should appeal to all those who have an itch to scratch beneath the surface of mathematics, who find themselves asking “but why?”. It could be useful in all three tiers of education: secondary, post-secondary (undergraduate), and graduate, appropriately restructured.

  • Secondary school elective: to encourage bright students in mathematics, science and technology to enter the university with a broader perspective on the mathematics they will be rapidly learning there.
  • University elective course: offered as a writing-intensive seminar, intended primarily for students in the sciences and engineer: mathematics, physics, engineering.
  • Graduate level course: offered in the first year of graduate school in mathematics or applied mathematics as a supplementary seminar.

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  1. To ensure that the materials are always available for download, I am serving them from copies held on this site. If you are the author of any of these articles and would prefer to have the primary download originate from your site, please send me an email, and I will make the change.

The Advance of Sensor Networks and Autonomous Systems

The past five years have seen the emergence of a growing array of autonomous swimming, flying, and rolling vehicles, each highly sensored and capable of real-time communication with processors external to themselves. Practical designs are now commercially available for each of the four primary areas of our environment: terrestrial, marine (subsea, surface, and amphibian), atmospheric (gravity constrained), and space (orbital and planetary).

A look at a selection of these achievements in networked sensor systems will set the stage to discuss the communications layer of the ubiquitous computing stack.

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The Advance of Marine Micro-ROVs

A Versatile Tool for Marine Operations, and a Portable Undersea Platform for Small Sensors

Micro-ROVs (Remotely Operated Vehicles) are becoming increasingly capable even as their size and cost drop, opening up new possibilities for the application of undersea inspection, imaging, and measurement.

In this article, I’ll discuss four reasons why Micro-ROVs should be a routinely used part of a marine and water-side operations toolkit, and review some stand-out choices in the Micro-ROV category.

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News & Events


Data Science & Advanced Analytics

19-21.Oct.2015 (Paris, France)
2015 IEEE International Conference on Data Science & Advanced Analytics (DSAA) will consist of two main tracks, Research and Applications. The Research Track is aimed at collecting contributions related to theoretical foundations of Data Science and Data Analytics. The Applications Track is aimed at collecting contributions related to applications of Data Science and Data Analytics in real life scenarios.


Digital & Web Analytics | Predictive Analytics | Big Data Summits

14-15.May.2014 (London, UK)
At the Bishopsgate Conference Centre in London for this year’s Analytics Innovation Summit.


Booking.com: Data Science

6.Dec.2013 (Amsterdam, Netherlands)
At Booking.com’s head office in Amsterdam, one of the leading players in the eTravel space. The Booking team has a raft of interesting problems in front of them, a bunch of smart, capable data scientists, and a real appetite for applying statistical / machine learning techniques to unlock the next level of benefits. A refreshing visit!


Silicon Milkroundabout 6.0: Analytics

16.Nov, 2013 (London, UK)
At Silicon Milkroundabout 6.0 this weekend. Key question: To what extent are predictive analytics technologies at the heart of the next generation of startups?

(Location: The Old Truman Brewery, 81 Brick Lane, London E1 6QL)

Update:
There are several promising startups in UK’s East End (Silicon Valley lite). The interesting ones (to my mind) were in retail analytics, peer-to-peer lending, even a novel education startup attempting to exploit machine learning techniques. Although the recruitment atmosphere detracts somewhat, SMR is a useful way to assess the next batch of promising start-ups.

Five outstanding startups were:


Predictive Analytics World Conference

23-24.Oct, 2013 (London, UK)
At the Predictive Analytics World Conference for at least part of the Conference, schedule permitting. The programme can be found here: PAW 2013 Programme


Advanced Analytics | Big Data | Hadoop | Social Media | Digital Innovation

30.Apr-1.May, 2013 (London, UK)
At the Advanced Analytics Innovation Summit. This year’s summits are being held at the Lancaster London Hotel, London, UK. (PDF Programme)
(Online Programmes)
Advanced Analytics | Big Data | Hadoop | Social Media | Digital Innovation


Crowd-Source Analytics & Entrepreneurship

9.Mar.2013 (London, UK)
At London Business School discussing the application of advanced data discovery algorithms for a new venture crowd-sourcing business concept.


SAP F&R User Conference

18-19.Sep,2012 (Dresden, Germany)
At the SAP Forecasting & Replenishment User Conference in Dresden, Germany, at the Maritim Hotel & International Congress Centre. This Conference is well attended by senior technical staff from SAF (Simulation, Analysis, and Forecasting) group, which has now become SAP’s Centre of Excellence based out of Schweiz, Switzerland after being acquired by SAP in 2009/2010.


Predictive Analytics & Big Data Innovation Summit

18-19.Apr, 2012 (London, UK)
At the Predictive Analytics & Big Data Innovation Summit. This year, the summit is being held at the Victoria Park Plaza Hotel, London, UK.


Predictive Analytics Innovation Summit

2.Jun & 3.Jun, 2011 (London, UK)
At the Predictive Analytics Innovation Summit (Jumeirah Carlton Towers, Knightsbridge, London, UK).


Third Aladdin (Autonomous Learning Agents for Decentralised Data and Information Networks) Symposium

27.Sep.2010 (Farnborough, UK)
At the Third Aladdin Symposium on Autonomous Learning Agents for Decentralised Data and Information Networks (BAE Systems, Park Centre, Farnborough, UK).


Unmanned Underwater Vehicles Showcase (UUVS) 2010

21-22.Sep.2010 (Southampton, UK)
At the Unmanned Underwater Vehicles Showcase (UUVS) 2010 (National Oceanography Centre, Southampton, UK).


Oceanology International 2010

9-11.Mar.2010 (London, UK)
At Oceanology International 2010 (EXCEL Centre, London, UK).


Advisory Committee on Mathematics Education

2.Mar.2010 (London, UK)
At the ACME Conference 2010 (Royal Society, London, UK).


Articles Repository Online

29.Dec.2009
The Articles Repository for Mathematical Science & Technologies is now online.


Stats: 1,089,379 article views since 2010 (Aug '24 update)

Dear Readers:

Welcome to the conversation!  We publish long-form pieces as well as a curated collection of spotlighted articles covering a broader range of topics.   Notifications for new long-form articles are through the feeds (you can join below).  We love hearing from you.  Feel free to leave your thoughts in comments, or use the contact information to reach us!

Reading List…

Looking for the best long-form articles on this site? Below is a curated list by the main topics covered.

Mathematics History & Philosophy

  1. What is Mathematics?
  2. Prehistoric Origins of Mathematics
  3. The Mathematics of Uruk & Susa (3500-3000 BCE)
  4. How Algebra Became Abstract: George Peacock & the Birth of Modern Algebra (England, 1830)
  5. The Rise of Mathematical Logic: from Laws of Thoughts to Foundations for Mathematics
  6. Mathematical Finance and The Rise of the Modern Financial Marketplace
  7. A Course in the Philosophy and Foundations of Mathematics
  8. The Development of Mathematics
  9. Catalysts in the Development of Mathematics
  10. Characteristics of Modern Mathematics

Topics in Mathematics: Pure & Applied Mathematics

  1. Fuzzy Classifiers & Quantile Statistics Techniques in Continuous Data Monitoring
  2. LOGIC in a Nutshell: Theory & Applications (including a FORTH simulator and digital circuit design)
  3. Finite Summation of Integer Powers: (Part 1 | Part 2 | Part 3)
  4. The Mathematics of Duelling
  5. A Radar Tracking Approach to Data Mining
  6. Analysis of Visitor Statistics: Data Mining in-the-Small
  7. Why Zero Raised to the Zero Power IS One

Technology: Electronics & Embedded Computing

  1. Electronics in the Junior School - Gateway to Technology
  2. Coding for Pre-Schoolers - A Turtle Logo in Forth
  3. Experimenting with Microcontrollers - an Arduino development kit for under £12
  4. Making Sensors Talk for under £5, and Voice Controlled Hardware
  5. Computer Programming: A brief survey from the 1940s to the present
  6. Forth, Lisp, & Ruby: languages that make it easy to write your own domain specific language (DSL)
  7. Programming Microcontrollers: Low Power, Small Footprints & Fast Prototypes
  8. Building a 13-key pure analog electronic piano.
  9. TinyPhoto: Embedded Graphics and Low-Fat Computing
  10. Computing / Software Toolkits
  11. Assembly Language programming (Part 1 | Part 2 | Part 3)
  12. Bare Bones Programming: The C Language

Technology: Sensors & Intelligent Systems

  1. Knowledge Engineering & the Emerging Technologies of the Next Decade
  2. Sensors and Systems
  3. Unmanned Autonomous Systems & Networks of Sensors
  4. The Advance of Marine Micro-ROVs

Maths Education

  1. Maxima: A Computer Algebra System for Advanced Mathematics & Physics
  2. Teaching Enriched Mathematics, Part 1
  3. Teaching Enriched Mathematics, Part 2: Levelling Student Success Factors
  4. A Course in the Philosophy and Foundations of Mathematics
  5. Logic, Proof, and Professional Communication: five reflections
  6. Good mathematical technique and the case for mathematical insight

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