Background: Interferons are some kind of natural cytokines which express in response to a variety of antigens including viral RNA, bacterial products, and tumor proteins. Interferon beta is used in the treatment of autoimmune diseases such as multiple sclerosis. Moreover, this drug inhibits cellular proliferation as well as angiogenesis and as a result, helps to cure cancer. In this research, i...

1 Preliminaries 2 1.1 Vector spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Complexity of optimization problems . . . . . . . . . . . . . . . . 2 1.2.1 Single-objective optimization problems . . . . . . . . . . . 2 1.2.2 Multi-objective optimization problems . . . . . . . . . . . 2 1.3 Parameterized complexity . . . . . . . . . . . . . . . . . . . . . . 3 1.4 Largest low...

With this note we bring again into attention a vector dual problem neglected by the contributions who have recently announced the successful healing of the trouble encountered by the classical duals to the classical linear vector optimization problem. This vector dual problem has, different to the mentioned works which are of set-valued nature, a vector objective function. Weak, strong and conv...

Speech coding systems for mobile communication have to cope with noisy channels. In particular, vector quantization as central data reduction scheme is highly sensitive to transmission errors due to the low redundancy in the encoded data. Here we present three methods for the design of a vector quantizer with enhanced robustness against transmission errors. First the optimization of the index a...

We propose an interactive technique that allows the user to visually explore the feature space around relevant images and to focus the search on only those regions in feature space that are relevant. Through the use of a novel interface, the user can adjust the exploration front around each relevant image, visually setting the range within which images are also considered to be relevant. By giv...

This research work presents original properties of the equilibrium critical (ideal) points sets for an important class of generalized dynamical systems. The existence and significant results regarding such points are specified. Strong connections with the Vector Optimization by the Efficiency and the Potential Theory together with its applications following Choquet’s boundaries are provided.

Bayesian optimization has become a successful tool for hyperparameter optimization of machine learning algorithms, such as support vector machines or deep neural networks. Despite its success, for large datasets, training and validating a single configuration often takes hours, days, or even weeks, which limits the achievable performance. To accelerate hyperparameter optimization, we propose a ...