Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Learning interaction rules from multi-animal trajectories via augmented
  behavioral models   Extracting the interaction rules of biological agents from movement sequences
pose challenges in various domains. Granger causality is a practical framework
for analyzing the interactions from observed time-series data; however, this
framework ignores the structures and assumptions of the generative process in
animal behaviors, which may lead to interpretational problems and sometimes
erroneous assessments of causality. In this paper, we propose a new framework
for learning Granger causality from multi-animal trajectories via augmented
theory-based behavioral models with interpretable data-driven models. We adopt
an approach for augmenting incomplete multi-agent behavioral models described
by time-varying dynamical systems with neural networks. For efficient and
interpretable learning, our model leverages theory-based architectures
separating navigation and motion processes, and the theory-guided
regularization for reliable behavioral modeling. This can provide interpretable
signs of Granger-causal effects over time, i.e., when specific others cause the
approach or separation. In experiments using synthetic datasets, our method
achieved better performance than various baselines. We then analyzed
multi-animal datasets of mice, flies, birds, and bats, which verified our
method and obtained novel biological insights.

35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th