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On the Power of Source Screening for Learning Shared Feature Extractors

arXiv:2602.16125v1 Announce Type: new Abstract: Learning with shared representation is widely recognized as an effective way to separate commonalities from heterogeneity across various heterogeneous sources. Most existing work includes all related data sources via simultaneously training a common feature extractor and source-specific heads. It is well understood that data sources with low relevance or poor quality may hinder representation learning. In this paper, we further dive into the question of which data sources should be learned jointly by focusing on the traditionally deemed ``good'' collection of sources, in which individual sources have similar relevance and qualities with respect to the true underlying common structure. Towards tractability, we focus on the linear setting where sources share a low-dimensional subspace. We find that source screening can play a central role in statistically optimal subspace estimation. We show that, for a broad class of problem instances, tr

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Leo (Muxing), Wang, Connor Mclaughlin, Lili Su
· · 1 min read · 3 views

arXiv:2602.16125v1 Announce Type: new Abstract: Learning with shared representation is widely recognized as an effective way to separate commonalities from heterogeneity across various heterogeneous sources. Most existing work includes all related data sources via simultaneously training a common feature extractor and source-specific heads. It is well understood that data sources with low relevance or poor quality may hinder representation learning. In this paper, we further dive into the question of which data sources should be learned jointly by focusing on the traditionally deemed ``good'' collection of sources, in which individual sources have similar relevance and qualities with respect to the true underlying common structure. Towards tractability, we focus on the linear setting where sources share a low-dimensional subspace. We find that source screening can play a central role in statistically optimal subspace estimation. We show that, for a broad class of problem instances, training on a carefully selected subset of sources suffices to achieve minimax optimality, even when a substantial portion of data is discarded. We formalize the notion of an informative subpopulation, develop algorithms and practical heuristics for identifying such subsets, and validate their effectiveness through both theoretical analysis and empirical evaluations on synthetic and real-world datasets.

Executive Summary

The article 'On the Power of Source Screening for Learning Shared Feature Extractors' explores the significance of selecting relevant data sources for learning shared representations in machine learning. The authors argue that including all available data sources, especially those with low relevance or poor quality, can hinder the effectiveness of representation learning. Focusing on the linear setting where sources share a low-dimensional subspace, the study demonstrates that source screening can significantly improve subspace estimation. The authors introduce the concept of an informative subpopulation, develop algorithms for identifying such subsets, and validate their findings through theoretical analysis and empirical evaluations on synthetic and real-world datasets.

Key Points

  • Source screening is crucial for effective representation learning.
  • Including irrelevant or low-quality data sources can hinder learning.
  • The study focuses on the linear setting with shared low-dimensional subspaces.
  • Algorithms and heuristics are developed for identifying informative subpopulations.
  • Empirical evaluations validate the effectiveness of source screening.

Merits

Theoretical Rigor

The article provides a rigorous theoretical framework for understanding the impact of source screening on representation learning. The formalization of the informative subpopulation concept and the development of algorithms for identifying such subsets are significant contributions to the field.

Empirical Validation

The study validates its theoretical findings through empirical evaluations on both synthetic and real-world datasets, enhancing the credibility and applicability of the proposed methods.

Demerits

Limited Scope

The study focuses primarily on the linear setting, which may limit the generalizability of the findings to more complex, non-linear scenarios. Further research is needed to extend these insights to non-linear contexts.

Complexity of Implementation

The practical implementation of the proposed algorithms and heuristics may be complex and resource-intensive, potentially limiting their adoption in real-world applications.

Expert Commentary

The article 'On the Power of Source Screening for Learning Shared Feature Extractors' makes a significant contribution to the field of machine learning by emphasizing the importance of source screening in representation learning. The authors provide a robust theoretical framework and practical algorithms for identifying informative subpopulations, which can enhance the performance of machine learning models. The empirical validation on both synthetic and real-world datasets further strengthens the credibility of the proposed methods. However, the study's focus on the linear setting may limit its generalizability to more complex, non-linear scenarios. Future research should aim to extend these insights to non-linear contexts and explore the practical challenges of implementing the proposed algorithms in real-world applications. Overall, this study offers valuable insights for both academics and practitioners in the field of machine learning.

Recommendations

  • Future research should explore the application of source screening in non-linear settings to broaden the scope of the findings.
  • Practitioners should consider implementing the proposed algorithms and heuristics to improve the quality and relevance of data sources in their machine learning models.

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