Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hierarchical Exact Accelerated Stochastic Simulation Algorithm   A new algorithm, "HiER-leap", is derived which improves on the computational
properties of the ER-leap algorithm for exact accelerated simulation of
stochastic chemical kinetics. Unlike ER-leap, HiER-leap utilizes a hierarchical
or divide-and-conquer organization of reaction channels into tightly coupled
"blocks" and is thereby able to speed up systems with many reaction channels.
Like ER-leap, HiER-leap is based on the use of upper and lower bounds on the
reaction propensities to define a rejection sampling algorithm with inexpensive
early rejection and acceptance steps. But in HiER-leap, large portions of
intra-block sampling may be done in parallel. An accept/reject step is used to
synchronize across blocks. This method scales well when many reaction channels
are present and has desirable asymptotic properties. The algorithm is exact,
parallelizable and achieves a significant speedup over SSA and ER-leap on
certain problems. This algorithm offers a potentially important step towards
efficient in silico modeling of entire organisms.

12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org