Neural networks and Machine Learning

Neural networks and Machine Learning

Neural networks and Machine Learning By Marius Yamakou Neural Networks with time delayed connections Neurons communicate with each other through electrical signals. It is well known that these signals are oscillatory and that the properties of the oscillations depend on the characteristics of the individual neurons, how the neurons are connected, and the presence of time delays in the connections.…

Stochastic Synchronization of Chaotic Neurons

Stochastic Synchronization of Chaotic Neurons

Stochastic Synchronization of Chaotic Neurons By Marius Yamakou   Real biological neurons can show chaotic dynamics when excited by the certain external input current. The behavior of these neurons is characterized by instability and, as a result, limited predictability in time. Mathematically, a system is chaotic if it has a long-term aperiodic behavior, and if it exhibits sensitive dependence on…

Stochastic Neural Dynamics

Stochastic Neural Dynamics

Stochastic Neural Dynamics By Marius Yamakou Neural activity shows fluctuations and unpredictable transitions in its dynamics. This randomness can be an integral aspect of neuronal function; examples range from discrete fluctuations of ion channels to sudden sleep stage transitions involving the entire brain. To understand brain function as well as dysfunctions (i.e., brain pathologies), it is, therefore, necessary to develop…