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Diffusion models have demonstrated appealing performance in both image and video generation. However, many works discover that they struggle to capture important, high-level relationships that are present in the real world. For example,…

Machine Learning · Computer Science 2025-05-01 Xunpeng Huang , Yujin Han , Difan Zou , Yian Ma , Tong Zhang

The diffusion of information and behaviors over social networks is of considerable interest in research fields ranging from sociology to computer science and application domains such as marketing, finance, human health, and national…

Adaptation and Self-Organizing Systems · Physics 2009-12-31 Richard Colbaugh , Kristin Glass

Diffusion processes in a social system are governed by external triggers and internal excitations via interactions between individuals over social networks. Underlying mechanisms are crucial to understand emergent phenomena in the real…

Social and Information Networks · Computer Science 2017-11-20 Minkyoung Kim , Raja Jurdak , Dean Paini

Classical causal and statistical inference methods typically assume the observed data consists of independent realizations. However, in many applications this assumption is inappropriate due to a network of dependences between units in the…

Machine Learning · Computer Science 2019-07-02 Rohit Bhattacharya , Daniel Malinsky , Ilya Shpitser

Road user trajectory prediction in dynamic environments is a challenging but crucial task for various applications, such as autonomous driving. One of the main challenges in this domain is the multimodal nature of future trajectories…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Younwoo Choi , Ray Coden Mercurius , Soheil Mohamad Alizadeh Shabestary , Amir Rasouli

We consider the problem of answering observational, interventional, and counterfactual queries in a causally sufficient setting where only observational data and the causal graph are available. Utilizing the recent developments in diffusion…

Machine Learning · Statistics 2024-10-11 Patrick Chao , Patrick Blöbaum , Sapan Patel , Shiva Prasad Kasiviswanathan

Density-dependent diffusion is a widespread phenomenon in nature. We have examined the density-dependent diffusion behavior of some biological processes such as tumor growth and invasion [23]. Here, we extend our previous work by developing…

Statistical Mechanics · Physics 2022-02-14 Ahmed M. Fouad , Marwa M. Fouad

Simulation of autonomous vehicle systems requires that simulated traffic participants exhibit diverse and realistic behaviors. The use of prerecorded real-world traffic scenarios in simulation ensures realism but the rarity of safety…

We study the problem of cooperative inference where a group of agents interact over a network and seek to estimate a joint parameter that best explains a set of observations. Agents do not know the network topology or the observations of…

Optimization and Control · Mathematics 2017-04-11 Angelia Nedić , Alex Olshevsky , César A. Uribe

Turing theory of pattern formation is among the most popular theoretical means to account for the variety of spatio-temporal structures observed in Nature and, for this reason, finds applications in many different fields. While Turing…

Pattern Formation and Solitons · Physics 2025-10-22 Riccardo Muolo , Luca Gallo , Vito Latora , Mattia Frasca , Timoteo Carletti

Diffusion models gain increasing popularity for their generative capabilities. Recently, there have been surging needs to generate customized images by inverting diffusion models from exemplar images, and existing inversion methods mainly…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Ziqi Huang , Tianxing Wu , Yuming Jiang , Kelvin C. K. Chan , Ziwei Liu

Many complex natural and cultural phenomena are well modelled by systems of simple interactions between particles. A number of architectures have been developed to articulate this kind of structure, both implicitly and explicitly. We…

Machine Learning · Computer Science 2019-05-22 Ezra Webb , Ben Day , Helena Andres-Terre , Pietro Lió

Inference-time controllable generation is essential for real-world applications of unconditional diffusion models. However, most existing techniques focus on individual samples, struggling in applications that require the sample population…

Machine Learning · Computer Science 2026-05-11 Hao Luan , See-Kiong Ng , Chun Kai Ling

In an era characterized by advancements in artificial intelligence and robotics, enabling machines to interact with and understand their environment is a critical research endeavor. In this paper, we propose Answerability Fields, a novel…

Computer Vision and Pattern Recognition · Computer Science 2024-07-29 Daichi Azuma , Taiki Miyanishi , Shuhei Kurita , Koya Sakamoto , Motoaki Kawanabe

From pedestrians to Kuramoto oscillators, interactions between agents govern how dynamical systems evolve in space and time. Discovering how these agents relate to each other has the potential to improve our understanding of the often…

Machine Learning · Computer Science 2025-03-12 Yulong Yang , Bowen Feng , Keqin Wang , Naomi Ehrich Leonard , Adji Bousso Dieng , Christine Allen-Blanchette

Diffusion models have recently emerged as powerful tools for missing data imputation by modeling the joint distribution of observed and unobserved variables. However, existing methods, typically based on stochastic denoising diffusion…

Artificial Intelligence · Computer Science 2025-08-06 Youran Zhou , Mohamed Reda Bouadjenek , Sunil Aryal

Cognitive processes undergo various fluctuations and transient states across different temporal scales. Superstatistics are emerging as a flexible framework for incorporating such non-stationary dynamics into existing cognitive model…

Neurons and Cognition · Quantitative Biology 2024-10-02 Lukas Schumacher , Martin Schnuerch , Andreas Voss , Stefan T. Radev

We apply diffusion strategies to develop a fully-distributed cooperative reinforcement learning algorithm in which agents in a network communicate only with their immediate neighbors to improve predictions about their environment. The…

Multiagent Systems · Computer Science 2014-11-06 Sergio Valcarcel Macua , Jianshu Chen , Santiago Zazo , Ali H. Sayed

Several data-driven approaches based on information theory have been proposed for analyzing high-order interactions involving three or more components of a network system. Most of these methods are defined only in the time domain and rely…

Applications · Statistics 2025-03-18 Yuri Antonacci , Chiara Bara' , Laura Sparacino , Gorana Mijatovic , Ludovico Minati , Luca Faes

Networked dynamical systems are common throughout science in engineering; e.g., biological networks, reaction networks, power systems, and the like. For many such systems, nonlinearity drives populations of identical (or near-identical)…

Dynamical Systems · Mathematics 2023-02-10 James Koch , Zhao Chen , Aaron Tuor , Jan Drgona , Draguna Vrabie