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Related Concept Videos

Second-Order Circuits01:17

Second-Order Circuits

Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...
Second-order Op Amp Circuits01:19

Second-order Op Amp Circuits

Implementing second-order low-pass filters in audio systems is crucial in refining audio signals by eliminating undesirable high-frequency noise. These filters typically involve second-order op-amp circuits configured as voltage followers, encompassing two nodes with distinct storage elements.
The analysis of such circuits follows a systematic approach, similar to the second-order RLC circuits. In practical scenarios, bulky inductors are rarely employed due to their size and weight. This means...
Second Order systems II01:18

Second Order systems II

In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
If  ζ...
Second Order systems I01:20

Second Order systems I

A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
By reinterpreting the system, one can derive the closed-loop transfer function, which...
Sequence Networks of Rotating Machines01:24

Sequence Networks of Rotating Machines

A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
State Space Representation01:27

State Space Representation

The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...

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Related Experiment Videos

A generalized LSTM-like training algorithm for second-order recurrent neural networks.

Derek Monner1, James A Reggia

  • 1Department of Computer Science, University of Maryland, College Park, MD 20742, USA. dmonner@cs.umd.edu

Neural Networks : the Official Journal of the International Neural Network Society
|August 2, 2011
PubMed
Summary
This summary is machine-generated.

A new generalized long short-term memory (LSTM-g) training algorithm enhances recurrent neural network capabilities. LSTM-g offers improved locality and broader applicability for advanced deep learning models.

Related Experiment Videos

Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Deep Learning

Background:

  • Long Short-Term Memory (LSTM) networks are powerful for sequential data but have limited training applicability.
  • Original LSTM training algorithms offer spatial and temporal locality but restrict network architectures.

Purpose of the Study:

  • Introduce the generalized long short-term memory (LSTM-g) training algorithm.
  • Expand the applicability of LSTM-like locality to diverse second-order recurrent neural network architectures.
  • Improve the performance and versatility of gradient-based training for recurrent networks.

Main Methods:

  • Developed the LSTM-g training algorithm where all units share identical activation and learning instructions.
  • Applied LSTM-g to LSTM architectures with peephole connections, utilizing an additional error source.
  • Demonstrated training task-specific recurrent networks using LSTM-g.

Main Results:

  • LSTM-g provides LSTM-like locality across a wider range of network architectures.
  • LSTM-g with peephole connections can outperform the original LSTM algorithm.
  • Task-specific recurrent networks trained with LSTM-g showed superior performance compared to single-layer networks.

Conclusions:

  • LSTM-g significantly broadens the applicability of spatially and temporally local training algorithms.
  • The generalized algorithm enhances the potential for improved performance in recurrent neural networks.
  • LSTM-g facilitates the engineering of more effective recurrent networks for specific tasks.