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Finding Structure and Causality in Linear Programs

arXiv 2203.15274 ↗First posted 29 Mar 2022cs.AIcited by 0

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Abstract (arXiv)

Linear Programs (LP) are celebrated widely, particularly so in machine learning where they have allowed for effectively solving probabilistic inference tasks or imposing structure on end-to-end learning systems. Their potential might seem depleted but we propose a foundational, causal perspective that reveals intriguing intra- and inter-structure relations for LP components. We conduct a systematic, empirical investigation on general-, shortest path- and energy system LPs.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 9 of its 25 references that are in the map. First posted on arXiv 29 Mar 2022.

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References · 9

  1. 2018DAGs with NO TEARS: Continuous Optimization for Structure Learningcited by 745
  2. 2019Differentiable Convex Optimization Layerscited by 458
  3. 2018Neural Relational Inference for Interacting Systemscited by 339
  4. 2016Foundations of Structural Causal Models with Cycles and Latent Variablescited by 134
  5. 2020Interior Point Solving for LP-based prediction+optimisationcited by 83
  6. 2020Learning with Differentiable Perturbed Optimizerscited by 81
  7. 2016Discovering Causal Signals in Imagescited by 79
  8. 2021CombOptNet: Fit the Right NP-Hard Problem by Learning Integer Programming Constraintscited by 49
  9. 2020Stronger and Faster Wasserstein Adversarial Attackscited by 25

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