Causal graphs [e.g., Pearl, 2009, Spirtes et al., 2000] allow us to reason about this in a principled way when the domains correspond to different external interventions on the system, or

Of course, spotting near duplicates of training observations is only possible because these models yield realistic samples. This section describes additional details of the data sets, model architectures, and experimental setup. CIFAR-10 contains color images from 10 different categories and does not require further preprocessing. For CIFAR-10 and CelebA we used random horizontal flips during training as data augmentation. Full details of the model architecture are given in Table 1.

T ( x) = [CLS]x It was [MASK]. PLM to extract the label-related words from the whole unlabeled training corpus. We report the hyper-parameters in Table 2. Most of the hyper-parameters are the default parameters Thus, we provide insight into the effect of β, k and λ on the final results. We think the model may require more reference when there is no data for training. We will leave the engineering optimization about retrieval speed in our future work.

The limitations of rote memorization remind us of the human learning process of "learn by analogy"

Detecting such memorization could be challenging, often requiring researchers to curate tailored test sets.

It is well known that modern deep neural networks are powerful enough to memorize datasets even when the labels have been randomized.

Machine learning models trained on private datasets have been shown to leak their private data. While recent work has found that the average data point is rarely leaked, the outlier samples are frequently subject to memorization and, consequently, privacy leakage.

The ACIL gives identical results either in growing-exemplar or fixed memory settings.

Many results in recent years established polynomial time learnability of various models via neural networks algorithms (e.g.

Layer Normalization (LayerNorm) is one of the fundamental components in transformers that stabilizes training and improves optimization. In recent times, Pre-LayerNorm transformers have become the preferred choice over Post-LayerNorm transformers due to their stable gradient flow. However, the impact of LayerNorm on learning and memorization across these architectures remains unclear. In this work, we investigate how LayerNorm influences memorization and learning for Pre- and Post-LayerNorm transformers. We identify that LayerNorm serves as a key factor for stable learning in Pre-LayerNorm transformers, while in Post-LayerNorm transformers, it impacts memorization. Our analysis reveals that eliminating LayerNorm parameters in Pre-LayerNorm models exacerbates memorization and destabilizes learning, while in Post-LayerNorm models, it effectively mitigates memorization by restoring genuine labels. We further precisely identify that early layers LayerNorm are the most critical over middle/later layers and their influence varies across Pre and Post LayerNorm models. We have validated it through 13 models across 6 Vision and Language datasets. These insights shed new light on the role of LayerNorm in shaping memorization and learning in transformers.