2020
DOI: 10.1109/tit.2020.3028440
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Inference Under Information Constraints I: Lower Bounds From Chi-Square Contraction

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Cited by 63 publications
(187 citation statements)
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“…Total population size 6 -10 10 devices Devices selected for one round of training 50 -5000 Total devices that participate in training one model 10 5 -10 7 Number of rounds for model convergence 500 -10000 Wall-clock training time 1 -10 days Table 2: Order-of-magnitude sizes for typical cross-device federated learning applications.…”
Section: Simulation Prototyping (Optional)mentioning
confidence: 99%
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“…Total population size 6 -10 10 devices Devices selected for one round of training 50 -5000 Total devices that participate in training one model 10 5 -10 7 Number of rounds for model convergence 500 -10000 Wall-clock training time 1 -10 days Table 2: Order-of-magnitude sizes for typical cross-device federated learning applications.…”
Section: Simulation Prototyping (Optional)mentioning
confidence: 99%
“…However, it remains unclear if communication cost can be further reduced, and whether any of these methods or their combinations can come close to providing optimal trade-offs between communication and accuracy in federated learning. Characterizing such fundamental trade-offs between accuracy and communication has been of recent interest in theoretical statistics [507,89,221,7,49,444,50]. These works characterize the optimal minimax rates for distributed statistical estimation and learning under communication constraints.…”
Section: Communication and Compressionmentioning
confidence: 99%
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“…Identical and closely related models are often studied in the context of distributed statistical estimation with communication constraints (e.g. (Luo, 2005;Rajagopal et al, 2006;Ribeiro and Giannakis, 2006;Zhang et al, 2013;Steinhardt and Duchi, 2015;Suresh et al, 2017;Acharya et al, 2020aAcharya et al, , 2019bAcharya et al, ,a, 2020b). As in the setting of LDP, the number of rounds of interaction that the server uses to solve a learning problem is a critical resource.…”
Section: Introductionmentioning
confidence: 99%