Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal quantizer structure for binary discrete input continuous output
  channels under an arbitrary quantized-output constraint   Given a channel having binary input X = (x_1, x_2) having the probability
distribution p_X = (p_{x_1}, p_{x_2}) that is corrupted by a continuous noise
to produce a continuous output y \in Y = R. For a given conditional
distribution p(y|x_1) = \phi_1(y) and p(y|x_2) = \phi_2(y), one wants to
quantize the continuous output y back to the final discrete output Z = (z_1,
z_2, ..., z_N) with N \leq 2 such that the mutual information between input and
quantized-output I(X; Z) is maximized while the probability of the
quantized-output p_Z = (p_{z_1}, p_{z_2}, ..., p_{z_N}) has to satisfy a
certain constraint. Consider a new variable r_y=p_{x_1}\phi_1(y)/
(p_{x_1}\phi_1(y)+p_{x_2}\phi_2(y)), we show that the optimal quantizer has a
structure of convex cells in the new variable r_y. Based on the convex cells
property of the optimal quantizers, a fast algorithm is proposed to find the
global optimal quantizer in a polynomial time complexity.

35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex