Simple and Optimal Greedy Online Contention Resolution Schemes

Authors: Vasilis Livanos

NeurIPS 2022 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental 6 Experimental Results In this section, we present our experimental results which give a quantitative view into how our greedy OCRSs outperform the former state-of-the-art greedy OCRSs by [FSZ16]. For the constraint system, we consider both the single-item setting as well as randomly-generated transversal matroid constraints. The code used to run these experiments can be found in the supplementary material.
Researcher Affiliation Academia Vasilis Livanos Department of Computer Science University of Illinois Urbana-Champaign Urbana, IL 61801 livanos3@illinois.edu
Pseudocode No The paper describes algorithms in prose within the text (e.g., 'π will draw a random set R(q)...') but does not present them in structured pseudocode or algorithm blocks.
Open Source Code Yes The code used to run these experiments can be found in the supplementary material.
Open Datasets No The paper generates its own instances for experiments (e.g., 'randomly-generated transversal matroid constraints') and does not use or provide access information for a publicly available dataset.
Dataset Splits No The paper conducts simulations rather than using traditional datasets with training, validation, and testing splits.
Hardware Specification No The paper does not provide any specific hardware details (e.g., GPU/CPU models, memory specifications) used for running the experiments.
Software Dependencies No The paper mentions that code is available in supplementary material but does not list any specific software dependencies with version numbers.
Experiment Setup Yes For our experiments, we have the following parameters: N: The number of elements. For the single item setting, this varies from 10 to 100. For the transversal matroid constraint, this is set to 50. ITERATIONS: For a fixed x, the number of times we simulate the realization of the elements. This is used to approximate the selectability of each element within a reasonable estimate and is set to 200, 000. REPETITIONS: The number of times we run the entire experiment from scratch. This has no effect on the uniform instance of the single-item setting or the transversal matroid constraint, but affects the random vector x in the randomly-generated instance of the single-item setting, and is set to 10.