mlsanityData to 7 Oct 2026

How global observation works in Federated Learning: Integrating vertical training into Horizontal Federated Learning

arXiv 2112.01039 ↗First posted 2 Dec 2021cs.LG cs.AI cs.DCcited by 6

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Abstract (arXiv)

Federated learning (FL) has recently emerged as a transformative paradigm that jointly train a model with distributed data sets in IoT while avoiding the need for central data collection. Due to the limited observation range, such data sets can only reflect local information, which limits the quality of trained models. In practice, the global information and local observations would require a joint consideration for learning to make a reasonable policy. However, in horizontal FL, the central agency only acts as a model aggregator without utilizing its global observation to further improve the model. This could significantly degrade the performance in some missions such as traffic flow prediction in network systems, where the global information may enhance the accuracy. Meanwhile, the global feature may not be directly transmitted to agents for data security. How to utilize the global observation residing in the central agency while protecting its safety thus rises up as an important problem in FL. In this paper, we develop a vertical-horizontal federated learning (VHFL) process, where the global feature is shared with the agents in a procedure similar to that of vertical FL without any extra communication rounds. By considering the delay and packet loss, we will analyze VHFL convergence and validate its performance by experiments. It is shown that the proposed VHFL could enhance the accuracy compared with horizontal FL while still protecting the security of global data.

Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Builds on 17 of its 25 references that are in the map. First posted on arXiv 2 Dec 2021.

Builds on

17 of 25 references.

References · 17

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  2. 2018Federated Optimization in Heterogeneous Networkscited by 2,971
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5 more
  1. 2021Federated Reconstruction: Partially Local Federated Learningcited by 78
  2. 2016Mean Absolute Percentage Error for regression modelscited by 58
  3. 2021Convergence Analysis and System Design for Federated Learning over Wireless Networkscited by 25
  4. 2021Communication-Efficient Federated Learning with Binary Neural Networkscited by 13
  5. 2021Delay Analysis of Wireless Federated Learning Based on Saddle Point Approximation and Large Deviation Theorycited by 9

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 2; 2023: 3; 2024: 0; 2025: 0; 2026: 1.

6 papers.