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Peter Davies

Possible papers associated with this exact author name in Arrow. This page groups case-insensitive exact name matches and is not a full identity disambiguation profile.

3 papers
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3

NeurIPS Conference 2021 Conference Paper

Asynchronous Decentralized SGD with Quantized and Local Updates

  • Giorgi Nadiradze
  • Amirmojtaba Sabour
  • Peter Davies
  • Shigang Li
  • Dan Alistarh

Decentralized optimization is emerging as a viable alternative for scalable distributed machine learning, but also introduces new challenges in terms of synchronization costs. To this end, several communication-reduction techniques, such as non-blocking communication, quantization, and local steps, have been explored in the decentralized setting. Due to the complexity of analyzing optimization in such a relaxed setting, this line of work often assumes \emph{global} communication rounds, which require additional synchronization. In this paper, we consider decentralized optimization in the simpler, but harder to analyze, \emph{asynchronous gossip} model, in which communication occurs in discrete, randomly chosen pairings among nodes. Perhaps surprisingly, we show that a variant of SGD called \emph{SwarmSGD} still converges in this setting, even if \emph{non-blocking communication}, \emph{quantization}, and \emph{local steps} are all applied \emph{in conjunction}, and even if the node data distributions and underlying graph topology are both \emph{heterogenous}. Our analysis is based on a new connection with multi-dimensional load-balancing processes. We implement this algorithm and deploy it in a super-computing environment, showing that it can outperform previous decentralized methods in terms of end-to-end training time, and that it can even rival carefully-tuned large-batch SGD for certain tasks.

NeurIPS Conference 2021 Conference Paper

Distributed Principal Component Analysis with Limited Communication

  • Foivos Alimisis
  • Peter Davies
  • Bart Vandereycken
  • Dan Alistarh

We study efficient distributed algorithms for the fundamental problem of principal component analysis and leading eigenvector computation on the sphere, when the data are randomly distributed among a set of computational nodes. We propose a new quantized variant of Riemannian gradient descent to solve this problem, and prove that the algorithm converges with high probability under a set of necessary spherical-convexity properties. We give bounds on the number of bits transmitted by the algorithm under common initialization schemes, and investigate the dependency on the problem dimension in each case.

TCS Journal 2019 Journal Article

Leader election in multi-hop radio networks

  • Artur Czumaj
  • Peter Davies

In this paper we present a framework for leader election in multi-hop radio networks which yield randomized leader elections taking O ( broadcasting time ) in expectation, and another which yields algorithms taking fixed time of the order of O ( log ⁡ n ) -times broadcasting time. Both succeed with high probability. We show how to implement these frameworks in radio networks without collision detection, and in networks with collision detection (in fact in the strictly weaker beep model). In doing so, we obtain the first optimal expected-time leader election algorithms in both settings, and also improve the worst-case running time in directed networks without collision detection by an O ( log ⁡ n ) factor.

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