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The Ethereal
Convergence analysis of particle swarm optimization using stochastic Lyapunov functions and quantifier elimination
February 05, 2020 ยท Declared Dead ยท ๐ arXiv.org
"No code URL or promise found in abstract"
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Authors
Maximilian Gerwien, Rick Voรwinkel, Hendrik Richter
arXiv ID
2002.01673
Category
cs.NE: Neural & Evolutionary
Cross-listed
cs.SC,
math.DS
Citations
1
Venue
arXiv.org
Last Checked
4 months ago
Abstract
This paper adds to the discussion about theoretical aspects of particle swarm stability by proposing to employ stochastic Lyapunov functions and to determine the convergence set by quantifier elimination. We present a computational procedure and show that this approach leads to reevaluation and extension of previously know stability regions for PSO using a Lyapunov approach under stagnation assumptions.
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