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Autori principali: Zarvandi, Maedeh, Timothy, Michael, Wasserer, Theresa, Ghoshdastidar, Debarghya
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2509.24467
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author Zarvandi, Maedeh
Timothy, Michael
Wasserer, Theresa
Ghoshdastidar, Debarghya
author_facet Zarvandi, Maedeh
Timothy, Michael
Wasserer, Theresa
Ghoshdastidar, Debarghya
contents Self-supervised learning (SSL) learns representations from massive unlabeled data, yet the resulting models typically operate as black boxes, necessitating domain-specific explanations. We introduce KREPES, a unified framework to analytically interpret the learned representations of SSL objectives, including SimCLR, BYOL, and VICReg. By bridging empirical neural tangent kernel approximations of neural networks with the Representer Theorem for kernels, we express the learned latent space directly via "Representer Landmarks", which are the representations of influential unlabeled training examples. We introduce novel metrics, "Sample-Specific Influence Score", "Concept-Conditioned Influence Score" and "Feature Alignment Gap", to quantify the transparency of the learned representations. KREPES enables direct audit of the latent space without supervision, for example, revealing an algorithmic bias in the Adult-1M dataset where SSL uses demographic proxies for income. Finally, to ensure scalability to benchmarks with 1M+ samples (ImageNet-1K, Adult-1M), KREPES introduces a novel Nyström approximation-based analytical inference framework for SSL objectives.
format Preprint
id arxiv_https___arxiv_org_abs_2509_24467
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publishDate 2025
record_format arxiv
spellingShingle Interpretable Self-Supervised Learning via Representer Landmarks and Nyström Approximation
Zarvandi, Maedeh
Timothy, Michael
Wasserer, Theresa
Ghoshdastidar, Debarghya
Machine Learning
Self-supervised learning (SSL) learns representations from massive unlabeled data, yet the resulting models typically operate as black boxes, necessitating domain-specific explanations. We introduce KREPES, a unified framework to analytically interpret the learned representations of SSL objectives, including SimCLR, BYOL, and VICReg. By bridging empirical neural tangent kernel approximations of neural networks with the Representer Theorem for kernels, we express the learned latent space directly via "Representer Landmarks", which are the representations of influential unlabeled training examples. We introduce novel metrics, "Sample-Specific Influence Score", "Concept-Conditioned Influence Score" and "Feature Alignment Gap", to quantify the transparency of the learned representations. KREPES enables direct audit of the latent space without supervision, for example, revealing an algorithmic bias in the Adult-1M dataset where SSL uses demographic proxies for income. Finally, to ensure scalability to benchmarks with 1M+ samples (ImageNet-1K, Adult-1M), KREPES introduces a novel Nyström approximation-based analytical inference framework for SSL objectives.
title Interpretable Self-Supervised Learning via Representer Landmarks and Nyström Approximation
topic Machine Learning
url https://arxiv.org/abs/2509.24467