Sparse PCA with Oracle Property

Authors: Quanquan Gu, Zhaoran Wang, Han Liu

NeurIPS 2014 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental We validate the theoretical results by numerical experiments on synthetic datasets.
Researcher Affiliation Academia Quanquan Gu Department of Operations Research and Financial Engineering Princeton University Princeton, NJ 08544, USA qgu@princeton.edu Zhaoran Wang Department of Operations Research and Financial Engineering Princeton University Princeton, NJ 08544, USA zhaoran@princeton.edu Han Liu Department of Operations Research and Financial Engineering Princeton University Princeton, NJ 08544, USA hanliu@princeton.edu
Pseudocode Yes Algorithm 1 Solving Convex Relaxation (5) using ADMM.
Open Source Code No No explicit statement providing concrete access to source code for the described methodology (e.g., repository link, code release statement) was found in the paper.
Open Datasets No The paper states: 'We generate two synthetic datasets via designing two covariance matrices.' It does not provide specific access information (link, DOI, repository, or formal citation) for a publicly available or open dataset.
Dataset Splits Yes The regularization parameter λ in our estimators as well as Fantope SPCA is tuned by 5-fold cross validation on a held-out dataset.
Hardware Specification No No specific hardware details (e.g., GPU/CPU models, memory amounts, or detailed computer specifications) used for running experiments are provided in the paper.
Software Dependencies No No specific ancillary software details (e.g., library or solver names with version numbers) are provided in the paper.
Experiment Setup Yes We sample n = 80 i.i.d. observations from a normal distribution N(0, Σ) with p = 128. Both of our estimators use MCP penalty... In particular, we set b = 3. For Convex SPCA, we set τ = 2b. The regularization parameter λ in our estimators as well as Fantope SPCA is tuned by 5-fold cross validation on a held-out dataset.