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Mitigating catastrophic forgetting is a key hurdle in continual learning. Deep Generative Replay (GR) provides techniques focused on generating samples from prior tasks to enhance the model's memory capabilities using generative AI models…

Machine Learning · Computer Science 2024-03-25 Khanh Doan , Quyen Tran , Tung Lam Tran , Tuan Nguyen , Dinh Phung , Trung Le

The flow matching has rapidly become a dominant paradigm in classical generative modeling, offering an efficient way to interpolate between two complex distributions. We extend this idea to the quantum realm and introduce the Quantum Flow…

Quantum Physics · Physics 2026-02-03 Zidong Cui , Pan Zhang , Ying Tang

Data today is decentralized, generated and stored across devices and institutions where privacy, ownership, and regulation prevent centralization. This motivates the need to train generative models directly from distributed data locally…

Machine Learning · Computer Science 2025-09-26 Zifan Wang , Anqi Dong , Mahmoud Selim , Michael M. Zavlanos , Karl H. Johansson

The training of artificial neural networks (ANNs) with rectified linear unit (ReLU) activation via gradient descent (GD) type optimization schemes is nowadays a common industrially relevant procedure. Till this day in the scientific…

Machine Learning · Computer Science 2023-04-13 Simon Eberle , Arnulf Jentzen , Adrian Riekert , Georg S. Weiss

The rapid development of deep learning has significant implications for the advancement of Computational Fluid Dynamics (CFD). Currently, most pixel-grid-based deep learning methods for flow field prediction exhibit significantly reduced…

Fluid Dynamics · Physics 2024-04-11 Tianyu Li , Shufan Zou , Xinghua Chang , Laiping Zhang , Xiaogang Deng

The vast majority of modern deep learning models are trained with momentum-based first-order optimizers. The momentum term governs the optimizer's memory by determining how much each past gradient contributes to the current convergence…

Machine Learning · Computer Science 2026-05-12 Kristi Topollai , Anna Choromanska

Generative Flow Networks (GFlowNets) are a family of probabilistic generative models that learn to sample compositional objects proportional to their rewards. One big challenge of GFlowNets is training them effectively when dealing with…

Machine Learning · Computer Science 2025-06-16 Zarif Ikram , Ling Pan , Dianbo Liu

Implicit deep learning has recently become popular in the machine learning community since these implicit models can achieve competitive performance with state-of-the-art deep networks while using significantly less memory and computational…

Machine Learning · Computer Science 2022-05-17 Tianxiang Gao , Hongyang Gao

Training a large-scale deep neural network in a large-scale dataset is challenging and time-consuming. The recent breakthrough of large-batch optimization is a promising way to tackle this challenge. However, although the current advanced…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Zeyue Xue , Jianming Liang , Guanglu Song , Zhuofan Zong , Liang Chen , Yu Liu , Ping Luo

Flow Matching (FM) has emerged as a powerful paradigm for continuous normalizing flows, yet standard FM implicitly performs an unweighted $L^2$ regression over the entire ambient space. In high dimensions, this leads to a fundamental…

Machine Learning · Statistics 2026-05-26 Shinto Eguchi

The objective of this paper is to design novel multi-layer neural network architectures for multiscale simulations of flows taking into account the observed data and physical modeling concepts. Our approaches use deep learning concepts…

Numerical Analysis · Mathematics 2018-06-14 Yating Wang , Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Min Wang

This paper proposes a vision-conditioned flow matching (FM) framework for beam prediction in millimeter-wave vehicle-to-infrastructure links. Instead of modeling discrete beam-index sequences, the proposed method learns the temporal…

Signal Processing · Electrical Eng. & Systems 2026-04-14 Can Zheng , Jiguang He , Chung G. Kang , Guofa Cai , Chongwen Huang , Henk Wymeersch

Many theoretical studies on neural networks attribute their excellent empirical performance to the implicit bias or regularization induced by first-order optimization algorithms when training networks under certain initialization…

Machine Learning · Computer Science 2025-08-29 Hancheng Min , René Vidal

The integration of contextual embeddings into the optimization processes of large language models is an advancement in natural language processing. The Context-Aware Neural Gradient Mapping framework introduces a dynamic gradient adjustment…

Computation and Language · Computer Science 2025-04-25 David Boldo , Lily Pemberton , Gabriel Thistledown , Jacob Fairchild , Felix Kowalski

Training large-scale distributed machine learning models imposes considerable demands on network infrastructure, often resulting in sudden traffic spikes that lead to congestion, increased latency, and reduced throughput, which would…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-23 Yisu Wang , Xinjiao Li , Ruilong Wu , Huangxun Chen , Dirk Kutscher

Recently many first and second order variants of SGD have been proposed to facilitate training of Deep Neural Networks (DNNs). A common limitation of these works stem from the fact that they use the same learning rate across all instances…

Machine Learning · Computer Science 2021-05-31 Shreyas Saxena , Nidhi Vyas , Dennis DeCoste

Optimization and generalization are two essential aspects of statistical machine learning. In this paper, we propose a framework to connect optimization with generalization by analyzing the generalization error based on the optimization…

Machine Learning · Statistics 2022-10-13 Fusheng Liu , Haizhao Yang , Soufiane Hayou , Qianxiao Li

Granular flows govern many natural and industrial processes, yet their interior kinematics and mechanics remain largely unobservable, as experiments access only boundaries or free surfaces. Conventional numerical simulations are…

Computational Engineering, Finance, and Science · Computer Science 2026-05-26 Xuyang Li , Rui Li , Teng Man , Yimin Lu

Learning rules -- prescriptions for updating model parameters to improve performance -- are typically assumed rather than derived. Why do some learning rules work better than others, and under what assumptions can a given rule be considered…

Machine Learning · Computer Science 2025-11-03 John J. Vastola , Samuel J. Gershman , Kanaka Rajan

The recently proposed generative flow networks (GFlowNets) are a method of training a policy to sample compositional discrete objects with probabilities proportional to a given reward via a sequence of actions. GFlowNets exploit the…

Machine Learning · Computer Science 2024-02-27 Daniil Tiapkin , Nikita Morozov , Alexey Naumov , Dmitry Vetrov
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