Weak Detection of Signal in the Spiked Wigner Model
Authors: Hye Won Chung, Ji Oon Lee
ICML 2019 | Conference PDF | Archive PDF | Plain Text | LLM Run Details
| Reproducibility Variable | Result | LLM Response |
|---|---|---|
| Research Type | Theoretical | When the noise is Gaussian, the error of the proposed test is optimal as it matches the error of the likelihood ratio test that minimizes the sum of the Type-I and Type-II errors. The main technical component of the present paper is the central limit theorem (CLT) for the LSS of arbitrary analytic functions for the random matrix in (1). Theorem 2. The error of the test in algorithm 1, err(λ) = P(Lλ > mλ|H0) + P(Lλ mλ|H1), converges to erfc(Eλ/4) |
| Researcher Affiliation | Academia | 1School of Electrical Engineering, KAIST, Daejeon, Korea 2Department of Mathematical Sciences, KAIST, Daejeon, Korea. |
| Pseudocode | Yes | Algorithm 1 Hypothesis test |
| Open Source Code | No | The paper does not provide any concrete access to source code for the methodology described, such as a repository link or an explicit code release statement. |
| Open Datasets | No | The paper is theoretical and does not use a specific, publicly available dataset for experiments. |
| Dataset Splits | No | The paper is theoretical and does not perform empirical experiments requiring dataset splits. |
| Hardware Specification | No | The paper does not provide specific hardware details, as it focuses on theoretical analysis rather than empirical experiments. |
| Software Dependencies | No | The paper does not provide specific ancillary software details with version numbers, as it focuses on theoretical work. |
| Experiment Setup | No | The paper does not contain specific experimental setup details, as it focuses on theoretical analysis rather than empirical experiments. |