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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

Deep neural networks have been the predominant paradigm in machine learning for solving cognitive tasks. Such models, however, are restricted by a high computational overhead, limiting their applicability and hindering advancements in the…

Machine Learning · Computer Science 2024-11-05 Ian Pons , Bruno Yamamoto , Anna H. Reali Costa , Artur Jordao

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

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

Deep learning networks excel at classification, yet identifying minimal architectures that reliably solve a task remains challenging. We present a computational methodology for systematically exploring and analyzing the relationships among…

Machine Learning · Computer Science 2026-01-27 Ziwei Zheng , Huizhi Liang , Vaclav Snasel , Vito Latora , Panos Pardalos , Giuseppe Nicosia , Varun Ojha

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

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

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

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

The extent to which different biological and artificial neural systems rely on equivalent internal representations to support similar tasks remains a central question in neuroscience and machine learning. Prior work typically compares…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Jialin Wu , Shreya Saha , Yiqing Bo , Meenakshi Khosla

We present a unified framework for quantifying the similarity between representations through the lens of \textit{usable} information, offering a rigorous theoretical and empirical synthesis across three key dimensions. First, addressing…

Machine Learning · Computer Science 2026-05-29 Antonio Almudévar , Alfonso Ortega

Representational similarity metrics are fundamental tools in neuroscience and AI, yet we lack systematic comparisons of their discriminative power across model families. We introduce a quantitative framework to evaluate representational…

Machine Learning · Computer Science 2025-12-10 Jialin Wu , Shreya Saha , Yiqing Bo , Meenakshi Khosla

The extent to which different neural or artificial neural networks (models) rely on equivalent representations to support similar tasks remains a central question in neuroscience and machine learning. Prior work has typically compared…

Neurons and Cognition · Quantitative Biology 2026-04-06 Jialin Wu , Shreya Saha , Yiqing Bo , Meenakshi Khosla

Analyzing the similarity of internal representations has been an important technique for understanding the behavior of deep neural networks. Most existing methods for analyzing the similarity between representations of high dimensions, such…

Artificial Intelligence · Computer Science 2025-05-26 Jiachen Jiang , Jinxin Zhou , Zhihui Zhu

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

Determining the optimal size of a neural network is critical, as it directly impacts runtime performance and memory usage. Pruning is a well-established model compression technique that reduces the size of neural networks while…

Machine Learning · Computer Science 2024-09-04 Seungbeom Hu , ChanJun Park , Andrew Ferraiuolo , Sang-Ki Ko , Jinwoo Kim , Haein Song , Jieung Kim

The objective of this work is set-based verification, e.g. to decide if two sets of images of a face are of the same person or not. The traditional approach to this problem is to learn to generate a feature vector per image, aggregate them…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Weidi Xie , Li Shen , Andrew Zisserman

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
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