This paper presents a new test of independence (linear and nonlinear) among distributions, based on the entropy of Shannon. The main advantages of the presented approach are the fact that this measure does not need to assume any type of theoretical probability distribution and has the ability to capture the linear and nonlinear dependencies, without requiring the specification of any kind of de...

The paper presents a competitive prediction-style upper bound on the square loss of the Aggregating Algorithm for Regression with Changing Dependencies in the linear case. The algorithm is able to compete with a sequence of linear predictors provided the sum of squared Euclidean norms of differences of regression coefficient vectors grows at a sublinear rate.

This paper presents a new algorithm of decision rules with oblique conditions induction. It bases on the Fisher’s Linear Discriminant Analysis as a tool of finding an initial classes separation. This technique has a good ability of oblique dependencies generalisation what reduces the number of decision rules and their complexities. Keywords—classification, machine learning, Linear Discriminant ...

Markov decision processes (MDPs) with large number of states are of high practical interest. However, conventional algorithms to solve MDP are computationally infeasible in this scenario. Approximate dynamic programming (ADP) methods tackle this issue by computing approximate solutions. A widely applied ADP method is approximate linear program (ALP) which makes use of linear function approximat...

Comprehension of filler-gap dependency relations (as in this is the man who the woman is touching) is supported by Broca's area. There are two views regarding the processing role of this brain region in comprehending these dependencies. Specifists hold that Broca's area plays a specific syntactic role in processing filler-gaps. Generalists maintain that as the on-line linking of fillers and gap...

Abstract Real-world structural optimisation problems involve multiple loading conditions and design constraints, with responses typically depending on states of discretised governing equations. Generally, one uses gradient-based nested analysis approaches to solve these problems. Herein, solving both physical adjoint dominates the overall computational effort. Although not commonly detected, re...