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Related Concept Videos

Per-Unit Sequence Models01:26

Per-Unit Sequence Models

An ideal Y-Y transformer, grounded through neutral impedances, displays per-unit sequence networks akin to those of a single-phase ideal transformer when subjected to balanced positive- or negative-sequence currents. These currents do not produce neutral currents, and their associated voltage drops.
Zero-sequence currents, which are identical in magnitude and phase, generate a neutral current, resulting in voltage drops across the neutral impedance and the low-voltage winding. If the...
Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...
Classification of Systems-II01:31

Classification of Systems-II

Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
Basic Continuous Time Signals01:22

Basic Continuous Time Signals

Basic continuous-time signals include the unit step function, unit impulse function, and unit ramp function, collectively referred to as singularity functions. Singularity functions are characterized by discontinuities or discontinuous derivatives.
The unit step function, denoted u(t), is zero for negative time values and one for positive time values, exhibiting a discontinuity at t=0. This function often represents abrupt changes, such as the step voltage introduced when turning a car's...
Properties of Laplace Transform-II01:16

Properties of Laplace Transform-II

Time differentiation, convolution, integration, and periodicity are fundamental concepts in analyzing functions and signals over time. Each concept provides a unique perspective on how functions evolve, interact, and repeat, offering essential tools for various scientific and engineering applications.
Time differentiation involves analyzing the rate of change of a function over time. Mathematically, it is the derivative of a function with respect to time. This concept can be likened to tracking...
Linear time-invariant Systems01:23

Linear time-invariant Systems

A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be calculated...

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Related Experiment Videos

Evolving recurrent perceptrons for time-series modeling.

J R McDonnell1, D Waagen

  • 1RDT and E Div., NCCOSC, San Diego, CA.

IEEE Transactions on Neural Networks
|January 1, 1994
PubMed
Summary

This study introduces a hybrid optimization method combining evolutionary programming and Solis-Wets techniques to generate recurrent perceptrons for time-series modeling. The approach effectively determines model order and coefficients for nonlinear IIR filters.

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Area of Science:

  • Computational intelligence
  • Machine learning
  • Signal processing

Background:

  • Recurrent perceptrons are nonlinear Infinite Impulse Response (IIR) filters.
  • Evolutionary programming is a multi-agent stochastic search technique.
  • Optimizing recurrent perceptrons requires advanced search strategies.

Purpose of the Study:

  • To develop a hybrid optimization scheme for generating recurrent perceptrons.
  • To investigate the performance of the proposed hybrid stochastic search method.
  • To apply the method for determining model order and coefficients of recurrent perceptron time-series models.

Main Methods:

  • A hybrid optimization scheme embedding the Solis-Wets single-agent stochastic search into evolutionary programming.
  • Augmenting the hybrid approach with 'blending' of randomly selected parent vectors for offspring generation.
  • Utilizing an information criterion to evaluate recurrent perceptron structures.

Main Results:

  • The hybrid stochastic search method demonstrated effective performance on benchmark response surfaces (Bohachevsky and Rosenbrock).
  • The approach successfully determined both model order and coefficients for recurrent perceptron time-series models.
  • The proposed method provides a robust framework for optimizing complex filter structures.

Conclusions:

  • The hybrid optimization approach is effective for generating and optimizing recurrent perceptrons.
  • The stochastic training method can be extended to radically recurrent perceptron architectures.
  • This research contributes to advanced time-series modeling using intelligent computational techniques.