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OF-AE: Oblique Forest AutoEncoders

arXiv 2301.00880 ↗First posted 2 Jan 2023cs.LGcited by 0

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Abstract (arXiv)

In the present work we propose an unsupervised ensemble method consisting of oblique trees that can address the task of auto-encoding, namely Oblique Forest AutoEncoders (briefly OF-AE). Our method is a natural extension of the eForest encoder introduced in [1]. More precisely, by employing oblique splits consisting in multivariate linear combination of features instead of the axis-parallel ones, we will devise an auto-encoder method through the computation of a sparse solution of a set of linear inequalities consisting of feature values constraints. The code for reproducing our results is available at https://github.com/CDAlecsa/Oblique-Forest-AutoEncoders.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 12 of its 33 references that are in the map. First posted on arXiv 2 Jan 2023.

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References · 12

  1. 2016CVXPY: A Python-Embedded Modeling Language for Convex Optimizationcited by 633
  2. 2017Distilling a Neural Network Into a Soft Decision Treecited by 230
  3. 2017A Rewriting System for Convex Optimization Problemscited by 178
  4. 2013Generalized Denoising Auto-Encoders as Generative Modelscited by 113
  5. 2018Adaptive Neural Treescited by 64
  6. 2015HHCART: An Oblique Decision Treecited by 13
  7. 2020Learning Binary Decision Trees by Argmin Differentiationcited by 11
  8. 2017AutoEncoder by Forestcited by 8
  9. 2022Generative Trees: Adversarial and Copycatcited by 7
  10. 2014Autoencoder Treescited by 6
  11. 2018Probabilistic Random Forest: A machine learning algorithm for noisy datasetscited by 5
  12. 2015CO2 Forest: Improved Random Forest by Continuous Optimization of Oblique Splitscited by 4

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