SVCCA: Singular Vector Canonical Correlation Analysis for Deep Learning Dynamics and Interpretability
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Abstract (arXiv)
We propose a new technique, Singular Vector Canonical Correlation Analysis (SVCCA), a tool for quickly comparing two representations in a way that is both invariant to affine transform (allowing comparison between different layers and networks) and fast to compute (allowing more comparisons to be calculated than with previous methods). We deploy this tool to measure the intrinsic dimensionality of layers, showing in some cases needless over-parameterization; to probe learning dynamics throughout training, finding that networks converge to final representations from the bottom up; to show where class-specific information in networks is formed; and to suggest new training regimes that simultaneously save computation and overfit less. Code: https://github.com/google/svcca/
Key facts. Cited by 16 papers in the map (data through 14 Oct 2026). First posted on arXiv 19 Jun 2017.
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Citing papers per year: 2021: 4; 2022: 3; 2023: 0; 2024: 2; 2025: 2; 2026: 5.
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- 2024On the Origins of Linear Representations in Large Language Modelscited by 79
- 2021AutoFreeze: Automatically Freezing Model Blocks to Accelerate Fine-tuningcited by 48
- 2024Learning Interpretable Concepts: Unifying Causal Representation Learning and Foundation Modelscited by 29
- 2021PipeTransformer: Automated Elastic Pipelining for Distributed Training of Transformerscited by 23
- 2025Knowing Before Saying: LLM Representations Encode Information About Chain-of-Thought Success Before Completioncited by 23
- 2022Egeria: Efficient DNN Training with Knowledge-Guided Layer Freezingcited by 22
- 2022DORA: Exploring Outlier Representations in Deep Neural Networkscited by 14
- 2021Improving Computational Efficiency in Visual Reinforcement Learning via Stored Embeddingscited by 12
- 2026Ventriloquist LLMs: Linear Alignment of Late-Stage Representationscited by 4
- 2021Doing More by Doing Less: How Structured Partial Backpropagation Improves Deep Learning Clusterscited by 2
- 2025Intervening to Learn and Compose Causally Disentangled Representationscited by 1
- 2026Supervised Learning Has a Geometric Blind Spotcited by 1
4 more
- 2026Rethinking Heterogeneous LLM Merging: A Weighted Model Averaging Perspectivecited by 1
- 2022Complexity from Adaptive-Symmetries Breaking: Global Minima in the Statistical Mechanics of Deep Neural Networkscited by 0
- 2026Hidden Activations are not Enough I: Knowledge Matrices as Higher Representationscited by 0
- 2026Learning Cross-Model Activation Alignments with Explicit Many-to-Many Layer Mapscited by 0
- 2026Learning Cross-Model Activation Alignments with Explicit Many-to-Many Layer Maps6 Oct 2026
- 2026Hidden Activations are not Enough I: Knowledge Matrices as Higher Representations28 Sep 2026
- 2026Rethinking Heterogeneous LLM Merging: A Weighted Model Averaging Perspective20 Jul 2026
- 2026Supervised Learning Has a Geometric Blind Spot23 Apr 2026
- 2026Ventriloquist LLMs: Linear Alignment of Late-Stage Representations19 Mar 2026
- 2025Intervening to Learn and Compose Causally Disentangled Representations7 Jul 2025
- 2025Knowing Before Saying: LLM Representations Encode Information About Chain-of-Thought Success Before Completion30 May 2025
- 2024On the Origins of Linear Representations in Large Language Models6 Mar 2024
- 2024Learning Interpretable Concepts: Unifying Causal Representation Learning and Foundation Models14 Feb 2024
- 2022DORA: Exploring Outlier Representations in Deep Neural Networks9 Jun 2022
- 2022Egeria: Efficient DNN Training with Knowledge-Guided Layer Freezing17 Jan 2022
- 2022Complexity from Adaptive-Symmetries Breaking: Global Minima in the Statistical Mechanics of Deep Neural Networks3 Jan 2022
4 more
- 2021Doing More by Doing Less: How Structured Partial Backpropagation Improves Deep Learning Clusters20 Nov 2021
- 2021Improving Computational Efficiency in Visual Reinforcement Learning via Stored Embeddings4 Mar 2021
- 2021PipeTransformer: Automated Elastic Pipelining for Distributed Training of Transformers5 Feb 2021
- 2021AutoFreeze: Automatically Freezing Model Blocks to Accelerate Fine-tuning2 Feb 2021
- 2024On the Origins of Linear Representations in Large Language Modelscited by 79
- 2021AutoFreeze: Automatically Freezing Model Blocks to Accelerate Fine-tuningcited by 48
- 2024Learning Interpretable Concepts: Unifying Causal Representation Learning and Foundation Modelscited by 29
- 2021PipeTransformer: Automated Elastic Pipelining for Distributed Training of Transformerscited by 23
- 2022Egeria: Efficient DNN Training with Knowledge-Guided Layer Freezingcited by 22
- 2022DORA: Exploring Outlier Representations in Deep Neural Networkscited by 14
- 2021Improving Computational Efficiency in Visual Reinforcement Learning via Stored Embeddingscited by 12
- 2026Ventriloquist LLMs: Linear Alignment of Late-Stage Representationscited by 4
- 2021Doing More by Doing Less: How Structured Partial Backpropagation Improves Deep Learning Clusterscited by 2
- 2025Intervening to Learn and Compose Causally Disentangled Representationscited by 1
- 2026Supervised Learning Has a Geometric Blind Spotcited by 1
- 2022Complexity from Adaptive-Symmetries Breaking: Global Minima in the Statistical Mechanics of Deep Neural Networkscited by 0
12 most cited of 14 All 14 (JSON)
- 2026Learning Cross-Model Activation Alignments with Explicit Many-to-Many Layer Maps6 Oct 2026
- 2026Hidden Activations are not Enough I: Knowledge Matrices as Higher Representations28 Sep 2026
- 2026Supervised Learning Has a Geometric Blind Spot23 Apr 2026
- 2026Ventriloquist LLMs: Linear Alignment of Late-Stage Representations19 Mar 2026
- 2025Intervening to Learn and Compose Causally Disentangled Representations7 Jul 2025
- 2024On the Origins of Linear Representations in Large Language Models6 Mar 2024
- 2024Learning Interpretable Concepts: Unifying Causal Representation Learning and Foundation Models14 Feb 2024
- 2022DORA: Exploring Outlier Representations in Deep Neural Networks9 Jun 2022
- 2022Egeria: Efficient DNN Training with Knowledge-Guided Layer Freezing17 Jan 2022
- 2022Complexity from Adaptive-Symmetries Breaking: Global Minima in the Statistical Mechanics of Deep Neural Networks3 Jan 2022
- 2021Doing More by Doing Less: How Structured Partial Backpropagation Improves Deep Learning Clusters20 Nov 2021
- 2021Improving Computational Efficiency in Visual Reinforcement Learning via Stored Embeddings4 Mar 2021
12 newest of 14 All 14 (JSON)