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Despite the popularity and success of deep learning, there is limited understanding of when, how, and why neural networks generalize to unseen examples. Since learning can be seen as extracting information from data, we formally study…

Machine Learning · Computer Science 2023-06-29 Hrayr Harutyunyan

Large language models (LLMs) have achieved impressive results in natural language processing but are prone to memorizing portions of their training data, which can compromise evaluation metrics, raise privacy concerns, and limit…

Machine Learning · Computer Science 2024-12-03 Eduardo Slonski

Multiple studies have probed representations emerging in neural networks trained for end-to-end NLP tasks and examined what word-level linguistic information may be encoded in the representations. In classical probing, a classifier is…

Computation and Language · Computer Science 2021-10-26 Rudolf Rosa , Tomáš Musil , David Mareček

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

Recent efforts at explaining the interplay of memorization and generalization in deep overparametrized networks have posited that neural networks $\textit{memorize}$ "hard" examples in the final few layers of the model. Memorization refers…

Machine Learning · Computer Science 2023-07-20 Pratyush Maini , Michael C. Mozer , Hanie Sedghi , Zachary C. Lipton , J. Zico Kolter , Chiyuan Zhang

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

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

We investigate how Large Language Models (LLMs) distinguish between memorization and generalization at the neuron level. Through carefully designed tasks, we identify distinct neuron subsets responsible for each behavior. Experiments on…

Computation and Language · Computer Science 2025-07-10 Ko-Wei Huang , Yi-Fu Fu , Ching-Yu Tsai , Yu-Chieh Tu , Tzu-Ling Cheng , Cheng-Yu Lin , Yi-Ting Yang , Heng-Yi Liu , Keng-Te Liao , Da-Cheng Juan , Shou-De Lin

Measuring similarity of neural networks to understand and improve their behavior has become an issue of great importance and research interest. In this survey, we provide a comprehensive overview of two complementary perspectives of…

Machine Learning · Computer Science 2025-05-22 Max Klabunde , Tobias Schumacher , Markus Strohmaier , Florian Lemmerich

Models for learning probability distributions such as generative models and density estimators behave quite differently from models for learning functions. One example is found in the memorization phenomenon, namely the ultimate convergence…

Machine Learning · Statistics 2021-03-03 Hongkang Yang , Weinan E

Sequential activation of neurons is a common feature of network activity during a variety of behaviors, including working memory and decision making. Previous network models for sequences and memory emphasized specialized architectures in…

Neurons and Cognition · Quantitative Biology 2016-03-16 Kanaka Rajan , Christopher D Harvey , David W Tank

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

When do diffusion models reproduce their training data, and when are they able to generate samples beyond it? A practically relevant theoretical understanding of this interplay between memorization and generalization may significantly…

Machine Learning · Computer Science 2025-08-26 Sam Buchanan , Druv Pai , Yi Ma , Valentin De Bortoli

Large language models (LMs) have been shown to memorize parts of their training data, and when prompted appropriately, they will emit the memorized training data verbatim. This is undesirable because memorization violates privacy (exposing…

Machine Learning · Computer Science 2023-03-07 Nicholas Carlini , Daphne Ippolito , Matthew Jagielski , Katherine Lee , Florian Tramer , Chiyuan Zhang

Neural networks often learn simple explanations that fit the majority of the data while memorizing exceptions that deviate from these explanations.This behavior leads to poor generalization when the learned explanations rely on spurious…

Machine Learning · Computer Science 2024-12-11 Reza Bayat , Mohammad Pezeshki , Elvis Dohmatob , David Lopez-Paz , Pascal Vincent

The predictive power of neural networks often costs model interpretability. Several techniques have been developed for explaining model outputs in terms of input features; however, it is difficult to translate such interpretations into…

Machine Learning · Computer Science 2017-08-17 Benjamin J. Lengerich , Sandeep Konam , Eric P. Xing , Stephanie Rosenthal , Manuela Veloso

Memorization in language models is typically treated as a homogenous phenomenon, neglecting the specifics of the memorized data. We instead model memorization as the effect of a set of complex factors that describe each sample and relate it…

Deep neural networks may easily memorize noisy labels present in real-world data, which degrades their ability to generalize. It is therefore important to track and evaluate the robustness of models against noisy label memorization. We…

Machine Learning · Computer Science 2022-12-09 Mahsa Forouzesh , Hanie Sedghi , Patrick Thiran

Public datasets are often used to evaluate the efficacy and generalizability of state-of-the-art methods for many tasks in natural language processing (NLP). However, the presence of overlap between the train and test datasets can lead to…

Computation and Language · Computer Science 2021-02-04 Aparna Elangovan , Jiayuan He , Karin Verspoor

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
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