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Information spreads across social and technological networks, but often the network structures are hidden from us and we only observe the traces left by the diffusion processes, called cascades. Can we recover the hidden network structures…

Social and Information Networks · Computer Science 2014-05-14 Hadi Daneshmand , Manuel Gomez-Rodriguez , Le Song , Bernhard Schoelkopf

Learning dynamical systems from sparse observations is critical in numerous fields, including biology, finance, and physics. Even if tackling such problems is standard in general information fusion, it remains challenging for contemporary…

Machine Learning · Computer Science 2024-06-04 Ella Tamir , Arno Solin

Although numerical weather forecasting methods have dominated the field, recent advances in deep learning methods, such as diffusion models, have shown promise in ensemble weather forecasting. However, such models are typically…

Machine Learning · Computer Science 2025-09-16 Kevin Valencia , Ziyang Liu , Justin Cui

A network as a substrate for dynamic processes may have its own dynamics. We propose a model for networks which evolve together with diffusing particles through a coupled dynamics, and investigate emerging structural property. The model…

Statistical Mechanics · Physics 2009-11-10 Sang-Woo Kim , Jae Dong Noh

Acquiring high-quality data for training discriminative models is a crucial yet challenging aspect of building effective predictive systems. In this paper, we present Diffusion Inversion, a simple yet effective method that leverages the…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Yongchao Zhou , Hshmat Sahak , Jimmy Ba

Graph is a prevalent discrete data structure, whose generation has wide applications such as drug discovery and circuit design. Diffusion generative models, as an emerging research focus, have been applied to graph generation tasks.…

Machine Learning · Computer Science 2024-11-05 Zhe Xu , Ruizhong Qiu , Yuzhong Chen , Huiyuan Chen , Xiran Fan , Menghai Pan , Zhichen Zeng , Mahashweta Das , Hanghang Tong

Cloth manipulation is challenging due to its highly complex dynamics, near-infinite degrees of freedom, and frequent self-occlusions, which complicate both state estimation and dynamics modeling. Inspired by recent advances in generative…

Robotics · Computer Science 2025-09-03 Tongxuan Tian , Haoyang Li , Bo Ai , Xiaodi Yuan , Zhiao Huang , Hao Su

We analyze the time reversed dynamics of generative diffusion models. If the exact empirical score function is used in a regime of large dimension and exponentially large number of samples, these models are known to undergo transitions…

Statistics Theory · Mathematics 2025-11-17 Anand Jerry George , Rodrigo Veiga , Nicolas Macris

Employing a forward diffusion chain to gradually map the data to a noise distribution, diffusion-based generative models learn how to generate the data by inferring a reverse diffusion chain. However, this approach is slow and costly…

Machine Learning · Statistics 2023-09-08 Huangjie Zheng , Pengcheng He , Weizhu Chen , Mingyuan Zhou

Research shows that gene duplication followed by either repurposing or removal of duplicated genes is an important contributor to evolution of gene and protein interaction networks. We aim to identify which characteristics of a network can…

Molecular Networks · Quantitative Biology 2021-07-27 Peter Crawford-Kahrl , Robert R. Nerem , Bree Cummins , Tomas Gedeon

Network dynamics may be viewed as a process of change in the edge structure of a network, in the vertex set on which edges are defined, or in both simultaneously. Though early studies of such processes were primarily descriptive, recent…

Methodology · Statistics 2011-03-29 Zack W. Almquist , Carter T. Butts

Adaptive networks consist of a collection of nodes with adaptation and learning abilities. The nodes interact with each other on a local level and diffuse information across the network to solve estimation and inference tasks in a…

Information Theory · Computer Science 2015-06-05 Sheng-Yuan Tu , Ali H. Sayed

We present DiffusionBERT, a new generative masked language model based on discrete diffusion models. Diffusion models and many pre-trained language models have a shared training objective, i.e., denoising, making it possible to combine the…

Computation and Language · Computer Science 2022-12-02 Zhengfu He , Tianxiang Sun , Kuanning Wang , Xuanjing Huang , Xipeng Qiu

Image synthesis approaches, e.g., generative adversarial networks, have been popular as a form of data augmentation in medical image analysis tasks. It is primarily beneficial to overcome the shortage of publicly accessible data and…

Computer Vision and Pattern Recognition · Computer Science 2023-10-05 Shiyi Du , Xiaosong Wang , Yongyi Lu , Yuyin Zhou , Shaoting Zhang , Alan Yuille , Kang Li , Zongwei Zhou

In network embedding, random walks play a fundamental role in preserving network structures. However, random walk based embedding methods have two limitations. First, random walk methods are fragile when the sampling frequency or the number…

Machine Learning · Computer Science 2018-05-14 Yong Shi , Minglong Lei , Peng Zhang , Lingfeng Niu

The full range of activity in a temporal network is captured in its edge activity data -- time series encoding the tie strengths or on-off dynamics of each edge in the network. However, in many practical applications, edge-level data are…

Social and Information Networks · Computer Science 2021-07-23 James P. Bagrow , Sune Lehmann

This paper considers generalised network, intended as networks where (a) the edges connecting the nodes are nonlinear, and (b) stochastic processes are continuously indexed over both vertices and edges. Such topological structures are…

Social and Information Networks · Computer Science 2023-09-29 Tobia Filosi , Claudio Agostinelli , Emilio Porcu

Genome-wide protein-protein interaction (PPI) data are readily available thanks to recent breakthroughs in biotechnology. However, PPI networks of extant organisms are only snapshots of the network evolution. How to infer the whole…

Populations and Evolution · Quantitative Biology 2012-03-13 Si Li , Kwok Pui Choi , Taoyang Wu , Louxin Zhang

Diffusion models have risen as a promising approach to data-driven planning, and have demonstrated impressive robotic control, reinforcement learning, and video planning performance. Given an effective planner, an important question to…

Robotics · Computer Science 2023-10-17 Siyuan Zhou , Yilun Du , Shun Zhang , Mengdi Xu , Yikang Shen , Wei Xiao , Dit-Yan Yeung , Chuang Gan

To understand biological diversification, it is important to account for large-scale processes that affect the evolutionary history of groups of co-distributed populations of organisms. Such events predict temporally clustered divergences…

Populations and Evolution · Quantitative Biology 2014-08-11 Jamie R. Oaks