Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive estimation for Hawkes processes; application to genome analysis   The aim of this paper is to provide a new method for the detection of either
favored or avoided distances between genomic events along DNA sequences. These
events are modeled by a Hawkes process. The biological problem is actually
complex enough to need a nonasymptotic penalized model selection approach. We
provide a theoretical penalty that satisfies an oracle inequality even for
quite complex families of models. The consecutive theoretical estimator is
shown to be adaptive minimax for H\"{o}lderian functions with regularity in
$(1/2,1]$: those aspects have not yet been studied for the Hawkes' process.
Moreover, we introduce an efficient strategy, named Islands, which is not
classically used in model selection, but that happens to be particularly
relevant to the biological question we want to answer. Since a multiplicative
constant in the theoretical penalty is not computable in practice, we provide
extensive simulations to find a data-driven calibration of this constant. The
results obtained on real genomic data are coherent with biological knowledge
and eventually refine them.

12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg