Minimum Norm Interpolation Meets The Local Theory of Banach Spaces
Authors: Gil Kur, Pedro Abdalla, Pierre Bizeul, Fanny Yang
ICML 2024 | Conference PDF | Archive PDF | Plain Text | LLM Run Details
| Reproducibility Variable | Result | LLM Response |
|---|---|---|
| Research Type | Theoretical | This paper takes a first step towards establishing a general framework that connects generalization properties of the interpolators to well-known concepts from high-dimensional geometry, specifically, from the local theory of Banach spaces.In this work, we present a new geometric framework that allows us to overcome aforementioned restrictions. |
| Researcher Affiliation | Academia | 1ETH Zürich 2Technion Israel Institute of Technology |
| Pseudocode | No | The paper contains mathematical derivations and proofs but no explicitly labeled pseudocode or algorithm blocks. |
| Open Source Code | No | The paper does not mention providing open-source code for the described methodology. |
| Open Datasets | No | The paper is theoretical and uses examples like linear regression in terms of ℓp norm and Sobolev spaces for theoretical analysis, but does not refer to specific datasets used for empirical training or provide access information for any public dataset. |
| Dataset Splits | No | The paper is theoretical and does not describe empirical experiments with dataset splits. |
| Hardware Specification | No | The paper is theoretical and does not describe any experimental hardware specifications. |
| Software Dependencies | No | The paper is theoretical and does not mention specific software dependencies with version numbers. |
| Experiment Setup | No | The paper is theoretical and does not describe an experimental setup with specific hyperparameters or training configurations. |