arXiv subjects
Publications and source records attributed to Minzheng Li.
We envision a machine capable of solving mathematical problems. Dividing the quantitative reasoning system into two parts: thought processes and cognitive processes, we provide probabilistic descriptions of the architecture.
The scientific question resolved by this paper is that the continuity equation appears as an equivalent language of the system of first-order linear ODE. The main result characterizes the fact that the continuity equation contains non-stochastic motion; a stochastic motion addressed by the continuity equation surely drops its stochastic part in a probabilistic indistinguishable manner.
The main result characterises the equivalence of the Newton-Raphson algorithm and PDE of conservation of electric charge. Based on this equivalence we analyse the properties of the Fisher-scoring method, a variant of Newton's method commonly used in statistics. Conjecture of embedding physics models to solve Newton's method is proposed.