2002/12/01 by David Mumford, Mumford, David · 1 voice · 4 citations
Computer Science · Biochemistry, Genetics and Molecular Biology · #Neural Networks and Applications #Blind Source Separation Techniques #Fractal and DNA sequence analysis
paper · pdf · doi:10.48550/arxiv.math/0212400
Is there a mathematical theory underlying intelligence? Control theory addresses the output side, motor control, but the work of the last 30 years has made clear that perception is a matter of Bayesian statistical inference, based on stochastic models of the signals delivered by our senses and the structures in the world producing them. We will start by sketching the simplest such model, the hidden Markov model for speech, and then go on illustrate the complications, mathematical issues and challenges that this has led to.