2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2014
DOI: 10.1109/icassp.2014.6854652
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Diffusion LMS for clustered multitask networks

Abstract: Recent research works on distributed adaptive networks have intensively studied the case where the nodes estimate a common parameter vector collaboratively. However, there are many applications that are multitask-oriented in the sense that there are multiple parameter vectors that need to be inferred simultaneously. In this paper, we employ diffusion strategies to develop distributed algorithms that address clustered multitask problems by minimizing an appropriate mean-square error criterion with`2-regularizat… Show more

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Cited by 27 publications
(24 citation statements)
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References 22 publications
(48 reference statements)
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“…1 we now show that even though the WSN consists of a fully connected topology and several tree topologies (here assumed to be stars), the DANSE algorithm is still able to converge to the same solution, at each node, as if each node had access to all of the sensor signal observations in the entire WSN. Even though convergence and optimality of the DANSE algorithm in a fully connected 4 It is noted that the nodes share many sensor signal observations in between two iterations of the DANSE algorithm, such that sufficiently accurate covariance matrix estimates can be computed to solve (16). Furthermore, G i nq only changes whenever node n effectively performs an update of its node-specific parameters.…”
Section: Convergence and Optimalitymentioning
confidence: 98%
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“…1 we now show that even though the WSN consists of a fully connected topology and several tree topologies (here assumed to be stars), the DANSE algorithm is still able to converge to the same solution, at each node, as if each node had access to all of the sensor signal observations in the entire WSN. Even though convergence and optimality of the DANSE algorithm in a fully connected 4 It is noted that the nodes share many sensor signal observations in between two iterations of the DANSE algorithm, such that sufficiently accurate covariance matrix estimates can be computed to solve (16). Furthermore, G i nq only changes whenever node n effectively performs an update of its node-specific parameters.…”
Section: Convergence and Optimalitymentioning
confidence: 98%
“…From [3], it is known that the signal estimated n , for every node n in the cluster, will then converge to the same LMMSE solution as if it had access to all sensor signal observations within the cluster. This convergence of the cluster can be thought of as a single DANSE update in the fully connected network that is composed of the CHs, i.e., it is as if the CH of cluster k has solved (16), where the MNs of cluster k are viewed as virtual sensors of the CH. After this first cluster has converged, the same process happens in the next cluster where again the T-DANSE algorithm is run until convergence and this is repeated for all K clusters in the network.…”
Section: Convergence and Optimalitymentioning
confidence: 99%
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“…A similar case of disturbance was analyzed by [39]. More recent advances were investigated in [40] [41] [42].…”
Section: Introductionmentioning
confidence: 99%
“…To improve the robustness of diffusion networks in the presence of disturbances, adaptive combiners are added to the networks as in [31]. A similar case of disturbance was analyzed by [32] Cattivelli et al More recent advances are investigated in [33][34][35]. Lately, [36] and [37] investigated the time-varying formation control of aerial vehicles.…”
Section: Introductionmentioning
confidence: 99%