Efficient and Stable Fully Dynamic Facility Location

Authors: Sayan Bhattacharya, Silvio Lattanzi, Nikos Parotsidis

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

Reproducibility Variable Result LLM Response
Research Type Experimental We study the problem and provide the first algorithm that at the same time maintains a constant approximation and incurs polylogarithmic amortized recourse per update. We complement our theoretical results with an experimental analysis showing the practical efficiency of our method.
Researcher Affiliation Collaboration Sayan Bhattacharya Department of Computer Science University of Warwick Coventry, CV47AL, United Kingdom s.bhattacharya@warwick.ac.uk Silvio Lattanzi Google Research silviol@google.com Nikos Parotsidis Google Research nikosp@google.com
Pseudocode Yes Figure 1: FIX-CLUSTERING(.). (Contains numbered steps of an algorithm)
Open Source Code Yes All of our code is written in C++ and is available online 6. https://github.com/google-research/google-research/tree/master/fully_dynamic_facility_location
Open Datasets Yes We experiment with three classic datasets 5 from UCI library Dua and Graff [2017]: KDDCup Stolfo et al. [2000] (311, 029 points of dimension 74) and song Bertin-Mahieux et al. [2011] (515, 345 points of dimension 90) Census Kohavi et al. [1996] (2, 458, 285 points of dimension 68).
Dataset Splits No There is no training in this paper. The paper uses a sliding window model for data updates rather than traditional train/validation/test splits for model training.
Hardware Specification Yes We used a e2-standard-16 Google Cloud instance, with 16 cores, 2.20GHz Intel(R) Xeon(R) processor, and 64 Gi B main memory.
Software Dependencies No All of our code is written in C++. Specific version numbers for libraries or dependencies are not provided.
Experiment Setup Yes The behavior of our algorithm depends on two parameters: µ and ϵ. The parameter ϵ defines the base of the exponential bucketing scheme, and the parameter µ defines the level κ ij (see Invariant 3), so that (1+ϵ)κ ij µ 1 dij < (1+ϵ)κ ij µ. In Section 2.2 we set ϵ = 1 and µ = 3 for ease of analysis. ...explore setting values µ {1, 3} and ϵ {0.05, 1}.