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A Scalable Gradient-Based Optimization Framework for Sparse Minimum-Variance Portfolio Selection

  • Portfolio optimization involves selecting asset weights to minimize a risk-reward objective, such as portfolio variance.
  • Sparse portfolio selection imposes a restriction where only a limited number of assets can be included from a larger pool.
  • Proposed scalable gradient-based approach transforms the sparse selection problem into a constrained continuous optimization task using Boolean relaxation.
  • The algorithm allows for stable convex starting points, controlled progression towards a sparse binary solution, and matches commercial solvers' results in most cases.

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