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Deep learning algorithms are well-known to have a propensity for fitting the training data very well and often fit even outliers and mislabeled data points. Such fitting requires memorization of training data labels, a phenomenon that has…

Machine Learning · Computer Science 2020-08-11 Vitaly Feldman , Chiyuan Zhang

A recent study by Feldman (2020) proposed a long-tail theory to explain the memorization behavior of deep learning models. However, memorization has not been empirically verified in the context of NLP, a gap addressed by this work. In this…

Computation and Language · Computer Science 2022-03-24 Xiaosen Zheng , Jing Jiang

We propose a simple data model inspired from natural data such as text or images, and use it to study the importance of learning features in order to achieve good generalization. Our data model follows a long-tailed distribution in the…

Machine Learning · Computer Science 2023-01-02 Thomas Laurent , James H. von Brecht , Xavier Bresson

Modern machine learning models are complex and frequently encode surprising amounts of information about individual inputs. In extreme cases, complex models appear to memorize entire input examples, including seemingly irrelevant…

Machine Learning · Computer Science 2021-07-23 Gavin Brown , Mark Bun , Vitaly Feldman , Adam Smith , Kunal Talwar

Over-parameterized deep neural networks are able to achieve excellent training accuracy while maintaining a small generalization error. It has also been found that they are able to fit arbitrary labels, and this behaviour is referred to as…

Machine Learning · Computer Science 2021-12-17 Futong Liu , Tao Lin , Martin Jaggi

Recent research shows that modern deep learning models achieve high predictive accuracy partly by memorizing individual training samples. Such memorization raises serious privacy concerns, motivating the widespread adoption of…

Machine Learning · Computer Science 2026-02-05 Jiaming Zhang , Huanyi Xie , Meng Ding , Shaopeng Fu , Jinyan Liu , Di Wang

Despite the empirical advances of deep learning across a variety of learning tasks, our theoretical understanding of its success is still very restricted. One of the key challenges is the overparametrized nature of modern models, enabling…

Machine Learning · Computer Science 2023-02-24 Sotiris Anagnostidis , Gregor Bachmann , Lorenzo Noci , Thomas Hofmann

Deep learning has led researchers to rethink the relationship between memorization and generalization. In many settings, memorization does not hurt generalization due to implicit regularization and may help by memorizing long-tailed…

Machine Learning · Computer Science 2025-10-22 Mo Zhou , Haoyang Ma , Rong Ge

Deep learning models have a propensity for fitting the entire training set even with random labels, which requires memorization of every training sample. In this paper, we explore the memorization effect in adversarial training (AT) for…

Machine Learning · Computer Science 2022-03-15 Yinpeng Dong , Ke Xu , Xiao Yang , Tianyu Pang , Zhijie Deng , Hang Su , Jun Zhu

Overparameterized deep networks that generalize well have been key to the dramatic success of deep learning in recent years. The reasons for their remarkable ability to generalize are not well understood yet. When class labels in the…

Machine Learning · Computer Science 2026-02-03 Simran Ketha , Venkatakrishnan Ramaswamy

Network compression is now a mature sub-field of neural network research: over the last decade, significant progress has been made towards reducing the size of models and speeding up inference, while maintaining the classification accuracy.…

Machine Learning · Computer Science 2023-06-29 Harvey Dam , Vinu Joseph , Aditya Bhaskara , Ganesh Gopalakrishnan , Saurav Muralidharan , Michael Garland

The role of memorization in machine learning (ML) has garnered significant attention, particularly as modern models are empirically observed to memorize fragments of training data. Previous theoretical analyses, such as Feldman's seminal…

Machine Learning · Computer Science 2025-03-11 Qiongxiu Li , Xiaoyu Luo , Yiyi Chen , Johannes Bjerva

Recent research demonstrated that training large language models involves memorization of a significant fraction of training data. Such memorization can lead to privacy violations when training on sensitive user data and thus motivates the…

Machine Learning · Computer Science 2025-10-29 Vitaly Feldman , Guy Kornowski , Xin Lyu

Long-tailed data is prevalent in real-world classification tasks and heavily relies on supervised information, which makes the annotation process exceptionally labor-intensive and time-consuming. Unfortunately, despite being a common…

Machine Learning · Computer Science 2024-12-04 Meng Wei , Zhongnian Li , Yong Zhou , Xinzheng Xu

Large language models readily memorize arbitrary training instances, such as label noise, yet they perform strikingly well on reasoning tasks. In this work, we investigate how language models memorize label noise, and why such memorization…

Computation and Language · Computer Science 2025-10-03 Yupei Du , Philipp Mondorf , Silvia Casola , Yuekun Yao , Robert Litschko , Barbara Plank

Large Language Models (LLMs) have demonstrated remarkable capabilities across a wide range of tasks, yet they also exhibit memorization of their training data. This phenomenon raises critical questions about model behavior, privacy risks,…

Machine Learning · Computer Science 2025-12-15 Alexander Xiong , Xuandong Zhao , Aneesh Pappu , Dawn Song

Neural networks pose a privacy risk due to their propensity to memorise and leak training data. We show that unique features occurring only once in training data are memorised by discriminative multi-layer perceptrons and convolutional…

Machine Learning · Computer Science 2022-05-23 John Hartley , Sotirios A. Tsaftaris

Recent theoretical studies (Kou et al., 2023; Cao et al., 2022) have revealed a sharp phase transition from benign to harmful overfitting when the noise-to-feature ratio exceeds a threshold-a situation common in long-tailed data…

Machine Learning · Computer Science 2025-06-10 Ruichen Xu , Kexin Chen

Neural networks pose a privacy risk to training data due to their propensity to memorise and leak information. Focusing on image classification, we show that neural networks also unintentionally memorise unique features even when they occur…

Machine Learning · Computer Science 2022-06-06 John Hartley , Sotirios A. Tsaftaris

Highly over-parameterized models can simultaneously memorize noisy labels and generalize well, yet how these behaviors coexist remains poorly understood. In this work, we investigate the underlying mechanisms of this coexistence using…

Machine Learning · Computer Science 2026-05-19 Linyu Liu , Pinyan Lu
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