Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Forecasting the Price-Response of a Pool of Buildings via Homothetic
  Inverse Optimization   This paper focuses on the day-ahead forecasting of the aggregate power of a
pool of smart buildings equipped with thermostatically-controlled loads. We
first propose the modeling of the aggregate behavior of its power trajectory by
using a geometric approach. Specifically, we assume that the aggregate power is
a homothet of a prototype building, whose physical and technical parameters are
chosen to be the mean of those in the pool. This allows us to preserve the
building thermal dynamics of the pool. We then apply inverse optimization to
estimate the homothetic parameters with bilevel programming. The lower level
characterizes the price-response of the ensemble by a set of marginal utility
curves and a homothet of the prototype building, which, in turn, are inferred
in the upper-level problem. The upper level minimizes the mean absolute error
over a training sample. This bilevel program is transformed into a regularized
nonlinear problem that is initialized with the solution given by an efficient
heuristic procedure. This heuristic consists in solving two linear programs and
its solution is deemed a suitable proxy for the original bilevel problem. The
results have been compared to state-of-the-art methodologies.

21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th