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Event-Driven Online Vertical Federated Learning
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Proposes an event-driven online vertical federated learning framework where only event-triggered clients are activated per round, combined with dynamic local regret for non-convex models in non-stationary streams, with an O(T^{3/4}) regret bound and experiments on i-MNIST.
Problem
Online vertical federated learning assumes all clients receive synchronous feature streams, which is unrealistic; real data arrive via events involving only a subset of clients, and non-convex models in non-stationary streams are not handled by existing online VFL.
Approach
Activate only event-relevant clients each round (others passively contribute embeddings), and adapt dynamic local regret (exponentially time-smoothed sliding-window gradient with buffers) to VFL, with a non-convex regret analysis under random client activation probabilities.
Key results
- Under non-stationary streams, DLR-Random achieves accumulated error 0.0561 vs OGD-Random 0.0788 and SLR-Random 0.1159, with communication ~1465 MB vs SLR ~58589 MB.
- DLR-Event reduces client communication to 1413.52 MB and computation to 2698.96 s versus DLR-Full's 1953.12 MB and 4558.20 s, at accumulated error 0.0681 versus 0.0553.
- Theory gives a non-convex dynamic local regret bound of O(T^{3/4}) with l = T^{1/2} and eta = T^{-1/4}.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use DLR with event-driven rather than full activation | Online VFL on i-MNIST stationary · i-MNIST stationary | Client Comp. (s): 4565.42 -> 2992.73 | Helped |
| use DLR with event-driven rather than full activation | Online VFL on i-MNIST stationary · i-MNIST stationary | Accum. Error Rate: 0.0618 -> 0.0718 | Hurt |
| use DLR-Event instead of OGD-Event under non-stationary data | Online VFL · i-MNIST non-stationary | Accum. Error Rate: 0.1191 -> 0.0681 | Helped |
| lower activation probability in DLR-Random (ablation) | DLR-Random on i-MNIST non-stationary · i-MNIST non-stationary | Accum. Error Rate: 0.0553 -> 0.0622 | Hurt |
| lower activation probability in DLR-Random (ablation) | DLR-Random on i-MNIST non-stationary · i-MNIST non-stationary | Client Comp. (s): 4558.20 -> 1903.91 | Helped |
| increase activation threshold Γ in DLR-Event (ablation) | DLR-Event on i-MNIST non-stationary · i-MNIST non-stationary | Accum. Error Rate: 0.0595 -> 0.1057 | Hurt |
| increase activation threshold Γ in DLR-Event (ablation) | DLR-Event on i-MNIST non-stationary · i-MNIST non-stationary | Client Comp. (s): 3752.07 -> 928.67 | Helped |
Surprising findings
- Under stationary streams, OGD-Event's accumulated error rose from 0.0575 (Full) to 0.1027 with partial activation, while DLR remained near 0.06.
- SLR required communicating its entire buffer each round, giving communication roughly an order of magnitude higher than DLR and OGD.
Limitations
- Passive clients still must participate each round to supply embeddings (incomplete view problem), so communication is not fully eliminated.
- Experiments are limited to a single i-MNIST setup with four clients and small MLPs; the non-stationary stream is synthetic.
- Regret analysis relies on bounded gradient and bounded loss assumptions that are strong for non-convex models.
Experimental setup
Datasets: Infinite MNIST (i-MNIST)
Benchmarks: i-MNIST
Metrics: run-time (prequential) error rate accumulated error rate client computation time communication cost (MB)
Baselines: OGD-Full OGD-Random OGD-Event SLR-Full SLR-Random SLR-Event DLR-Full
Builds on: dynamic local regret online gradient descent static local regret
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