Synchronization of a class of fractional-order neural networks with multiple time delays by comparison principles

This paper studies the synchronization of fractional-order neural networks with multiple time delays. Based on an inequality of fractional-order and comparison principles of linear fractional equation with multiple time delays, some sufficient conditions for synchronization of master-slave systems are obtained. Example and related simulations are given to demonstrate the feasibility of the theoretical results

Projective synchronization analysis for BAM neural networks with time-varying delay via novel control

In this paper, the projective synchronization of BAM neural networks with time-varying delays is studied. Firstly, a type of novel adaptive controller is introduced for the considered neural networks, which can achieve projective synchronization. Then, based on the adaptive controller, some novel and useful conditions are obtained to ensure the projective synchronization of considered neural networks. To our knowledge, different from other forms of synchronization, projective synchronization is more suitable to clearly represent the nonlinear systems’ fragile nature. Besides, we solve the projective synchronization problem between two different chaotic BAM neural networks, while most of the existing works only concerned with the projective synchronization chaotic systems with the same topologies. Compared with the controllers in previous papers, the designed controllers in this paper do not require any activation functions during the application process. Finally, an example is provided to show the effectiveness of the theoretical results

Global exponential synchronization of quaternion-valued memristive neural networks with time delays

This paper extends the memristive neural networks (MNNs) to quaternion field, a new class of neural networks named quaternion-valued memristive neural networks (QVMNNs) is then established, and the problem of drive-response global synchronization of this type of networks is investigated in this paper. Two cases are taken into consideration: one is with the conventional differential inclusion assumption, the other without. Criteria for the global synchronization of these two cases are achieved respectively by appropriately choosing the Lyapunov functional and applying some inequality techniques. Finally, corresponding simulation examples are presented to demonstrate the correctness of the proposed results derived in this paper

Predicción ordinal utilizando metodologías de aprendizaje automático: Aplicaciones

Artificial Intelligence is part of our everyday life, not only as consumers but also in most of the productive areas since companies can optimize most of their processes with all the different tools that it can provide. There is one topic that has been especially useful in the artificial intelligence implementation process which is machine learning, as it can be used in most of the practical applications that appear in real-life problems. Machine learning is the part of artificial intelligence that focuses on developing models that are able to learn a function that transforms input data into a desired output. One of the most important parts in machine learning is the model, and one of the most successful models in the state-of-the-art approaches is the artificial neural network. This is why the current thesis, for its first challenge, will study how to improve them to be able to learn more complex problems without needing to apply computationally costly training algorithms. The next important step to improve the model’s performance is to optimize the algorithms that are used to let them learn how to transform the inputs into the desired outputs, and the second challenge of this thesis is to optimize the computational cost of evolutionary algorithms, which are one of the best options to optimize ANNs due to their flexibility when training them. Ordinal classification (also known as ordinal regression) is an area of machine learning that can be applied to many real-life problems since it takes into account the order of the classes, which is an important fact in many real-life problems. In the area of social sciences, we will study how potential countries are helping the poorer ones the most, and then we will perform a deeper study to classify the level of globalisation of a country. These studies will be performed by applying the models and algorithms that were developed in the first stage of the thesis. After these first works, continuing with the ordinal classification approaches, we focused on the area of medicine, where there are many examples of applications of these techniques, e.g., any disease that may have progression is usually classified in different stages depending on its severity from low to high. In our case, this thesis will study how a treatment (liver transplantation) can affect different patients (survival time of the graft), and therefore decide which patient is the most appropriate for that specific treatment. The last chapter of the thesis will delve in ordinal classification to achieve ordinal prediction of time series. Time series have been usually processed with classical statistical techniques since machine learning models that focused on time series were too costly. However, currently, with the arrival of powerful computation machines together with the evolution of models such as recurrent neural networks, classic statistical techniques can hardly be competitive versus machine learning. In areas such as economics, social sciences, meteorology or medicine, time series are the main source of information, and they need to be correctly processed to be useful. The most common consideration when dealing with time series is to learn from past values to predict future ones, and the works in this last chapter will focus on performing ordinal predictions of WPREs in wind farms, creating novel models and methodologies. The thesis will conclude with a work that implements a deep neural network to predict WPREs in multiple wind farms at the same time; therefore, this model would allow predicting WPREs in a global area instead of in a specific geographical point