Byzantine-Robust Federated Learning with Learnable Aggregation Weights

ICLR 2026 Conference SubmissionAnonymous Authors
Federated LearningByzantine RobustnessDistributed Optimization
Abstract:

Federated Learning (FL) enables clients to collaboratively train a global model without sharing their private data. However, the presence of malicious (Byzantine) clients poses significant challenges to the robustness of FL, particularly when data distributions across clients are heterogeneous. In this paper, we propose a novel Byzantine-robust FL optimization problem that incorporates adaptive weighting into the aggregation process. Unlike conventional approaches, our formulation treats aggregation weights as learnable parameters, jointly optimizing them alongside the global model parameters. To solve this optimization problem, we develop an alternating minimization algorithm with strong convergence guarantees under adversarial attack. We analyze the Byzantine resilience of the proposed objective. We evaluate the performance of our algorithm against state-of-the-art Byzantine-robust FL approaches across various datasets and attack scenarios. Experimental results demonstrate that our method consistently outperforms existing approaches, particularly in settings with highly heterogeneous data and a large proportion of malicious clients.

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Overview

Overall Novelty Assessment

The paper proposes a Byzantine-robust federated learning framework that treats aggregation weights as learnable parameters jointly optimized with the global model. It resides in the Learnable Weight Optimization leaf, which contains only three papers including the original work. This represents a relatively sparse research direction within the broader taxonomy of fifty papers across ten major branches. The small cluster size suggests that end-to-end optimization of aggregation weights remains an emerging approach compared to more established branches like Robust Aggregation Rules and Filtering or Heuristic and Rule-Based Weighting.

The taxonomy tree reveals that Learnable Weight Optimization sits within the Adaptive Aggregation Weight Mechanisms branch, which also includes Heuristic and Rule-Based Weighting (six papers) and Trust and Reputation Mechanisms (four papers). Neighboring branches such as Robust Aggregation Rules and Filtering contain substantially more work across four sub-leaves. The scope note clarifies that learnable methods differ from heuristic approaches by optimizing weights through gradient-based procedures rather than predefined rules. This positioning indicates the paper explores a less crowded alternative to statistical filtering techniques like geometric median or trimmed mean aggregation.

Among thirty candidates examined, the first contribution—Byzantine-robust optimization with learnable weights—shows one refutable candidate out of ten examined, while the alternating minimization algorithm and theoretical analysis contributions each examined ten candidates with zero refutations. The limited refutation count for the core contribution suggests that among the top-thirty semantic matches, most prior work either addresses different aggregation paradigms or lacks the joint optimization formulation. The algorithmic and theoretical contributions appear more novel within this search scope, though the analysis does not cover exhaustive literature beyond these thirty candidates.

Based on the limited search scope of thirty semantically similar papers, the work appears to occupy a relatively underexplored niche within Byzantine-robust federated learning. The sparse population of the Learnable Weight Optimization leaf and low refutation rates suggest incremental novelty over existing adaptive weighting schemes, though the analysis cannot confirm whether broader literature outside the top-thirty matches contains overlapping formulations. The taxonomy context indicates the paper extends an emerging research direction rather than pioneering an entirely new branch.

Taxonomy

Core-task Taxonomy Papers
50
3
Claimed Contributions
30
Contribution Candidate Papers Compared
1
Refutable Paper

Research Landscape Overview

Core task: Byzantine-robust federated learning with adaptive aggregation weights. The field addresses the challenge of training global models across distributed clients while defending against malicious participants who may submit corrupted updates. The taxonomy reveals a rich landscape organized around ten major branches. Adaptive Aggregation Weight Mechanisms explore learnable or dynamic weighting schemes that adjust client contributions based on trust or performance signals, as seen in works like FedAA Reinforcement Learning[9] and Reinforcement Learning Aggregation[13]. Robust Aggregation Rules and Filtering develop statistical defenses such as median-based or distance-based filtering to identify and exclude outliers, exemplified by FLTrust[15] and Attack-Adaptive Aggregation[3]. Clustering and Grouping Strategies partition clients into cohorts to isolate Byzantine actors, while Layer-Wise and Structural Approaches apply defenses at finer granularities within model architectures. Decentralized and Blockchain-Based Approaches leverage distributed ledgers for transparency, Privacy-Preserving Byzantine-Robust Methods integrate differential privacy or secure aggregation, and Specialized Application Contexts tailor defenses to domains like industrial IoT. Fairness and Personalization branches balance robustness with heterogeneous client needs, Attack Analysis and Defense Evaluation systematically probe vulnerabilities, and Variance Reduction and Convergence Enhancement optimize training efficiency under adversarial conditions. Recent work has intensified around adaptive weighting and trust-based scoring, reflecting a shift from static filtering rules toward context-aware defenses. Learnable Aggregation Weights[0] sits within the Learnable Weight Optimization cluster, emphasizing end-to-end optimization of aggregation coefficients to dynamically respond to Byzantine behavior. This contrasts with reinforcement learning approaches like FedAA Reinforcement Learning[9], which frame weight assignment as a sequential decision problem, and with simpler heuristics in Adaptive Model Averaging[2] that rely on predefined metrics. A central trade-off across these branches is between computational overhead and robustness guarantees: learnable methods can adapt to evolving attacks but require careful tuning, while rule-based filters offer theoretical convergence bounds at the cost of flexibility. Open questions include how to balance privacy constraints with the need for rich client signals, and whether hybrid strategies combining clustering, layerwise analysis, and adaptive weighting can achieve both scalability and strong Byzantine resilience in highly heterogeneous deployments.

Claimed Contributions

Byzantine-robust FL optimization with learnable aggregation weights

The authors formulate a new optimization problem for federated learning that treats aggregation weights as decision variables rather than fixed constants. This formulation jointly optimizes both the global model parameters and the aggregation weights over a sparse unit-capped simplex, embedding Byzantine defense directly into the learning objective.

10 retrieved papers
Can Refute
Alternating minimization algorithm with convergence guarantees

The authors develop an algorithm that solves the joint optimization problem through alternating updates: first minimizing with respect to aggregation weights, then with respect to model parameters. The algorithm includes theoretical convergence guarantees that hold even in the presence of Byzantine attackers.

10 retrieved papers
Theoretical analysis of Byzantine resilience and convergence properties

The authors establish formal theoretical guarantees showing that their method is Byzantine-resilient (Theorem 2) and that the algorithm converges to a neighborhood of the optimum under adversarial conditions (Theorem 3). They also prove efficient projection onto the sparse unit-capped simplex (Theorem 1).

10 retrieved papers

Core Task Comparisons

Comparisons with papers in the same taxonomy category

Contribution Analysis

Detailed comparisons for each claimed contribution

Contribution

Byzantine-robust FL optimization with learnable aggregation weights

The authors formulate a new optimization problem for federated learning that treats aggregation weights as decision variables rather than fixed constants. This formulation jointly optimizes both the global model parameters and the aggregation weights over a sparse unit-capped simplex, embedding Byzantine defense directly into the learning objective.

Contribution

Alternating minimization algorithm with convergence guarantees

The authors develop an algorithm that solves the joint optimization problem through alternating updates: first minimizing with respect to aggregation weights, then with respect to model parameters. The algorithm includes theoretical convergence guarantees that hold even in the presence of Byzantine attackers.

Contribution

Theoretical analysis of Byzantine resilience and convergence properties

The authors establish formal theoretical guarantees showing that their method is Byzantine-resilient (Theorem 2) and that the algorithm converges to a neighborhood of the optimum under adversarial conditions (Theorem 3). They also prove efficient projection onto the sparse unit-capped simplex (Theorem 1).