Effect of input noise and output node stochastic on Wang's kWTA
Summary
Wang's kWTA model, a novel analog neural network, shows convergence even with input noise and stochastic output nodes. This study reveals the energy function under these defect conditions, expanding its practical applications.
Area of Science:
- Artificial Intelligence
- Computational Neuroscience
- Analog Computing
Background:
- The Wang's k-winner-take-all (kWTA) analog neural network model was recently proposed.
- Its finite-time convergence properties were analyzed under ideal operating conditions.
Purpose of the Study:
- To investigate the convergence behavior of Wang's kWTA model under physical defects.
- To analyze the impact of input noise and stochastic output nodes on model convergence.
Main Methods:
- Analysis of the Wang's kWTA model's convergence dynamics.
- Investigation under two defect conditions: input noise and stochastic output nodes.
- Derivation and analysis of the model's energy function under defect conditions.
Main Results:
- The Wang's kWTA model's convergence is affected by input noise and stochastic output nodes.
- An energy function for the Wang's kWTA model under these defect conditions was identified.
- The study provides insights into the robustness of the kWTA model.
Conclusions:
- Wang's kWTA model exhibits convergence properties even in the presence of operational defects.
- Understanding the energy function under defects is crucial for practical analog neural network design.
- This research extends the applicability of the kWTA model to more realistic scenarios.
Related Concept Videos
Wald-Wolfowitz Runs Test I
852
The Wald-Wolfowitz test, also known as the runs test, is a nonparametric statistical test used to assess the randomness of a sequence of two different types of elements (e.g., positive/negative values, successes/failures). It examines whether the order of the elements in a sequence is random or if there is a pattern or trend present. This nonparametric test applies to any ordered data despite the population and sample data distribution, even if a higher sample size is available.
The test works...
The test works...
852
Randomized Experiments
6.3K
The randomization process involves assigning study participants randomly to experimental or control groups based on their probability of being equally assigned. Randomization is meant to eliminate selection bias and balance known and unknown confounding factors so that the control group is similar to the treatment group as much as possible. A computer program and a random number generator can be used to assign participants to groups in a way that minimizes bias.
Simple randomization
Simple...
Simple randomization
Simple...
6.3K
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
427
Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
427
Propagation of Uncertainty from Random Error
1.9K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
1.9K
Woodward–Hoffmann Selection Rules and Microscopic Reversibility
2.2K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
2.2K
Multimachine Stability
698
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
698
