@ARTICLE{antunes2025softwarex, AUTHOR = {M{\'a}rio Antunes and Tyler Estro and Pranav Bhandari and Anshul Gandhi and Geoff Kuenning and Yifei Liu and Carl Waldspurger and Avani Wildani and Erez Zadok}, JOURNAL = {SoftwareX}, TITLE = "Kneeliverse: A Universal Knee-Detection Library for Performance Curves", YEAR = 2025, ISSN = {2352-7110}, PAGES = 102161, VOLUME = 30, ABSTRACT = {Identifying knee and elbow points in performance curves is a critical task in various domains, including machine learning and system design. These points represent optimal trade-offs between cost and performance, facilitating efficient decision-making and resource allocation. However, accurately determining the knees and elbows in curves poses a significant challenge. To address this challenge, we introduce Kneeliverse , an open-source library dedicated to knee/elbow point detection. Kneeliverse incorporates a suite of well-established knee-detection algorithms, including Menger, L-method, Kneedle, and DFDT. Additionally, Kneeliverse extends these algorithms to detect multiple knees and elbows in complex curves, employing a recursive approach. Kneeliverse further includes Z-Method, a recently developed algorithm specifically designed for multi-knee detection.}, DOI = {https://doi.org/10.1016/j.softx.2025.102161}, KEYWORDS = {Knee estimation, Multi-knee estimation, Optimization, Python}, URL = {https://www.sciencedirect.com/science/article/pii/S2352711025001281}, }