Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collaborative Learning in General Graphs with Limited Memorization:
  Learnability, Complexity and Reliability   We consider K-armed bandit problem in general graphs where agents are
arbitrarily connected and each of them has limited memorization and
communication bandwidth. The goal is to let each of the agents learn the best
arm. Although recent studies show the power of collaboration among the agents
in improving the efficacy of learning, it is assumed in these studies that the
communication graphs should be complete or well-structured, whereas such an
assumption is not always valid in practice. Furthermore, limited memorization
and communication bandwidth also restrict the collaborations of the agents,
since very few knowledge can be drawn by each agent from its experiences or the
ones shared by its peers in this case. Additionally, the agents may be
corrupted to share falsified experience, while the resource limit may
considerably restrict the reliability of the learning process. To address the
above issues, we propose a three-staged collaborative learning algorithm. In
each step, the agents share their experience with each other through
light-weight random walks in the general graphs, and then make decisions on
which arms to pull according to the randomly memorized suggestions. The agents
finally update their adoptions (i.e., preferences to the arms) based on the
reward feedback of the arm pulling. Our theoretical analysis shows that, by
exploiting the limited memorization and communication resources, all the agents
eventually learn the best arm with high probability. We also reveal in our
theoretical analysis the upper-bound on the number of corrupted agents our
algorithm can tolerate. The efficacy of our proposed three-staged collaborative
learning algorithm is finally verified by extensive experiments on both
synthetic and real datasets.

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The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: math
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph