Feature Extraction of Sequence of Keystrokes in Fixed Text Using the Multivariate Hawkes Process

In this paper, we propose a new method of extracting the features of keystrokes. The Hawkes process based on exponential excitation kernel was used to model the sequence of keystrokes in fixed text, and the intensity function vector and adjacency matrix of the model obtained through training were regarded as the characteristics of the keystrokes. A visual analysis was carried out on the CMU keystroke raw data and the feature data extracted using the proposed method. We used one-class classifier to compare the classification effect of CMU keystroke raw data and the feature data extracted by the Hawkes process model and POHMM model. The experimental results show that the feature data extracted using the proposed method contains rich information to distinguish users. In addition, the feature data extracted using the proposed method has a slightly better classification performance than the original CMU keystroke data for some users who are not easy to distinguish.

On robust weakly $ \varepsilon $-efficient solutions for multi-objective fractional programming problems under data uncertainty

<abstract><p>In this study, we use the robust optimization techniques to consider a class of multi-objective fractional programming problems in the presence of uncertain data in both of the objective function and the constraint functions. The components of the objective function vector are reported as ratios involving a convex non-negative function and a concave positive function. In addition, on applying a parametric approach, we establish $ \varepsilon $-optimality conditions for robust weakly $ \varepsilon $-efficient solution. Furthermore, we present some theorems to obtain a robust $ \varepsilon $-saddle point for uncertain multi-objective fractional problem.</p></abstract>

Inverse multiobjective optimization: Inferring decision criteria from data

It is a challenging task to identify the objectives on which a certain decision was based, in particular if several, potentially conflicting criteria are equally important and a continuous set of optimal compromise decisions exists. This task can be understood as the inverse problem of multiobjective optimization, where the goal is to find the objective function vector of a given Pareto set. To this end, we present a method to construct the objective function vector of an unconstrained multiobjective optimization problem (MOP) such that the Pareto critical set contains a given set of data points with prescribed KKT multipliers. If such an MOP can not be found, then the method instead produces an MOP whose Pareto critical set is at least close to the data points. The key idea is to consider the objective function vector in the multiobjective KKT conditions as variable and then search for the objectives that minimize the Euclidean norm of the resulting system of equations. By expressing the objectives in a finite-dimensional basis, we transform this problem into a homogeneous, linear system of equations that can be solved efficiently. Potential applications of this approach include the identification of objectives (both from clean and noisy data) and the construction of surrogate models for expensive MOPs.

Atomic Proposition and 1-Order Predicate Function for Dialectical Logic

This paper has completed main fields of making dialectical logic pure mathematically, it is involved both atomic proposition and 1-order predicate function for dialectical logic, and by state-dual, true-valued function vector, state-contradiction law into basic logic law. In addition, also defines true-valued function for logic operators so that more easy to represent atomic proposition. Some examples are given and shown that Boolean algebra, as a special case of dialectical logic, is how to operate hybridize-able with dialectical logic.

Optimization of vibrational absorber rested on linear structures under arbitrary vibrations

Vibrational absorber is one of the common approaches for vibration control in structures. In this article, optimization criteria for mechanical systems under arbitrary vibrations is presented based on a multi-purpose method whose objective function vector collects the efficiency of arbitrary reliability and indexes of structure costs. The criterion is different from conventional criteria and standards used to design structures subjected to arbitrary vibrations and is based on minimizing the changes in displacement or response acceleration of the main structure, regardless of the required function for the failure. In this study, multi-purpose optimization approach to the design of vibrational an absorber is investigated to control non-uniform structural vibrations stimulating mechanical a mechanical structure based on an arbitrary acceleration process. It is performed based on bee optimization algorithm. In the following, a numerical example is shown for a simple vibrational absorber by this way. It shows the results of cost increase for decreased possibility of deconstruction, and therefore, allows appropriate decision making and selection based on need and cost.