Sparse High-Dimensional Isotonic Regression

Authors: David Gamarnik, Julia Gaudio

NeurIPS 2019 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental We close with experiments on cancer classification, and show that our method significantly outperforms several standard methods.
Researcher Affiliation Academia David Gamarnik Sloan School of Management Massachusetts Institute of Technology Cambridge, MA 02139 gamarnik@mit.edu Julia Gaudio Operations Research Center Massachusetts Institute of Technology Cambridge, MA 02139 jgaudio@mit.edu
Pseudocode Yes Algorithm 1 Integer Programming Isotonic Regression (IPIR); Algorithm 2 Linear Programming Support Recovery (LPSR); Algorithm 3 Sequential Linear Programming Support Recovery (S-LPSR); Algorithm 4 Two Stage Isotonic Regression (TSIR).
Open Source Code No The paper does not provide concrete access to source code for the methodology described.
Open Datasets Yes The data is drawn from the COSMIC database [9], which is widely used in quantitative research in cancer biology. [9] Simon A. Forbes, Nidhi Bindal, Sally Bamford, Charlotte Cole, Chai Yin Kok, David Beare, Mingming Jia, Rebecca Shepherd, Kenric Leung, Andrew Menzies, Jon W. Teague, Peter J. Campbell, Michael R. Stratton, and P. Andrew Futreal. COSMIC: mining complete cancer genomes in the Catalogue of Somatic Mutations in Cancer. Nucleic Acids Research, 39(1):D945 D950, 2011.
Dataset Splits No The paper specifies training and test data, but does not explicitly mention validation splits or their sizes/percentages.
Hardware Specification No The paper does not provide specific hardware details (e.g., GPU/CPU models, memory) used for running its experiments.
Software Dependencies Yes All algorithms were implemented in Java version 8, using Gurobi version 6.0.0.
Experiment Setup Yes We keep s = 3 fixed and vary d and n. The error is Gaussian with mean 0 and variance 0.1, independent across coordinates. For k-Nearest Neighbors, k {1, 3, 5, 7, 9, 11, 15}, and for SVM, C {10, 100, 500, 1000} and m {1, 2, 3, 4}.