Inverse Reinforcement Learning Through Max-Margin Algorithm

Reinforcement Learning (RL) methods provide a solution for decision-making problems under uncertainty. An agent finds a suitable policy through a reward function by interacting with a dynamic environment. However, for complex and large problems it is very difficult to specify and tune the reward function. Inverse Reinforcement Learning (IRL) may mitigate this problem by learning the reward function through expert demonstrations. This work exploits an IRL method named Max-Margin Algorithm (MMA) to learn the reward function for a robotic navigation problem. The learned reward function reveals the demonstrated policy (expert policy) better than all other policies. Results show that this method has better convergence and learned reward functions through the adopted method represents expert behavior more efficiently.

On the relative growth of Dirichlet series with zero abscissa of absolute convergence

Let $F$ and $G$ be analytic functions given by Dirichlet series with exponents increasing to $+\infty$ and zero abscissa of absolute convergence.The growth of $F$ with respect to $G$ is studied through the generalized order$$\varrho^0_{\alpha,\beta}[F]_G=\varlimsup\limits_{\sigma\uparrow 0}\dfrac{\alpha(1/|M^{-1}_G(M_F(\sigma)|)}{\beta(1/|\sigma|)}$$and the generalized lower order $$\lambda^0_{\alpha,\beta}[F]_G=\varliminf\limits_{\sigma\uparrow 0} \dfrac{\alpha(1/|M^{-1}_G(M_F(\sigma)|)}{\beta(1/|\sigma|)},$$ where $M_F(\sigma)=\sup\{|F(\sigma+it)|:\,t\in{\mathbb R}\},$ $M^{-1}_G(x)$ is the function inverse to $M_G(\sigma)$ and $\alpha$ and $\beta$ are positive increasing to $+\infty$ functions.Formulas are found for the finding these quantities.

Brain Games for Dementia: Do They Help?

Brain Gaming (BG) Interventions have been shown to improve the cognitive function of older adults with cognitive impairments (CIs). However, rigorous evaluation supporting BG effectiveness is needed. Thus, we used meta-analysis to evaluate the effectiveness of BG. Several search databases (i.e. Pubmed) were used to identify relevant randomized controlled trials (RCTs). Cochrane RoB tool evaluated risk of bias. The main outcome was the composite score of cognitive function. Inverse-variance random effects model was used to compare the pooled standardized mean difference (SMD) across studies. A total of 16 RCTs included 909 participants. The RCTs varied in sample size, gaming platform, training prescription, and cognition. The meta-analysis showed no significant effects of BG on overall cognitive function (pooled SMD = 0.08, 95% CI [-0.24 – 0.41], p = 0.61, I2 = 77%. However, due to high heterogeneity, we cannot confidently refute that BG is an effective cognitive training approach.

Відносне зростання рядів Діріхле з різними абсцисами абсолютної збіжності

УДК 517.537.72 We study the growth of a Dirichlet series with zero abscissa of absolute convergence with respect to the entire Dirichlet series by using the generalized quantities of order and lower order where is the function inverse to and is a positive increasing function growing to

Differential evolution algorithm of solving an inverse problem for the spatial Solow mathematical model

The differential evolution algorithm is applied to solve the optimization problem to reconstruct the production function (inverse problem) for the spatial Solow mathematical model using additional measurements of the gross domestic product for the fixed points. Since the inverse problem is ill-posed the regularized differential evolution is applied. For getting the optimized solution of the inverse problem the differential evolution algorithm is paralleled to 32 kernels. Numerical results for different technological levels and errors in measured data are presented and discussed.

Relationship the Fuzzy P-Ideal with Some Fuzzy Subset of BH-Algebra

This work involved some studying ,we study and prove some theorems and a propositions which determine the relationships among the notion of fuzzy p-ideal with the intersection, union, image of function, inverse function and with some other fuzzy subsets of BH-algebra, also we gave some properties of this ideal of a BH-algebra.