Dynamic Metric Embedding into lp Space

Authors: Kiarash Banihashem, Mohammadtaghi Hajiaghayi, Dariusz Rafal Kowalski, Jan Olkowski, Max Springer

ICML 2024 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental A. Empirical validation We tested the theoretical algorithm guarantees on three different graphs.
Researcher Affiliation Academia 1Department of Computer Science, University of Maryland, College Park, USA 2School of Computer and Cyber Sciences, Augusta University, Georgia, USA 3Department of Mathematics, University of Maryland, College Park, USA.
Pseudocode Yes Algorithm 1 Low-Diameter Randomized Decomposition (LDRD) (Bartal, 1996) and Algorithm 2 Randomized (β, R, ϵ)-Cut Decomposition
Open Source Code No The paper does not provide an unambiguous statement of releasing code or a direct link to a source-code repository for the methodology described.
Open Datasets Yes As the backbone for each graph, we used the social network of Last FM users from Asia available in the Stanford Network Analysis Project dataset (SNAP) (Leskovec & Krevl, 2014).
Dataset Splits No The paper describes the generation of dynamically changing graphs and their augmentation with edge weight changes but does not specify traditional train/validation/test dataset splits.
Hardware Specification No The paper does not provide specific hardware details (exact GPU/CPU models, processor types, or memory amounts) used for running its experiments.
Software Dependencies No The paper states that the algorithm was implemented but does not list specific software dependencies with version numbers (e.g., programming languages, libraries, or frameworks).
Experiment Setup Yes We randomly chose a subset of 150, 300, and 600 connected nodes to form three different bases of the dynamically changing network. We added random weights from a uniform distribution to these graphs. We augmented each graph by respectively 10000, 5000, and 1000 changes to the topology (queries). Each change increases the weight of a randomly and uniformly chosen edge of the graph by a number chosen from a uniform distribution whose range increases as the process progresses.