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We live in an age where learning has become an applied mathematics problem. The rigor involved in mathematics makes it closer than ever to a formal definition a
by ninetyninenine 2y ago
We live in an age where learning has become an applied mathematics problem. The rigor involved in mathematics makes it closer than ever to a formal definition about what learning actually is.
We do know modelling learning will involve fitting a multidimensional curve among a set of data points. There are multitudes of ways to do curve fitting. Our biggest issue, however, is to imitate the way the human brain does it. For this we still don't know how to do learn like a human. But we do know in it's most basic form that learning can be simply fitting a 2 dimensional straight line among a set of two dimensional data points.
- nateglims 2y agoWhat are those dimensions?
- ninetyninenine 2y agoIn it's most fundamental form those dimensions represent two quantities. Those quantities can be modelled as numbers in mathematics or given arbitrary symbolic categorical names. At a minimum we need two dimensions. At least one for input and at least another one for output.
- YeGoblynQueenne 2y agoThere are many formal definitions of (machine) learning. For example, see: A Theory of the Learnable L. G. Valiant 1984 https://web.mit.edu/6.435/www/Valiant84.pdf https://web.mit.edu/6.435/www/Valiant84.pdf Also: Statistical Learning Theory Vladminir N. Vapnik, 1998 https://www.wiley.com/en-us/Statistical+Learning+Theory-p-9780471030034 https://www.wiley.com/en-us/Statistical+Learning+Theory-p-97... And: Language identification in the limit E. Mark Gold, 1964 https://www.sciencedirect.com/science/article/pii/S0019995867911655 https://www.sciencedirect.com/science/article/pii/S001999586...