Papers › First-Order Manifold Data Augmentation for Regression Learning

First-Order Manifold Data Augmentation for Regression Learning

16 Jun 2024arXiv:2406.10914archive 2025-07-28

Ilya Kaufman, Omri Azencot

Data augmentation (DA) methods tailored to specific domains generate synthetic samples by applying transformations that are appropriate for the characteristics of the underlying data domain, such as rotations on images and time warping on time series data. In contrast, domain-independent approaches, e.g. mixup, are applicable to various data modalities, and as such they are general and versatile. While regularizing classification tasks via DA is a well-explored research topic, the effect of DA on regression problems received less attention. To bridge this gap, we study the problem of domain-independent augmentation for regression, and we introduce FOMA: a new data-driven domain-independent data augmentation method. Essentially, our approach samples new examples from the tangent planes of the train distribution. Augmenting data in this way aligns with the network tendency towards capturing the dominant features of its input signals. We evaluate FOMA on in-distribution generalization and out-of-distribution robustness benchmarks, and we show that it improves the generalization of several neural architectures. We also find that strong baselines based on mixup are less effective in comparison to our approach. Our code is publicly available athttps://github.com/azencot-group/FOMA.

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2ran · honoured contract
2ran · our draft was wrong
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apply_lambda_after_id_estimation azencot-group/foma/src/foma.py official repository ran · our draft was wrong MIT (permissive) · 992737ceb00c1e2e · report
calculate_lam_mult_by_rho azencot-group/foma/src/foma.py official repository ran · our draft was wrong MIT (permissive) · 69eb4e99ecdf894b · report
estimate azencot-group/foma/src/foma.py official repository ran · fixture could not drive it fingerprinted MIT (permissive) · b844e33b3a003151 · report
estimate_torch azencot-group/foma/src/foma.py official repository ran · fixture could not drive it fingerprinted MIT (permissive) · 08c0d2c3e4069924 · report
estimate_torch_batched azencot-group/foma/src/foma.py official repository ran · fixture could not drive it MIT (permissive) · 76a7ba5528c5faed · report
get_lambda azencot-group/foma/src/foma.py official repository ran · honoured contract MIT (permissive) · b028feaa536c72d9 · report
intrinsic_dimension_numpy azencot-group/foma/src/foma.py official repository ran · fixture could not drive it fingerprinted MIT (permissive) · 740e41729d6ca30c · report
reshape_inputs azencot-group/foma/src/foma.py official repository ran · honoured contract fingerprinted MIT (permissive) · e0fc78c1aad9efcf · report
estimate_intrinsic_dimension azencot-group/foma/src/foma.py official repository unverified MIT (permissive) · ee365304110b1199 · report
intrinsic_dimension azencot-group/foma/src/foma.py official repository unverified MIT (permissive) · e12761cee59f4395 · report
intrinsic_dimension_torch azencot-group/foma/src/foma.py official repository unverified MIT (permissive) · fc40f4839b659732 · report
scale_down azencot-group/foma/src/foma.py official repository unverified MIT (permissive) · 6f08048a12865928 · report

Tasks

Data Augmentationregression

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Methods

Mixup

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