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We developed a Hybrid Weed-Gravitational Evolutionary Algorithm (HWGEA) for complex optimization tasks. This novel algorithm enhances performance in continuous and discrete optimization, including social network influence maximization.

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Area of Science:

  • Computer Science
  • Artificial Intelligence
  • Optimization Algorithms

Background:

  • Social networks are vital for information spread, but optimizing their vast search spaces is difficult.
  • Existing optimization methods struggle with the rugged landscapes of large-scale problems.

Purpose of the Study:

  • To introduce a novel Hybrid Weed-Gravitational Evolutionary Algorithm (HWGEA) for robust continuous optimization.
  • To develop a discrete variant (DHWGEA) for efficient influence maximization in social networks.
  • To enhance the balance between exploration and exploitation in optimization.

Main Methods:

  • HWGEA unifies Invasive Weed Optimization and Gravitational Search with adaptive mutation.
  • DHWGEA incorporates topology-aware initialization, dynamic local search, and an Expected Influence Score surrogate.
  • Algorithms were tested on 23 continuous benchmarks and real-world engineering designs.

Main Results:

  • HWGEA achieved superior performance on continuous benchmarks, outperforming several established algorithms.
  • HWGEA demonstrated competitive results on engineering design problems.
  • DHWGEA provided a practical accuracy-efficiency trade-off for influence maximization, outperforming PageRank.

Conclusions:

  • HWGEA and DHWGEA offer a cohesive, scalable framework for both continuous and discrete optimization.
  • The adaptive components of the algorithms reduce the need for manual parameter tuning.
  • These algorithms provide a robust and efficient approach to complex optimization challenges in computer science and AI.