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Learning the distribution of data on Riemannian manifolds is crucial for modeling data from non-Euclidean space, which is required by many applications in diverse scientific fields. Yet, existing generative models on manifolds suffer from…

Machine Learning · Computer Science 2024-06-04 Jaehyeong Jo , Sung Ju Hwang

Discrete diffusion models offer a promising alternative to autoregressive generation through parallel decoding, but they suffer from a sampling wall: once categorical sampling occurs, rich distributional information collapses into one-hot…

Machine Learning · Computer Science 2026-05-14 Mingyu Jo , Jaesik Yoon , Justin Deschenaux , Caglar Gulcehre , Sungjin Ahn

Neural networks suffer from catastrophic forgetting and are unable to sequentially learn new tasks without guaranteed stationarity in data distribution. Continual learning could be achieved via replay -- by concurrently training externally…

While deep neural networks have demonstrated groundbreaking performance in various settings, these models often suffer from \emph{catastrophic forgetting} when trained on new tasks in sequence. Several works have empirically demonstrated…

Machine Learning · Computer Science 2024-06-21 Etash Guha , Vihan Lakshman

This paper studies the capability of a recurrent neural network model to memorize random dynamical firing patterns by a simple local learning rule. Two modes of learning/memorization are considered: The first mode is strictly online, with a…

Information Theory · Computer Science 2020-01-10 Patrick Murer , Hans-Andrea Loeliger

Diffusion models are generative models that have shown significant advantages compared to other generative models in terms of higher generation quality and more stable training. However, the computational need for training diffusion models…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Gulcin Baykal , Halil Faruk Karagoz , Taha Binhuraib , Gozde Unal

An important difference between brains and deep neural networks is the way they learn. Nervous systems learn online where a stream of noisy data points are presented in a non-independent, identically distributed (non-i.i.d.) way. Further,…

Neural and Evolutionary Computing · Computer Science 2023-07-28 Nick Alonso , Jeff Krichmar

In real-world applications, learning-enabled systems often undergo iterative model development to address challenging or emerging tasks, which involve collecting new data, training a new model and validating the model. This continual model…

Machine Learning · Computer Science 2025-04-22 Gang Li , Wendi Yu , Yao Yao , Wei Tong , Yingbin Liang , Qihang Lin , Tianbao Yang

Deep generative models produce data according to a learned representation, e.g. diffusion models, through a process of approximation computing possible samples. Approximation can be understood as reconstruction and the large datasets used…

Human-Computer Interaction · Computer Science 2023-09-25 Luís Arandas , Mick Grierson , Miguel Carvalhais

Continual learning models allow to learn and adapt to new changes and tasks over time. However, in continual and sequential learning scenarios in which the models are trained using different data with various distributions, neural networks…

Machine Learning · Computer Science 2020-08-17 HongLin Li , Payam Barnaghi , Shirin Enshaeifar , Frieder Ganz

A human brain is capable of continual learning by nature; however the current mainstream deep neural networks suffer from a phenomenon named catastrophic forgetting (i.e., learning a new set of patterns suddenly and completely would result…

Machine Learning · Computer Science 2019-03-11 Zhenfeng Cao

Diffusion models have established themselves as state-of-the-art generative models across various data modalities, including images and videos, due to their ability to accurately approximate complex data distributions. Unlike traditional…

Machine Learning · Computer Science 2025-10-23 Daniel Wesego

Modern successes of diffusion models in learning complex, high-dimensional data distributions are attributed, in part, to their capability to construct diffusion processes with analytic transition kernels and score functions. The…

Machine Learning · Statistics 2024-03-01 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou , Molei Tao

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

Strong generative models can accurately learn channel distributions. This could save recurring costs for physical measurements of the channel. Moreover, the resulting differentiable channel model supports training neural encoders by…

Information Theory · Computer Science 2024-06-12 Muah Kim , Rick Fritschek , Rafael F. Schaefer

In this study we introduce a novel energy functional for long-sequence memory, building upon the framework of dense Hopfield networks which achieves exponential storage capacity through higher-order interactions. Building upon earlier work…

Machine Learning · Computer Science 2025-07-03 Ahmed Farooq

Learning new tasks continuously without forgetting on a constantly changing data distribution is essential for real-world problems but extremely challenging for modern deep learning. In this work we propose HCL, a Hybrid…

Generative Diffusion Models (GDMs) have emerged as a transformative force in the realm of Generative Artificial Intelligence (GenAI), demonstrating their versatility and efficacy across various applications. The ability to model complex…

Networking and Internet Architecture · Computer Science 2024-05-09 Hongyang Du , Ruichen Zhang , Yinqiu Liu , Jiacheng Wang , Yijing Lin , Zonghang Li , Dusit Niyato , Jiawen Kang , Zehui Xiong , Shuguang Cui , Bo Ai , Haibo Zhou , Dong In Kim

Continual learning seeks to enable deep learners to train on a series of tasks of unknown length without suffering from the catastrophic forgetting of previous tasks. One effective solution is replay, which involves storing few previous…

Machine Learning · Computer Science 2023-08-04 Daniel Brignac , Niels Lobo , Abhijit Mahalanobis

Training energy-based models (EBMs) on high-dimensional data can be both challenging and time-consuming, and there exists a noticeable gap in sample quality between EBMs and other generative frameworks like GANs and diffusion models. To…

Machine Learning · Statistics 2024-11-12 Yaxuan Zhu , Jianwen Xie , Yingnian Wu , Ruiqi Gao
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