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In a convergence of machine learning and biology, we reveal that diffusion models are evolutionary algorithms. By considering evolution as a denoising process and reversed evolution as diffusion, we mathematically demonstrate that diffusion…

Neural and Evolutionary Computing · Computer Science 2026-05-12 Yanbo Zhang , Benedikt Hartl , Hananel Hazan , Michael Levin

Transfer Learning aims to optimally aggregate samples from a target distribution, with related samples from a so-called source distribution to improve target risk. Multiple procedures have been proposed over the last two decades to address…

Machine Learning · Statistics 2025-04-29 Steve Hanneke , Samory Kpotufe

In this paper, the dynamic constrained optimization problem of weights adaptation for heterogeneous epidemic spreading networks is investigated. Due to the powerful ability of searching global optimum, evolutionary algorithms are employed…

Neural and Evolutionary Computing · Computer Science 2024-12-20 Yun Feng , Bing-Chuan Wang

The paper considers the problem of distributed adaptive linear parameter estimation in multi-agent inference networks. Local sensing model information is only partially available at the agents and inter-agent communication is assumed to be…

Optimization and Control · Mathematics 2012-08-07 Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

Network structure plays a critical role in functionality and performance of network systems. This paper examines structural adaptivity of diffusively coupled, directed multi-agent networks that are subject to diffusion performance. Inspired…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Lulu Pan , Haibin Shao , Mehran Mesbahi , Dewei Li , Yugeng Xi

Distributed learning paradigms, such as federated and decentralized learning, allow for the coordination of models across a collection of agents, and without the need to exchange raw data. Instead, agents compute model updates locally based…

Machine Learning · Computer Science 2022-04-04 Stefan Vlaski , Christian Schroth , Michael Muma , Abdelhak M. Zoubir

This paper addresses the distributed consensus protocol design problem for linear multi-agent systems with directed graphs and external unmatched disturbances. A novel distributed adaptive consensus protocol is proposed to achieve…

Systems and Control · Computer Science 2015-11-05 Yuezu Lv , Zhongkui Li , Zhisheng Duan , Gang Feng

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

Diffusion and propagation of information, influence and diseases take place over increasingly larger networks. We observe when a node copies information, makes a decision or becomes infected but networks are often hidden or unobserved.…

Social and Information Networks · Computer Science 2012-05-09 Manuel Gomez Rodriguez , Bernhard Schölkopf

A method is developed within an adaptive framework to solve quasilinear diffusion problems with internal and possibly boundary layers starting from a coarse mesh. The solution process is assumed to start on a mesh where the problem is badly…

Numerical Analysis · Mathematics 2016-02-16 Sara Pollock

This paper studies the convergence conditions and properties of the distributed adaptive signal fusion (DASF) algorithm, the framework itself having been introduced in a `Part I' companion paper. The DASF algorithm can be used to solve…

Signal Processing · Electrical Eng. & Systems 2023-05-12 Cem Ates Musluoglu , Charles Hovine , Alexander Bertrand

Batched network coding is a low-complexity network coding solution to feedbackless multi-hop wireless packet network transmission with packet loss. The data to be transmitted is encoded into batches where each of which consists of a few…

Information Theory · Computer Science 2022-05-10 Jie Wang , Zhiyuan Jia , Hoover H. F. Yin , Shenghao Yang

In distributed wireless networks, nodes often do not know the topology (network size, connectivity and the channel gains) of the network. Thus, they have to compute their transmission and reception parameters in a distributed fashion. In…

Information Theory · Computer Science 2009-10-21 Vaneet Aggarwal , Salman Avestimehr , Ashutosh Sabharwal

Generative diffusion models, famous for their performance in image generation, are popular in various cross-domain applications. However, their use in the communication community has been mostly limited to auxiliary tasks like data modeling…

Networking and Internet Architecture · Computer Science 2025-03-11 Ruihuai Liang , Bo Yang , Zhiwen Yu , Bin Guo , Xuelin Cao , Mérouane Debbah , H. Vincent Poor , Chau Yuen

Distributed learning offers a practical solution for the integrative analysis of multi-source datasets, especially under privacy or communication constraints. However, addressing prospective distributional heterogeneity and ensuring…

Methodology · Statistics 2025-11-27 Yinrui Sun , Yin Xia

This paper studies a distributed state estimation problem for both continuous- and discrete-time linear systems. A simply structured distributed estimator (comprising interconnected local estimators) is first described for estimating the…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Lili Wang , Ji Liu , Brian B. O. Anderson , A. Stephen Morse

In this paper, we propose a novel distributed algorithm for consensus optimization over networks and a robust extension tailored to deal with asynchronous agents and packet losses. Indeed, to robustly achieve dynamic consensus on the…

Optimization and Control · Mathematics 2025-09-04 Guido Carnevale , Nicola Bastianello , Giuseppe Notarstefano , Ruggero Carli

This paper presents a neural network--enhanced surrogate modeling approach for diffusion problems with spatially varying random field coefficients. The method builds on numerical homogenization, which compresses fine-scale coefficients into…

Numerical Analysis · Mathematics 2025-09-17 Fabian Kröpfl , Daniel Peterseim , Elisabeth Ullmann

A distributed data collection algorithm to accurately store and forward information obtained by wireless sensor networks is proposed. The proposed algorithm does not depend on the sensor network topology, routing tables, or geographic…

Networking and Internet Architecture · Computer Science 2010-11-15 Salah A. Aly , Ahmed Ali-Eldin , H. Vincent Poor

We consider the problem of solving a large-scale system of linear equations in a distributed or federated manner by a taskmaster and a set of machines, each possessing a subset of the equations. We provide a comprehensive comparison of two…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-24 Boris Velasevic , Rohit Parasnis , Christopher G. Brinton , Navid Azizan