Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing multiparameter persistent homology through a discrete
  Morse-based approach   Persistent Homology (PH) allows tracking homology features like loops, holes
and their higher-dimensional analogs, along with a single-parameter family of
nested spaces. Currently, computing descriptors for complex data characterized
by multiple functions is becoming an important task in several applications,
including physics, chemistry, medicine, geography, etc. Multiparameter
Persistent Homology (MPH) generalizes persistent homology opening to the
exploration and analysis of shapes endowed with multiple filtering functions.
Still, computational constraints prevent MPH to be feasible over real-sized
data. In this paper, we consider discrete Morse Theory as a tool to simplify
the computation of MPH on a multiparameter dataset. We propose a new algorithm,
well suited for parallel and distributed implementations and we provide the
first evaluation of the impact on MPH computations of a preprocessing approach.

5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con