Distribution Shift Inversion for Out-of-Distribution Prediction

Authors: Runpeng Yu, Songhua Liu, Xingyi Yang, Xinchao Wang

License: CC BY 4.0

Results of the summarizing process for the arXiv paper: 2306.08328v1

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The field of machine learning has seen the development of numerous algorithms that address the distribution shift between training and testing data in order to improve out-of-distribution (OoD) prediction. However, mitigating the distribution shift in unseen testing sets is rarely investigated due to the unavailability of testing data during training. To tackle this issue, the authors propose a portable Distribution Shift Inversion (DSI) algorithm that bypasses the requirement of testing data for distribution translator training. The algorithm combines OoD testing samples with additional Gaussian noise and transfers them back towards the training distribution using a diffusion model trained only on the source distribution. The effectiveness of this method is supported by theoretical analysis and experimental results which demonstrate its integration into commonly used OoD algorithms. Furthermore, cost analyses and practical suggestions are provided for inference and training processes.
AI-generated keywords: Distribution Shift Inversion Machine Learning Algorithms Gaussian Noise Diffusion Model

AI-generated Key Points

  • Development of numerous algorithms in machine learning to address distribution shift between training and testing data
  • Mitigating distribution shift in unseen testing sets is rarely investigated due to unavailability of testing data during training
  • Proposal of portable Distribution Shift Inversion (DSI) algorithm that bypasses requirement of testing data for distribution translator training
  • DSI algorithm combines OoD testing samples with additional Gaussian noise and transfers them back towards the training distribution using a diffusion model trained only on the source distribution
  • Effectiveness of DSI method supported by theoretical analysis and experimental results
  • Integration of DSI into commonly used OoD algorithms demonstrated
  • Cost analyses and practical suggestions provided for inference and training processes.
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Abstract: Machine learning society has witnessed the emergence of a myriad of Out-of-Distribution (OoD) algorithms, which address the distribution shift between the training and the testing distribution by searching for a unified predictor or invariant feature representation. However, the task of directly mitigating the distribution shift in the unseen testing set is rarely investigated, due to the unavailability of the testing distribution during the training phase and thus the impossibility of training a distribution translator mapping between the training and testing distribution. In this paper, we explore how to bypass the requirement of testing distribution for distribution translator training and make the distribution translation useful for OoD prediction. We propose a portable Distribution Shift Inversion algorithm, in which, before being fed into the prediction model, the OoD testing samples are first linearly combined with additional Gaussian noise and then transferred back towards the training distribution using a diffusion model trained only on the source distribution. Theoretical analysis reveals the feasibility of our method. Experimental results, on both multiple-domain generalization datasets and single-domain generalization datasets, show that our method provides a general performance gain when plugged into a wide range of commonly used OoD algorithms.

Submitted to arXiv on 14 Jun. 2023

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