Client-Conditional Federated Learning via Local Training Data Statistics

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1. Verfasser: Brännvall, Rickard
Format: Preprint
Veröffentlicht: 2026
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author Brännvall, Rickard
author_facet Brännvall, Rickard
contents Federated learning (FL) under data heterogeneity remains challenging: existing methods either ignore client differences (FedAvg), require costly cluster discovery (IFCA), or maintain per-client models (Ditto). All degrade when data is sparse or heterogeneity is multi-dimensional. We propose conditioning a single global model on locally-computed PCA statistics of each client's training data, requiring zero additional communication. Evaluating across 97~configurations spanning four heterogeneity types (label shift, covariate shift, concept shift, and combined heterogeneity), four datasets (MNIST, Fashion-MNIST, CIFAR-10, CIFAR-100), and seven FL baseline methods, we find that our method matches the Oracle baseline -- which knows true cluster assignments -- across all settings, surpasses it by 1--6% on combined heterogeneity where continuous statistics are richer than discrete cluster identifiers, and is uniquely sparsity-robust among all tested methods.
format Preprint
id arxiv_https___arxiv_org_abs_2603_11307
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Client-Conditional Federated Learning via Local Training Data Statistics
Brännvall, Rickard
Machine Learning
68T05, 68W15
I.2.6; I.2.11
Federated learning (FL) under data heterogeneity remains challenging: existing methods either ignore client differences (FedAvg), require costly cluster discovery (IFCA), or maintain per-client models (Ditto). All degrade when data is sparse or heterogeneity is multi-dimensional. We propose conditioning a single global model on locally-computed PCA statistics of each client's training data, requiring zero additional communication. Evaluating across 97~configurations spanning four heterogeneity types (label shift, covariate shift, concept shift, and combined heterogeneity), four datasets (MNIST, Fashion-MNIST, CIFAR-10, CIFAR-100), and seven FL baseline methods, we find that our method matches the Oracle baseline -- which knows true cluster assignments -- across all settings, surpasses it by 1--6% on combined heterogeneity where continuous statistics are richer than discrete cluster identifiers, and is uniquely sparsity-robust among all tested methods.
title Client-Conditional Federated Learning via Local Training Data Statistics
topic Machine Learning
68T05, 68W15
I.2.6; I.2.11
url https://arxiv.org/abs/2603.11307