- 3783 - ARTIFICIAL INTELLIGENCE - smarter than us? - Artificial Intelligence is discovering patterns in pure mathematics that have never been seen before. AI is proving mathematical theorems to demonstrate how machine learning can open up new avenues to exploration.
--------------- 3783 - ARTIFICIAL INTELLIGENCE - smarter than us?
- While mathematicians have been using computers to discover patterns for decades, the increasing power of “machine learning” means that these networks can work through huge swathes of data and identify patterns that haven't been spotted before.
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- In a newly published study, a research team used artificial intelligence systems developed by “DeepMind“, the same company that has been deploying AI to solve tricky biology problems and improve the accuracy of weather forecasts, to unknot some long-standing math problems.
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- Problems in mathematics are widely regarded as some of the most intellectually challenging problems. While mathematicians have used machine learning to assist in the analysis of complex data sets, this is the first time we have used computers to help us formulate conjectures or suggest possible lines of attack for unproven ideas in mathematics.
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- AI is advancing a proof for “Kazhdan-Lusztig polynomials“, a math problem involving the symmetry of higher-dimensional algebra that has remained unsolved for 40 years. A machine learning technique called a supervised learning model was able to spot a previously undiscovered relationship between two different types of mathematical knots, leading to an entirely new theorem.
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- “Knot theory” in math plays into various other challenging fields of science as well, including genetics, fluid dynamics, and even the behavior of the Sun's corona. The discoveries that AI makes can therefore lead to advances into these other areas of research.
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- One of the benefits of machine learning systems is the way that they can look for patterns and scenarios that programmers didn't specifically code them to look out for. They take their training data and apply the same principles to new situations.
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- The research shows that this sort of high-speed, ultra-reliable, large-scale data processing can act as an extra tool working with mathematicians' natural intuition. When you're dealing with complex, lengthy equations, that can make a significant difference.
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- The researchers hope that their work leads to many further partnerships between academics in the fields of mathematics and artificial intelligence, opening up the opportunity for findings that would otherwise be undiscovered.
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- Intuition can take us a long way, but AI can help us find connections the human mind might not always spot.
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December 12, 2022 ARTIFICIAL INTELLIGENCE - smarter than us? 3783
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--------------------- --- Tuesday, December 13, 2022 ---------------------------
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