Consistency and Finite Sample Behavior of Binary Class Probability Estimation
Authors: Alexander Mey, Marco Loog8967-8974
AAAI 2021 | Conference PDF | Archive PDF | Plain Text | LLM Run Details
| Reproducibility Variable | Result | LLM Response |
|---|---|---|
| Research Type | Theoretical | We investigate to which extent one can recover class probabilities within the empirical risk minimization (ERM) paradigm. ... We then derive conditions under which this estimator will converge with high probability to the true class probabilities with respect to the L1-norm. One of our core contributions is a novel way to derive finite sample L1-convergence rates of this estimator for different surrogate loss functions. |
| Researcher Affiliation | Academia | 1 Delft University of Technology, The Netherlands 2 University of Copenhagen, Denmark |
| Pseudocode | No | No pseudocode or algorithm blocks are present in the paper. |
| Open Source Code | No | No statement about open-source code release or repository links for the described methodology is provided. |
| Open Datasets | No | The paper is theoretical and does not conduct experiments on a specific dataset. It refers to a 'finite i.i.d. sample (xi, yi)1 i n drawn from a distribution P on X Y' in a general statistical learning context, not a specific publicly available dataset for training. |
| Dataset Splits | No | The paper is theoretical and focuses on mathematical derivations; it does not describe empirical experiments or specific dataset splits for training, validation, or testing. |
| Hardware Specification | No | No hardware specifications are mentioned, as the paper focuses on theoretical derivations and does not report on computational experiments. |
| Software Dependencies | No | No software dependencies with specific version numbers are mentioned, as the paper is theoretical and does not describe computational implementations or experiments. |
| Experiment Setup | No | No experimental setup details such as hyperparameters or system-level training settings are provided, as the paper focuses on theoretical analysis rather than empirical experiments. |