5,974 research outputs found
Differential Privacy of Aggregated DC Optimal Power Flow Data
We consider the problem of privately releasing aggregated network statistics
obtained from solving a DC optimal power flow (OPF) problem. It is shown that
the mechanism that determines the noise distribution parameters are linked to
the topology of the power system and the monotonicity of the network. We derive
a measure of "almost" monotonicity and show how it can be used in conjunction
with a linear program in order to release aggregated OPF data using the
differential privacy framework.Comment: Accepted by 2019 American Control Conference (ACC
Partial Identification in Matching Models for the Marriage Market
We study partial identification of the preference parameters in models of
one-to-one matching with perfectly transferable utilities, without imposing
parametric distributional restrictions on the unobserved heterogeneity and with
data on one large market. We provide a tractable characterisation of the
identified set, under various classes of nonparametric distributional
assumptions on the unobserved heterogeneity. Using our methodology, we
re-examine some of the relevant questions in the empirical literature on the
marriage market which have been previously studied under the Multinomial Logit
assumption
The Stochastic Bottleneck Linear Programming Problem
In this paper we consider some stochastic bottleneck linear prograrnming problems. In the case when the coefficients of the objective functions are simple randomized, the minimum-risk approach will be used for solving these problems. We prove that, under some positivity conditions, these stochastic problems are reduced to certain deterministic bottleneck linear problems. Applications of these problems to the bottleneck spanning tree problems and bottleneck investment allocation problems are given. A simple numerical example is presented
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