Circular Economy Concept in the Context of Economic Development in EU Countries

The need has arisen to implement a circular economic model that enables economic growth and prosperity in accordance with environmental protection and sustainable development because of the current unsustainable linear means of production in the economy. The aim of this paper is to determine the application of the circular economy concept in member countries of the European Union from 2008 to 2016. The purpose is to analyse whether economic development measured by GDP (gross domestic product) affects the analysed circular economy variables. Based on the hypotheses set, an econometric model was formed where GDP was identified as an independent variable, while the dependent variables were the production of municipal waste per capita, the recycling rate of municipal waste, the recycling rate of packaging waste by type of packaging, the recycling of bio-waste, and the recycling rate of e-waste. The first part of the statistical analysis conducted using the Stata software package shows the Pearson correlation between the abovestated variables, while the second part explores the univariate regression model. The results point towards the conclusion that the application of the circular economy concept can ensure economic growth and GDP growth while reducing the use of natural resources and ensuring greater environmental protection.

Risk management with Tail Quasi-Linear Means

We generalise Quasi-Linear Means by restricting to the tail of the risk distribution and show that this can be a useful quantity in risk management since it comprises in its general form the Value at Risk, the Conditional Tail Expectation and the Entropic Risk Measure in a unified way. We then investigate the fundamental properties of the proposed measure and show its unique features and implications in the risk measurement process. Furthermore, we derive formulas for truncated elliptical models of losses and provide formulas for selected members of such models.

Satire

Although scholars generally agree that satire cannot be defined in a categorical or exhaustive way, there is a consensus regarding its major features: satire is a mode, rather than a genre; it attacks historically specific targets, who are real; it is an intentional and purposeful literary form; its targets deserve ridicule on the basis of their behavior; and satire is both humorous and critical by its nature. The specificity and negativity of satire are what separates it from comedy, which tends to ridicule general types of people in ways that are ultimately redemptive. Satire is also rhetorically complex, and its critiques have a convoluted or indirect relation to the views of the author. Satire’s long history, which is not straightforwardly linear, means that it is impossible to catalogue all of the views on it from antiquity through to modernity. Modern criticism on satire, however, is easier to summarize and has often made use of ancient satirical traditions for its own purposes—especially because many early modern theorists of satire were also satirists. In particular, modern satire has generated an internal dichotomy between a rhetorical tradition of satire associated with Juvenal, and an ethical tradition associated with Horace. Most criticism of satire from the 20th century onward repeats and re-inscribes this binary in various ways. The Yale school of critics applied key insights from the New Critics to offer a rhetorical approach to satire. The Chicago school focused on the historical nature of satirical references but still presented a broadly formalist account of satire. Early 21st century criticism has moved between a rhetorical approach inflected by poststructural theory and a historicism grounded in archival research, empiricism, and period studies. Both of these approaches, however, have continued to internally reproduce a division between satire’s aesthetic qualities and its ethical or instrumental qualities. Finally, there is also a tradition of Menippean satire that differs markedly in character from traditional satire studies. While criticism of Menippean satire tends to foreground the aesthetic potential of satire over and above ethics, it also often focuses on many works that are arguably not really satirical in nature.

Integral presentation of deviations of rectangular linear means of Fourier series on classes of periodic differentiable functions

The paper deals with the problems of approximation in a uniform metric of periodic functions of many variables by trigonometric polynomials, which are generated by linear methods of summation of Fourier series. Questions of asymptotic behavior of the upper bounds of deviations of linear operators generated by the use of linear methods of summation of Fourier series on the classes of periodic differentiable functions are studied in many works. Methods of investigation of integral representations of deviations of polynomials on the classes of periodic differentiable functions of real variable originated and received its development through the works of S.M. Nikol'skii, S.B. Stechkin, N.P.Korneichuk, V.K. Dzadik, A.I. Stepanets, etc. Along with the study of approximation by linear methods of classes of functions of one variable, are studied similar problems of approximation by linear methods of classes of functions of many variables. In addition to the approximative properties of rectangular Fourier sums, are studied approximative properties of other approximation methods: the rectangular sums of Valle Poussin, Zigmund, Rogozinsky, Favar. In this paper we consider the classes of \(\overline{\psi}\)-differentiable periodic functions of many variables, allowing separately to take into account the properties of partial and mixed \(\overline{\psi}\)-derivatives, and given by analogy with the classes of \(\overline{\psi}\)-differentiable periodic functions of one variable. Integral representations of rectangular linear means of Fourier series on classes of \(\overline{\psi}\)-differentiable periodic functions of many variables are obtained. The obtained formulas can be useful for further investigation of the approximative properties of various linear rectangular methods on the classes \(\overline{\psi}\)-differentiable periodic functions of many variables in order to obtain a solution to the corresponding Kolmogorov-Nikolsky problems.

Secure Logistic Regression Based on Homomorphic Encryption: Design and Evaluation (Preprint)

BACKGROUND Learning a model without accessing raw data has been an intriguing idea to security and machine learning researchers for years. In an ideal setting, we want to encrypt sensitive data to store them on a commercial cloud and run certain analyses without ever decrypting the data to preserve privacy. Homomorphic encryption technique is a promising candidate for secure data outsourcing, but it is a very challenging task to support real-world machine learning tasks. Existing frameworks can only handle simplified cases with low-degree polynomials such as linear means classifier and linear discriminative analysis. OBJECTIVE The goal of this study is to provide a practical support to the mainstream learning models (eg, logistic regression). METHODS We adapted a novel homomorphic encryption scheme optimized for real numbers computation. We devised (1) the least squares approximation of the logistic function for accuracy and efficiency (ie, reduce computation cost) and (2) new packing and parallelization techniques. RESULTS Using real-world datasets, we evaluated the performance of our model and demonstrated its feasibility in speed and memory consumption. For example, it took approximately 116 minutes to obtain the training model from the homomorphically encrypted Edinburgh dataset. In addition, it gives fairly accurate predictions on the testing dataset. CONCLUSIONS We present the first homomorphically encrypted logistic regression outsourcing model based on the critical observation that the precision loss of classification models is sufficiently small so that the decision plan stays still.