An Improved Analysis of Alternating Minimization for Structured Multi-Response Regression
Authors: Sheng Chen, Arindam Banerjee
NeurIPS 2018 | Conference PDF | Archive PDF | Plain Text | LLM Run Details
| Reproducibility Variable | Result | LLM Response |
|---|---|---|
| Research Type | Experimental | Experimental results support our theoretical developments. |
| Researcher Affiliation | Collaboration | Sheng Chen The Voleon Group chen2832@umn.edu Arindam Banerjee Dept. of Computer Science & Engineering University of Minnesota, Twin Cities banerjee@cs.umn.edu |
| Pseudocode | Yes | Algorithm 1 Alternating minimization for multi-response regression |
| Open Source Code | No | The paper does not provide an explicit statement or link for open-source code availability. |
| Open Datasets | No | The paper uses synthetically generated data: 'Entries of X of η are generated by i.i.d. standard Gaussian, and θ = [1, . . . , 1 | {z } 10 , 1, . . . , 1 | {z } 10 , 0, . . . , 0 | {z } 980 ]T . Σ is given as a block diagonal matrix with Σ = h 1 a a 1 i replicated along the diagonal.' No access information is provided. |
| Dataset Splits | No | The paper mentions 'sample size n' but does not specify training, validation, and test dataset splits with percentages or counts for their experiments. |
| Hardware Specification | No | The paper does not provide specific hardware details (e.g., CPU, GPU models) used for running the experiments. |
| Software Dependencies | No | The paper does not list specific software dependencies with version numbers. |
| Experiment Setup | Yes | Specifically we focus on the sparsity structure of θ , and consider L0-cardinality as complexity function f. Throughout the experiment, we fix problem dimension p = 1000, sparsity level of θ s = 20, and number of iterations T = 10. Entries of X of η are generated by i.i.d. standard Gaussian, and θ = [1, . . . , 1 | {z } 10 , 1, . . . , 1 | {z } 10 , 0, . . . , 0 | {z } 980 ]T . Σ is given as a block diagonal matrix with Σ = h 1 a a 1 i replicated along the diagonal. All the plots are obtained based on the average over 100 random trials. |