Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional Epsilon Entropy   We consider the problem of coding for computing with maximal distortion,
where the sender communicates with a receiver, which has its own private data
and wants to compute a function of their combined data with some fidelity
constraint known to both agents. We show that the minimum rate for this problem
is equal to the conditional entropy of a hypergraph and design practical codes
for the problem. Further, the minimum rate of this problem may be a
discontinuous function of the fidelity constraint. We also consider the case
when the exact function is not known to the sender, but some approximate
function or a class to which the function belongs is known and provide
efficient achievable schemes.

21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int