Multitask learning has received considerable attention in signal processing and machine learning communities. It aims at simultaneously learning several related tasks other than the traditional single-task problems. There also have witnessed a wide spectrum of data processing problems that are network- or graph-structured and require adaptation...
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July 15, 2020 (v1)PublicationUploaded on: December 4, 2022
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September 2, 2019 (v1)Conference paper
Modern data analysis and processing tasks usually involve large sets of data structured by a graph. Typical examples include brain activity supported by neurons, data shared by users of social media, and traffic on transportation or energy networks. There are often settings where the graph is not readily available, and has to be estimated from...
Uploaded on: December 3, 2022 -
August 26, 2019 (v1)Conference paper
National audience
Uploaded on: December 3, 2022 -
September 3, 2018 (v1)Conference paper
Graph filters, defined as polynomial functions of a graph-shift operator (GSO), play a key role in signal processing over graphs. In this work, we are interested in the adaptive and distributed estimation of graph filter coefficients from streaming graph signals. To this end, diffusion LMS strategies can be employed. However, most popular GSOs...
Uploaded on: December 3, 2022 -
January 6, 2020 (v1)Journal article
In this work, we are interested in adaptive and distributed estimation of graph filters from streaming data. We formulate this problem as a consensus estimation problem over graphs, which can be addressed with diffusion LMS strategies. Most popular graph-shift operators such as those based on the graph Laplacian matrix, or the adjacency matrix,...
Uploaded on: December 4, 2022 -
2020 (v1)Journal article
We study the problem of distributed estimation over adaptive networks where communication delays exist between nodes. In particular, we investigate the diffusion Least-Mean-Square (LMS) strategy where delayed intermediate estimates (due to the communication channels) are employed during the combination step. One important question is: Do the...
Uploaded on: December 4, 2022 -
October 28, 2018 (v1)Conference paper
In this work, we consider the problem of estimating the coefficients of linear shift-invariant FIR graph filters. We assume hybrid node-varying graph filters where the network is decomposed into clusters of nodes and within each cluster all nodes have the same filter coefficients to estimate. We assume that there is no prior information on the...
Uploaded on: December 3, 2022 -
October 29, 2017 (v1)Conference paper
Multitask distributed optimization over networks enables the agents to cooperate locally to estimate multiple related parameter vectors. In this work, we consider multitask estimation problems over mean-square-error (MSE) networks where each agent is interested in estimating its own parameter vector, also called task, and where the tasks are...
Uploaded on: December 3, 2022 -
December 2019 (v1)Journal article
We study the problem of parametric modeling of network-structured signals with graph filters. To benefit from the properties of several graph shift operators simultaneously, and to enhance interpretability, we investigate combinations of parallel graph filters with different shift operators. Due to their extra degrees of freedom, these models...
Uploaded on: December 4, 2022