Evaluating Representational Similarity Measures from the Lens of Functional Correspondence
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Abstract (arXiv)
Neuroscience and artificial intelligence (AI) both face the challenge of interpreting high-dimensional neural data, where the comparative analysis of such data is crucial for revealing shared mechanisms and differences between these complex systems. Despite the widespread use of representational comparisons and the abundance classes of comparison methods, a critical question remains: which metrics are most suitable for these comparisons? While some studies evaluate metrics based on their ability to differentiate models of different origins or constructions (e.g., various architectures), another approach is to assess how well they distinguish models that exhibit distinct behaviors. To investigate this, we examine the degree of alignment between various representational similarity measures and behavioral outcomes, employing group statistics and a comprehensive suite of behavioral metrics for comparison. In our evaluation of eight commonly used representational similarity metrics in the visual domain -- spanning alignment-based, Canonical Correlation Analysis (CCA)-based, inner product kernel-based, and nearest-neighbor methods -- we found that metrics like linear Centered Kernel Alignment (CKA) and Procrustes distance, which emphasize the overall geometric structure or shape of representations, excelled in differentiating trained from untrained models and aligning with behavioral measures, whereas metrics such as linear predictivity, commonly used in neuroscience, demonstrated only moderate alignment with behavior. These insights are crucial for selecting metrics that emphasize behaviorally meaningful comparisons in NeuroAI research.
Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). Builds on 24 of its 58 references that are in the map. First posted on arXiv 21 Nov 2024.
Builds on
24 of 58 references.
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12 more
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Citing papers per year: 2025: 4; 2026: 7.
11 papers.
- 2026Revisiting the Platonic Representation Hypothesis: An Aristotelian Viewcited by 33
- 2025Bridging Critical Gaps in Convergent Learning: How Representational Alignment Evolves Across Layers, Training, and Distribution Shiftscited by 5
- 2026Generalizable VLA Finetuning via Representation Anchoring and Language-Action Alignmentcited by 4
- 2025Measuring the Measures: Discriminative Capacity of Representational Similarity Metrics Across Model Familiescited by 2
- 2026Global Geometry Is Not Enough for Vision Representationscited by 2
- 2026Stimulus symmetries can confound representational similarity analysescited by 1
- 2025Comparing and Integrating Different Notions of Representational Correspondence in Neural Systemscited by 0
- 2025Revisiting the Relation Between Robustness and Universalitycited by 0
- 2026Continued Pretraining of FinBERT on Finnish Histopathological Reports: Train-Time Signals and Proxy Downstream Correlationscited by 0
- 2026From Layers to Networks: Comparing Neural Representations via Diffusion Geometrycited by 0
- 2026Not all solutions are created equal: An analytical dissociation of functional and representational similarity in deep linear neural networkscited by 0
- 2026Not all solutions are created equal: An analytical dissociation of functional and representational similarity in deep linear neural networks30 Sep 2026
- 2026Generalizable VLA Finetuning via Representation Anchoring and Language-Action Alignment15 Jul 2026
- 2026Stimulus symmetries can confound representational similarity analyses20 May 2026
- 2026From Layers to Networks: Comparing Neural Representations via Diffusion Geometry15 May 2026
- 2026Continued Pretraining of FinBERT on Finnish Histopathological Reports: Train-Time Signals and Proxy Downstream Correlations16 Apr 2026
- 2026Revisiting the Platonic Representation Hypothesis: An Aristotelian View16 Feb 2026
- 2026Global Geometry Is Not Enough for Vision Representations3 Feb 2026
- 2025Revisiting the Relation Between Robustness and Universality22 Oct 2025
- 2025Comparing and Integrating Different Notions of Representational Correspondence in Neural Systems25 Sep 2025
- 2025Measuring the Measures: Discriminative Capacity of Representational Similarity Metrics Across Model Families4 Sep 2025
- 2025Bridging Critical Gaps in Convergent Learning: How Representational Alignment Evolves Across Layers, Training, and Distribution Shifts26 Feb 2025