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Graph diffusion models have recently been proposed to synthesize entire graphs, such as molecule graphs. Although existing methods have shown great performance in generating entire graphs for graph-level learning tasks, no graph diffusion…

Machine Learning · Computer Science 2025-03-18 Yancheng Wang , Changyu Liu , Yingzhen Yang

Diffusion probabilistic models (DPMs), widely recognized for their potential to generate high-quality samples, tend to go unnoticed in representation learning. While recent progress has highlighted their potential for capturing visual…

Machine Learning · Computer Science 2025-05-09 Dingshuo Chen , Shuchen Xue , Liuji Chen , Yingheng Wang , Qiang Liu , Shu Wu , Zhi-Ming Ma , Liang Wang

Diffusion models and flow-based methods have shown impressive generative capability, especially for images, but their sampling is expensive because it requires many iterative updates. We introduce W-Flow, a framework for training a…

Machine Learning · Computer Science 2026-05-28 Jiaqi Han , Puheng Li , Qiushan Guo , Renyuan Xu , Stefano Ermon , Emmanuel J. Candès

Recent years witnessed the development of powerful generative models based on flows, diffusion or autoregressive neural networks, achieving remarkable success in generating data from examples with applications in a broad range of areas. A…

Disordered Systems and Neural Networks · Physics 2024-07-22 Davide Ghio , Yatin Dandi , Florent Krzakala , Lenka Zdeborová

We consider the problem of graph generation guided by network statistics, i.e., the generation of graphs which have given values of various numerical measures that characterize networks, such as the clustering coefficient and the number of…

Social and Information Networks · Computer Science 2023-03-02 Jérôme Kunegis , Jun Sun , Eiko Yoneki

Graph generation is a fundamental problem in graph learning with broad applications across Web-scale systems, knowledge graphs, and scientific domains such as drug and material discovery. Recent approaches leverage diffusion models for…

Machine Learning · Computer Science 2026-03-18 Jiachi Zhao , Zehong Wang , Yamei Liao , Chuxu Zhang , Yanfang Ye

Flows are exact-likelihood generative neural networks that transform samples from a simple prior distribution to the samples of the probability distribution of interest. Boltzmann Generators (BG) combine flows and statistical mechanics to…

Machine Learning · Statistics 2019-10-03 Jonas Köhler , Leon Klein , Frank Noé

Graph convolutional networks (GCNs) are \emph{discriminative models} that directly model the class posterior $p(y|\mathbf{x})$ for semi-supervised classification of graph data. While being effective, as a representation learning approach,…

Machine Learning · Computer Science 2023-05-30 Tianchun Wang , Farzaneh Mirzazadeh , Xiang Zhang , Jie Chen

Denoising Diffusion Probabilistic Models (DDPMs) represent a contemporary class of generative models with exceptional qualities in both synthesis and maximizing the data likelihood. These models work by traversing a forward Markov Chain…

Machine Learning · Computer Science 2024-09-16 Hang Li , Wei Jin , Geri Skenderi , Harry Shomer , Wenzhuo Tang , Wenqi Fan , Jiliang Tang

Deep generative models that produce novel molecular structures have the potential to facilitate chemical discovery. Diffusion models currently achieve state of the art performance for 3D molecule generation. In this work, we explore the use…

Biomolecules · Quantitative Biology 2024-05-01 Ian Dunn , David Ryan Koes

While it is well-known and acknowledged that the performance of graph algorithms is heavily dependent on the input data, there has been surprisingly little research to quantify and predict the impact the graph structure has on performance.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-04 Merijn Verstraaten , Ana Lucia Varbanescu , Cees de Laat

Flow matching has emerged as a powerful framework for generative modeling, with recent empirical successes highlighting the effectiveness of signal-space prediction ($x$-prediction). In this work, we investigate the transfer of this…

Machine Learning · Computer Science 2026-05-05 Jiadong Hong , Lei Liu , Xinyu Bian , Wenjie Wang , Zhaoyang Zhang

We propose \emph{Euler Mean Flows (EMF)}, a flow-based generative framework for one-step and few-step generation that enforces long-range trajectory consistency with minimal sampling cost. The key idea of EMF is to replace the trajectory…

Machine Learning · Computer Science 2026-02-04 Zhiqi Li , Yuchen Sun , Duowen Chen , Jinjin He , Bo Zhu

Mass spectrometry (MS) stands as a cornerstone analytical technique for molecular identification, yet de novo structure elucidation from spectra remains challenging due to the combinatorial complexity of chemical space and the inherent…

Machine Learning · Computer Science 2026-03-20 Jianan Nie , Peng Gao

Accurate emulation of multi-scale physical systems governed by PDEs demands models that remain stable over long autoregressive rollouts while preserving fine-scale structures. Deterministic emulators produce overly-smoothed predictions,…

We introduce Generator Matching, a modality-agnostic framework for generative modeling using arbitrary Markov processes. Generators characterize the infinitesimal evolution of a Markov process, which we leverage for generative modeling in a…

Machine Learning · Computer Science 2025-02-28 Peter Holderrieth , Marton Havasi , Jason Yim , Neta Shaul , Itai Gat , Tommi Jaakkola , Brian Karrer , Ricky T. Q. Chen , Yaron Lipman

The adaptive processing of structured data is a long-standing research topic in machine learning that investigates how to automatically learn a mapping from a structured input to outputs of various nature. Recently, there has been an…

Machine Learning · Computer Science 2022-02-28 Federico Errica

This paper presents a novel generative model to synthesize fluid simulations from a set of reduced parameters. A convolutional neural network is trained on a collection of discrete, parameterizable fluid simulation velocity fields. Due to…

Machine Learning · Computer Science 2019-09-05 Byungsoo Kim , Vinicius C. Azevedo , Nils Thuerey , Theodore Kim , Markus Gross , Barbara Solenthaler

Flow based generative models have charted an impressive path across multiple visual generation tasks by adhering to a simple principle: learning velocity representations of a linear interpolant. However, we observe that training velocity…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Inkyu Shin , Chenglin Yang , Liang-Chieh Chen

Generating novel molecules with optimal properties is a crucial step in many industries such as drug discovery. Recently, deep generative models have shown a promising way of performing de-novo molecular design. Although graph generative…

Machine Learning · Computer Science 2018-11-27 Rim Assouel , Mohamed Ahmed , Marwin H Segler , Amir Saffari , Yoshua Bengio
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