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Linear Mode Connectivity in Multitask and Continual Learning

ICLR 2021 · Continual learning › Online and replay-based · approach: Theoretical analysis of forgetting · 38 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use MC-SGD's replay-plus-linear-connectivity objective instead of Stable SGDContinual learning · Permuted MNIST, 20 tasksAverage accuracy: 80.1 ($\pm$0.51) -> 85.3 ($\pm$0.61)Helped
Use MC-SGD's replay-plus-linear-connectivity objective instead of Stable SGDContinual learning · Permuted MNIST, 20 tasksAverage forgetting: 0.09 ($\pm$0.01) -> 0.06 ($\pm$0.01)Helped
Use MC-SGD's replay-plus-linear-connectivity objective instead of Stable SGDContinual learning · Rotated MNIST, 20 tasksAverage accuracy: 70.8 ($\pm$0.78) -> 82.3 ($\pm$0.68)Helped
Use MC-SGD's replay-plus-linear-connectivity objective instead of Stable SGDContinual learning · Rotated MNIST, 20 tasksAverage forgetting: 0.10 ($\pm$0.02) -> 0.08 ($\pm$0.01)Helped
Use MC-SGD's replay-plus-linear-connectivity objective instead of Stable SGDContinual learning · Split CIFAR-100, 20 tasksAverage accuracy: 59.9 ($\pm$1.81) -> 63.3 ( $\pm$2.21)Helped
Use MC-SGD's replay-plus-linear-connectivity objective instead of Stable SGDContinual learning · Split CIFAR-100, 20 tasksAverage forgetting: 0.08 ($\pm$ 0.03) -> 0.06 ($\pm$ 0.03)Helped
Start multitask and continual training from different initializations (ablation)Multitask and continual solutions · Split CIFAR-100Linear connectivity (interpolation loss)Hurt
Add Gaussian noise to the second task's input images (ablation)Multitask and continual solutions · Fashion-MNIST after MNISTLinear connectivity (interpolation loss)Hurt
Corrupt labels in the second task (ablation)Multitask and continual solutions · Fashion-MNIST after MNISTLinear connectivity (interpolation loss)Hurt
Remove classes from the first task's training examples used for multitask training (ablation)Multitask and continual solutions · Two-task MNISTLinear connectivity (interpolation loss)Hurt
Use the linear-connectivity objective with replay instead of replay-only methodsContinual learning · Permuted MNIST, Rotated MNIST, and Split CIFAR-100Average accuracy: MC-SGD outperforms A-GEM and ER-Reservoir on all three benchmarksHelped
Move from a first-task solution toward a later continual-learning minimum rather than a multitask minimumSequential training · Rotated MNIST and Split CIFAR-100Previous-task validation loss along interpolationHurt

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