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Communication of signals among nodes in a complex network poses fundamental problems of efficiency and cost. Routing of messages along shortest paths requires global information about the topology, while spreading by diffusion, which…

Neurons and Cognition · Quantitative Biology 2019-06-19 Andrea Avena-Koenigsberger , Xiaoran Yan , Artemy Kolchinsky , Martijn van den Heuvel , Patric Hagmann , Olaf Sporns

Neural Network Potentials (NNPs) have emerged as a powerful tool for modelling atomic interactions with high accuracy and computational efficiency. Recently, denoising diffusion models have shown promise in NNPs by training networks to…

Machine Learning · Computer Science 2025-04-07 Liam Harcombe , Timothy T. Duignan

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

In this paper, we consider a random network such that there could be a link between any two nodes in the network with a certain probability (plink). Diffusion is the phenomenon of spreading information throughout the network, starting from…

Social and Information Networks · Computer Science 2015-11-23 Natarajan Meghanathan

This letter presents a unified analytical framework for internodal distance distributions in 2D and 3D wireless networks, with nodes confined to concentric circular or spherical regions. Four deployment scenarios are considered, covering…

Signal Processing · Electrical Eng. & Systems 2026-03-05 Nicholas Vaiopoulos , Alexander Vavoulas , Harilaos G. Sandalidis , Konstantinos K. Delibasis , Dimitris Varoutas

Dynamical processes taking place on networks have received much attention in recent years, especially on various models of random graphs (including small world and scale free networks). They model a variety of phenomena, including the…

Probability · Mathematics 2007-05-23 Jonathan Rowe , Boris Mitavskiy

Intercellular signaling has an important role in organism development, but not all communication occurs using the same mechanism. Here, we analyze the energy efficiency of intercellular signaling by two canonical mechanisms: diffusion of…

Quantitative Methods · Quantitative Biology 2022-11-30 Hyunjoong Kim , Yoichiro Mori , Joshua B. Plotkin

This paper studies a three-node network in which an intermediate nano-transceiver, acting as a relay, is placed between a nano-transmitter and a nano-receiver to improve the range of diffusion-based molecular communication. Motivated by the…

Information Theory · Computer Science 2015-04-16 Arman Ahmadzadeh , Adam Noel , Andreas Burkovski , Robert Schober

Distributed diffusion is a powerful algorithm for multi-task state estimation which enables networked agents to interact with neighbors to process input data and diffuse information across the network. Compared to a centralized approach,…

Multiagent Systems · Computer Science 2020-03-27 Jiani Li , Xenofon Koutsoukos

The phenomenon of Forster Resonance Energy Transfer, commonly used to measure the distances between fluorophore molecules and to study interactions between fluorescent-tagged proteins in life sciences, can also be applied in…

Biological Physics · Physics 2018-02-15 Kamil Solarczyk , Krzysztof Wojcik , Pawel Kulakowski

We establish a comprehensive probability theory for coherent transport of random waves through arbitrary linear media. The transmissivity distribution for random coherent waves is a fundamental B-spline with knots at the transmission…

Optics · Physics 2025-11-07 Yunrui Wang , Cheng Guo

Autonomous robot networks are an effective tool for monitoring large-scale environmental fields. This paper proposes distributed control strategies for localizing the source of a noisy signal, which could represent a physical quantity of…

Multiagent Systems · Computer Science 2014-04-14 Nikolay A. Atanasov , Jerome Le Ny , George J. Pappas

We consider the problem of diffusing information in networks that contain malicious nodes. We assume that each normal node in the network has no knowledge of the network topology other than an upper bound on the number of malicious nodes in…

Social and Information Networks · Computer Science 2012-03-29 Haotian Zhang , Shreyas Sundaram

The achievable rate of information transfer in optical communications is determined by the physical properties of the communication channel, such as the intrinsic channel noise. Bosonic phase-noise channels, a class of non-Gaussian…

Quantum Physics · Physics 2019-08-08 M. T. DiMario , L. Kunz , K Banaszek , F. E. Becerra

In this paper, we present an analytical model for a diffusive molecular communication (MC) system with a reversible adsorption receiver in a fluid environment. The time-varying spatial distribution of the information molecules under the…

Information Theory · Computer Science 2016-04-08 Yansha Deng , Adam Noel , Maged Elkashlan , Arumugam Nallanathan , Karen C. Cheung

This paper presents a stochastic analysis of the time-variant channel impulse response (CIR) of a three dimensional diffusive mobile molecular communication (MC) system where the transmitter, the absorbing receiver, and the molecules can…

Information Theory · Computer Science 2019-08-16 Trang Ngoc Cao , Arman Ahmadzadeh , Vahid Jamali , Wayan Wicke , Phee Lep Yeoh , Jamie Evans , Robert Schober

The diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle's dimensions. The result is a nonlinear…

Mathematical Physics · Physics 2017-03-23 Maria Bruna , S. Jonathan Chapman

A molecular communication channel is determined by the received signal. Received signal models form the basis for studies focused on modulation, receiver design, capacity, and coding depend on the received signal models. Therefore, it is…

Emerging Technologies · Computer Science 2016-11-21 H. Birkan Yilmaz , Changmin Lee , Yae Jee Cho , Chan-Byoung Chae

In diffusion-based molecular communication, information particles locomote via a diffusion process, characterized by random movement and heavy tail distribution for the random arrival time. As a result, the molecular communication shows…

Emerging Technologies · Computer Science 2017-04-05 Changmin Lee , H. Birkan Yilmaz , Chan-Byoung Chae , Nariman Farsad , Andrea Goldsmith

We introduce the diffusion and superposition distances as two metrics to compare signals supported in the nodes of a network. Both metrics consider the given vectors as initial temperature distributions and diffuse heat trough the edges of…

Social and Information Networks · Computer Science 2014-12-01 Santiago Segarra , Weiyu Huang , Alejandro Ribeiro
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