On Modeling Complex Processes with Numbers

[Guest]

Relevant Reference Links:

'Complex Systems',

https://en.wikipedia.org/wiki/Complex_system;

'UNIVERSALITY:
In Mysterious Pattern, Math and Nature Converge.
All complex correlated systems, from Arctic melt ponds to the Internet, appear to be governed by the same math as a random matrix.'

https://www.quantamagazine.org/in-mysterious-pattern-math-and-nature-converge-20130205/

[Guest]

Big Data (Numbers) Crunching

Big Promise of AI.jpg (23.66 KiB) Viewed 4750 times

Hmm. Some Food for Thought:

'A New Approach to Understanding How Machines Think:
Neural networks are famously incomprehensible — a computer can come up with a good answer, but not be able to explain what led to the conclusion. Been Kim is developing a “translator for humans” so that we can understand when artificial intelligence breaks down.'

https://www.quantamagazine.org/been-kim-is-building-a-translator-for-artificial-intelligence-20190110/

[Guest]

“The power of mathematical modeling truly lies in its ability to reveal previously unknown physical principles that might have been missed by some of the more qualitative approaches that take place in biology.” -- Prof. P. M. Altrock.

FYI: 'The Mathematics of Cancer -- Integrating Quantitative Models (Probabilistic models and big data (numbers) crunching)', by Prof. T. J. Joy.

https://www.wpi.edu/sites/default/files/inline-image/Departments-Programs/Mathematical-Sciences/Toni%20Joy%20Presentation_IntegratingQuantitativeModels2.pdf.

[Guest]

Relevant Reference Links:

'Mathematical Modeling News',

https://www.sciencedaily.com/news/computers_math/mathematical_modeling/;

'Mathematics News',

https://phys.org/science-news/mathematics/.

[Guest]

FYI: 'Mathematicians develop new theory to explain real-world randomness',

https://phys.org/news/2020-03-mathematicians-theory-real-world-randomness.html.

[Guest]

...]Hmm. Some Food for Thought:

'A New Approach to Understanding How Machines Think:
Neural networks are famously incomprehensible — a computer can come up with a good answer, but not be able to explain what led to the conclusion. Been Kim is developing a “translator for humans” so that we can understand when artificial intelligence breaks down.'

https://www.quantamagazine.org/been-kim-is-building-a-translator-for-artificial-intelligence-20190110/

FYI: 'The Stupidity of Artificial Intelligence: Thankfully, your brain is not a computer,'

https://asiatimes.com/2020/06/the-stupidity-of-artificial-intelligence/.

[Guest]

FYI: 'Q & A: What's math got to do with peace?'

https://phys.org/news/2020-08-qa-math-peace.html;

https://phys.org/news/2020-06-website-science-peace.html.

[Guest]

FYI: "How Game Theory Dooms the Challenger in Presidential Elections",

http://thepostrider.com/how-game-theory-dooms-the-challenger-in-presidential-elections/.

Hmm. Every six years, one party (either the Democratic Party or Republican Party) selects several candidates for the presidency of the USA, and the US citizens vote to determine who be president for six years. Afterward, the other party selects several candidates for the presidency of the USA, and again the US citizens vote to determine who will be the next president...

Could that selection process be democratic, fair, and workable?

[Guest]

"Hmm. In life and in nature, ponder the deep and essential richness of ubiquitous networks."

Artificial Intelligence Modeled by Networks of Numbers (NN):

"Shrinking massive neural networks used to model language
Date:
December 1, 2020
Source:
Massachusetts Institute of Technology
Summary:
Deep learning neural networks can be massive, demanding major computing power. In a test of the 'lottery ticket hypothesis,' researchers have found leaner, more efficient subnetworks hidden within BERT models. The discovery could make natural language processing more accessible."

Source Link: https://www.sciencedaily.com/releases/2020/12/201201144041.htm.

[Guest]

"The great science of mathematics is indispensable for the advancement of the natural sciences. Math works!"

FYI: "Biophysics: Geometry supersedes simulations
Date:
November 20, 2020
Source:
Ludwig-Maximilians-Universität München
Summary:
Physicists have introduced a new method that allows biological pattern-forming systems to be systematically characterized with the aid of mathematical analysis. The trick lies in the use of geometry to characterize the dynamics."

[Guest]

Missing Link for Previous Post:

https://www.sciencedaily.com/releases/2020/11/201120132620.htm.

[Guest]

Hmm. Chess is a zero-sum game. Computer chess programs are the best chess players in the world... And mathematics is behind the great chess engines.

Relevant Reference Links:

"AlphaZero AI beats champion chess program after teaching itself in four hours.
Google’s artificial intelligence sibling DeepMind repurposes Go-playing AI to conquer chess and shogi without aid of human knowledge."

https://www.theguardian.com/technology/2017/dec/07/alphazero-google-deepmind-ai-beats-champion-program-teaching-itself-to-play-four-hours#:~:text=Computer%20programs%20have%20been%20able%20to%20beat%20the%20best%20human,Kasparov%20on%2012%20May%201997.&text=DeepMind%20said%20the%20difference%20between,the%20basic%20rules%20of%20chess.;

"Magnus! Home movies and archival footage tells the coming of age story of a 13-year-old kid who went from bullied school boy to World Chess Champion."

https://tubitv.com/movies/527965/magnus?start=true.

Enjoy!

[Guest]

“The power of mathematical modeling truly lies in its ability to reveal previously unknown physical principles that might have been missed by some of the more qualitative approaches that take place in biology.” -- Prof. P. M. Altrock.

FYI: 'The Mathematics of Cancer -- Integrating Quantitative Models (Probabilistic models and big data (numbers) crunching)', by Prof. T. J. Joy.

https://www.wpi.edu/sites/default/files/inline-image/Departments-Programs/Mathematical-Sciences/Toni%20Joy%20Presentation_IntegratingQuantitativeModels2.pdf.

FYI: "LSA Math Professor Trachette Jackson has found math to be good medicine in the fight against cancer. A pioneer in the field of mathematical oncology, she’s helping to optimize the way doctors can use novel drugs to save patients’ lives."

https://lsa.umich.edu/lsa/news-events/lsa-magazine/Fall-2020/flip-the-script.html.

Go Blue!

[Guest]

FYI: "To create a super-intelligent machine, start with an equation."

https://theconversation.com/to-create-a-super-intelligent-machine-start-with-an-equation-20756.

[Guest]

[url]

FYI: "To create a super-intelligent machine, start with an equation."

https://theconversation.com/to-create-a-super-intelligent-machine-start-with-an-equation-20756.

Required Reading:

"Machine Super Intelligence",

http://www.vetta.org/documents/Machine_Super_Intelligence.pdf.


Enjoy!

[Guest]

"Hmm. On modeling intelligence with mathematics, please consider very carefully our short-term and long-term goals. In the short-term let's not destroy humanity (via WMDs, climate change/pollution, mass surveillance, mass control, mass domination, etc.) with our rapidly developing technologies, and in the long-term, we should seek ultimate freedom from suffering, and we should seek universal lovingkindness/compassion for all life forms with our grand/enlightening technologies. Amen!"

"If it (anything) exists, then it can be model mathematically."

[Guest]

Opps! We update the previous post to include "... enlightened technologies..."

[Guest]

An Update:

"Hmm. On modeling intelligence with mathematics, please consider very carefully our short-term and long-term goals. In the short-term let's not destroy humanity (via WMDs, climate change/pollution, mass surveillance, mass control, mass domination, etc.) with our rapidly developing technologies, and in the long-term, we should seek ultimate freedom from suffering, and we should seek universal lovingkindness/compassion for all life forms with our grand/enlightened technologies. Amen!"

"If it (anything) exists, then it can be modeled mathematically."

[Guest]

"If it (anything) exists, then it can be modeled mathematically."

On the Limits of Mathematics:

Hmm. The complexity of algorithms needed in the design of some powerful AI machines/applications may prove to be too big of a problem for mathematics.

[Guest]

"If it (anything) exists, then it can be modeled mathematically."

On the Limits of Mathematics:

Hmm. The complexity of algorithms needed in the design of some powerful AI machines/applications may prove to be too big of a problem for mathematics.

Okay. I get it. Complexity becomes a grand challenge/obstacle to our understanding of the nature of things (complex processes/interactions...) And what we do not understand may become dangerous/chaotic/uncontrollable (e.g., Advanced Artificial Intelligence).