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The field of artificial neural network (ANN) training has garnered significant attention in recent years, with researchers exploring various mathematical techniques for optimizing the training process. In particular, this paper focuses on…

Functional Analysis · Mathematics 2023-06-23 Arzu Ahmadova

We propose Functional Flow Matching (FFM), a function-space generative model that generalizes the recently-introduced Flow Matching model to operate in infinite-dimensional spaces. Our approach works by first defining a path of probability…

Machine Learning · Computer Science 2023-12-07 Gavin Kerrigan , Giosue Migliorini , Padhraic Smyth

Graph foundation models (GFM) aim to acquire transferable knowledge by pre-training on diverse graphs, which can be adapted to various downstream tasks. However, domain shift in graphs is inherently two-dimensional: graphs differ not only…

Computation and Language · Computer Science 2026-03-12 Xingtong Yu , Shenghua Ye , Ruijuan Liang , Chang Zhou , Hong Cheng , Xinming Zhang , Yuan Fang

Contextual optimization enhances decision quality by leveraging side information to improve predictions of uncertain parameters. However, existing approaches face significant challenges when dealing with multimodal or mixtures of…

Optimization and Control · Mathematics 2025-09-19 YoungChul Yoon , Grani A. Hanasusanto , Yijie Wang

This paper studies deep network architectures to address the problem of video classification. A multi-stream framework is proposed to fully utilize the rich multimodal information in videos. Specifically, we first train three Convolutional…

Computer Vision and Pattern Recognition · Computer Science 2015-11-12 Zuxuan Wu , Yu-Gang Jiang , Xi Wang , Hao Ye , Xiangyang Xue , Jun Wang

Learning the underlying dynamics of single cells from snapshot data has gained increasing attention in scientific and machine learning research. The destructive measurement technique and cell proliferation/death result in unpaired and…

Machine Learning · Computer Science 2025-11-11 Dongyi Wang , Yuanwei Jiang , Zhenyi Zhang , Xiang Gu , Peijie Zhou , Jian Sun

We propose a machine learning framework based on Flow Matching (FM) to identify critical properties in many-body systems efficiently. Using the 2D XY model as a benchmark, we demonstrate that a single network, trained only on configurations…

Statistical Mechanics · Physics 2026-01-06 Qian-Rui Lee , Daw-Wei Wang

This paper presents a novel technique based on gradient boosting to train the final layers of a neural network (NN). Gradient boosting is an additive expansion algorithm in which a series of models are trained sequentially to approximate a…

Machine Learning · Computer Science 2023-05-05 Seyedsaman Emami , Gonzalo Martínez-Muñoz

In federated learning (FL), model training performance is strongly impacted by data heterogeneity across clients. Client-drift compensation methods have recently emerged as a solution to this issue, introducing correction terms into local…

Machine Learning · Computer Science 2025-05-20 Evan Chen , Shiqiang Wang , Jianing Zhang , Dong-Jun Han , Chaoyue Liu , Christopher Brinton

Molecular Dynamics (MD) simulation is a powerful tool for understanding the dynamics and structure of matter. Since the resolution of MD is atomic-scale, achieving long time-scale simulations with femtosecond integration is very expensive.…

Machine Learning · Computer Science 2022-04-27 Zijie Li , Kazem Meidani , Prakarsh Yadav , Amir Barati Farimani

Gradient regularization (GR) is a method that penalizes the gradient norm of the training loss during training. While some studies have reported that GR can improve generalization performance, little attention has been paid to it from the…

Machine Learning · Computer Science 2023-02-06 Ryo Karakida , Tomoumi Takase , Tomohiro Hayase , Kazuki Osawa

We introduce Hindsight-Guided Momentum (HGM), a first-order optimization algorithm that adaptively scales learning rates based on the directional consistency of recent updates. Traditional adaptive methods, such as Adam or RMSprop , adapt…

Optimization and Control · Mathematics 2025-07-01 Krisanu Sarkar

We tackle the problem of sampling from intractable high-dimensional density functions, a fundamental task that often appears in machine learning and statistics. We extend recent sampling-based approaches that leverage controlled stochastic…

Machine Learning · Computer Science 2024-03-12 Dinghuai Zhang , Ricky T. Q. Chen , Cheng-Hao Liu , Aaron Courville , Yoshua Bengio

Recommender systems (RS) serve as a fundamental tool for navigating the vast expanse of online information, with deep learning advancements playing an increasingly important role in improving ranking accuracy. Among these, graph neural…

Information Retrieval · Computer Science 2025-02-18 Bin Wu , Yihang Wang , Yuanhao Zeng , Jiawei Liu , Jiashu Zhao , Cheng Yang , Yawen Li , Long Xia , Dawei Yin , Chuan Shi

Gradients of neural networks encode valuable information for optimization, editing, and analysis of models. Therefore, practitioners often treat gradients as inputs to task-specific algorithms, e.g. for pruning or optimization. Recent works…

Machine Learning · Computer Science 2025-10-14 Yoav Gelberg , Yam Eitan , Aviv Navon , Aviv Shamsian , Theo , Putterman , Michael Bronstein , Haggai Maron

Modeling the transport dynamics of natural processes from population-level observations is a ubiquitous problem in the natural sciences. Such models rely on key assumptions about the underlying process in order to enable faithful learning…

Over the several recent years, there has been a boom in development of Flow Matching (FM) methods for generative modeling. One intriguing property pursued by the community is the ability to learn flows with straight trajectories which…

Machine Learning · Statistics 2024-11-11 Nikita Kornilov , Petr Mokrov , Alexander Gasnikov , Alexander Korotin

While online Reinforcement Learning has emerged as a crucial technique for aligning flow matching models with human preferences, current approaches are hindered by inefficient exploration during training rollouts. Relying on undirected…

Machine Learning · Computer Science 2026-02-09 Ruizhe Zhong , Jiesong Lian , Xiaoyue Mi , Zixiang Zhou , Yuan Zhou , Qinglin Lu , Junchi Yan

Machine learning is essentially the sciences of playing with data. An adaptive data selection strategy, enabling to dynamically choose different data at various training stages, can reach a more effective model in a more efficient way. In…

Machine Learning · Computer Science 2017-03-01 Yang Fan , Fei Tian , Tao Qin , Jiang Bian , Tie-Yan Liu

Understanding and predicting object motion from egocentric video is fundamental to embodied perception and interaction. However, generating physically consistent 6DoF trajectories remains challenging due to occlusions, fast motion, and the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Abhishek Saroha , Huajian Zeng , Xingxing Zuo , Daniel Cremers , Xi Wang