mlsanityData to 7 Oct 2026

FeDXL: Provable Federated Learning for Deep X-Risk Optimization

arXiv 2210.14396 ↗First posted 26 Oct 2022cs.LG cs.DC math.OCcited by 10

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Abstract (arXiv)

In this paper, we tackle a novel federated learning (FL) problem for optimizing a family of X-risks, to which no existing FL algorithms are applicable. In particular, the objective has the form of mathbb Ez~ S1 f(mathbb Ez'~ S2 ℓ(w; z, z')), where two sets of data S1, S2 are distributed over multiple machines, ℓ(·) is a pairwise loss that only depends on the prediction outputs of the input data pairs (z, z'), and f(·) is possibly a non-linear non-convex function. This problem has important applications in machine learning, e.g., AUROC maximization with a pairwise loss, and partial AUROC maximization with a compositional loss. The challenges for designing an FL algorithm for X-risks lie in the non-decomposability of the objective over multiple machines and the interdependency between different machines. To this end, we propose an active-passive decomposition framework that decouples the gradient's components with two types, namely active parts and passive parts, where the active parts depend on local data that are computed with the local model and the passive parts depend on other machines that are communicated/computed based on historical models and samples. Under this framework, we develop two provable FL algorithms (FeDXL) for handling linear and nonlinear f, respectively, based on federated averaging and merging. We develop a novel theoretical analysis to combat the latency of the passive parts and the interdependency between the local model parameters and the involved data for computing local gradient estimators. We establish both iteration and communication complexities and show that using the historical samples and models for computing the passive parts do not degrade the complexities. We conduct empirical studies of FeDXL for deep AUROC and partial AUROC maximization, and demonstrate their performance compared with several baselines.

Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). Builds on 48 of its 71 references that are in the map. First posted on arXiv 26 Oct 2022.

Builds on

48 of 71 references.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 4; 2024: 2; 2025: 2; 2026: 2.

10 papers.