Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cost vs. Information Tradeoffs for Treasure Hunt in the Plane   A mobile agent has to find an inert treasure hidden in the plane. Both the
agent and the treasure are modeled as points. This is a variant of the task
known as treasure hunt. The treasure is at a distance at most $D$ from the
initial position of the agent, and the agent finds the treasure when it gets at
distance $r$ from it, called the {\em vision radius}. However, the agent does
not know the location of the treasure and does not know the parameters $D$ and
$r$. The cost of finding the treasure is the length of the trajectory of the
agent. We investigate the tradeoffs between the amount of information held {\em
a priori} by the agent and the cost of treasure hunt. Following the
well-established paradigm of {\em algorithms with advice}, this information is
given to the agent in advance as a binary string, by an oracle cooperating with
the agent and knowing the location of the treasure and the initial position of
the agent. The size of advice given to the agent is the length of this binary
string.
  For any size $z$ of advice and any $D$ and $r$, let $OPT(z,D,r)$ be the
optimal cost of finding the treasure for parameters $z$, $D$ and $r$, if the
agent has only an advice string of length $z$ as input. We design treasure hunt
algorithms working with advice of size $z$ at cost $O(OPT(z,D,r))$ whenever
$r\leq 1$ or $r\geq 0.9D$. For intermediate values of $r$, i.e., $1<r<0.9D$, we
design an almost optimal scheme of algorithms: for any constant $\alpha>0$, the
treasure can be found at cost $O(OPT(z,D,r)^{1+\alpha})$.

33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th