Parsimonious Learning-Augmented Approximations for Dense Instances of $\mathcalNP$-hard Problems

Authors: Evripidis Bampis, Bruno Escoffier, Michalis Xefteris

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Reproducibility Variable Result LLM Response
Research Type Theoretical In this paper we extend and speed up this scheme using a logarithmic number of one-bit predictions. We propose a learning augmented framework which aims at finding fast algorithms which guarantees approximation consistency, smoothness and robustness with respect to the prediction error. We provide such algorithms, which moreover use predictions parsimoniously, for dense instances of various optimization problems.
Researcher Affiliation Academia 1Sorbonne Universit e, CNRS, LIP6, F-75005 Paris, France 2Institut Universitaire de France, Paris, France.
Pseudocode Yes Algorithm 1 EVALUATE(p, S, { ˆai : i S}) [...] Algorithm 2 LINEARIZE L p(x) U, S, { ˆai : i S}, ϵ
Open Source Code No The paper does not contain any explicit statements or links indicating that source code for the described methodology is provided.
Open Datasets No The paper is theoretical and does not conduct experiments on datasets, therefore there is no mention of dataset availability.
Dataset Splits No The paper is theoretical and does not conduct experiments, therefore no training, validation, or test dataset splits are described.
Hardware Specification No The paper is theoretical and does not describe any experimental setup or specific hardware used.
Software Dependencies No The paper is theoretical and does not describe any specific software dependencies or version numbers for its implementation.
Experiment Setup No The paper is theoretical and does not describe any experimental setup details such as hyperparameters or training configurations.