# Over-The-Air Computation in Correlated Channels

@article{Frey2021OverTheAirCI, title={Over-The-Air Computation in Correlated Channels}, author={Matthias Frey and Igor Bjelakovic and Sławomir Stańczak}, journal={2020 IEEE Information Theory Workshop (ITW)}, year={2021}, pages={1-5} }

This paper addresses the problem of Over-The-Air (OTA) computation in wireless networks which has the potential to realize huge efficiency gains for instance in training of distributed ML models. We provide non-asymptotic, theoretical guarantees for OTA computation in fast-fading wireless channels where the fading and noise may be correlated. The distributions of fading and noise are not restricted to Gaussian distributions, but instead are assumed to follow a distribution in the more general…

## 6 Citations

### Private Federated Learning With Misaligned Power Allocation via Over-the-Air Computation

- Computer Science, EngineeringIEEE Communications Letters
- 2022

An optimization problem is formulated to minimize the optimality gap of MPA-DPFL while guaranteeing a certain degree of privacy protection and it is demonstrated that the MPA -DPFL is more suitable than the DPFL with aligned power allocation when the channel condition of a device in the system is lower than a threshold.

### A Semantics-Aware Communication Scheme to Estimate the Empirical Measure of A Quantity of Interest Via Multiple Access Fading Channels

- Computer Science, Business2021 IEEE Statistical Signal Processing Workshop (SSP)
- 2021

This paper considers a setting where the goal is to devise a joint sampling and communication scheme over a wireless multiple access channel that enables to compute the empirical probability measure of a quantity of interest (QoI) at the destination.

### Distributed Computation over MAC via Kolmogorov-Arnold Representation

- Computer Science, MathematicsArXiv
- 2021

Kolmogorov’s representation theorem provides a framework for decomposing any arbitrary realvalued, multivariate, and continuous function into a two-layer nested superposition of a finite number of functions, which provides modularity and universality to the design of the inner function, and subsequently, a part of computation.

### Blind Federated Edge Learning

- Business, Computer ScienceIEEE Transactions on Wireless Communications
- 2021

An analog ‘over-the-air’ aggregation scheme, in which the devices transmit their local updates in an uncoded fashion, and the proposed algorithm becomes deterministic despite the lack of perfect CSI when the PS has a sufficiently large number of antennas.

### Towards Secure Over-The-Air Computation

- Computer Science2021 IEEE International Symposium on Information Theory (ISIT)
- 2021

A friendly jammer whose signal is -- contrary to common intuition -- stronger at the legitimate receiver than it is at the eavesdropper is used to protect Over-The-Air computation schemes against passive eavesdropping.

### Multi-Slot Over-The-Air Computation in Fading Channels

- Computer ScienceArXiv
- 2020

A multi-slot over-the-air computation (MS-AirComp) method for the sum estimation in fading channels that effectively reduces the computation error meanwhile controlling transmission power, compared with state-of- the-art methods.

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