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Image Credit: Arxiv

Constrained Machine Learning Through Hyperspherical Representation

  • The problem of ensuring constraints satisfaction on the output of machine learning models is critical for many applications, especially in safety-critical domains.
  • A novel method called Hypersherical Constrained Representation is proposed to enforce constraints in the output space for convex and bounded feasibility regions.
  • The method operates on a different representation system, where Euclidean coordinates are converted into hyperspherical coordinates relative to the constrained region, thereby ensuring only feasible points are represented.
  • Experiments on synthetic and real-world datasets show that the proposed method achieves comparable predictive performance, guarantees 100% constraint satisfaction, and has minimal computational cost at inference time.

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