Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Learning to Cache and Caching to Learn: Regret Analysis of Caching
  Algorithms   Crucial performance metrics of a caching algorithm include its ability to
quickly and accurately learn a popularity distribution of requests. However, a
majority of work on analytical performance analysis focuses on hit probability
after an asymptotically large time has elapsed. We consider an online learning
viewpoint, and characterize the "regret" in terms of the finite time difference
between the hits achieved by a candidate caching algorithm with respect to a
genie-aided scheme that places the most popular items in the cache. We first
consider the Full Observation regime wherein all requests are seen by the
cache. We show that the Least Frequently Used (LFU) algorithm is able to
achieve order optimal regret, which is matched by an efficient counting
algorithm design that we call LFU-Lite. We then consider the Partial
Observation regime wherein only requests for items currently cached are seen by
the cache, making it similar to an online learning problem related to the
multi-armed bandit problem. We show how approaching this "caching bandit" using
traditional approaches yields either high complexity or regret, but a simple
algorithm design that exploits the structure of the distribution can ensure
order optimal regret. We conclude by illustrating our insights using numerical
simulations.

24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph