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Recent work has sought to understand the behavior of neural networks by comparing representations between layers and between different trained models. We examine methods for comparing neural network representations based on canonical…

Machine Learning · Computer Science 2019-07-22 Simon Kornblith , Mohammad Norouzi , Honglak Lee , Geoffrey Hinton

Comparing learned neural representations in neural networks is a challenging but important problem, which has been approached in different ways. The Centered Kernel Alignment (CKA) similarity metric, particularly its linear variant, has…

Machine Learning · Computer Science 2022-11-17 MohammadReza Davari , Stefan Horoi , Amine Natik , Guillaume Lajoie , Guy Wolf , Eugene Belilovsky

Comparing different neural network representations and determining how representations evolve over time remain challenging open questions in our understanding of the function of neural networks. Comparing representations in neural networks…

Machine Learning · Statistics 2018-10-25 Ari S. Morcos , Maithra Raghu , Samy Bengio

Similarity metrics such as representational similarity analysis (RSA) and centered kernel alignment (CKA) have been used to compare layer-wise representations between neural networks. However, these metrics are confounded by the population…

Machine Learning · Statistics 2022-02-02 Tianyu Cui , Yogesh Kumar , Pekka Marttinen , Samuel Kaski

Neural responses encode information that is useful for a variety of downstream tasks. A common approach to understand these systems is to build regression models or ``decoders'' that reconstruct features of the stimulus from neural…

Machine Learning · Statistics 2024-11-14 Sarah E. Harvey , David Lipshutz , Alex H. Williams

Centered Kernel Alignment (CKA) was recently proposed as a similarity metric for comparing activation patterns in deep networks. Here we experiment with the modified RV-coefficient (RV2), which has very similar properties as CKA while being…

Machine Learning · Computer Science 2019-12-06 Jessica A. F. Thompson , Yoshua Bengio , Marc Schoenwiesner

In both artificial and biological systems, the centered kernel alignment (CKA) has become a widely used tool for quantifying neural representation similarity. While current CKA estimators typically correct for the effects of finite stimuli…

Neurons and Cognition · Quantitative Biology 2025-02-26 Chanwoo Chun , Abdulkadir Canatar , SueYeon Chung , Daniel D. Lee

A multitude of (dis)similarity measures between neural network representations have been proposed, resulting in a fragmented research landscape. Most of these measures fall into one of two categories. First, measures such as linear…

Machine Learning · Statistics 2023-11-21 Sarah E. Harvey , Brett W. Larsen , Alex H. Williams

The generalization of machine learning (ML) models to out-of-distribution (OOD) examples remains a key challenge in extracting information from upcoming astronomical surveys. Interpretability approaches are a natural way to gain insights…

Instrumentation and Methods for Astrophysics · Physics 2023-12-01 Yash Gondhalekar , Sultan Hassan , Naomi Saphra , Sambatra Andrianomena

How do we know if two systems - biological or artificial - process information in a similar way? Similarity measures such as linear regression, Centered Kernel Alignment (CKA), Normalized Bures Similarity (NBS), and angular Procrustes…

Neurons and Cognition · Quantitative Biology 2024-12-31 Nathan Cloos , Moufan Li , Markus Siegel , Scott L. Brincat , Earl K. Miller , Guangyu Robert Yang , Christopher J. Cueva

Understanding representational similarity between neural recordings and computational models is essential for neuroscience, yet remains challenging to measure reliably due to the constraints on the number of neurons that can be recorded…

Disordered Systems and Neural Networks · Physics 2025-10-27 Hyunmo Kang , Abdulkadir Canatar , SueYeon Chung

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…

Neurons and Cognition · Quantitative Biology 2025-09-16 Yiqing Bo , Ansh Soni , Sudhanshu Srivastava , Meenakshi Khosla

Centered kernel alignment (CKA) is a popular metric for comparing representations, determining equivalence of networks, and neuroscience research. However, CKA does not account for the underlying manifold and relies on numerous heuristics…

Machine Learning · Computer Science 2025-10-28 Mohammad Tariqul Islam , Du Liu , Deblina Sarkar

Neural networks trained on standard image classification data sets are shown to be less resistant to data set bias. It is necessary to comprehend the behavior objective function that might correspond to superior performance for data with…

Machine Learning · Computer Science 2022-11-16 Gnyanesh Bangaru , Lalith Bharadwaj Baru , Kiran Chakravarthula

Measuring similarity of neural networks to understand and improve their behavior has become an issue of great importance and research interest. In this survey, we provide a comprehensive overview of two complementary perspectives of…

Machine Learning · Computer Science 2025-05-22 Max Klabunde , Tobias Schumacher , Markus Strohmaier , Florian Lemmerich

It is widely believed that learning good representations is one of the main reasons for the success of deep neural networks. Although highly intuitive, there is a lack of theory and systematic approach quantitatively characterizing what…

Machine Learning · Computer Science 2018-11-30 Liwei Wang , Lunjia Hu , Jiayuan Gu , Yue Wu , Zhiqiang Hu , Kun He , John Hopcroft

Comparing the functional behavior of neural network models, whether it is a single network over time or two (or more networks) during or post-training, is an essential step in understanding what they are learning (and what they are not),…

Computer Vision and Pattern Recognition · Computer Science 2022-11-10 Xingjian Zhen , Zihang Meng , Rudrasis Chakraborty , Vikas Singh

Methods for analyzing representations in neural systems have become a popular tool in both neuroscience and mechanistic interpretability. Having measures to compare how similar activations of neurons are across conditions, architectures,…

Machine Learning · Computer Science 2024-12-24 Quentin Guilhot , Michał Wójcik , Jascha Achterberg , Rui Ponte Costa

Activation-alignment measures such as Representational Similarity Analysis (RSA), Canonical Correlation Analysis (CCA), and Centered Kernel Alignment (CKA) are widely used to compare biological and artificial neural representations. Recent…

Machine Learning · Computer Science 2026-05-08 Amirhossein Yavari , Farnaz Zamani Esfahlani

Despite the success of fine-tuning pretrained language encoders like BERT for downstream natural language understanding (NLU) tasks, it is still poorly understood how neural networks change after fine-tuning. In this work, we use centered…

Computation and Language · Computer Science 2021-09-21 Jason Phang , Haokun Liu , Samuel R. Bowman
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