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Interpretable Diversity Analysis: Visualizing Feature Representations In Low-Cost Ensembles

arXiv 2302.05822 ↗First posted 12 Feb 2023cs.LGcited by 0

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Abstract (arXiv)

Diversity is an important consideration in the construction of robust neural network ensembles. A collection of well trained models will generalize better if they are diverse in the patterns they respond to and the predictions they make. Diversity is especially important for low-cost ensemble methods because members often share network structure in order to avoid training several independent models from scratch. Diversity is traditionally analyzed by measuring differences between the outputs of models. However, this gives little insight into how knowledge representations differ between ensemble members. This paper introduces several interpretability methods that can be used to qualitatively analyze diversity. We demonstrate these techniques by comparing the diversity of feature representations between child networks using two low-cost ensemble algorithms, Snapshot Ensembles and Prune and Tune Ensembles. We use the same pre-trained parent network as a starting point for both methods which allows us to explore how feature representations evolve over time. This approach to diversity analysis can lead to valuable insights and new perspectives for how we measure and promote diversity in ensemble methods.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 10 of its 30 references that are in the map. First posted on arXiv 12 Feb 2023.

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10 of 30 references.

References · 10

  1. 2017Learning Important Features Through Propagating Activation Differencescited by 1,458
  2. 2017SmoothGrad: removing noise by adding noisecited by 1,109
  3. 2018Loss Surfaces, Mode Connectivity, and Fast Ensembling of DNNscited by 588
  4. 2019Deep Ensembles: A Loss Landscape Perspectivecited by 443
  5. 2020BatchEnsemble: An Alternative Approach to Efficient Ensemble and Lifelong Learningcited by 371
  6. 2017Snapshot Ensembles: Train 1, get M for freecited by 350
  7. 2020A Survey on Neural Network Interpretabilitycited by 291
  8. 2020Training independent subnetworks for robust predictioncited by 177
  9. 2015Why M Heads are Better than One: Training a Diverse Ensemble of Deep Networkscited by 139
  10. 2022Prune and Tune Ensembles: Low-Cost Ensemble Learning With Sparse Independent Subnetworkscited by 13

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