Nonlinear metrics, such as the F1-score, Matthews correlation coefficient, and Fowlkes–Mallows index, are often used to evaluate performance of machine learning models, in particular, when facing imbalanced datasets that contain more samples one class than other. Recent optimal decision tree algorithms have shown remarkable progress producing trees with respect linear criteria, accuracy, but un...

In this paper, we study arbitrary regular factorial languages over a finite alphabet ?. For the set of words L(n) length n belonging to language L, investigate depth decision trees solving recognition and membership problems deterministically nondeterministically. case problem, for given word from L(n), should recognize it using queries each which, some i?{1,…,n}, returns ith letter word. ? n, ...

9 Planned Communities (PCs) present a unique opportunity for deployment of intelligent control of demand-side 10 distributed energy resources (DER) and storage, which may be organized in Microgrids (MGs). MGs require 11 balancing for maintaining safe and resilient operation. This paper discusses the implications of using MG concepts 12 for planning and control of energy systems within PCs. A no...

Breast cancer is a very serious malignant tumor originating from the breast cells. The disease occurs generally in women, but also men can rarely have it. During the prognosis of breast cancer, abnormal growth of cells in breast takes place and this growth can be in two types which are benign (non-cancerous) and malignant (cancerous). In this study, the aim is to diagnose the breast cancer usin...

A new method for predicting protein secondary structure from amino acid sequence has been developed. The method is based on multiple sequence alignment of the query sequence with all other sequences with known structure from the protein data bank (PDB) by using BLAST. The fragments of the alignments belonging to proteins from the PBD are then used for further analysis. We have studied various s...