Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Safely Learning Dynamical Systems from Short Trajectories   A fundamental challenge in learning to control an unknown dynamical system is
to reduce model uncertainty by making measurements while maintaining safety. In
this work, we formulate a mathematical definition of what it means to safely
learn a dynamical system by sequentially deciding where to initialize the next
trajectory. In our framework, the state of the system is required to stay
within a given safety region under the (possibly repeated) action of all
dynamical systems that are consistent with the information gathered so far. For
our first two results, we consider the setting of safely learning linear
dynamics. We present a linear programming-based algorithm that either safely
recovers the true dynamics from trajectories of length one, or certifies that
safe learning is impossible. We also give an efficient semidefinite
representation of the set of initial conditions whose resulting trajectories of
length two are guaranteed to stay in the safety region. For our final result,
we study the problem of safely learning a nonlinear dynamical system. We give a
second-order cone programming based representation of the set of initial
conditions that are guaranteed to remain in the safety region after one
application of the system dynamics.

9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics