Accelerated Methods with Complexity Separation Under Data Similarity for Federated Learning Problems

Fuente: arXiv
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Hauptverfasser: Bylinkin, Dmitry, Skorik, Sergey, Bystrov, Dmitriy, Berezin, Leonid, Avetisyan, Aram, Beznosikov, Aleksandr
Format: Preprint
Veröffentlicht: 2026
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author Bylinkin, Dmitry
Skorik, Sergey
Bystrov, Dmitriy
Berezin, Leonid
Avetisyan, Aram
Beznosikov, Aleksandr
author_facet Bylinkin, Dmitry
Skorik, Sergey
Bystrov, Dmitriy
Berezin, Leonid
Avetisyan, Aram
Beznosikov, Aleksandr
contents Heterogeneity within data distribution poses a challenge in many modern federated learning tasks. We formalize it as an optimization problem involving a computationally heavy composite under data similarity. By employing different sets of assumptions, we present several approaches to develop communication-efficient methods. An optimal algorithm is proposed for the convex case. The constructed theory is validated through a series of experiments across various problems.
format Preprint
id arxiv_https___arxiv_org_abs_2601_08614
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Accelerated Methods with Complexity Separation Under Data Similarity for Federated Learning Problems
Bylinkin, Dmitry
Skorik, Sergey
Bystrov, Dmitriy
Berezin, Leonid
Avetisyan, Aram
Beznosikov, Aleksandr
Optimization and Control
Machine Learning
Heterogeneity within data distribution poses a challenge in many modern federated learning tasks. We formalize it as an optimization problem involving a computationally heavy composite under data similarity. By employing different sets of assumptions, we present several approaches to develop communication-efficient methods. An optimal algorithm is proposed for the convex case. The constructed theory is validated through a series of experiments across various problems.
title Accelerated Methods with Complexity Separation Under Data Similarity for Federated Learning Problems
topic Optimization and Control
Machine Learning
url https://arxiv.org/abs/2601.08614