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NDCG-Consistent Softmax Approximation with Accelerated Convergence

  • The research paper introduces novel loss formulations, RG$^2$ and RG$^ imes$, to address the computational overhead and scalability issues associated with Softmax (SM) Loss in ranking tasks.
  • The RG$^2$ Loss and RG$^ imes$ Loss are derived through Taylor expansions of the SM Loss and reveal connections between different ranking loss paradigms.
  • The proposed losses are integrated with the Alternating Least Squares (ALS) optimization method to provide convergence rate analyses and generalization guarantees.
  • Empirical evaluations on real-world datasets show that the new approach achieves comparable or superior ranking performance to SM Loss while accelerating convergence significantly.
  • The framework contributes theoretical insights and efficient tools for the similarity learning community, suitable for tasks requiring a balance between ranking quality and computational efficiency.

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