We investigate existence and uniqueness of p-means ep and the median e1 of a probability measure μ on a Finsler manifold, in relation with the convexity of the support of μ. We prove that ep is the limit point of a continuous time gradient flow. Under some additional condition which is always satisfied for p ≥ 2, a discretization of this path converges to ep. This provides an algorithm for dete...

Casting nonlocal problems in variational form and discretizing them with the finite element (FE) method facilitates use of vector calculus to prove well-posedeness, convergence, stability such schemes. Employing an FE also meshing complicated domain geometries coupling methods for local problems. However, weak involve computation a double-integral, which is computationally expensive presents se...

In this paper we propose algorithms for parameter estimation of fast-sampled homogeneous Markov chains observed in white Gaussian noise. Our algorithms are obtained by the robust discretization of stochastic differential equations involved in the estimation of continuous-time Hidden Markov Models (HMM’s) via the EM algorithm. We present two algorithms: The first is based on the robust discretiz...

Properly addressing the discretization process of continuos valued features is an important problem during decision tree learning. This paper describes four multi-interval discretization methods for induction of decision trees used in dynamic fashion. We compare two known discretization methods to two new methods proposed in this paper based on a histogram based method and a neural net based me...

background: two main muscles studied in the hand for evaluation of median nerve injuries are opponens pollicis (op) and abductor pollicis brevis (apb). however, riché-cannieu communicating branch (rccb) may limit the use of these muscles in electrodiagnosis. this condition is confusing in the case of median nerve injuries. this study was conducted to evaluate the prevalence of rccb.   methods: ...

Properly addressing the discretization process of continous valued features is an important problem during decision tree learning. This paper describes four multi-interval discretization methods for induction of decision trees used in dynamic fashion. We compare two known discretization methods to two new methods proposed in this paper based on a histogram based method and a neural net based me...