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This dissertation studies a fundamental open challenge in deep learning theory: why do deep networks generalize well even while being overparameterized, unregularized and fitting the training data to zero error? In the first part of the…

Machine Learning · Computer Science 2021-10-19 Vaishnavh Nagarajan

Diffusion models surpass previous generative models in sample quality and training stability. Recent works have shown the advantages of diffusion models in improving reinforcement learning (RL) solutions. This survey aims to provide an…

Machine Learning · Computer Science 2024-02-26 Zhengbang Zhu , Hanye Zhao , Haoran He , Yichao Zhong , Shenyu Zhang , Haoquan Guo , Tingting Chen , Weinan Zhang

Diffusion models are central to modern generative modeling, and understanding how they balance memorization and generalization is critical for reliable deployment. Recent work has shown that memorization in diffusion models is shaped by…

Machine Learning · Computer Science 2026-04-28 Bingqing Jiang , Difan Zou

Though deep neural networks have achieved impressive success on various vision tasks, obvious performance degradation still exists when models are tested in out-of-distribution scenarios. In addressing this limitation, we ponder that the…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Xiaotong Li , Zixuan Hu , Jun Liu , Yixiao Ge , Yongxing Dai , Ling-Yu Duan

We perform an average case analysis of the generalization dynamics of large neural networks trained using gradient descent. We study the practically-relevant "high-dimensional" regime where the number of free parameters in the network is on…

Machine Learning · Statistics 2017-10-11 Madhu S. Advani , Andrew M. Saxe

Diffusion-based generative methods have proven effective in modeling trajectories with offline datasets. However, they often face computational challenges and can falter in generalization, especially in capturing temporal abstractions for…

Machine Learning · Computer Science 2024-01-08 Chang Chen , Fei Deng , Kenji Kawaguchi , Caglar Gulcehre , Sungjin Ahn

Despite their massive size, successful deep artificial neural networks can exhibit a remarkably small difference between training and test performance. Conventional wisdom attributes small generalization error either to properties of the…

Machine Learning · Computer Science 2017-02-28 Chiyuan Zhang , Samy Bengio , Moritz Hardt , Benjamin Recht , Oriol Vinyals

In recent years, generative diffusion models have achieved a rapid paradigm shift in deep generative models by showing groundbreaking performance across various applications. Meanwhile, structured data, encompassing tabular and time series…

Machine Learning · Computer Science 2023-07-11 Heejoon Koo , To Eun Kim

Diffusion models excel at generative modeling (e.g., text-to-image) but sampling requires multiple denoising network passes, limiting practicality. Efforts such as progressive distillation or consistency distillation have shown promise by…

Machine Learning · Computer Science 2025-04-01 Risheek Garrepalli , Shweta Mahajan , Munawar Hayat , Fatih Porikli

Diffusion probabilistic models have quickly become a major approach for generative modeling of images, 3D geometry, video and other domains. However, to adapt diffusion generative modeling to these domains the denoising network needs to be…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Peiye Zhuang , Samira Abnar , Jiatao Gu , Alex Schwing , Joshua M. Susskind , Miguel Ángel Bautista

Recent success of large text-to-image models has empirically underscored the exceptional performance of diffusion models in generative tasks. To facilitate their efficient deployment on resource-constrained edge devices, model quantization…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Qian Zeng , Chenggong Hu , Mingli Song , Jie Song

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

Social and Information Networks · Computer Science 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

We investigate the approximation efficiency of score functions by deep neural networks in diffusion-based generative modeling. While existing approximation theories utilize the smoothness of score functions, they suffer from the curse of…

Machine Learning · Computer Science 2023-09-21 Song Mei , Yuchen Wu

Diffusion Models enable realistic image generation, raising the risk of misinformation and eroding public trust. Currently, detecting images generated by unseen diffusion models remains challenging due to the limited generalization…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Yingjian Chen , Lei Zhang , Yakun Niu , Lei Tan , Pei Chen

Overfitting data is a well-known phenomenon related with the generation of a model that mimics too closely (or exactly) a particular instance of data, and may therefore fail to predict future observations reliably. In practice, this…

Machine Learning · Statistics 2023-04-14 Matias Vera , Leonardo Rey Vega , Pablo Piantanida

Diffusion language models offer a promising alternative to autoregressive models due to their global, non-causal generation process, but their continuous latent dynamics make discrete constraints -- e.g., the output should be a JSON file…

Machine Learning · Computer Science 2026-05-28 Jinwoo Kim , Taylor Berg-Kirkpatrick , Loris D'Antoni

Autoregressive (AR) models have long dominated the landscape of large language models, driving progress across a wide range of tasks. Recently, diffusion-based language models have emerged as a promising alternative, though their advantages…

Machine Learning · Computer Science 2025-10-28 Mihir Prabhudesai , Mengning Wu , Amir Zadeh , Katerina Fragkiadaki , Deepak Pathak

At the heart of machine learning lies the question of generalizability of learned rules over previously unseen data. While over-parameterized models based on neural networks are now ubiquitous in machine learning applications, our…

Machine Learning · Computer Science 2020-05-04 Melikasadat Emami , Mojtaba Sahraee-Ardakan , Parthe Pandit , Sundeep Rangan , Alyson K. Fletcher

Predictive models that generalize well under distributional shift are often desirable and sometimes crucial to building robust and reliable machine learning applications. We focus on distributional shift that arises in causal inference from…

Machine Learning · Statistics 2018-02-27 Fredrik D. Johansson , Nathan Kallus , Uri Shalit , David Sontag

Machine learning models struggle with generalization when encountering out-of-distribution (OOD) samples with unexpected distribution shifts. For vision tasks, recent studies have shown that test-time adaptation employing diffusion models…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Yun-Yun Tsai , Fu-Chen Chen , Albert Y. C. Chen , Junfeng Yang , Che-Chun Su , Min Sun , Cheng-Hao Kuo