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Wasserstein task embedding for measuring task similarities.

Xinran Liu1, Yikun Bai1, Yuzhe Lu2

  • 1Computer Science Department, Vanderbilt University, 2201 W End Ave, Nashville, 37235, TN, United States.

Neural Networks : the Official Journal of the International Neural Network Society
|October 25, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces a novel, model-agnostic method for measuring task similarities in machine learning using optimal transport theory. This approach enables faster and more effective task comparisons, crucial for transfer and meta-learning applications.

Keywords:
Continual learningDataset similarityOptimal transportTask embeddingTransfer learning

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Area of Science:

  • Machine Learning
  • Computer Science
  • Data Science

Background:

  • Measuring task similarity is vital for machine learning tasks like transfer, multi-task, continual, and meta-learning.
  • Existing methods for task similarity assessment are often architecture-dependent, relying on pre-trained models or forward transfer proxies.
  • These limitations hinder efficient and generalizable task comparison across diverse machine learning paradigms.

Purpose of the Study:

  • To introduce a novel, model-agnostic, and training-free task embedding method for supervised classification.
  • To address the limitations of current architecture-dependent approaches for measuring task similarities.
  • To enable efficient handling of datasets with partially disjoint label sets.

Main Methods:

  • Leveraging optimal transport theory to define a new task embedding for supervised classification.
  • Employing multi-dimensional scaling for label embedding, followed by concatenation with dataset samples.
  • Defining dataset distance using the 2-Wasserstein distance between updated samples.
  • Utilizing a 2-Wasserstein embedding framework to map tasks into a vector space.

Main Results:

  • The proposed task embedding is model-agnostic and training-free, capable of handling disjoint label sets.
  • Task comparison using the novel embedding is significantly faster than existing methods like Optimal Transport Dataset Distance (OTDD).
  • Numerical experiments demonstrate statistically significant correlations between the proposed distance and forward/backward transfer across image recognition datasets.

Conclusions:

  • The developed 2-Wasserstein embedding framework provides an efficient and effective approach for measuring task similarities.
  • This model-agnostic method advances the field of machine learning by offering a more generalizable tool for task comparison.
  • The findings have implications for improving performance in transfer learning, multi-task learning, and meta-learning applications.