Algebraic Geometry and Statistical Learning Theory Quotes

“In mathematical physics, quantum field theory and statistical mechanics are characterized by the probability distribution of exp(−βH(x)) where H(x) is a Hamiltonian function. It is well known in [12] that physical problems are determined by the algebraic structure of H(x). Statistical learning theory can be understood as mathematical physics where the Hamiltonian is a random process defined by the log likelihood ratio function.”
― Sumio Watanabe, Algebraic Geometry and Statistical Learning Theory