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Summary of Cauchy-schwarz Divergence Information Bottleneck For Regression, by Shujian Yu et al.


Cauchy-Schwarz Divergence Information Bottleneck for Regression

by Shujian Yu, Xi Yu, Sigurd Løkse, Robert Jenssen, Jose C. Principe

First submitted to arxiv on: 27 Apr 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Information Theory (cs.IT); Machine Learning (stat.ML)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The proposed Cauchy-Schwarz Information Bottleneck (CS-IB) approach improves the generalization, robustness, and explainability of deep neural networks by finding a minimum sufficient representation. This is achieved by striking a trade-off between compression and prediction terms expressed in terms of mutual information. The CS-IB method moves away from mean squared error-based regression and avoids variational approximations or distributional assumptions. Experimental results demonstrate strong adversarial robustness guarantees and superior performance on six real-world regression tasks compared to other popular deep IB approaches. The code is available at https://github.com/SJYuCNEL/Cauchy-Schwarz-Information-Bottleneck.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper develops a new way to apply the Information Bottleneck (IB) principle to the regression problem using deep neural networks. It proposes a Cauchy-Schwarz (CS) version of IB that avoids mean squared error-based regression and variational approximations or distributional assumptions. The CS-IB method is shown to improve generalization, robustness, and explainability. Results are presented on six real-world regression tasks, demonstrating better performance than other popular deep IB approaches.

Keywords

» Artificial intelligence  » Generalization  » Regression