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New framework enables differentiable Knapsack and Top-k operators via dynamic programming

Researchers have developed a new framework that treats Knapsack and Top-k operators as dynamic programming problems, enabling their integration into neural networks. This approach uses differentiable relaxations to overcome the challenge of zero gradients in these discrete operators. The framework includes efficient parallel algorithms for both forward and backward passes, theoretical insights into regularization choices, and experimental validation on tasks like learning Knapsack solutions and constrained reinforcement learning. AI

IMPACT Enables more sophisticated discrete optimization within neural networks, potentially improving performance in areas like feature selection and reinforcement learning.

RANK_REASON The cluster contains a research paper detailing a new algorithmic framework and theoretical insights. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New framework enables differentiable Knapsack and Top-k operators via dynamic programming

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The cluster contains a research paper detailing a new algorithmic framework and theoretical insights. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Germain Vivier-Ardisson, Micha\"el E. Sander, Axel Parmentier, Mathieu Blondel ·

    Differentiable Knapsack and Top-k Operators via Dynamic Programming

    arXiv:2601.21775v2 Announce Type: replace Abstract: Knapsack and Top-k operators are useful for selecting discrete subsets of variables. However, their integration into neural networks is challenging as they are piecewise constant, yielding gradients that are zero almost everywhe…