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Exploring the Extremes of Mountain Climbing in Multidimensional Spaces

Dive into the fascinating intersection of operational research and extreme mountain climbing in a billion-dimensional space. This conceptual exploration by Peter Richtarik examines the challenges and algorithms that underpin truss topology design, optimized by advanced techniques from data simplicity to complex machine learning models. Amidst the backdrop of Creutzfeldt-Jakob disease research and the Royal Observatory's planet growth studies, this work embodies the quest for GOD's Algorithm—unlocking profound insights through the lens of a 4-dial combination lock problem in the realm of big data.

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Exploring the Extremes of Mountain Climbing in Multidimensional Spaces

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Presentation Transcript

  1. Extreme* Mountain Climbing * in a billion dimensional space on a foggy day Peter Richtarik Operational Research and Optimization

  2. Arup (Truss Topology Design) Western General Hospital (Creutzfeldt-Jakob Disease) Ministry of Defence dstl lab (Algorithms for Data Simplicity) Royal Observatory (Optimal Planet Growth)

  3. GOD’S Algorithm = Teleportation

  4. If you are not a God... x2 x3 x0 x1

  5. 4-Dial Lock F : {0,1,...,9}4R Combination maximizing F opens the lock

  6. BIG DATA

  7. How to Open a Lock with Billion Interconnected Dials? F : R1,000,000,000R

  8. Parallel Coordinate Descent holy grail settle for this start

  9. Theory vs Reality

  10. Research Paper

  11. Algorithms

  12. Probability

  13. Inequalities

  14. Complexity

  15. TOOLS Probability HPC Matrix Theory Machine Learning

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