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Can someone please give us a better understanding in what's meant by this? > Duality in mathematics has been a profound tool for theoretical understanding. Can
by daralthus 6y ago
Can someone please give us a better understanding in what's meant by this?
> Duality in mathematics has been a profound tool for theoretical understanding. Can it be extended to develop principled computational techniques where duality and geometry are the basis for novel algorithms?
- jacobwilliamroy 6y agoIt means that DARPA is cutting corners by farming their work out to unpaid "challengers". You solve these problems at your own peril. You're participating in weapons research.
- learnstats2 6y agoHm, these are high-level concepts so it's hard. Duality in mathematics is in general a principle that objects in one category can be mapped onto another category (and vice versa), that two objects are reflections of each other in some abstract sense. https://en.wikipedia.org/wiki/Duality_(mathematics) https://en.wikipedia.org/wiki/Duality_(mathematics) It most often appears as a principle in geometry. Looking at or working with the 'dual' of something can give additional insight or allow another way of working. For example, Fourier Transform can be considered a type of duality. I'm not clear what computational techniques are expected here - I personally don't think it's a very well-formed problem.