AbstractWe investigate approximations of the Riemann zeta function by truncations of its Dirichlet series and Euler product, and then construct a parameterized family of non-analytic approximations to the zeta function. Apart from a few possible exceptions near the real axis, each function in the family satisfies a Riemann Hypothesis. When the parameter is not too large, the functions have roug...
Abstract:In this talk, I will discuss in detail the convergence result of the Gaussian mixture particle filters, in which each particle in the estimation system is regarded as a Gaussian distributed random variable, rather than a simple particle as in the classical particle filters. The convergence rate of the particle system will be given. The relationship between the Gaussian mixture particl...