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Towards a Unified Representation Evaluation Framework Beyond Downstream Tasks

Christos Plachouras, Julien Guinot, George Fazekas, Elio Quinton, Emmanouil Benetos, Johan Pauwels

TL;DR

The paper addresses the limitation of downstream probing as the sole measure of representation quality by introducing a standardized, modular evaluation framework across four axes: informativeness, equivariance, invariance, and disentanglement. It defines formal mechanisms to quantify these axes, using factor-of-variation transformations and probe-based tasks, and demonstrates that models with similar downstream performance can diverge markedly in these properties across image and speech domains. The authors contribute a practical methodology, empirical insights into how different pretraining approaches organize latent information, and a software package (synesis) to enable holistic evaluation. This framework advances interpretability, transferability, and real-world utility of representations by focusing on their internal structure beyond task performance.

Abstract

Downstream probing has been the dominant method for evaluating model representations, an important process given the increasing prominence of self-supervised learning and foundation models. However, downstream probing primarily assesses the availability of task-relevant information in the model's latent space, overlooking attributes such as equivariance, invariance, and disentanglement, which contribute to the interpretability, adaptability, and utility of representations in real-world applications. While some attempts have been made to measure these qualities in representations, no unified evaluation framework with modular, generalizable, and interpretable metrics exists. In this paper, we argue for the importance of representation evaluation beyond downstream probing. We introduce a standardized protocol to quantify informativeness, equivariance, invariance, and disentanglement of factors of variation in model representations. We use it to evaluate representations from a variety of models in the image and speech domains using different architectures and pretraining approaches on identified controllable factors of variation. We find that representations from models with similar downstream performance can behave substantially differently with regard to these attributes. This hints that the respective mechanisms underlying their downstream performance are functionally different, prompting new research directions to understand and improve representations.

Towards a Unified Representation Evaluation Framework Beyond Downstream Tasks

TL;DR

The paper addresses the limitation of downstream probing as the sole measure of representation quality by introducing a standardized, modular evaluation framework across four axes: informativeness, equivariance, invariance, and disentanglement. It defines formal mechanisms to quantify these axes, using factor-of-variation transformations and probe-based tasks, and demonstrates that models with similar downstream performance can diverge markedly in these properties across image and speech domains. The authors contribute a practical methodology, empirical insights into how different pretraining approaches organize latent information, and a software package (synesis) to enable holistic evaluation. This framework advances interpretability, transferability, and real-world utility of representations by focusing on their internal structure beyond task performance.

Abstract

Downstream probing has been the dominant method for evaluating model representations, an important process given the increasing prominence of self-supervised learning and foundation models. However, downstream probing primarily assesses the availability of task-relevant information in the model's latent space, overlooking attributes such as equivariance, invariance, and disentanglement, which contribute to the interpretability, adaptability, and utility of representations in real-world applications. While some attempts have been made to measure these qualities in representations, no unified evaluation framework with modular, generalizable, and interpretable metrics exists. In this paper, we argue for the importance of representation evaluation beyond downstream probing. We introduce a standardized protocol to quantify informativeness, equivariance, invariance, and disentanglement of factors of variation in model representations. We use it to evaluate representations from a variety of models in the image and speech domains using different architectures and pretraining approaches on identified controllable factors of variation. We find that representations from models with similar downstream performance can behave substantially differently with regard to these attributes. This hints that the respective mechanisms underlying their downstream performance are functionally different, prompting new research directions to understand and improve representations.
Paper Structure (37 sections, 6 equations, 8 figures, 2 tables)

This paper contains 37 sections, 6 equations, 8 figures, 2 tables.

Figures (8)

  • Figure 1: High-level overview of the evaluation approaches for informativeness, equivariance, invariance, and disentanglement. $\mathcal{E}$ are feature extractors, $g$ are projectors. $\mathcal{T}$ are transformations with parameters $P \in \mathcal{P}$. Factors of variation are denoted by $F$. indicates trainable parameters, indicates frozen.
  • Figure 2: Informativeness on ImageNet for Hue, Saturation, And Value (Brightness) - left plot is a comparison of different feature extractors and right shows scale ablation.
  • Figure 3: Speech rate Informativeness on Librispeech. Speech rate is the only non-normalized (no upper bound) FV, with a mean of $\approx$2.5wps.
  • Figure 4: Parameter Equivariance on ImageNet under Hue Shift, Saturation Shift, and Brightness Shift - left plot is a comparison of different feature extractors and right shows a scale ablation.
  • Figure 5: Representation Equivariance on ImageNet under Hue Shift, Saturation Shift, and Brightness Shift - left plot is a comparison of different feature extractors and right shows a scale ablation.
  • ...and 3 more figures