Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linking Across Data Granularity: Fitting Multivariate Hawkes Processes
  to Partially Interval-Censored Data   This work introduces a novel multivariate temporal point process, the Partial
Mean Behavior Poisson (PMBP) process, which can be leveraged to fit the
multivariate Hawkes process to partially interval-censored data consisting of a
mix of event timestamps on a subset of dimensions and interval-censored event
counts on the complementary dimensions. First, we define the PMBP process via
its conditional intensity and derive the regularity conditions for
subcriticality. We show that both the Hawkes process and the MBP process
(Rizoiu et al. (2021)) are special cases of the PMBP process. Second, we
provide numerical schemes that enable calculating the conditional intensity and
sampling event histories of the PMBP process. Third, we demonstrate the
applicability of the PMBP process by empirical testing using synthetic and
real-world datasets: We test the capability of the PMBP process to recover
multivariate Hawkes parameters given sample event histories of the Hawkes
process. Next, we evaluate the PMBP process on the Youtube popularity
prediction task and show that it outperforms the current state-of-the-art
Hawkes Intensity process (Rizoiu et al. (2017b)). Lastly, on a curated dataset
of COVID19 daily case counts and COVID19-related news articles for a sample of
countries, we show that clustering on the PMBP-fitted parameters enables a
categorization of countries with respect to the country-level interaction of
cases and news reporting.

5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat