Probing transfer learning with a model of synthetic correlated datasets
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Abstract (arXiv)
Transfer learning can significantly improve the sample efficiency of neural networks, by exploiting the relatedness between a data-scarce target task and a data-abundant source task. Despite years of successful applications, transfer learning practice often relies on ad-hoc solutions, while theoretical understanding of these procedures is still limited. In the present work, we re-think a solvable model of synthetic data as a framework for modeling correlation between data-sets. This setup allows for an analytic characterization of the generalization performance obtained when transferring the learned feature map from the source to the target task. Focusing on the problem of training two-layer networks in a binary classification setting, we show that our model can capture a range of salient features of transfer learning with real data. Moreover, by exploiting parametric control over the correlation between the two data-sets, we systematically investigate under which conditions the transfer of features is beneficial for generalization.
Key facts. Cited by 24 papers in the map (data through 7 Oct 2026). Builds on 39 of its 76 references that are in the map. First posted on arXiv 9 Jun 2021.
Builds on
39 of 76 references.
References · 39
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- 2020Language Models are Few-Shot Learnerscited by 32,199
- 2019EfficientNet: Rethinking Model Scaling for Convolutional Neural Networkscited by 6,415
- 2015Deep Compression: Compressing Deep Neural Networks with Pruning, Trained Quantization and Huffman Codingcited by 2,291
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- 2018Moment Matching for Multi-Source Domain Adaptationcited by 1,327
- 2014How transferable are features in deep neural networks?cited by 1,216
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- 2019Transfusion: Understanding Transfer Learning for Medical Imagingcited by 366
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- 2020What is being transferred in transfer learning?cited by 365
- 2019Rapid Learning or Feature Reuse? Towards Understanding the Effectiveness of MAMLcited by 359
- 2018Estimating the intrinsic dimension of datasets by a minimal neighborhood informationcited by 246
- 2018GAN-based Synthetic Medical Image Augmentation for increased CNN Performance in Liver Lesion Classificationcited by 242
- 2017High-dimensional dynamics of generalization error in neural networkscited by 238
- 2020Few-Shot Learning via Learning the Representation, Provablycited by 213
- 2016Deep Convolutional Neural Networks for Computer-Aided Detection: CNN Architectures, Dataset Characteristics and Transfer Learningcited by 209
- 2020On the Theory of Transfer Learning: The Importance of Task Diversitycited by 186
- 2020Geometric Dataset Distances via Optimal Transportcited by 157
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- 2019Data augmentation using learned transformations for one-shot medical image segmentationcited by 138
- 2020Generalisation error in learning with random features and the hidden manifold modelcited by 126
- 2019Transferability and Hardness of Supervised Classification Taskscited by 125
- 2020Double Trouble in Double Descent : Bias and Variance(s) in the Lazy Regimecited by 95
- 2018An analytic theory of generalization dynamics and transfer learning in deep linear networkscited by 84
- 2018A jamming transition from under- to over-parametrization affects loss landscape and generalizationcited by 65
- 2019Transfer Adaptation Learning: A Decade Surveycited by 52
- 2021Learning Gaussian Mixtures with Generalised Linear Models: Precise Asymptotics in High-dimensionscited by 52
- 2018The phase transition for the existence of the maximum likelihood estimate in high-dimensional logistic regressioncited by 45
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- 2021Phase Transitions in Transfer Learning for High-Dimensional Perceptronscited by 21
- 2019Asymptotic learning curves of kernel methods: empirical data v.s. Teacher-Student paradigmcited by 20
- 2020Double Double Descent: On Generalization Errors in Transfer Learning between Linear Regression Taskscited by 15
- 2020An Information-Geometric Distance on the Space of Taskscited by 15
- 2021Similarity of Classification Taskscited by 7
- 2016Towards Automated Melanoma Screening: Exploring Transfer Learning Schemescited by 2
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Citing papers per year: 2021: 1; 2022: 5; 2023: 3; 2024: 7; 2025: 5; 2026: 3.
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- 2021A Farewell to the Bias-Variance Tradeoff? An Overview of the Theory of Overparameterized Machine Learningcited by 54
- 2024From Lazy to Rich: Exact Learning Dynamics in Deep Linear Networkscited by 46
- 2022Gaussian Universality of Perceptrons with Random Labelscited by 26
- 2022Maslow's Hammer for Catastrophic Forgetting: Node Re-Use vs Node Activationcited by 16
- 2024Optimal Protocols for Continual Learning via Statistical Physics and Control Theorycited by 14
- 2024Order parameters and phase transitions of continual learning in deep neural networkscited by 13
- 2024Features are fate: a theory of transfer learning in high-dimensional regressioncited by 10
- 2024On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theorycited by 10
- 2022Bias-inducing geometries: an exactly solvable data model with fairness implicationscited by 8
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- 2023The RL Perceptron: Generalisation Dynamics of Policy Learning in High Dimensionscited by 5
- 2023Generalization Performance of Transfer Learning: Overparameterized and Underparameterized Regimescited by 4
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- 2024TL-PCA: Transfer Learning of Principal Component Analysiscited by 4
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- 2025Beyond Real Data: Synthetic Data through the Lens of Regularizationcited by 2
- 2022The impact of memory on learning sequence-to-sequence taskscited by 1
- 2022Frozen Overparameterization: A Double Descent Perspective on Transfer Learning of Deep Neural Networkscited by 1
- 2025Cross-functional transferability in universal machine learning interatomic potentialscited by 1
- 2023Optimal transfer protocol by incremental layer defrostingcited by 0
- 2024The twin peaks of learning neural networkscited by 0
- 2026Transfer Learning of Linear Regression with Multiple Pretrained Models: Benefiting from More Pretrained Models via Overparameterization Debiasingcited by 0
- 2026Optimal Representation Size: High-Dimensional Analysis of Pretraining and Linear Probingcited by 0
- 2026Optimal Representation Size: High-Dimensional Analysis of Pretraining and Linear Probing19 May 2026
- 2026Transfer Learning of Linear Regression with Multiple Pretrained Models: Benefiting from More Pretrained Models via Overparameterization Debiasing18 Feb 2026
- 2026Positive Distribution Shift as a Framework for Understanding Tractable Learning9 Feb 2026
- 2025Beyond Real Data: Synthetic Data through the Lens of Regularization9 Oct 2025
- 2025The Effect of Label Noise on the Information Content of Neural Representations7 Oct 2025
- 2025Transfer Learning in Infinite Width Feature Learning Networks6 Jul 2025
- 2025Cross-functional transferability in universal machine learning interatomic potentials7 Apr 2025
- 2025Provable Benefits of Unsupervised Pre-training and Transfer Learning via Single-Index Models24 Feb 2025
- 2024On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory16 Dec 2024
- 2024TL-PCA: Transfer Learning of Principal Component Analysis14 Oct 2024
- 2024Features are fate: a theory of transfer learning in high-dimensional regression10 Oct 2024
- 2024Optimal Protocols for Continual Learning via Statistical Physics and Control Theory26 Sep 2024
12 more
- 2024From Lazy to Rich: Exact Learning Dynamics in Deep Linear Networks22 Sep 2024
- 2024Order parameters and phase transitions of continual learning in deep neural networks14 Jul 2024
- 2024The twin peaks of learning neural networks23 Jan 2024
- 2023The RL Perceptron: Generalisation Dynamics of Policy Learning in High Dimensions17 Jun 2023
- 2023Generalization Performance of Transfer Learning: Overparameterized and Underparameterized Regimes8 Jun 2023
- 2023Optimal transfer protocol by incremental layer defrosting2 Mar 2023
- 2022Frozen Overparameterization: A Double Descent Perspective on Transfer Learning of Deep Neural Networks20 Nov 2022
- 2022Bias-inducing geometries: an exactly solvable data model with fairness implications31 May 2022
- 2022The impact of memory on learning sequence-to-sequence tasks29 May 2022
- 2022Gaussian Universality of Perceptrons with Random Labels26 May 2022
- 2022Maslow's Hammer for Catastrophic Forgetting: Node Re-Use vs Node Activation18 May 2022
- 2021A Farewell to the Bias-Variance Tradeoff? An Overview of the Theory of Overparameterized Machine Learning6 Sep 2021
- 2021A Farewell to the Bias-Variance Tradeoff? An Overview of the Theory of Overparameterized Machine Learningcited by 54
- 2024From Lazy to Rich: Exact Learning Dynamics in Deep Linear Networkscited by 46
- 2022Gaussian Universality of Perceptrons with Random Labelscited by 26
- 2022Maslow's Hammer for Catastrophic Forgetting: Node Re-Use vs Node Activationcited by 16
- 2024Optimal Protocols for Continual Learning via Statistical Physics and Control Theorycited by 14
- 2024Order parameters and phase transitions of continual learning in deep neural networkscited by 13
- 2024Features are fate: a theory of transfer learning in high-dimensional regressioncited by 10
- 2024On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theorycited by 10
- 2022Bias-inducing geometries: an exactly solvable data model with fairness implicationscited by 8
- 2025Provable Benefits of Unsupervised Pre-training and Transfer Learning via Single-Index Modelscited by 6
- 2023The RL Perceptron: Generalisation Dynamics of Policy Learning in High Dimensionscited by 5
- 2023Generalization Performance of Transfer Learning: Overparameterized and Underparameterized Regimescited by 4
12 most cited of 24 All 24 (JSON)
- 2026Optimal Representation Size: High-Dimensional Analysis of Pretraining and Linear Probing19 May 2026
- 2026Transfer Learning of Linear Regression with Multiple Pretrained Models: Benefiting from More Pretrained Models via Overparameterization Debiasing18 Feb 2026
- 2026Positive Distribution Shift as a Framework for Understanding Tractable Learning9 Feb 2026
- 2025Beyond Real Data: Synthetic Data through the Lens of Regularization9 Oct 2025
- 2025The Effect of Label Noise on the Information Content of Neural Representations7 Oct 2025
- 2025Transfer Learning in Infinite Width Feature Learning Networks6 Jul 2025
- 2025Cross-functional transferability in universal machine learning interatomic potentials7 Apr 2025
- 2025Provable Benefits of Unsupervised Pre-training and Transfer Learning via Single-Index Models24 Feb 2025
- 2024On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory16 Dec 2024
- 2024TL-PCA: Transfer Learning of Principal Component Analysis14 Oct 2024
- 2024Features are fate: a theory of transfer learning in high-dimensional regression10 Oct 2024
- 2024Optimal Protocols for Continual Learning via Statistical Physics and Control Theory26 Sep 2024
12 newest of 24 All 24 (JSON)