Interaction Hard Thresholding: Consistent Sparse Quadratic Regression in Sub-quadratic Time and Space

Authors: Shuo Yang, Yanyao Shen, Sujay Sanghavi

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

Reproducibility Variable Result LLM Response
Research Type Experimental We also demonstrate its value via synthetic experiments. Moreover, we numerically show that Int HT can be extended to higher-order regression problems, and also theoretically analyze an SVRG variant of Int HT. ... 5 Synthetic Experiments To examine the sub-quadratic time and space complexity, we design three tasks to answer the following three questions:
Researcher Affiliation Academia Shuo Yang Department of Computer Science University of Texas at Austin Austin, TX 78712 yangshuo_ut@utexas.edu Yanyao Shen ECE Department University of Texas at Austin Austin, TX 78712 shenyanyao@utexas.edu Sujay Sanghavi ECE Department University of Texas at Austin Austin, TX 78712 sanghavi@mail.utexas.edu
Pseudocode Yes Algorithm 1 INTERACTION HARD THRESHOLDING (INTHT) ... Algorithm 2 APPROXIMATED TOP ELEMENTS EXTRACTION (ATEE)
Open Source Code No The paper does not provide any links to open-source code or state that the code for their method is publicly available.
Open Datasets No The paper states: "We generate feature vectors xi, whose coordinates follow i.i.d. uniform distribution on [−1, 1]. ... The output yis, are generated following x⊤i Θ xi." This indicates the use of synthetically generated data, not a publicly available dataset with concrete access information.
Dataset Splits No The paper uses synthetically generated data and mentions experiments are "averaged over 3 independent runs" or "averaged over 5 independent runs," but it does not specify explicit training, validation, or test dataset splits in terms of percentages or sample counts.
Hardware Specification No The paper does not mention any specific hardware specifications (e.g., GPU models, CPU types, memory) used for running the experiments.
Software Dependencies No The paper does not specify any software dependencies, libraries, or their version numbers used for the implementation or experiments.
Experiment Setup Yes Experimental setting ... by default, we set p = 200, d = 3, K = 20, k = 3K, η = 0.2. Support recovery results with different b-K combinations are averaged over 3 independent runs, results for m-p combinations are averaged over 5 independent runs. All experiments are terminated after 150 iterations.