On Modeling Complex Processes with Numbers

On Modeling Complex Processes with Numbers

Postby Guest » Mon Jan 20, 2020 6:37 pm

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/
Attachments
Complex Systems.jpg
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Sat Jan 25, 2020 12:14 am

Big Promise of AI.jpg
Big Data (Numbers) Crunching
Big Promise of AI.jpg (23.66 KiB) Viewed 1365 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/
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Sat Jan 25, 2020 4:28 pm

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.
Attachments
Cancer.jpg
How does cancer kill you?
Cancer.jpg (10.04 KiB) Viewed 1360 times
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Thu Feb 20, 2020 4:13 pm

Relevant Reference Links:

'Mathematical Modeling News',

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

'Mathematics News',

https://phys.org/science-news/mathematics/.
Attachments
Scientific Method.gif
Scientific Method works!
Scientific Method.gif (149.52 KiB) Viewed 1295 times
A Diagram of an Intelligence Network....pdf
Math works!
(60.16 KiB) Downloaded 96 times
Schematic-representation-of-the-mathematical-modeling-process-which-was-a-significant.png
Math works!
Schematic-representation-of-the-mathematical-modeling-process-which-was-a-significant.png (73.75 KiB) Viewed 1295 times
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Mon May 11, 2020 1:21 pm

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

https://phys.org/news/2020-03-mathematicians-theory-real-world-randomness.html.
Attachments
Randomness like the throw of the dice....jpg
Randomness like the throw of the dice....jpg (14.57 KiB) Viewed 1048 times
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Sat Jul 25, 2020 10:05 am

Guest wrote:...]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/.
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Sat Aug 08, 2020 11:37 am

Attachments
Sustainable Peace Project.jpg
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Sat Nov 07, 2020 1:57 am

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?
Attachments
Popular Politicians (USA).png
Good Luck, USA!
Popular Politicians (USA).png (142.87 KiB) Viewed 878 times
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Wed Dec 02, 2020 12:54 pm

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

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.
Attachments
A NPL NN.png
Math works! :-)
A NPL NN.png (37.52 KiB) Viewed 815 times
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Thu Dec 03, 2020 11:32 pm

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

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
."
Attachments
Embryonic Geometry....jpg
Math works! Amen!
Embryonic Geometry....jpg (443.38 KiB) Viewed 797 times
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Sat Dec 19, 2020 12:31 am

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! :)
Attachments
Min-Max Principle of Chess Programming.jpeg
Min-Max Principle of Chess Programming.jpeg (30.85 KiB) Viewed 751 times
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Sat Dec 19, 2020 12:25 pm

Guest wrote: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! :D
Attachments
Modeling Medicine with Math.png
Math works! Amen!
Modeling Medicine with Math.png (239.53 KiB) Viewed 742 times
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Thu Mar 04, 2021 2:24 pm

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.
Attachments
An Universal Equation of Intelligence.gif
An Universal Equation of Intelligence.gif (21.55 KiB) Viewed 656 times
Intelligent Machine.jpeg
Intelligent Machine.jpeg (78.06 KiB) Viewed 656 times
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Sat Mar 06, 2021 6:28 pm

[url]
Guest wrote: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
 

Re: On Modeling Complex Processes with Numbers

Postby Guest » Sat Mar 06, 2021 9:25 pm

"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
 

Re: On Modeling Complex Processes with Numbers

Postby Guest » Sat Mar 06, 2021 9:44 pm

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

Re: On Modeling Complex Processes with Numbers

Postby Guest » Sun Mar 07, 2021 11:30 am

An Update:

Guest wrote:"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." :idea:
Guest
 

Re: On Modeling Complex Processes with Numbers

Postby Guest » Tue Mar 09, 2021 2:33 pm

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

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.
Attachments
Powerful AI versu Weak AI Graph by Prof. Shane Legg.pdf
Are some processes (natural or artificial) too complex for mathematical modeling or mathematical analysis?
(257.03 KiB) Downloaded 44 times
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Re: On Modeling Complex Processes with Numbers

Postby Guest » Tue Mar 09, 2021 11:11 pm

Guest wrote:"If it (anything) exists, then it can be modeled mathematically." :idea:

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).
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