CascadiaPrime Cognition

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CascadiaPrime Cognition - Mathematics


Advances in mathematical understanding can lead to sudden spurts of innovation and technological discontinuities. Mathematical insight can therefore lead to strategic surprise that can provide economic, scientific and technological breakthroughs which can have profound geopolitical significance. For example, the global economy, and with it the security of billions of people, is dependent on the security of "unbreakable" (mathematical) codes. But are they unbreakable?

This is why the major global players as well as some of the smaller ones place such emphasis on mathematics research and why the job title algorithm engineer has come into existence.

There are several possible developments that might lead to the Singularity - a mathematics breakthrough is one of them.

And then there is just the mystery, beauty and elegance of this lens on the universe and perhaps what lies beyond.

    
  The Mathematics of Machine Learning (July 8, 2016)
  
  Differentiable Programming (December 2015)
  
  Why Machine Learning needs statistics(December 2015)
  
  Causal Thinking in the Twilight Zone Judea Pearl (July 2015)
  
  Claimed Breakthrough Slays Classic Computing Problem; Encryption Could Be Next (November 2015)
  
  Critical Algorithm Studies: a Reading List (November 2015)
  
  New general-purpose optimization algorithm promises order-of-magnitude speedups on some problems (October 2015)
  
  P vs. NP and the Computational Complexity Zoo
  
  Avi Wigderson on the "P vs. NP" problem - Efficient computation, internet security & the limits to human knowledge
  
  Major advance reveals limits of computation - Maybe?
  
  Sebastian Seung's Quest to Map the Human Brian - Mathematics
  
  Algorithms for the Satisfiability (SAT) Problem: A Survey (1996)
  
  Amoeba-inspired computing system outperforms conventional optimization methods
  
  Complexity No Bar to AI
  
  Stephen Wolfram: Computation and the Future of Mathematics
  
  Stephan Wolfram: Is Mathematics Invented or Discovered
  
  Stephan Wolfram:The Background and Vision of Mathematica
  
  Aaron Sloman: "Evolution, robots and mathematics"
  
  Common Probability Distributions: The Data Scientistís Crib Sheet (December 2015)
  
  Gunnar Carlsson: The Shape of Data - Topological Mapping (September 2015)
  
  The Banff International Research Station (BIRS)
  
  Institute for Pure & Applied Mathematics (IPAM)
  
  Pacific Institute for the Mathematical Sciences (PIMS, Canada)
  
  Mathematical Sciences Research Institute (MSRI, Berkeley, USA)
  
  Institute of Applied Mathematics (UBC, Canada)
  
  Simons Foundation - Advancing Research in Basic Science and Mathematics
  
  Wolfram MathWorld
  
  Austin Fowler: Quantum computing and the need for new algorithms
  
  The Achampong Theorem and national security
  
  Unconventional Computing - beyond Von Neuman and Turing - MULTI-level logic variables
  
  Method to shortcut simulations to reach previously unreachable timescales & ID practicable problems
  
  Godel's Lost Letter and P=NP (with Blogroll)
  
  Efficient discovery of overlapping communities in massive networks
  
  The Baffling and Beautiful Wormhole Between Branches of Math - Eulerís identity
  
  Live Fourier Transform demo, showing small-angle scattering patterns for some structures
  
  Look at Nothing - Blog on small-angle scattering
  
  Stanford University: Lecture 1 | The Fourier Transforms and its Applications
  
   Scott Aaronson - Thought experiments: Is There Anything Beyond Quantum Computing?
  
  Primes - a visual tribute The Riemann Hypothesis
  
   Perhaps we can rigorously develop a science of when large sections of proofs can be effectively handwaved
  
  The real 10 algorithms that dominate our world
  
  Wolfram Mathworld
  
  Algorithmia - Open Marketplace for Algorithms
  
  Axiomatic method is not fully adequate to the current mathematical practice argued
  
  International Mathematical Union
  
  Clay Mathematics Institute
  
  Simons Foundation
  
  Dusa McDuff
  
   The research interests of Henry Cohn
  
  Gil Press - A short history of digitization
  
  Encyclopedia of Integrer Sequences (OEIX) - Sloane
  
  See Also the Artificial Intelligence Section of Cascadiaprime
  
  See Also the Quantum Computing Section of Cascadiaprime
  
  See Also the Neuroscience Section of Cascadiaprime
  
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