Decentralized Asynchronous Non-convex Stochastic Optimization on Directed Graphs
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F23%3A00363763" target="_blank" >RIV/68407700:21230/23:00363763 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1109/TCNS.2023.3242043" target="_blank" >https://doi.org/10.1109/TCNS.2023.3242043</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TCNS.2023.3242043" target="_blank" >10.1109/TCNS.2023.3242043</a>
Alternative languages
Result language
angličtina
Original language name
Decentralized Asynchronous Non-convex Stochastic Optimization on Directed Graphs
Original language description
We consider a decentralized stochastic optimization problem over a network of agents, modeled as a directed graph: Agents aim to asynchronously minimize the average of their individual losses (possibly non-convex), each one having access only to a noisy estimate of the gradient of its own function. We propose an asynchronous distributed algorithm for such a class of problems. The algorithm combines stochastic gradients with tracking in an asynchronous push-sum framework and obtains a sublinear convergence rate, matching the rate of the centralized stochastic gradient descent applied to the nonconvex minimization. Our experiments on a non-convex image classification task using convolutional neural network validate the convergence of our proposed algorithm across different number of nodes and graph connectivity percentages.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/EF16_019%2F0000765" target="_blank" >EF16_019/0000765: Research Center for Informatics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IEEE Transactions on Control of Network Systems
ISSN
2325-5870
e-ISSN
2372-2533
Volume of the periodical
10
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
1796-1804
UT code for WoS article
001130821600020
EID of the result in the Scopus database
2-s2.0-85148444791