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Frontiers in Mathematics and Computer Science

Frontiers in Mathematics and Computer Science. Salt Lake City Public Library, SLC, Utah Nazmus Saquib Scientific Computing and Imaging Institute. h ello!. welcome to the workshop! a imed at anyone interested to know about current advances in math and CS

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Frontiers in Mathematics and Computer Science

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  1. Frontiers in Mathematics and Computer Science Salt Lake City Public Library, SLC, Utah NazmusSaquib Scientific Computing and Imaging Institute

  2. hello! • welcome to the workshop! • aimed at • anyone interested to know about current advances in math and CS • anyone who wants to get a taste of what happens in the math and CS world

  3. prereqs • some algebra might be helpful • if no algebra background, you can still follow through the discussion • preferably, a laptop with you to try out some stuff later

  4. agenda • mathematics • chaos theory • graph theory • computer science • machine learning (artificial intelligence) • data analysis and mining

  5. agenda • mathematics • chaos theory • butterfly effect • weather forecast • fractal music • L-systems • social interactions (in facebook) • graph theory • social interactions example (continued)

  6. agenda • computer science • machine learning • big data • genetic algorithms • data mining • sentiment analysis (in facebook) • digital humanities

  7. a bit about myself • nazmussaquib (sakib) • undergraduate in {physics, computer science and mathematics} • MS in computational mathematics • research student in scientific computing and imaging institute • previous experience in robotics, particle physics and cognitive science

  8. chaos theory! • butterfly effect • coined by Lorenz – an American Mathematician and Meteorologist • small perturbations can cause big changes! • how small, and how big? • a hypothetical butterfly • pendulum example

  9. butterfly effect

  10. double pendulum

  11. philosophical implications • what causes big changes? • rumor spreading in a society • our actions can have bigger effects than we think

  12. why do we care? • weather forecast!

  13. fractals

  14. fractals

  15. fractals • start with a seed • change some properties • repeat!

  16. L-system • start  : A • rules  : (A → AB), (B → A) • which produces: • n = 0 : A • n = 1 : AB • n = 2 : ABA • n = 3 : ABAAB • n = 4 : ABAABABA • n = 5 : ABAABABAABAAB • n = 6 : ABAABABAABAABABAABABA • n = 7 : ABAABABAABAABABAABABAABAABABAABAAB

  17. L-system (algae)

  18. L-system (fractal plant)

  19. natural phenomena (romanescobroccoli)

  20. natural phenomena (frost crystals)

  21. fractal music Music Demo

  22. digital humanities • what can we do with numbers? • viewing numbers can be useful • graphs, charts, images

  23. data mining • natural language processing • sentiment Analysis • convert emotional sentences to numbers! • “I really hated reading the fifth chapter” • {0, 2*, -4, 1, 0, 0, 0} => {-8, +1}, assigned to fifth chapter. • intelligent deduction – score dictionary of emotion words.

  24. sentiment analysis in literature? Painting a Novel Sentiment evolution in “Montezumma’s Daughter” – Henry Rider Haggard

  25. visualization techniques • Example work: Hadith text comparison

  26. end of day 1 • resources • math fictions • thanks for showing up! • next time, some hands-on mathematics and computing!

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