Fully probabilistic knowledge expression and incorporation

Abstract

An exploitation of prior knowledge in parameter estimation becomes vital whenever measured data is not informative enough. Elicitation of quantified prior knowledge is a well-elaborated art in societal and medical applications but not in the engineering ones. Frequently required involvement of a facilitator is mostly unrealistic due to either facilitator's high costs or complexity of modelled relationships that cannot be grasped by humans. This paper provides a facilitator-free approach based on an advanced knowledgesharing methodology. It presents the approach on commonly available types of knowledge and applies the methodology to a normal controlled autoregressive model.

Scalable Harmonization of Complex Networks With Local Adaptive Controllers

“…It is presented in [31]. Let us note that it was proposed by the first author of [15] and successfully applied in [32]. Loosely, it follows from an application of minimum cross-entropy principle [33], [34] and its generalisation [35] allowing non-linear constraints on pds to be optimised according to this principle.…”

“…A S is given by (32) and where κ t+1 is a Gaussian noise with covariance matrix 0.001I, and U t+1 = [u 1,t+1 , u 1,t+1 ] is the vector of control inputs. The parameters of the lattice given in (34) are assumed to be unknown and recursively estimated.…”

Fully probabilistic design of hierarchical Bayesian models

“…• Currently available FPD procedures for a) merging of external knowledge [20,26], b) approximate recursive learning and stabilized forgetting [16,17,18], c) decision strategy design [2,36], and d) local adaptive control design [24], are unified for the first time via the hierarchical FPD framework of this paper.…”

“…Adopting M = M o , as asserted in (20), which is equivalent to substituting S(A|K) = S o (A|K) (19) in the right-hand side of ( 22), then…”

Self-Assembling Behavior of Smart Nanocomposite System: Ferroelectric Liquid Crystal Confined by Stretched Porous Polyethylene Film

“…Specifically, porous macromolecular materials have attracted durable attention of the scientific community [ 58 , 63 , 64 , 65 , 66 ] due to their functionality and possibility of mechanical control. Nevertheless, this is quite challenging, for a general task to predict and keep under control [ 67 , 68 , 69 ] the desired properties of the self-assembling materials. Several attempts for investigation of stretched porous polyethylene (PE) filled with LC compounds have been already done [ 56 , 70 , 71 , 72 , 73 ].…”