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Diffusion probabilistic models have become a cornerstone of modern generative AI, yet the mechanisms underlying their generalization remain poorly understood. In fact, if these models were perfectly minimizing their training loss, they…

Machine Learning · Computer Science 2025-09-03 Alessandro Favero , Antonio Sclocchi , Matthieu Wyart

In this paper we propose to study generalization of neural networks on small algorithmically generated datasets. In this setting, questions about data efficiency, memorization, generalization, and speed of learning can be studied in great…

Machine Learning · Computer Science 2022-01-07 Alethea Power , Yuri Burda , Harri Edwards , Igor Babuschkin , Vedant Misra

Replay in neural networks involves training on sequential data with memorized samples, which counteracts forgetting of previous behavior caused by non-stationarity. We present a method where these auxiliary samples are generated on the fly,…

Machine Learning · Computer Science 2020-12-15 Xu Ji , Joao Henriques , Tinne Tuytelaars , Andrea Vedaldi

The recent work of Papyan, Han, & Donoho (2020) presented an intriguing "Neural Collapse" phenomenon, showing a structural property of interpolating classifiers in the late stage of training. This opened a rich area of exploration studying…

Machine Learning · Computer Science 2022-02-18 Like Hui , Mikhail Belkin , Preetum Nakkiran

Selective forgetting or removing information from deep neural networks (DNNs) is essential for continual learning and is challenging in controlling the DNNs. Such forgetting is crucial also in a practical sense since the deployed DNNs may…

Machine Learning · Statistics 2021-01-01 Tomohiro Hayase , Suguru Yasutomi , Takashi Katoh

Neural networks are surprisingly good at interpolating and perform remarkably well when the training set examples resemble those in the test set. However, they are often unable to extrapolate patterns beyond the seen data, even when the…

Machine Learning · Computer Science 2020-04-23 Yann Dubois , Gautier Dagan , Dieuwke Hupkes , Elia Bruni

The robust generalization of models to rare, in-distribution (ID) samples drawn from the long tail of the training distribution and to out-of-training-distribution (OOD) samples is one of the major challenges of current deep learning…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Paul Gavrikov , Janis Keuper

The widespread use of diffusion models has led to an abundance of AI-generated data, raising concerns about model collapse -- a phenomenon in which recursive iterations of training on synthetic data lead to performance degradation. Prior…

Machine Learning · Computer Science 2025-12-29 Lianghe Shi , Meng Wu , Huijie Zhang , Zekai Zhang , Molei Tao , Qing Qu

In supervised learning, it is known that overparameterized neural networks with one hidden layer provably and efficiently learn and generalize, when trained using stochastic gradient descent with a sufficiently small learning rate and…

Machine Learning · Computer Science 2022-03-24 Kulin Shah , Amit Deshpande , Navin Goyal

The learned weights of a neural network are often considered devoid of scrutable internal structure. To discern structure in these weights, we introduce a measurable notion of modularity for multi-layer perceptrons (MLPs), and investigate…

Neural and Evolutionary Computing · Computer Science 2022-02-09 Daniel Filan , Shlomi Hod , Cody Wild , Andrew Critch , Stuart Russell

Large language models (LLMs) achieve good performance on challenging reasoning benchmarks, yet could also make basic reasoning mistakes. This contrasting behavior is puzzling when it comes to understanding the mechanisms behind LLMs'…

Computation and Language · Computer Science 2025-03-05 Chulin Xie , Yangsibo Huang , Chiyuan Zhang , Da Yu , Xinyun Chen , Bill Yuchen Lin , Bo Li , Badih Ghazi , Ravi Kumar

We show that the influence of a subset of the training samples can be removed -- or "forgotten" -- from the weights of a network trained on large-scale image classification tasks, and we provide strong computable bounds on the amount of…

Machine Learning · Computer Science 2021-06-22 Aditya Golatkar , Alessandro Achille , Avinash Ravichandran , Marzia Polito , Stefano Soatto

Machine learning models often rely on simple spurious features -- patterns in training data that correlate with targets but are not causally related to them, like image backgrounds in foreground classification. This reliance typically leads…

Machine Learning · Computer Science 2025-06-06 Chenyu You , Haocheng Dai , Yifei Min , Jasjeet S. Sekhon , Sarang Joshi , James S. Duncan

This paper presents a neural network model (associative memory model) for memory and recall of images. In this model, only a single neuron can memorize multi-images and when that neuron is activated, it is possible to recall all the…

Neural and Evolutionary Computing · Computer Science 2025-10-09 Hiroshi Inazawa

Imitation learning enables robots to learn and replicate human behavior from training data. Recent advances in machine learning enable end-to-end learning approaches that directly process high-dimensional observation data, such as images.…

Robotics · Computer Science 2024-01-22 Koki Yamane , Sho Sakaino , Toshiaki Tsuji

As deep generative models have progressed, recent work has shown them to be capable of memorizing and reproducing training datapoints when deployed. These findings call into question the usability of generative models, especially in light…

The rise of deep neural networks has led to several breakthroughs for semantic segmentation. In spite of this, a model trained on source domain often fails to work properly in new challenging domains, that is directly concerned with the…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Jin Kim , Jiyoung Lee , Jungin Park , Dongbo Min , Kwanghoon Sohn

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

Dropout as regularization has been used extensively to prevent overfitting for training neural networks. During training, units and their connections are randomly dropped, which could be considered as sampling many different submodels from…

Machine Learning · Computer Science 2022-04-28 Zhaoyuan Yang , Arpit Jain

Memory-based learning, keeping full memory of learning material, appears a viable approach to learning NLP tasks, and is often superior in generalisation accuracy to eager learning approaches that abstract from learning material. Here we…

cmp-lg · Computer Science 2007-05-23 Antal van den Bosch , Walter Daelemans